
Time bar (total: 13.9s)
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 495.0ms (49.8% of total)ival-sub: 217.0ms (21.8% of total)ival-div: 171.0ms (17.2% of total)ival-add: 85.0ms (8.6% of total)exact: 17.0ms (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 |
|---|---|---|---|---|---|
| 31 | 0 | - | 1 | (-1.8279808411751613e+66 1.6169919068992743e-159 -2.1318636431491114e+242) | (*.f64 (*.f64 w w) r) |
| 13 | 0 | - | 1 | (1.31807196796788e-216 2.6972156780324587e-301 3.4760001117589426e+284) | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 11 | 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)) |
| 9 | 0 | - | 2 | (3.0406356340358323e+254 -1.3501796923013587e+140 -3.351904976456117e-299) | (*.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)) |
| 5 | 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 | 17 | 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 | 11 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | overflow | 68 | |
| ↳ | (*.f64 w w) | overflow | 66 | |
| ↳ | (*.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 | 89 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 78 | |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 7 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 4 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 1 |
| - | 0 | 219 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 1 |
| - | 0 | 0 | 219 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 33 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 84.0ms | 512× | 0 | valid |
Compiled 328 to 70 computations (78.7% saved)
ival-mult: 29.0ms (49.7% of total)ival-sub: 19.0ms (32.5% of total)ival-div: 6.0ms (10.3% of total)ival-add: 2.0ms (3.4% of total)ival-true: 1.0ms (1.7% of total)exact: 1.0ms (1.7% 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)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(abs r)
(abs w)
Compiled 32 to 22 computations (31.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.1% | (-.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)) |
Compiled 32 to 22 computations (31.3% 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)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #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))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.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 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (-.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 (*.f64 r r) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w))) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 w w) r) |
(*.f64 r (*.f64 w w)) |
(*.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 | 1.8041734539484346 | (*.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 | 2.5937710296463914 | (/.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 | 2.797862395304011 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 7.081831111975475 | (*.f64 (*.f64 w w) r) |
| 35.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-mult: 10.0ms (52.2% of total)ival-sub: 4.0ms (20.9% of total)ival-div: 3.0ms (15.7% of total)ival-add: 1.0ms (5.2% of total)exact: 1.0ms (5.2% 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 (*.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 (*.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>) () ()) |
| Outputs |
|---|
#s(alt 3/8 (taylor 0 v) (#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 (+ 3/8 (* -1/4 v)) (taylor 0 v) (#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 (+ 3/8 (* -1/4 v)) (taylor 0 v) (#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 (+ 3/8 (* -1/4 v)) (taylor 0 v) (#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 (* -1/4 v) (taylor inf v) (#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 (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#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 (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#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 (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#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>) () ())) ()) |
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#s(alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 v) (#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 (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 v) (#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 (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 v) (#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 (* -1/4 (* (pow r 2) (* v (pow w 2)))) (taylor inf v) (#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 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) (taylor inf v) (#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 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) (taylor inf v) (#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 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) (taylor inf v) (#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 (* -1/4 (* (pow r 2) (* v (pow w 2)))) (taylor -inf v) (#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 (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#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 (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#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 (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#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>) () ())) ()) |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | 0 | (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) |
| 2.0ms | r | @ | 0 | (* (* w w) r) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | v | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 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 | 2580 | 3578 |
| 0 | 8212 | 3390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 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 (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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (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 (* 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 (* 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)))))) |
(- (+ 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)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 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 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 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)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 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 (* (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)))) |
(* 1/8 (/ (* (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))) |
(* 1/8 (/ (* (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))) |
(* 1/8 (/ (* (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))) |
(* 1/8 (/ (* (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))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) (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)))) |
(* -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) (* 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)))))) |
(* 1/8 (* (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))))) |
(* 1/8 (* (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))))) |
(* 1/8 (* (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))))) |
(* 1/8 (* (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))))) |
(* 1/8 (* (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))))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
| 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 (*.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)) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 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 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 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 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))))) (neg.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 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64))) (neg.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 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))) |
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))))) |
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)))))) |
(*.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 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.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))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
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(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 #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 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 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 (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w)))) |
(*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 w (*.f64 r w)) (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) r) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r 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 (*.f64 r w))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r)) |
(*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
Compiled 29 622 to 2 013 computations (93.2% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 19 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 597 | 19 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 96.8% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) | |
| 94.3% | (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| 46.5% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64)) | |
| 55.4% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 92.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 94.0% | (-.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 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 86.1% | (-.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)) | |
| ▶ | 96.8% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
| 46.4% | (-.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)) | |
| ▶ | 72.2% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
| 51.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) | |
| ▶ | 43.9% | #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))) |
| 78.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| 75.2% | #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 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) | |
| 72.2% | #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 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) | |
| ▶ | 87.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 55.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| 61.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (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)))))) | |
| 38.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))) |
Compiled 1 054 to 660 computations (37.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| cost-diff | 128 | (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 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 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 192 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
| 23 500× | lower-fma.f32 |
| 23 492× | lower-fma.f64 |
| 6 914× | lower-*.f32 |
| 6 888× | lower-*.f64 |
| 2 538× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 563 |
| 0 | 92 | 556 |
| 1 | 211 | 543 |
| 2 | 524 | 539 |
| 3 | 2304 | 539 |
| 4 | 6125 | 539 |
| 0 | 8381 | 514 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(literal -3/2 binary64) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r r)) |
#s(literal -1/4 binary64) |
(*.f64 r r) |
r |
w |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(-.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 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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -3/2 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -3/2 binary64))) |
#s(literal -3/2 binary64) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r r)) |
(*.f64 r (*.f64 r #s(literal -1/4 binary64))) |
#s(literal -1/4 binary64) |
(*.f64 r r) |
r |
w |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(*.f64 w w) |
w |
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) |
(fma.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 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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) |
(*.f64 r (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) |
(*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 w (*.f64 r w)) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.5937710296463914 | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) | |
| accuracy | 4.023035849668057 | (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.797862395304011 | (*.f64 r (*.f64 r (*.f64 w w))) | |
| accuracy | 7.081831111975475 | (*.f64 r (*.f64 w w)) | |
| accuracy | 13.85726945801166 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.6646625238682862 | (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| accuracy | 3.8051618129219773 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| accuracy | 8.068988005496696 | (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 35.88468103524077 | #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 | 0.04296875 | (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| accuracy | 0.140625 | (*.f64 w (*.f64 r w)) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 5.4003965615153815 | (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
| 145.0ms | 240× | 0 | valid |
| 8.0ms | 9× | 2 | valid |
| 4.0ms | 7× | 1 | valid |
Compiled 517 to 56 computations (89.2% saved)
ival-mult: 63.0ms (69.9% of total)ival-sub: 9.0ms (10% of total)ival-add: 8.0ms (8.9% of total)ival-div: 7.0ms (7.8% of total)adjust: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.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 #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 r r) (patch (*.f64 r r) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) #<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 (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (*.f64 w (*.f64 r w)) (patch (*.f64 w (*.f64 r w)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ()) |
#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (patch (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 3/8 (taylor 0 v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 v) (taylor inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 v) (taylor -inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | 0 | (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) |
| 2.0ms | r | @ | 0 | (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) |
| 1.0ms | w | @ | 0 | (- (+ 3 (/ 2 (* r r))) (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2)) |
| 1.0ms | v | @ | inf | (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) |
| 1.0ms | v | @ | 0 | (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) |
| 1× | egg-herbie |
| 19 762× | lower-fma.f64 |
| 19 762× | lower-fma.f32 |
| 5 676× | lower-*.f64 |
| 5 676× | lower-*.f32 |
| 4 080× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 12866 |
| 1 | 1280 | 12146 |
| 2 | 4272 | 11810 |
| 0 | 8454 | 11038 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 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 (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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 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 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(/ 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 (pow r 2)) |
(/ 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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))))) |
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(- (+ (* -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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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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(- (+ (* 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 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(- (+ (* -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) |
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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) |
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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)))))) |
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(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
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(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (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))))) |
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(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 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))) (* 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))) |
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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))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
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(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
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(/ 2 (pow r 2)) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
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(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
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(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
-3/8 |
(- (* -1/8 v) 3/8) |
(- (* -1/8 v) 3/8) |
(- (* -1/8 v) 3/8) |
(* -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))))) |
(* -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 (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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 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)) |
(* -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))))) |
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(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 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))))) |
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(* -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))))) |
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(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (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))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))))) (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 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
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(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
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(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 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))) (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v)))))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v)))))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v)))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) v)) (* 1/8 (* (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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (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 (* 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 (* 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)))))) |
(- (+ 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)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(+ (* (pow r 2) (* 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))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v) |
(* -1 (/ (* (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)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (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))))))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 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))))) |
(+ 9/2 (+ (* 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)))))) |
(+ 9/2 (+ (* 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))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* -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))))) |
(+ 9/2 (+ (* -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))))) |
(+ 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))))) |
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)))) |
(* 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))))) |
(* 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))))) |
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)))) |
(* 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))))) |
(* 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))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 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)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (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)))) |
(+ (* -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)))) |
(* 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) (* 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)))))) |
(* 1/8 (* (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))))) |
(* 1/8 (* (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))))) |
(* 1/8 (* (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))))) |
(* 1/8 (* (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))))) |
(* 1/8 (* (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))))) |
(* 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 (* (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 (* (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)))) |
(* 1/8 (/ (* (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))) |
(* 1/8 (/ (* (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))) |
(* 1/8 (/ (* (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))) |
(* 1/8 (/ (* (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))) |
(* 1/8 (/ (* (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))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(fma.f64 #s(literal 1/4 binary64) (neg.f64 v) #s(literal 3/8 binary64)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(fma.f64 #s(literal 1/4 binary64) (neg.f64 v) #s(literal 3/8 binary64)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(fma.f64 #s(literal 1/4 binary64) (neg.f64 v) #s(literal 3/8 binary64)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
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(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r))) |
(+ (* 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)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v #s(literal 1/8 binary64)))) |
(+ (* 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)))))))) |
(fma.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))))) |
(+ (* 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)))))))))) |
(fma.f64 v (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64)))) (*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(+ (* 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 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) v)) |
(+ (* 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 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 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v)) (fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v)))) (*.f64 v v)))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(+ (* -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 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) v)) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 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 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64)))) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 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)))) |
| 3 990× | lower-*.f32 |
| 3 964× | lower-*.f64 |
| 3 696× | lower-/.f32 |
| 3 690× | lower-/.f64 |
| 3 400× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 422 |
| 0 | 92 | 415 |
| 1 | 424 | 371 |
| 2 | 3350 | 371 |
| 0 | 8215 | 340 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.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(literal 2 binary64) (*.f64 r r))) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) |
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 w (*.f64 r w)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 w w)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) |
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
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(*.f64 (*.f64 w w) (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (*.f64 r w)) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) r) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r r)) (*.f64 w w)) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (*.f64 r r)) |
(*.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) |
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) r) (*.f64 w w)) |
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (*.f64 r w)) w) |
(*.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) r) w) |
(+.f64 (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/8 binary64))) |
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (*.f64 v #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/8 binary64))) |
(fma.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))) |
(neg.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))))) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (*.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 1/8 binary64)) |
(*.f64 (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r)) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64))) |
Compiled 65 303 to 2 921 computations (95.5% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 696 | 18 | 1 714 |
| Fresh | 11 | 3 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 711 | 22 | 1 733 |
| Status | Accuracy | Program |
|---|---|---|
| 59.8% | (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| 40.4% | (-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) #s(literal 9/2 binary64)) | |
| 50.0% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 46.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 43.9% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) r))) #s(literal 9/2 binary64)) | |
| 83.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 30.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 25.7% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) | |
| 54.7% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| ▶ | 51.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
| ▶ | 87.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
| ▶ | 55.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ▶ | 92.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| 84.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) | |
| 43.9% | #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)) | |
| ✓ | 43.9% | #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))) |
| 78.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| 72.2% | #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 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) | |
| ▶ | 61.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) |
| 38.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))) | |
| 42.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) | |
| 38.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
Compiled 1 039 to 604 computations (41.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) | |
| cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.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(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) | |
| cost-diff | 640 | (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (*.f64 r #s(literal -3/2 binary64)) | |
| cost-diff | 0 | (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| cost-diff | 0 | (*.f64 r (*.f64 r w)) | |
| cost-diff | 0 | (*.f64 w #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| 10 720× | lower-fma.f32 |
| 10 712× | lower-fma.f64 |
| 7 016× | lower-*.f32 |
| 6 994× | lower-*.f64 |
| 1 656× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 514 |
| 0 | 96 | 511 |
| 1 | 224 | 501 |
| 2 | 512 | 491 |
| 3 | 1685 | 482 |
| 4 | 5622 | 482 |
| 0 | 8447 | 465 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(*.f64 w #s(literal -1/4 binary64)) |
w |
#s(literal -1/4 binary64) |
(*.f64 r (*.f64 r w)) |
r |
(*.f64 r w) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (/.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(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
r |
(*.f64 r #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(*.f64 r r) |
r |
#s(literal -3/8 binary64) |
w |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 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 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) |
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))) |
#s(literal -3/2 binary64) |
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(*.f64 w w) |
w |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
#s(literal -1/4 binary64) |
(*.f64 r r) |
r |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
#s(literal 2 binary64) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 w #s(literal -1/4 binary64)) |
w |
#s(literal -1/4 binary64) |
(*.f64 r (*.f64 r w)) |
r |
(*.f64 r w) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #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) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
r |
(*.f64 r #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.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)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) |
(*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(*.f64 r r) |
r |
#s(literal -3/8 binary64) |
w |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 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 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 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(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))) |
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(literal -3/2 binary64) |
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 w w) |
w |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
#s(literal -1/4 binary64) |
(*.f64 r r) |
r |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
#s(literal 2 binary64) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.797862395304011 | (*.f64 r (*.f64 r (*.f64 w w))) | |
| accuracy | 3.8051618129219773 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) | |
| accuracy | 7.081831111975475 | (*.f64 r (*.f64 w w)) | |
| accuracy | 18.046767652099177 | (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.6996500534898145 | (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| accuracy | 4.452069861004373 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) | |
| accuracy | 8.078366921924898 | (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) | |
| accuracy | 0 | (*.f64 r #s(literal -3/2 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 17.75585542416129 | (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) | |
| accuracy | 28.392080810673445 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.006191259768442017 | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 28.392080810673445 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| accuracy | 0.09375 | (*.f64 r (*.f64 r w)) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.6568500238682862 | (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) | |
| accuracy | 3.8051618129219773 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| 91.0ms | 256× | 0 | valid |
Compiled 395 to 63 computations (84.1% saved)
ival-mult: 40.0ms (57.5% of total)ival-add: 12.0ms (17.3% of total)ival-sub: 9.0ms (12.9% of total)ival-div: 8.0ms (11.5% of total)exact: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 w #s(literal -1/4 binary64)) (patch (*.f64 w #s(literal -1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 r (*.f64 r w)) (patch (*.f64 r (*.f64 r w)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ()) |
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) (patch (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #<representation binary64>) () ()) |
#s(alt (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (patch (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 r #s(literal -3/2 binary64)) (patch (*.f64 r #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) (patch (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) (patch (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) (patch (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.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 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.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(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))) (patch (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) (patch #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ()) |
#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) (taylor 0 v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -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))))) (taylor 0 v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 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))))) (taylor 0 v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ()) |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | w | @ | 0 | (* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w)))))) |
| 1.0ms | r | @ | 0 | (* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w)))))) |
| 1.0ms | r | @ | inf | (* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w)))))) |
| 1.0ms | w | @ | inf | (* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w)))))) |
| 0.0ms | r | @ | 0 | (/ (+ (* r (* r -3/2)) 2) (* r r)) |
| 1× | egg-herbie |
| 12 484× | lower-fma.f64 |
| 12 484× | lower-fma.f32 |
| 3 786× | lower-*.f64 |
| 3 786× | lower-*.f32 |
| 3 204× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 8754 |
| 1 | 646 | 8524 |
| 2 | 2006 | 8092 |
| 3 | 6910 | 8072 |
| 0 | 8074 | 7602 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(- (* 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))) (* 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))) |
(* (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 w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (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 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))))) |
(/ 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)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 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))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 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))))) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(/ 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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))))) |
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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 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)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-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)) |
(/ 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 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
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(- (+ (* -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) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(* (pow 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)))))) |
(/ 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)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
2 |
(+ 2 (* -3/2 (pow r 2))) |
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(* -3/2 (pow r 2)) |
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2)) |
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2)) |
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2)) |
(* -3/2 (pow r 2)) |
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2)) |
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2)) |
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2)) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 r) |
(* -3/2 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(/ 2 (pow r 2)) |
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(* -3/8 (* (pow r 2) w)) |
(/ 2 (pow r 2)) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(/ 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 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)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 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))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 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))))) |
(- (* 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))) (* 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))) |
(* (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 w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (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 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))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(/ 2 (pow r 2)) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 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)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (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 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -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))))) |
(+.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* 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))))) |
(fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(- (+ (* 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))))) |
(fma.f64 v (fma.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (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) |
(+.f64 (fma.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 (fma.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) 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)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (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)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (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)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) 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)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (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)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (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)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.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 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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 r (*.f64 r (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) #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 r (*.f64 r (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 r r) #s(literal -1/4 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 r r) #s(literal -1/4 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 r r) #s(literal -1/4 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 r r) #s(literal -1/4 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 r r) #s(literal -1/4 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 r r) #s(literal -1/4 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (pow.f64 r #s(literal 4 binary64)) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (pow.f64 r #s(literal 4 binary64)) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (pow.f64 r #s(literal 4 binary64)) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(*.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(*.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(*.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(*.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(*.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(*.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
| 4 212× | lower-*.f32 |
| 4 212× | lower-fma.f32 |
| 4 204× | lower-fma.f64 |
| 4 190× | lower-*.f64 |
| 3 910× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 430 |
| 0 | 96 | 430 |
| 1 | 457 | 389 |
| 2 | 3440 | 389 |
| 0 | 8550 | 360 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(*.f64 w #s(literal -1/4 binary64)) |
(*.f64 r (*.f64 r w)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 r #s(literal -3/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) |
(*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 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(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) |
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))) |
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(*.f64 r (*.f64 w w)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))) |
(+.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(+.f64 (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))) (-.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (/.f64 (*.f64 (+.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 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))) |
(fma.f64 r (*.f64 (*.f64 r w) (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 w (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))) |
(fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r r)) #s(literal -1/64 binary64))) (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))))) #s(literal -3/2 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 r r))))) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #s(literal 9/4 binary64))) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -3/2 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))) |
(fma.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))) |
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal -1/4 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (+.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 -1/64 binary64) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (+.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 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (+.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 -1/64 binary64) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r))))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))))) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (+.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 -1/64 binary64) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r))))))) (fma.f64 (+.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 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (+.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 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (+.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 -1/64 binary64) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r)))))))))) |
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(/.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))))) |
(/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))) (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)) (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))) (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))) (neg.f64 (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))) #s(literal 9/4 binary64)) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))))) (neg.f64 (neg.f64 (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))) #s(literal 9/4 binary64))) (neg.f64 (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)) (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))) (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)))) |
(*.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))) |
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(*.f64 (*.f64 r w) w) |
(*.f64 (*.f64 w w) r) |
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #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 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 w (*.f64 w (*.f64 r r))) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 (*.f64 w (*.f64 r r)) w) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(*.f64 (*.f64 r (*.f64 w w)) r) |
Compiled 26 277 to 1 262 computations (95.2% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 047 | 12 | 1 059 |
| Fresh | 5 | 11 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 054 | 27 | 1 081 |
| Status | Accuracy | Program |
|---|---|---|
| 40.4% | (-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) #s(literal 9/2 binary64)) | |
| 50.0% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 46.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 43.9% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) r))) #s(literal 9/2 binary64)) | |
| 83.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| ▶ | 30.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
| 25.7% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) | |
| 54.7% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| 87.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) | |
| 70.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) | |
| 19.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| ▶ | 37.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
| 83.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) | |
| 55.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) | |
| ✓ | 55.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ▶ | 12.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
| 42.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) | |
| 36.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) | |
| ▶ | 91.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| ✓ | 92.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| 43.9% | #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)) | |
| ✓ | 43.9% | #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))) |
| 72.2% | #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 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) | |
| ✓ | 61.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) |
| ▶ | 42.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
| 36.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) | |
| 38.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
Compiled 1 065 to 619 computations (41.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) | |
| cost-diff | 320 | (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #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 (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (*.f64 w #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| 12 156× | lower-fma.f32 |
| 12 146× | lower-fma.f64 |
| 7 114× | lower-*.f32 |
| 7 090× | lower-*.f64 |
| 2 472× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 581 |
| 0 | 113 | 572 |
| 1 | 267 | 563 |
| 2 | 687 | 555 |
| 3 | 2509 | 552 |
| 4 | 6520 | 552 |
| 0 | 8438 | 535 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) |
(*.f64 w #s(literal -1/4 binary64)) |
w |
#s(literal -1/4 binary64) |
(*.f64 r 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) |
(*.f64 r r) |
r |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(*.f64 w w) |
w |
#s(literal -1/4 binary64) |
#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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) |
(*.f64 r r) |
r |
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) |
w |
(*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) |
v |
#s(literal -1/8 binary64) |
#s(literal -3/8 binary64) |
#s(literal 3 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) |
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
w |
(*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 r r) #s(literal -1/8 binary64)) |
(*.f64 r r) |
r |
#s(literal -1/8 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r 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 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) |
(*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) |
(*.f64 w #s(literal -1/4 binary64)) |
w |
#s(literal -1/4 binary64) |
(*.f64 r 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64)))) |
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64)) |
(*.f64 r r) |
r |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(*.f64 w (*.f64 w #s(literal -1/4 binary64))) |
(*.f64 w w) |
w |
#s(literal -1/4 binary64) |
#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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64)))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) |
(fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64)) |
(*.f64 r r) |
r |
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) |
w |
(*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) |
v |
#s(literal -1/8 binary64) |
#s(literal -3/8 binary64) |
#s(literal 3 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 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 (*.f64 r (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (+.f64 v #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (+.f64 v #s(literal -1 binary64))) |
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) |
(*.f64 r (*.f64 r (*.f64 w (*.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)))))) |
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
w |
(*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 r r) #s(literal -1/8 binary64)) |
(*.f64 r (*.f64 r #s(literal -1/8 binary64))) |
(*.f64 r r) |
r |
#s(literal -1/8 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1484375 | (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) | |
| accuracy | 2.5937710296463914 | (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) | |
| accuracy | 14.635646208031845 | (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) | |
| accuracy | 34.45107401425301 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 0.13671875 | (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) | |
| accuracy | 13.017255644519908 | (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) | |
| accuracy | 13.85726945801166 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) | |
| accuracy | 26.347878787391952 | #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) | |
| accuracy | 0.39790511440395826 | (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) | |
| accuracy | 3.8051618129219773 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) | |
| accuracy | 10.96589113368524 | (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) | |
| accuracy | 27.986841699017628 | #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) | |
| accuracy | 28.392080810673445 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) | |
| accuracy | 32.309994057855434 | #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)) | |
| accuracy | 0.140625 | (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) | |
| accuracy | 0.7439421498149871 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.6227596360518817 | (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) | |
| accuracy | 3.8051618129219773 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| 171.0ms | 218× | 0 | valid |
| 20.0ms | 22× | 2 | valid |
| 16.0ms | 16× | 1 | valid |
Compiled 419 to 72 computations (82.8% saved)
ival-mult: 135.0ms (76.3% of total)ival-add: 18.0ms (10.2% of total)ival-div: 8.0ms (4.5% of total)ival-sub: 8.0ms (4.5% of total)adjust: 7.0ms (4% 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 #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) (patch (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) #<representation binary64>) () ()) |
#s(alt (*.f64 w #s(literal -1/4 binary64)) (patch (*.f64 w #s(literal -1/4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)) (patch #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #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 (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) (patch #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) #<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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) (patch #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (patch (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 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 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) 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 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/4 (pow w 2)) (taylor 0 w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor 0 w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor 0 w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor inf w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor inf w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor inf w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor inf w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor -inf w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor -inf w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor -inf w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (pow w 2)) (taylor -inf w) (#s(alt (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor 0 w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor 0 w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor 0 w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor 0 w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor -inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor -inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor -inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor -inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (pow w 2)) (taylor 0 v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) (taylor 0 v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) (taylor 0 v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) (taylor 0 v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (* v (pow w 2))) (taylor inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) (taylor inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) (taylor inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) (taylor inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (* v (pow w 2))) (taylor -inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) (taylor -inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) (taylor -inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) (taylor -inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ()) |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | w | @ | 0 | (* (* w -1/4) (* r w)) |
| 2.0ms | r | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | w | @ | 0 | (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) |
| 0.0ms | w | @ | inf | (* w (* w (+ (* v -1/8) -3/8))) |
| 0.0ms | v | @ | -inf | (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) |
| 1× | egg-herbie |
| 18 346× | lower-fma.f64 |
| 18 346× | lower-fma.f32 |
| 5 162× | lower-+.f64 |
| 5 162× | lower-+.f32 |
| 5 126× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 11506 |
| 1 | 1078 | 11026 |
| 2 | 3553 | 10014 |
| 0 | 8472 | 9365 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(- (* 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))) (* 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))) |
(* (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 w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (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 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))))) |
(/ 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)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 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))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 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))))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(/ 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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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(- (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 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)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-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 (* -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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(- (* 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))) (* 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))) |
(* (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 w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (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 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))))) |
(/ 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)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 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))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 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))))) |
-3/2 |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
-3/2 |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (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)))))) |
(/ 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (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 (* 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 (* 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)))))) |
(- (+ 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)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 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))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))))) (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 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 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))) (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 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))) (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v)))))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v)))))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v)))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
3 |
(+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) |
(+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) |
(+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3 (/ 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 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow r 2))))) |
3 |
(+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) |
(+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) |
(+ 3 (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow w 2))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3 (/ 1 (pow w 2))))) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2)))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2)))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (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))) (* 3 (/ 1 v))))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (* 3 (/ 1 v))))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (* 3 (/ 1 v))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (* (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))))) |
(* -1/8 (* (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))))) |
(* -1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* -1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* -3/8 (* (pow r 2) (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))) (* 1/4 (* (pow r 2) (* v (pow w 2))))) |
(* 1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(* 1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))) |
(* -1 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))) |
(* -1 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 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))))) |
(* -1/8 (* (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))))) |
(* -1/8 (* (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))))) |
(/ 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (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 (/ 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 (* 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 (/ (- (* 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) |
(- (+ (* -1/8 (/ (* (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))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1/8 (/ (* (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))) |
(* -1/8 (/ (* (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))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -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))) (* 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 (* (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))) (+ (* -1/8 (/ (- (* -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 (* (pow r 2) (pow w 2))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) |
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) |
(* -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))) |
(* -1/8 (/ (* (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))) |
(* -1/8 (/ (* (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) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(* 3 (pow w 2)) |
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2))) |
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2))) |
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2))) |
(* -2 (* v (pow w 2))) |
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v)))) |
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v)))) |
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v)))) |
(* -2 (* v (pow w 2))) |
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2))))) |
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2))))) |
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2))))) |
(/ 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 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* -1/4 (pow w 2)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(* -3/8 (pow w 2)) |
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) |
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) |
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) |
(* -1/8 (* v (pow w 2))) |
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) |
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) |
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) |
(* -1/8 (* v (pow w 2))) |
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) |
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) |
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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 (*.f64 r r) (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)) #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 (*.f64 r r) (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)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 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)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.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)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.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))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 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)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.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)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.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 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -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))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* 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))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) |
(- (+ (* 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))))) |
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) v))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -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 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (+.f64 #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)))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #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))))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* 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 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (+.f64 #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))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 1/8 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v)) v)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.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 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.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 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.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 #s(literal 2 binary64) (*.f64 r r))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* (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)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (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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3 |
#s(literal 3 binary64) |
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(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* (pow w 2) (+ 3 (* -2 v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* 3 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 3 binary64)) |
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) |
(* -2 (* v (pow w 2))) |
(*.f64 v (*.f64 (*.f64 w w) #s(literal -2 binary64))) |
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v)))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v)))) |
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v)))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v)))) |
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v)))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v)))) |
(* -2 (* v (pow w 2))) |
(*.f64 v (*.f64 (*.f64 w w) #s(literal -2 binary64))) |
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2))))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v)))) |
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2))))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v)))) |
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2))))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v)))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* -1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* (pow w 2) (- (* -1/8 v) 3/8)) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* -3/8 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal -3/8 binary64)) |
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) |
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(* -1/8 (* v (pow w 2))) |
(*.f64 v (*.f64 #s(literal -1/8 binary64) (*.f64 w w))) |
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)))) |
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)))) |
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)))) |
(* -1/8 (* v (pow w 2))) |
(*.f64 v (*.f64 #s(literal -1/8 binary64) (*.f64 w w))) |
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)))) |
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)))) |
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) |
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)))) |
| 4 542× | lower-*.f32 |
| 4 518× | lower-*.f64 |
| 4 390× | lower-fma.f32 |
| 4 380× | lower-fma.f64 |
| 3 664× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 507 |
| 0 | 113 | 498 |
| 1 | 520 | 457 |
| 2 | 3920 | 457 |
| 0 | 8839 | 415 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) |
(*.f64 w #s(literal -1/4 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (/ (+ (* r (* r -3/2)) 2) (* 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) |
(*.f64 r r) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 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 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))))) |
(+.f64 (*.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(+.f64 (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (*.f64 (+.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 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) |
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 w (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 r r))))) (*.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))))) |
(fma.f64 (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r w))) #s(literal -1/64 binary64)) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/4 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 w (*.f64 (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 r (*.f64 r #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 w (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (*.f64 r (*.f64 r #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 w (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (*.f64 r (*.f64 r #s(literal -1/8 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))))) |
(*.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (neg.f64 (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 w w) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 r (*.f64 r #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w (/.f64 (*.f64 r (*.f64 r #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 (*.f64 r (*.f64 r #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r (*.f64 r #s(literal -1/8 binary64))) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 r #s(literal -1/8 binary64))) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (neg.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 v #s(literal 1 binary64))) |
(+.f64 (*.f64 w (*.f64 w (*.f64 v #s(literal -2 binary64)))) (*.f64 w (*.f64 #s(literal 3 binary64) w))) |
(+.f64 (*.f64 (*.f64 w w) #s(literal 3 binary64)) (*.f64 (*.f64 w w) (*.f64 v #s(literal -2 binary64)))) |
(+.f64 (*.f64 (*.f64 w w) (*.f64 v #s(literal -2 binary64))) (*.f64 (*.f64 w w) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 w (*.f64 v #s(literal -2 binary64))) w) (*.f64 (*.f64 #s(literal 3 binary64) w) w)) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 w w)) (*.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 w w))) |
(+.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 w w)) (*.f64 #s(literal 3 binary64) (*.f64 w w))) |
(fma.f64 #s(literal 3 binary64) (*.f64 w w) (*.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 w w))) |
(fma.f64 w (*.f64 w (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 #s(literal 3 binary64) w))) |
(fma.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 w w) (*.f64 #s(literal 3 binary64) (*.f64 w w))) |
(fma.f64 (*.f64 w w) #s(literal 3 binary64) (*.f64 (*.f64 w w) (*.f64 v #s(literal -2 binary64)))) |
(fma.f64 (*.f64 w w) (*.f64 v #s(literal -2 binary64)) (*.f64 (*.f64 w w) #s(literal 3 binary64))) |
(fma.f64 (*.f64 w (*.f64 v #s(literal -2 binary64))) w (*.f64 (*.f64 #s(literal 3 binary64) w) w)) |
(/.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v)) #s(literal 27 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))) |
(/.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v)) #s(literal 27 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 w w) (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 (*.f64 w w) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v)) #s(literal 27 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v)) #s(literal 27 binary64)))) (neg.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 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))) |
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 w w) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w w)) |
(*.f64 (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) w) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 r r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 r r))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 r r))))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 r (/.f64 #s(literal 2 binary64) r)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) r)) (neg.f64 r)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) r))) (neg.f64 (neg.f64 r))) |
(pow.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 r (/.f64 #s(literal 2 binary64) r)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 w (*.f64 w #s(literal -1/4 binary64))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 w w)) |
(*.f64 (*.f64 w #s(literal -1/4 binary64)) w) |
(*.f64 (*.f64 w w) #s(literal -1/4 binary64)) |
(+.f64 (*.f64 w (*.f64 v (*.f64 #s(literal -1/8 binary64) w))) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) |
(+.f64 (*.f64 (*.f64 w w) (*.f64 v #s(literal -1/8 binary64))) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) (*.f64 v #s(literal -1/8 binary64)))) |
(+.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/8 binary64) w)) w) (*.f64 (*.f64 w #s(literal -3/8 binary64)) w)) |
(+.f64 (*.f64 (*.f64 v #s(literal -1/8 binary64)) (*.f64 w w)) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 (*.f64 v #s(literal -1/8 binary64)) (*.f64 w w))) |
(fma.f64 w (*.f64 v (*.f64 #s(literal -1/8 binary64) w)) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) |
(fma.f64 (*.f64 w w) (*.f64 v #s(literal -1/8 binary64)) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 w w) #s(literal -3/8 binary64) (*.f64 (*.f64 w w) (*.f64 v #s(literal -1/8 binary64)))) |
(fma.f64 (*.f64 v #s(literal -1/8 binary64)) (*.f64 w w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 w w) (*.f64 (*.f64 v #s(literal -1/8 binary64)) (*.f64 w w))) |
(fma.f64 (*.f64 v (*.f64 #s(literal -1/8 binary64) w)) w (*.f64 (*.f64 w #s(literal -3/8 binary64)) w)) |
(/.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/512 binary64) #s(literal -27/512 binary64))) (-.f64 (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal 3/64 binary64)))) |
(/.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/512 binary64) #s(literal -27/512 binary64))) (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) (fma.f64 v #s(literal -3/64 binary64) #s(literal 9/64 binary64)))) |
(/.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) #s(literal -9/64 binary64))) (fma.f64 v #s(literal -1/8 binary64) #s(literal 3/8 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/512 binary64) #s(literal -27/512 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal 3/64 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/512 binary64) #s(literal -27/512 binary64)))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) (fma.f64 v #s(literal -3/64 binary64) #s(literal 9/64 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) #s(literal -9/64 binary64)))) (neg.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal 3/8 binary64)))) |
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) |
(*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 w w)) |
(*.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) w) |
Compiled 23 199 to 1 181 computations (94.9% saved)
31 alts after pruning (25 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 935 | 16 | 951 |
| Fresh | 9 | 9 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 947 | 31 | 978 |
| Status | Accuracy | Program |
|---|---|---|
| 50.0% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 46.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 43.9% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) r))) #s(literal 9/2 binary64)) | |
| 36.9% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 36.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| ✓ | 30.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
| 29.5% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) #s(approx (* w (* w (+ (* v -1/8) -3/8))) (*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 42.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) | |
| 87.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) | |
| 19.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 39.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (neg.f64 r)) (-.f64 #s(literal 1 binary64) v))) | |
| 42.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) | |
| 39.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))) | |
| 55.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) | |
| ✓ | 55.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | 12.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
| 36.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))) | |
| 27.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) | |
| 31.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) | |
| 36.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) | |
| 36.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) | |
| 42.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) | |
| ✓ | 92.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| 43.9% | #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)) | |
| ✓ | 43.9% | #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))) |
| ✓ | 61.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) |
| 44.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) | |
| 49.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) | |
| 50.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) | |
| 38.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
Compiled 1 884 to 588 computations (68.8% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (neg.f64 r)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) #s(approx (* w (* w (+ (* v -1/8) -3/8))) (*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #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 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 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)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (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 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
6 calls:
| 75.0ms | v |
| 58.0ms | (*.f64 w w) |
| 22.0ms | r |
| 20.0ms | w |
| 19.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | v |
| 99.2% | 2 | w |
| 99.2% | 2 | r |
| 96.8% | 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)) |
| 96.8% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.2% | 2 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (neg.f64 r)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) #s(approx (* w (* w (+ (* v -1/8) -3/8))) (*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #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 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
6 calls:
| 44.0ms | w |
| 30.0ms | v |
| 22.0ms | (*.f64 w w) |
| 17.0ms | r |
| 13.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | v |
| 96.4% | 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)) |
| 96.4% | 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))) |
| 98.2% | 2 | r |
| 95.1% | 2 | (*.f64 w w) |
| 95.1% | 2 | w |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (neg.f64 r)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) #s(approx (* w (* w (+ (* v -1/8) -3/8))) (*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #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 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r 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) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
3 calls:
| 29.0ms | r |
| 14.0ms | (-.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))) |
| 11.0ms | (-.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 |
|---|---|---|
| 96.8% | 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)) |
| 96.8% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 94.9% | 2 | r |
Compiled 66 to 45 computations (31.8% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
4 calls:
| 15.0ms | (*.f64 w w) |
| 11.0ms | w |
| 11.0ms | (-.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)) |
| 10.0ms | (-.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 |
|---|---|---|
| 95.1% | 2 | w |
| 95.1% | 2 | (*.f64 w w) |
| 96.6% | 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)) |
| 96.6% | 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 72 to 49 computations (31.9% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
2 calls:
| 28.0ms | (*.f64 w w) |
| 11.0ms | w |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 2 | w |
| 95.1% | 2 | (*.f64 w w) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
6 calls:
| 42.0ms | (*.f64 w w) |
| 13.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 12.0ms | v |
| 11.0ms | w |
| 10.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | v |
| 92.5% | 1 | r |
| 92.5% | 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)) |
| 92.5% | 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))) |
| 92.5% | 1 | w |
| 92.5% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
6 calls:
| 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))) |
| 12.0ms | v |
| 11.0ms | r |
| 10.0ms | w |
| 9.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 2 | w |
| 92.2% | 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)) |
| 92.2% | 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))) |
| 92.7% | 2 | (*.f64 w w) |
| 93.9% | 2 | r |
| 87.4% | 1 | v |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)) |
5 calls:
| 12.0ms | r |
| 12.0ms | (*.f64 w w) |
| 10.0ms | (-.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))) |
| 9.0ms | w |
| 8.0ms | (-.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 |
|---|---|---|
| 92.1% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.1% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 77.2% | 3 | w |
| 75.9% | 3 | (*.f64 w w) |
| 88.6% | 2 | r |
Compiled 76 to 52 computations (31.6% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #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 (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #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 (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
2 calls:
| 17.0ms | (-.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))) |
| 7.0ms | (-.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 |
|---|---|---|
| 92.1% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.1% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #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 (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
2 calls:
| 7.0ms | (-.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 |
|---|---|---|
| 92.1% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.1% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
2 calls:
| 5.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 89.9% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
6 calls:
| 10.0ms | (*.f64 w w) |
| 7.0ms | v |
| 3.0ms | w |
| 3.0ms | 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 |
|---|---|---|
| 55.6% | 1 | (*.f64 w w) |
| 55.6% | 1 | w |
| 55.6% | 1 | r |
| 55.6% | 1 | v |
| 55.6% | 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)) |
| 55.6% | 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 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| Outputs |
|---|
#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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
6 calls:
| 2.0ms | w |
| 2.0ms | v |
| 2.0ms | r |
| 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 | (-.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 |
|---|---|---|
| 43.9% | 1 | v |
| 55.0% | 2 | r |
| 45.7% | 2 | w |
| 53.7% | 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)) |
| 53.7% | 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))) |
| 43.9% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
6 calls:
| 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 | w |
| 1.0ms | v |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.7% | 1 | (*.f64 w w) |
| 12.7% | 1 | v |
| 12.7% | 1 | w |
| 12.7% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 12.7% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 12.7% | 1 | r |
Compiled 80 to 55 computations (31.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 6.437391949967491e+161 | 1.0491222681498419e+165 |
| 5.0ms | 48× | 0 | valid |
Compiled 191 to 133 computations (30.4% saved)
ival-mult: 2.0ms (56.5% of total)ival-div: 1.0ms (28.3% of total)ival-sub: 1.0ms (28.3% 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 | 3.3767994083429884 | 375.80513447831254 |
| 12.0ms | 112× | 0 | valid |
Compiled 364 to 245 computations (32.7% saved)
ival-mult: 4.0ms (48.2% of total)ival-sub: 2.0ms (24.1% of total)ival-div: 1.0ms (12% of total)ival-add: 1.0ms (12% of total)ival-true: 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 | -2.0772054254656194 | 2.9999999999999356 |
| 0.0ms | -inf | -1.4723121934179104e+289 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15163887555.799915 | 144818902401788480.0 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15163887555.799915 | 144818902401788480.0 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 7.224686110757812e+112 | 2.185351092026026e+113 |
| 3.0ms | 32× | 0 | valid |
Compiled 109 to 74 computations (32.1% saved)
ival-sub: 1.0ms (42% of total)ival-mult: 1.0ms (42% of total)ival-div: 0.0ms (0% 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.175395913062107 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.175395913062107 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.175395913062107 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.0772054254656194 | 2.9999999999999356 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.0019348199378723479 | 0.9536901647461434 |
| 13.0ms | 128× | 0 | valid |
Compiled 171 to 124 computations (27.5% saved)
ival-mult: 5.0ms (51.6% of total)ival-div: 2.0ms (20.7% of total)ival-sub: 2.0ms (20.7% of total)ival-add: 1.0ms (10.3% 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 |
| 270× | unsub-neg_binary64 |
| 198× | neg-mul-1_binary64 |
| 116× | *-commutative_binary64 |
| 110× | distribute-lft-neg-in_binary64 |
| 94× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1369 |
| 1 | 206 | 1369 |
| 2 | 246 | 1369 |
| 3 | 288 | 1368 |
| 4 | 341 | 1368 |
| 5 | 398 | 1368 |
| 6 | 540 | 1368 |
| 7 | 754 | 1368 |
| 8 | 873 | 1368 |
| 9 | 890 | 1368 |
| 10 | 891 | 1368 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 w #s(literal 200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 r #s(literal 370 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #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) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r 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) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))) |
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(if (<=.f64 r #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))) |
(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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))) |
(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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(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 -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #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) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(if (<=.f64 r #s(literal 4278419646001971/4503599627370496 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
| Outputs |
|---|
(if (<=.f64 w #s(literal 200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 w #s(literal 200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 r #s(literal 370 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 370 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #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) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r 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) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 w r)) (+.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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w r) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (+.f64 v #s(literal -1 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))) |
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w r) (*.f64 w #s(literal -1/4 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))) |
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w r) (*.f64 w #s(literal -1/4 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) w (/.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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(if (<=.f64 r #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64))))) |
(if (<=.f64 r #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.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 (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 w 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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))) |
(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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 w r) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))) |
(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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))) |
(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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 w r) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))) |
(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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 w 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 (-.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 -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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)) #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 -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) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 4278419646001971/4503599627370496 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) |
| 19 762× | lower-fma.f64 |
| 19 762× | lower-fma.f32 |
| 14 382× | lower-fma.f64 |
| 14 382× | lower-fma.f32 |
| 12 484× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 430 |
| 0 | 96 | 430 |
| 1 | 457 | 389 |
| 2 | 3440 | 389 |
| 0 | 8550 | 360 |
| 0 | 386 | 12866 |
| 1 | 1280 | 12146 |
| 2 | 4272 | 11810 |
| 0 | 8454 | 11038 |
| 0 | 84 | 507 |
| 0 | 113 | 498 |
| 1 | 520 | 457 |
| 2 | 3920 | 457 |
| 0 | 8839 | 415 |
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 0 | 213 | 8754 |
| 1 | 646 | 8524 |
| 2 | 2006 | 8092 |
| 3 | 6910 | 8072 |
| 0 | 8074 | 7602 |
| 0 | 59 | 422 |
| 0 | 92 | 415 |
| 1 | 424 | 371 |
| 2 | 3350 | 371 |
| 0 | 8215 | 340 |
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2580 | 3578 |
| 0 | 8212 | 3390 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 077 to 826 computations (60.2% saved)
(abs r)
Compiled 2 104 to 778 computations (63% saved)
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