
Time bar (total: 12.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 31 to 24 computations (22.6% saved)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 495.0ms (50.8% of total)ival-sub: 212.0ms (21.7% of total)ival-div: 138.0ms (14.2% of total)ival-add: 102.0ms (10.5% of total)exact: 18.0ms (1.8% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 0 | - | 2 | (5.66583154056279e-103 3.060223133442736e-162 -4.057729137566231e+272) | (*.f64 (*.f64 w w) r) |
| 13 | 0 | - | 1 | (5664.159789461499 -2.2207737860683056e-234 -4.2792730003405616e+148) | (*.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 | - | 1 | (7.582227406246839e+30 -7.670967507091277e-303 -8.011637736889544e+142) | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| 4 | 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 | 15 | 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 | 69 | |
| ↳ | (*.f64 w w) | overflow | 71 | |
| ↳ | (*.f64 (*.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 | 88 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 77 | |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 9 | 0 |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 8 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 1 |
| - | 2 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 1 |
| - | 2 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 33 |
| 2 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 115.0ms | 512× | 0 | valid |
Compiled 328 to 70 computations (78.7% saved)
ival-mult: 47.0ms (66.9% of total)ival-sub: 12.0ms (17.1% of total)ival-div: 6.0ms (8.5% of total)ival-add: 2.0ms (2.8% of total)ival-true: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16 612× | lower-fma.f64 |
| 16 612× | lower-fma.f32 |
| 6 932× | lower-*.f32 |
| 6 918× | lower-*.f64 |
| 1 710× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 268 |
| 1 | 270 | 264 |
| 2 | 1038 | 246 |
| 3 | 3557 | 243 |
| 4 | 7112 | 243 |
| 0 | 22 | 29 |
| 0 | 36 | 29 |
| 1 | 72 | 29 |
| 2 | 184 | 25 |
| 3 | 713 | 25 |
| 4 | 3939 | 25 |
| 5 | 7914 | 25 |
| 0 | 8146 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(abs r)
(abs w)
Compiled 32 to 22 computations (31.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.0% | (-.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)) |
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)) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r) w) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) v) |
(*.f64 v #s(literal 2 binary64)) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.117550622725169 | (*.f64 (*.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 | 2.5922959293951187 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 | 2.8621782975492214 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 7.298255757777092 | (*.f64 (*.f64 w w) r) |
| 31.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-mult: 10.0ms (50.8% of total)ival-sub: 4.0ms (20.3% of total)ival-div: 3.0ms (15.3% of total)ival-add: 1.0ms (5.1% of total)exact: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (patch (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | w | @ | inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))) |
| 3.0ms | r | @ | 0 | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))) |
| 3.0ms | r | @ | inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))) |
| 3.0ms | w | @ | 0 | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))) |
| 2.0ms | v | @ | inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))) |
| 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 | 2585 | 3578 |
| 0 | 8208 | 3390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 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))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 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))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 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))))) |
(* 1/8 (* (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 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 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))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 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))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 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))))) |
(* 1/8 (* (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 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
3 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 3/8 (* (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 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* 1/4 (* (pow r 2) (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) (* 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 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* 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)))))) |
| 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 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
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(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) (*.f64 (*.f64 v v) v)) (*.f64 (neg.f64 r) r)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 v v) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))) |
(* -2 v) |
(*.f64 #s(literal -2 binary64) v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 w w) (*.f64 v v)) (*.f64 (neg.f64 r) r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w)) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 3/2 binary64))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3 binary64))) |
(* -2 v) |
(*.f64 #s(literal -2 binary64) v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) v))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) v))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) v))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) (neg.f64 v))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w)) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
| 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 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)))))) |
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v))) (*.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v))))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v)))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v))) |
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(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(neg.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 w w)) (*.f64 r r)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) (*.f64 (*.f64 w w) r)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) r) |
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 w w) r) (*.f64 r (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(*.f64 r (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))) |
Compiled 29 602 to 2 004 computations (93.2% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 602 | 13 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 603 | 13 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.0% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
| 53.9% | (fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) | |
| 52.2% | (-.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 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))))) (*.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)) | |
| 94.3% | (-.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 r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 95.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 94.1% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| ▶ | 85.4% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
| 85.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 48.5% | (-.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)) | |
| 82.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| ▶ | 85.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| ▶ | 46.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 56.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
Compiled 678 to 442 computations (34.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) | |
| cost-diff | 192 | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| cost-diff | 576 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) | |
| cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 w w) r) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 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 w r) (*.f64 w 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 w r) (*.f64 w 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))) |
| 11 002× | lower-fma.f32 |
| 10 994× | lower-fma.f64 |
| 5 630× | lower-*.f32 |
| 5 606× | lower-*.f64 |
| 1 892× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 553 |
| 0 | 93 | 538 |
| 1 | 192 | 533 |
| 2 | 504 | 517 |
| 3 | 1997 | 517 |
| 4 | 6706 | 517 |
| 0 | 8234 | 497 |
| 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 w r) (*.f64 w 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 w r) (*.f64 w 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 w r) (*.f64 w 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 w r) (*.f64 w 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 w r) (*.f64 w r)) |
(*.f64 w r) |
w |
(-.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) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
r |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) |
#s(literal 3/8 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
#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 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
v |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/8 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) w) r) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) w) r) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r) r) w) w) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) v) |
(*.f64 v #s(literal 2 binary64)) |
v |
(*.f64 (*.f64 w r) (*.f64 w r)) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 w r) |
w |
(-.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) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
r |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) |
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) |
#s(literal 3/8 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
#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 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) w) r) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) w) r) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal -3/2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
v |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/8 binary64) |
#s(literal 9/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) | |
| accuracy | 4.511796796486219 | (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 7.298255757777092 | (*.f64 (*.f64 w w) r) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.8621782975492214 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 7.298255757777092 | (*.f64 (*.f64 w w) r) | |
| accuracy | 8.639610846485265 | #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.8621782975492214 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 3.40025133730496 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| accuracy | 7.298255757777092 | (*.f64 (*.f64 w w) r) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 34.4348987367678 | #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 | 0.21712875976844204 | (*.f64 (*.f64 w r) (*.f64 w r)) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.117550622725169 | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) | |
| accuracy | 2.5922959293951187 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) |
| 171.0ms | 256× | 0 | valid |
Compiled 512 to 50 computations (90.2% saved)
ival-mult: 63.0ms (72.2% of total)ival-div: 9.0ms (10.3% of total)ival-sub: 8.0ms (9.2% of total)ival-add: 5.0ms (5.7% of total)exact: 1.0ms (1.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (patch (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w 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 w r) (*.f64 w 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 w r) (*.f64 w 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 #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ()) |
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) r) (patch (/.f64 #s(literal 2 binary64) 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 w r) (*.f64 w 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 w r) (*.f64 w 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 w r) (*.f64 w r))) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w r) (*.f64 w r)) (patch (*.f64 (*.f64 w r) (*.f64 w r)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) (patch #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 57.0ms | w | @ | 0 | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ 2 r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* (* w w) r) (/ r (- 1 v))) (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) |
| 6.0ms | r | @ | -inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ 2 r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* (* w w) r) (/ r (- 1 v))) (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) |
| 4.0ms | r | @ | 0 | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ 2 r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* (* w w) r) (/ r (- 1 v))) (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) |
| 4.0ms | r | @ | inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ 2 r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* (* w w) r) (/ r (- 1 v))) (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) |
| 3.0ms | w | @ | inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ 2 r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* (* w w) r) (/ r (- 1 v))) (+ (* (* (* (* w w) r) (/ r (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) |
| 1× | egg-herbie |
| 16 966× | lower-fma.f64 |
| 16 966× | lower-fma.f32 |
| 5 444× | lower-*.f64 |
| 5 444× | lower-*.f32 |
| 3 840× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 342 | 13270 |
| 1 | 1146 | 12551 |
| 2 | 3895 | 11722 |
| 0 | 8156 | 11009 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(* 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))))) |
(* 1/8 (* (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))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/ (* (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)) |
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))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(* 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))))) |
(* 1/8 (* (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))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/ (* (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)) |
(* 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))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(* 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))))) |
(* 1/8 (* (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))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/ (* (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)) |
(* 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))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
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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))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -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) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(* 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))))) |
(* 1/8 (* (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))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/ (* (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)) |
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) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 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))))) |
(* 1/8 (* (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))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/ (* (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)) |
(* 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) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 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))))) |
(* 1/8 (* (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))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/ (* (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)) |
(* 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))))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
3 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* (pow r 2) (pow w 2)) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(* 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) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (/ (* (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) |
(+ 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))))))) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -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)) |
(+ 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))))) |
| 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 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
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3 |
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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))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) |
(- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) |
(- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w)) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(/.f64 (*.f64 (*.f64 (neg.f64 r) r) (*.f64 w (+.f64 (/.f64 w v) w))) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v)))) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 w r)) (*.f64 w r) (/.f64 (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v)))) v)) v) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 9/2 binary64)) |
(+ 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))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 9/2 binary64))) |
(+ 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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v) #s(literal -1/8 binary64) #s(literal 9/2 binary64))) |
(+ 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))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) #s(literal 9/2 binary64)) |
| 4 418× | lower-/.f32 |
| 4 408× | lower-/.f64 |
| 3 618× | lower-*.f32 |
| 3 594× | lower-*.f64 |
| 3 288× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 426 |
| 0 | 93 | 371 |
| 1 | 405 | 366 |
| 2 | 3259 | 366 |
| 0 | 8595 | 355 |
| 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 w r) (*.f64 w 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
(/.f64 #s(literal 2 binary64) r) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 w r) (*.f64 w r))) |
(*.f64 (*.f64 w r) (*.f64 w r)) |
#s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) |
(*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v) #s(literal 3/8 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) #s(literal 3/8 binary64)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)) #s(literal 3/8 binary64)) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -9/2 binary64))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 729/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal 9/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 81/4 binary64))))) |
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 r r) r)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))))) |
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -9/2 binary64))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal -81/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal 9/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 81/4 binary64))) (-.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 729/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (+.f64 (pow.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 r r) r))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))) |
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(fma.f64 #s(literal 2 binary64) (neg.f64 v) #s(literal 3 binary64)) |
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(-.f64 #s(literal 3 binary64) (*.f64 v #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 3 binary64)) |
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#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))) |
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(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 729/8 binary64)) (+.f64 #s(literal 81/4 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -9/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 729/8 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (-.f64 #s(literal 81/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/16 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -9/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -81/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (-.f64 #s(literal 81/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/16 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 729/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -9/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -81/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (-.f64 #s(literal 81/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/16 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 729/8 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (+.f64 (fma.f64 v v v) #s(literal 1 binary64)) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 w w)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 w w) r) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1/8 binary64) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) r) (/.f64 (*.f64 w r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) r) (*.f64 (*.f64 w r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 w w) r) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 r (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(fma.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(fma.f64 r (*.f64 (*.f64 w w) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r))) #s(literal 9/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 #s(literal 81/4 binary64) (-.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -9/2 binary64))) (/.f64 #s(literal 81/4 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -9/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
Compiled 76 918 to 3 429 computations (95.5% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 865 | 12 | 1 877 |
| Fresh | 5 | 3 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 874 | 16 | 1 890 |
| Status | Accuracy | Program |
|---|---|---|
| 45.7% | (/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) | |
| ▶ | 99.0% | (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
| 54.3% | (-.f64 (-.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))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) | |
| 51.5% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 47.4% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) | |
| 48.5% | (-.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)) | |
| 54.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/8 binary64)))) | |
| ▶ | 94.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| 82.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.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 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| 46.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| ✓ | 46.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ▶ | 87.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
| ▶ | 56.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
| ▶ | 43.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
| 37.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
Compiled 767 to 438 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) | |
| cost-diff | 0 | (*.f64 w r) | |
| cost-diff | 0 | (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) | |
| cost-diff | 192 | (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
| 10 312× | lower-fma.f32 |
| 10 302× | lower-fma.f64 |
| 5 820× | lower-*.f32 |
| 5 800× | lower-*.f64 |
| 2 658× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 478 |
| 0 | 86 | 474 |
| 1 | 191 | 471 |
| 2 | 543 | 458 |
| 3 | 2373 | 458 |
| 4 | 6875 | 458 |
| 0 | 8019 | 446 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
r |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
w |
(*.f64 w r) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
#s(literal -1/8 binary64) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r r)) |
#s(literal -3/8 binary64) |
(*.f64 r r) |
r |
(*.f64 w w) |
w |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)) |
(*.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) |
w |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(*.f64 w r) |
w |
r |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
| Outputs |
|---|
(-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) w)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) w) w) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
r |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
w |
(*.f64 w r) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
#s(literal -1/8 binary64) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) w) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r r)) |
#s(literal -3/8 binary64) |
(*.f64 r r) |
r |
(*.f64 w w) |
w |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w 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) |
r |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)) |
(*.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) |
w |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #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 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(*.f64 w r) |
w |
r |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 w r)) |
#s(literal -3/8 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| accuracy | 0.171875 | (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 3.40025133730496 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.9414638674443254 | (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)) | |
| accuracy | 4.1920824415714035 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) | |
| accuracy | 7.516956740288822 | (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) | |
| accuracy | 0.1328125 | (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) | |
| accuracy | 3.40025133730496 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) | |
| accuracy | 10.740616148940585 | (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) | |
| accuracy | 29.098843677087103 | #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))) | |
| accuracy | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 27.745874445466974 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| accuracy | 0.21484375 | (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.7499896367157288 | (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) | |
| accuracy | 2.4251025522183163 | (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
| 82.0ms | 256× | 0 | valid |
Compiled 408 to 55 computations (86.5% saved)
ival-mult: 30.0ms (52.3% of total)ival-sub: 10.0ms (17.4% of total)ival-add: 9.0ms (15.7% of total)ival-div: 7.0ms (12.2% of total)exact: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (patch (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ()) |
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))) (patch #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) (patch (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 w r) (patch (*.f64 w r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) #<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 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (patch (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (patch (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (patch (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (patch (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* r w) v)) (taylor -inf v) (#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* r w) (/ (* r w) v)) v)) (taylor -inf v) (#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v)) (taylor -inf v) (#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v)) (taylor -inf v) (#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | r | @ | -inf | ((+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) (- (+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) 9/2) (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) (* (* (/ r (- 1 v)) w) (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* -3/8 (* r r)) (* w w)) -3/2) (* -3/8 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (/ r (- 1 v)) w) (* (* 1/4 (* r r)) w) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) |
| 4.0ms | r | @ | 0 | ((+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) (- (+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) 9/2) (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) (* (* (/ r (- 1 v)) w) (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* -3/8 (* r r)) (* w w)) -3/2) (* -3/8 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (/ r (- 1 v)) w) (* (* 1/4 (* r r)) w) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) |
| 4.0ms | r | @ | inf | ((+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) (- (+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) 9/2) (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) (* (* (/ r (- 1 v)) w) (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* -3/8 (* r r)) (* w w)) -3/2) (* -3/8 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (/ r (- 1 v)) w) (* (* 1/4 (* r r)) w) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) |
| 4.0ms | w | @ | 0 | ((+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) (- (+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) 9/2) (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) (* (* (/ r (- 1 v)) w) (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* -3/8 (* r r)) (* w w)) -3/2) (* -3/8 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (/ r (- 1 v)) w) (* (* 1/4 (* r r)) w) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) |
| 4.0ms | w | @ | -inf | ((+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) (- (+ (* (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) -1/8) (+ (/ 2 (* r r)) 3)) 9/2) (* (* (* (/ r (- 1 v)) w) (* w r)) (+ (* -2 v) 3)) (* (* (/ r (- 1 v)) w) (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* -3/8 (* r r)) (* w w)) -3/2) (* -3/8 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (/ r (- 1 v)) w) (* (* 1/4 (* r r)) w) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) |
| 1× | egg-herbie |
| 20 468× | lower-fma.f64 |
| 20 468× | lower-fma.f32 |
| 5 204× | lower-*.f64 |
| 5 204× | lower-*.f32 |
| 4 210× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 398 | 10507 |
| 1 | 1306 | 9891 |
| 2 | 4357 | 9494 |
| 0 | 8673 | 8837 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 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)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (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)) |
-3/2 |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -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)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(* 1/4 (* (pow r 2) w)) |
(* 1/4 (* (pow r 2) w)) |
(* 1/4 (* (pow r 2) w)) |
(* 1/4 (* (pow r 2) w)) |
3/2 |
(+ 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)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -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)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (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)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
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(* 1/4 (* (pow r 2) w)) |
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(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
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(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
-3/2 |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 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) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
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(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* r w) |
(* r w) |
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(* 1/4 (* (pow r 2) w)) |
3/2 |
(+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
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(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 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)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 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)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* r w) |
(* r w) |
(* r w) |
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(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
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(* 1/4 (* (pow r 2) w)) |
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(* 1/4 (* (pow r 2) w)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
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(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
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(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 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)) |
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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)))))) |
(* -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)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 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)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(* 1/4 (* (pow r 2) w)) |
(* 1/4 (* (pow r 2) w)) |
(* 1/4 (* (pow r 2) w)) |
(* 1/4 (* (pow r 2) w)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(+ 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 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) 3/2) |
(* 3 (* (pow r 2) (pow w 2))) |
(+ (* 3 (* (pow r 2) (pow w 2))) (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) |
(+ (* 3 (* (pow r 2) (pow w 2))) (* v (- (+ (* -2 (* (pow r 2) (pow w 2))) (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -3 (* (pow r 2) (pow w 2)))))) |
(+ (* 3 (* (pow r 2) (pow w 2))) (* v (- (+ (* -2 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* -1 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (* -3 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (pow w 2)) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 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))))) |
(* r w) |
(+ (* r w) (* r (* v w))) |
(+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w))))) |
(+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))))))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))))) 3/2) |
(* 2 (* (pow r 2) (pow w 2))) |
(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2)))) (* -2 (/ (* (pow r 2) (pow w 2)) v))) |
(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (* (pow r 2) (pow w 2))))) (+ (* -2 (/ (* (pow r 2) (pow w 2)) v)) (* -2 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) |
(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (* (pow r 2) (pow w 2))))) (+ (* -2 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -2 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* -1 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 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) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(* -1 (/ (* r w) v)) |
(/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v) |
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v) |
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(* 2 (* (pow r 2) (pow w 2))) |
(+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(* -1 (/ (* r w) v)) |
(* -1 (/ (+ (* r w) (/ (* r w) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v)) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
-3/2 |
#s(literal -3/2 binary64) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r r)) |
(* -3/8 (pow r 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r r)) |
(* -3/8 (pow r 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r r)) |
(* -3/8 (pow r 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(* r w) |
(*.f64 w r) |
(* r w) |
(*.f64 w r) |
(* r w) |
(*.f64 w r) |
(* r w) |
(*.f64 w r) |
(* -3/8 (* r w)) |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
(* -3/8 (* r w)) |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
(* -3/8 (* r w)) |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
(* -3/8 (* r w)) |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
(/ (* r w) (- 1 v)) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) r) |
(/ (* r w) (- 1 v)) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) r) |
(/ (* r w) (- 1 v)) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) r) |
(/ (* r w) (- 1 v)) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) r) |
(* 1/4 (* (pow r 2) w)) |
(*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) |
(* 1/4 (* (pow r 2) w)) |
(*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) |
(* 1/4 (* (pow r 2) w)) |
(*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) |
(* 1/4 (* (pow r 2) w)) |
(*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w #s(literal 3/2 binary64)) |
(+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w #s(literal 3/2 binary64)) |
(+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w #s(literal 3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal 3 binary64)) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal 3 binary64)) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal 3 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
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(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) (neg.f64 v))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) |
(neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 w w) r) r (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v)) v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(*.f64 (*.f64 w (/.f64 (neg.f64 w) v)) (*.f64 r r)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (fma.f64 (*.f64 (*.f64 w w) r) r (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v)) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (fma.f64 (*.f64 (*.f64 w w) r) r (/.f64 (fma.f64 (*.f64 (*.f64 w w) r) r (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v)) v)) (neg.f64 v)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/8 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v))) v)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/8 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v))) v)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/8 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v))) v)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/8 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v))) v)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w #s(literal 3/2 binary64))) |
(* -1 (/ (* r w) v)) |
(*.f64 (/.f64 (neg.f64 w) v) r) |
(* -1 (/ (+ (* r w) (/ (* r w) v)) v)) |
(/.f64 (*.f64 (neg.f64 r) (+.f64 (/.f64 w v) w)) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v)) |
(/.f64 (fma.f64 w r (/.f64 (*.f64 r (+.f64 (/.f64 w v) w)) v)) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v)) |
(/.f64 (fma.f64 w r (/.f64 (fma.f64 w r (/.f64 (*.f64 r (+.f64 (/.f64 w v) w)) v)) v)) (neg.f64 v)) |
| 4 990× | lower-fma.f32 |
| 4 980× | lower-fma.f64 |
| 3 992× | lower-*.f32 |
| 3 972× | lower-*.f64 |
| 3 684× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 388 |
| 0 | 86 | 384 |
| 1 | 385 | 355 |
| 2 | 3611 | 355 |
| 0 | 8551 | 328 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/8 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 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(*.f64 w r) |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 27/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r))))) (neg.f64 (-.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 27/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64))))))) |
(/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)))) (-.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 27/8 binary64))) (neg.f64 (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 27/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 27/8 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 27/8 binary64)) (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 27/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 27/8 binary64)))) |
(fma.f64 (*.f64 w #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) w) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w r) w) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal 3/2 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal 1/4 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) |
(fma.f64 w (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w)) |
Compiled 40 240 to 1 983 computations (95.1% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 340 | 17 | 1 357 |
| Fresh | 6 | 4 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 350 | 23 | 1 373 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.6% | (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
| 45.7% | (/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) | |
| 48.5% | (-.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)) | |
| ▶ | 84.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 49.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) | |
| 82.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| 46.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| 19.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) | |
| 52.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (*.f64 r (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))) | |
| 51.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))) | |
| ✓ | 46.1% | #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))) |
| 90.7% | #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 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w r) w) #s(literal 3/2 binary64)))) | |
| 81.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) | |
| ✓ | 56.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
| ▶ | 19.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
| 42.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) | |
| 36.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) | |
| ▶ | 11.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
| 37.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) | |
| 48.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))) | |
| ▶ | 47.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)))) |
| 48.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) r) #s(literal -3/2 binary64)))) | |
| 14.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 9/64 binary64))) (-.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r)))))) |
Compiled 1 062 to 554 computations (47.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) | |
| cost-diff | 320 | (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| cost-diff | 0 | (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) | |
| cost-diff | 0 | (*.f64 w r) | |
| cost-diff | 0 | (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.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) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| cost-diff | 0 | (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)))) | |
| cost-diff | 0 | #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) | |
| cost-diff | 320 | (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
| 13 406× | lower-fma.f32 |
| 13 398× | lower-fma.f64 |
| 6 098× | lower-*.f32 |
| 6 074× | lower-*.f64 |
| 1 644× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 499 |
| 0 | 93 | 495 |
| 1 | 187 | 479 |
| 2 | 434 | 457 |
| 3 | 1597 | 457 |
| 4 | 5794 | 457 |
| 0 | 8200 | 447 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 3 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) |
(*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) |
(*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) |
(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
w |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
r |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal -1/8 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) |
(*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) |
(*.f64 w w) |
w |
(*.f64 #s(literal -3/8 binary64) r) |
#s(literal -3/8 binary64) |
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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 w r) |
w |
r |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
#s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#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 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) |
#s(literal 4 binary64) |
(*.f64 (*.f64 r r) (*.f64 r r)) |
(*.f64 r r) |
r |
#s(literal 9/4 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(literal 1 binary64) |
(+.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) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w) r) (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 3 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) w)) |
(*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) w) |
(*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) |
(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
w |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
r |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal -1/8 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) (*.f64 w w) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) |
(*.f64 w w) |
w |
(*.f64 #s(literal -3/8 binary64) r) |
#s(literal -3/8 binary64) |
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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) r) (*.f64 #s(literal -3/8 binary64) w) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 (*.f64 r w) r) (*.f64 #s(literal -3/8 binary64) w) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 w r) |
(*.f64 r w) |
w |
r |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 r w) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
#s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#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 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.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 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) r) r)) #s(literal 9/4 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) r) r)) #s(literal 9/4 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) r) r)) #s(literal 9/4 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) r) r)) |
#s(literal 4 binary64) |
(*.f64 (*.f64 r r) (*.f64 r r)) |
(*.f64 (*.f64 (*.f64 r r) r) r) |
(*.f64 r r) |
r |
#s(literal 9/4 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(literal 1 binary64) |
(+.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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3616615270237865 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 20.974083569694344 | (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| accuracy | 27.745874445466974 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) | |
| accuracy | 0.171875 | (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 3.40025133730496 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| accuracy | 30.5202433591264 | #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| accuracy | 1.909223255411 | (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) | |
| accuracy | 3.40025133730496 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)))) | |
| accuracy | 7.346270777488961 | (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) | |
| accuracy | 29.098843677087103 | #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) | |
| accuracy | 27.745874445466974 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) | |
| accuracy | 32.81078169583843 | #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) | |
| accuracy | 0.5069175563316901 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.4251025522183163 | (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 4.091053491865511 | (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) |
| 85.0ms | 256× | 0 | valid |
Compiled 397 to 57 computations (85.6% saved)
ival-mult: 33.0ms (54% of total)ival-add: 11.0ms (18% of total)ival-sub: 8.0ms (13.1% of total)ival-div: 8.0ms (13.1% of total)exact: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) (patch (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) (patch #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) (patch (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.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) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ()) |
#s(alt (*.f64 w r) (patch (*.f64 w r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (patch (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (patch (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (patch (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<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 (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) (patch (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.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 (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.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 (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.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)) (- 1 v))) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) (patch (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) (patch (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) (patch (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow r 2) (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) (patch (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) (patch #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) (patch #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) (patch #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) (patch #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -3/2 (taylor 0 r) (#s(alt (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* r (pow w 2))) (taylor 0 r) (#s(alt (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) (patch (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* r (pow w 2))) (taylor 0 r) (#s(alt (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) (patch (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | w | @ | -inf | ((+ (* (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8)) (- (/ 2 (* r r)) 3/2)) (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8) (* (* (* w (/ r (- 1 v))) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* (* w w) (* -3/8 r)) r) -3/2) (* (* w w) (* -3/8 r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 1 (+ 3/2 (/ 2 (* r r))))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 4 (* (* r r) (* r r))) (* w (/ r (- 1 v))) (/ 2 (* r r)) (* (* w (/ r (- 1 v))) r) (- (/ 2 (* r r)) 3/2) (/ 1 (+ 3/2 (/ 2 (* r r))))) |
| 4.0ms | r | @ | 0 | ((+ (* (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8)) (- (/ 2 (* r r)) 3/2)) (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8) (* (* (* w (/ r (- 1 v))) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* (* w w) (* -3/8 r)) r) -3/2) (* (* w w) (* -3/8 r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 1 (+ 3/2 (/ 2 (* r r))))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 4 (* (* r r) (* r r))) (* w (/ r (- 1 v))) (/ 2 (* r r)) (* (* w (/ r (- 1 v))) r) (- (/ 2 (* r r)) 3/2) (/ 1 (+ 3/2 (/ 2 (* r r))))) |
| 4.0ms | r | @ | inf | ((+ (* (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8)) (- (/ 2 (* r r)) 3/2)) (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8) (* (* (* w (/ r (- 1 v))) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* (* w w) (* -3/8 r)) r) -3/2) (* (* w w) (* -3/8 r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 1 (+ 3/2 (/ 2 (* r r))))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 4 (* (* r r) (* r r))) (* w (/ r (- 1 v))) (/ 2 (* r r)) (* (* w (/ r (- 1 v))) r) (- (/ 2 (* r r)) 3/2) (/ 1 (+ 3/2 (/ 2 (* r r))))) |
| 4.0ms | r | @ | -inf | ((+ (* (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8)) (- (/ 2 (* r r)) 3/2)) (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8) (* (* (* w (/ r (- 1 v))) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* (* w w) (* -3/8 r)) r) -3/2) (* (* w w) (* -3/8 r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 1 (+ 3/2 (/ 2 (* r r))))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 4 (* (* r r) (* r r))) (* w (/ r (- 1 v))) (/ 2 (* r r)) (* (* w (/ r (- 1 v))) r) (- (/ 2 (* r r)) 3/2) (/ 1 (+ 3/2 (/ 2 (* r r))))) |
| 3.0ms | w | @ | inf | ((+ (* (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8)) (- (/ 2 (* r r)) 3/2)) (+ (* -2 v) 3) (* (* (* (* w (/ r (- 1 v))) r) w) -1/8) (* (* (* w (/ r (- 1 v))) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (+ (* (* (* w w) (* -3/8 r)) r) -3/2) (* (* w w) (* -3/8 r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -3/8) (* (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 1 (+ 3/2 (/ 2 (* r r))))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 4 (* (* r r) (* r r))) 9/4) (/ 4 (* (* r r) (* r r))) (* w (/ r (- 1 v))) (/ 2 (* r r)) (* (* w (/ r (- 1 v))) r) (- (/ 2 (* r r)) 3/2) (/ 1 (+ 3/2 (/ 2 (* r r))))) |
| 1× | egg-herbie |
| 20 440× | lower-fma.f64 |
| 20 440× | lower-fma.f32 |
| 5 596× | lower-*.f64 |
| 5 596× | lower-*.f32 |
| 3 490× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 9486 |
| 1 | 1371 | 8949 |
| 2 | 4443 | 8763 |
| 0 | 8709 | 8252 |
| 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)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (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)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
-3/2 |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 4 (pow r 4)) |
(/ (+ 4 (* -9/4 (pow r 4))) (pow r 4)) |
(/ (+ 4 (* -9/4 (pow r 4))) (pow r 4)) |
(/ (+ 4 (* -9/4 (pow r 4))) (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ 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)) |
(* 1/2 (pow r 2)) |
(* (pow r 2) (+ 1/2 (* -3/8 (pow r 2)))) |
(* (pow r 2) (+ 1/2 (* (pow r 2) (- (* 9/32 (pow r 2)) 3/8)))) |
(* (pow r 2) (+ 1/2 (* (pow r 2) (- (* (pow r 2) (+ 9/32 (* -27/128 (pow r 2)))) 3/8)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -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)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
-9/4 |
(- (* 4 (/ 1 (pow r 4))) 9/4) |
(- (* 4 (/ 1 (pow r 4))) 9/4) |
(- (* 4 (/ 1 (pow r 4))) 9/4) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
2/3 |
(- 2/3 (* 8/9 (/ 1 (pow r 2)))) |
(- (+ 2/3 (/ 32/27 (pow r 4))) (* 8/9 (/ 1 (pow r 2)))) |
(- (+ 2/3 (/ 32/27 (pow r 4))) (+ (* 8/9 (/ 1 (pow r 2))) (* 128/81 (/ 1 (pow r 6))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -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)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
-9/4 |
(- (* 4 (/ 1 (pow r 4))) 9/4) |
(- (* 4 (/ 1 (pow r 4))) 9/4) |
(- (* 4 (/ 1 (pow r 4))) 9/4) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
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(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
2/3 |
(- 2/3 (* 8/9 (/ 1 (pow r 2)))) |
(- (+ 2/3 (/ 32/27 (pow r 4))) (* 8/9 (/ 1 (pow r 2)))) |
(- (+ 2/3 (/ 32/27 (pow r 4))) (+ (* 8/9 (/ 1 (pow r 2))) (* 128/81 (/ 1 (pow r 6))))) |
(- (* 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)) (- 1 v))) |
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(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
-3/2 |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
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(* -3/8 (* r (pow w 2))) |
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(* -3/8 (* r (pow w 2))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 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))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 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))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (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)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -3/8 (* r w)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) 3/2) |
3 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(* -1/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* -1/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(+ (* -1/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* -1/8 (* (pow r 2) (pow w 2)))))))) |
(* (pow r 2) (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))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 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))))) |
(* r w) |
(+ (* r w) (* r (* v w))) |
(+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w))))) |
(+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w))))) |
(* (pow r 2) w) |
(+ (* (pow r 2) w) (* (pow r 2) (* v w))) |
(+ (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* (pow r 2) w)) |
(+ (* v (- (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* -1 (* (pow r 2) w)))) (* (pow r 2) w)) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))))) 3/2) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) v) |
(* -1 (/ (* (pow r 2) (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) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(* -1 (/ (* r w) v)) |
(/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v) |
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v) |
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v) |
(* -1 (/ (* (pow r 2) w) v)) |
(/ (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 2)))) (/ (* (pow r 2) w) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 3)))) (+ (/ (* (pow r 2) w) v) (/ (* (pow r 2) w) (pow v 2)))) v) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 1/8 (* (pow r 2) (pow w 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) v)) |
(* -1 (/ (* (pow r 2) (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)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(* -1 (/ (* r w) v)) |
(* -1 (/ (+ (* r w) (/ (* r w) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v)) |
(* -1 (/ (* (pow r 2) w) v)) |
(* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
| 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 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(*.f64 (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
-3/2 |
#s(literal -3/2 binary64) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) |
(* -3/8 (* r (pow w 2))) |
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) |
(* -3/8 (* r (pow w 2))) |
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) |
(* -3/8 (* r (pow w 2))) |
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) |
(* -3/8 (* r (pow w 2))) |
(*.f64 (*.f64 (*.f64 w w) r) #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 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
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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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 w r) r) w (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v)) v))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w w) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 w r) r) w (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v)) v))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w w) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 w r) r) w (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v)) v))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w w) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 w r) r) w (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v)) v))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(* -1 (/ (* r w) v)) |
(*.f64 (/.f64 (neg.f64 w) v) r) |
(* -1 (/ (+ (* r w) (/ (* r w) v)) v)) |
(/.f64 (*.f64 (neg.f64 r) (+.f64 (/.f64 w v) w)) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v)) |
(/.f64 (fma.f64 w r (/.f64 (*.f64 r (+.f64 (/.f64 w v) w)) v)) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v)) |
(/.f64 (fma.f64 w r (/.f64 (fma.f64 w r (/.f64 (*.f64 r (+.f64 (/.f64 w v) w)) v)) v)) (neg.f64 v)) |
(* -1 (/ (* (pow r 2) w) v)) |
(*.f64 (/.f64 (neg.f64 w) v) (*.f64 r r)) |
(* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v)) |
(/.f64 (*.f64 (*.f64 (neg.f64 r) r) (+.f64 (/.f64 w v) w)) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
(/.f64 (fma.f64 (*.f64 w r) r (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 w v) w)) v)) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
(/.f64 (fma.f64 (*.f64 w r) r (/.f64 (fma.f64 (*.f64 w r) r (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 w v) w)) v)) v)) (neg.f64 v)) |
| 4 608× | lower-fma.f32 |
| 4 600× | lower-fma.f64 |
| 4 306× | lower-/.f32 |
| 4 298× | lower-/.f64 |
| 3 478× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 421 |
| 0 | 93 | 405 |
| 1 | 377 | 358 |
| 2 | 3144 | 358 |
| 0 | 8432 | 331 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) |
(*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)) |
(*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 w r) |
(*.f64 (*.f64 w r) #s(literal -3/8 binary64)) |
(*.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 #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 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) |
(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) |
#s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 (*.f64 r w) w)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 (*.f64 r w) w))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (*.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 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 r r) r)) (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 r r) r))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 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 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) w))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 (*.f64 r w) w)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 (*.f64 r w) w))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 (*.f64 r w) w)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 (*.f64 r w) w))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (*.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))))) #s(literal -1 binary64)) |
(pow.f64 (/.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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) w))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 (*.f64 r w) w)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 (*.f64 r w) w))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 r r) r)) (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 r r) r))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 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 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 r r))) (*.f64 (neg.f64 r) r)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 2 binary64) r)) (*.f64 r r)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 2 binary64)) (*.f64 (*.f64 r r) r)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 1 binary64)) (*.f64 r (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) #s(literal -2 binary64)) (*.f64 r (*.f64 (neg.f64 r) r))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) r)) (*.f64 (*.f64 r r) r)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) r)) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) (*.f64 (*.f64 (neg.f64 r) r) r)) |
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 r r)) (*.f64 r r)) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 r r) r) (neg.f64 r))))) |
(/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 r r) r) (neg.f64 r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 r r) (/.f64 #s(literal 4 binary64) (*.f64 r r))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) r) r) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) r) r) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 r r) r) (neg.f64 r)))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) r) r)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (*.f64 (neg.f64 r) r)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 r) r) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (*.f64 r r))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) r) r) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (/.f64 #s(literal 4 binary64) (*.f64 r r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) r) r) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) r) r) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (*.f64 r r)))) |
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (*.f64 (neg.f64 r) r))) |
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 r) r) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 r r) r) r))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) r) r) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))) |
(*.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
(*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) w)) |
(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r w)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) w)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) w)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (neg.f64 (*.f64 w (neg.f64 r))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 w #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r w))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 w) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (*.f64 (neg.f64 r) w) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 #s(literal 1 binary64) w) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (*.f64 w (neg.f64 r)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 w #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (neg.f64 (*.f64 r w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r w)))) |
(/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r w))) |
(/.f64 w (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 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) (*.f64 (neg.f64 r) r))) |
(pow.f64 (/.f64 r (/.f64 #s(literal 2 binary64) r)) #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 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) r))) (neg.f64 (neg.f64 r))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) r)) (neg.f64 r)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 r (/.f64 #s(literal 2 binary64) r)))) |
(/.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 (*.f64 r r) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 r) r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r))) |
(/.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 (*.f64 r r) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 r) r)))) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 r) r)) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) w) |
(*.f64 (*.f64 r w) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(*.f64 r (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w)) |
(*.f64 w (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) |
(/.f64 (neg.f64 (*.f64 r (*.f64 r w))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r w) r)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) |
#s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) r) r)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) r) r)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 r r) r))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 r r)) #s(literal 9/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 r r) r))))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 r r)) #s(literal 9/4 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.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 -1/2 binary64)) |
(pow.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -1 binary64))) |
Compiled 33 710 to 1 923 computations (94.3% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 171 | 2 | 1 173 |
| Fresh | 0 | 16 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 173 | 23 | 1 196 |
| Status | Accuracy | Program |
|---|---|---|
| 75.7% | (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* w (/ r (- 1 v))) (*.f64 (/.f64 (neg.f64 w) v) r)) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| 45.7% | (/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) | |
| 48.5% | (-.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)) | |
| ✓ | 84.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 49.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) | |
| 82.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| 46.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| 19.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) | |
| 52.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (*.f64 r (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))) | |
| 51.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))) | |
| ✓ | 46.1% | #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))) |
| 90.7% | #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 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w r) w) #s(literal 3/2 binary64)))) | |
| 81.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) | |
| ✓ | 56.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
| 9.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 4 (* (* r r) (* r r))) 9/4) (/.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)))))) | |
| 42.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) | |
| 36.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) | |
| ✓ | 11.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
| 37.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) | |
| 48.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))) | |
| ✓ | 47.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) r #s(literal -3/2 binary64)))) |
| 48.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) r) #s(literal -3/2 binary64)))) | |
| 14.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 9/64 binary64))) (-.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r)))))) |
Compiled 1 554 to 465 computations (70.1% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w 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 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #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))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.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(approx (- (/ 4 (* (* r r) (* r r))) 9/4) (/.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)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* w (/ r (- 1 v))) (*.f64 (/.f64 (neg.f64 w) v) r)) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 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 w r) (*.f64 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 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)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal 9/64 binary64))) (-.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/8 binary64)))) |
(-.f64 (-.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))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (*.f64 r (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (*.f64 (*.f64 (*.f64 w r) w) r)) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 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 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))))) (*.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 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) |
| Outputs |
|---|
(-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
6 calls:
| 36.0ms | r |
| 15.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 14.0ms | v |
| 12.0ms | w |
| 11.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | v |
| 99.0% | 1 | w |
| 99.0% | 1 | r |
| 99.0% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 99.0% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.0% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w 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 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #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))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.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(approx (- (/ 4 (* (* r r) (* r r))) 9/4) (/.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)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* w (/ r (- 1 v))) (*.f64 (/.f64 (neg.f64 w) v) r)) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
6 calls:
| 42.0ms | (-.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))) |
| 39.0ms | w |
| 9.0ms | v |
| 9.0ms | r |
| 8.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | v |
| 97.6% | 1 | w |
| 97.6% | 1 | r |
| 97.6% | 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)) |
| 97.6% | 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))) |
| 97.6% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w 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 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #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))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.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(approx (- (/ 4 (* (* r r) (* r r))) 9/4) (/.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)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* w (/ r (- 1 v))) (*.f64 (/.f64 (neg.f64 w) v) r)) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* w (/ r (- 1 v))) (*.f64 (/.f64 (neg.f64 w) v) r)) r) w) #s(literal -1/8 binary64)) (-.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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
6 calls:
| 11.0ms | w |
| 10.0ms | (-.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)) |
| 9.0ms | v |
| 9.0ms | r |
| 8.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | v |
| 94.5% | 1 | w |
| 97.1% | 2 | r |
| 98.8% | 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)) |
| 98.8% | 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))) |
| 94.5% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w 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 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #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))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.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(approx (- (/ 4 (* (* r r) (* r r))) 9/4) (/.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)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.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 #s(literal 3/2 binary64) (/.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
3 calls:
| 35.0ms | 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)) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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)) |
| 98.8% | 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))) |
| 96.6% | 2 | v |
Compiled 66 to 45 computations (31.8% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w 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 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #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))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w r) w) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
4 calls:
| 31.0ms | (-.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))) |
| 8.0ms | v |
| 7.0ms | r |
| 6.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | v |
| 94.5% | 1 | r |
| 94.5% | 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)) |
| 94.5% | 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))) |
Compiled 70 to 48 computations (31.4% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w 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 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w r) w) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
6 calls:
| 9.0ms | r |
| 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))) |
| 7.0ms | v |
| 7.0ms | w |
| 6.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 2 | r |
| 95.2% | 2 | w |
| 95.6% | 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)) |
| 95.6% | 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))) |
| 95.2% | 2 | (*.f64 w w) |
| 97.2% | 3 | v |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w r) w) #s(literal 3/2 binary64)))) |
6 calls:
| 9.0ms | (-.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 | r |
| 6.0ms | v |
| 6.0ms | w |
| 5.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 2 | w |
| 94.3% | 2 | r |
| 94.9% | 2 | (*.f64 w w) |
| 95.1% | 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)) |
| 95.1% | 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))) |
| 90.7% | 1 | v |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) (*.f64 r r)) #s(literal 3/2 binary64))) |
4 calls:
| 9.0ms | (*.f64 w w) |
| 6.0ms | w |
| 5.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 5.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 2 | w |
| 91.4% | 2 | (*.f64 w w) |
| 96.0% | 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)) |
| 96.0% | 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 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.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) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))) |
3 calls:
| 5.0ms | r |
| 4.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 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 |
|---|---|---|
| 94.1% | 2 | r |
| 93.3% | 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)) |
| 93.3% | 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 66 to 45 computations (31.8% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
3 calls:
| 14.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 5.0ms | r |
| 4.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 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)) |
| 92.6% | 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))) |
| 90.0% | 2 | r |
Compiled 66 to 45 computations (31.8% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) (*.f64 r r)) #s(literal 3/2 binary64))) |
2 calls:
| 4.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 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 |
|---|---|---|
| 94.1% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 94.1% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) 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) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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))) |
2 calls:
| 3.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 3.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 94.1% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
5 calls:
| 9.0ms | (-.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)) |
| 3.0ms | v |
| 3.0ms | w |
| 3.0ms | (*.f64 w w) |
| 3.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 2 | (*.f64 w w) |
| 70.7% | 2 | w |
| 56.6% | 1 | v |
| 91.6% | 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)) |
| 91.6% | 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 76 to 52 computations (31.6% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -3/8)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
3 calls:
| 6.0ms | r |
| 3.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 3.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 2 | r |
| 89.7% | 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)) |
| 89.7% | 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))) |
Compiled 66 to 45 computations (31.8% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
5 calls:
| 2.0ms | w |
| 2.0ms | r |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 2.0ms | (*.f64 w w) |
| 2.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 1 | (*.f64 w w) |
| 56.6% | 1 | w |
| 56.6% | 1 | r |
| 56.6% | 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)) |
| 56.6% | 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 76 to 52 computations (31.6% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
6 calls:
| 4.0ms | w |
| 2.0ms | r |
| 2.0ms | 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)) |
| 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 |
|---|---|---|
| 54.3% | 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)) |
| 54.3% | 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))) |
| 46.1% | 1 | v |
| 46.1% | 1 | w |
| 46.1% | 1 | (*.f64 w w) |
| 56.1% | 2 | r |
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 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
6 calls:
| 3.0ms | w |
| 1.0ms | r |
| 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)) |
| 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 |
|---|---|---|
| 11.4% | 1 | w |
| 11.4% | 1 | (*.f64 w w) |
| 11.4% | 1 | v |
| 11.4% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 11.4% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 11.4% | 1 | r |
Compiled 80 to 55 computations (31.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -3.7482710322488786e+86 | -1.469870543546196e+86 |
| 2.0ms | 16× | 0 | valid |
Compiled 85 to 61 computations (28.2% saved)
ival-mult: 1.0ms (80.2% of total)ival-div: 0.0ms (0% of total)ival-sub: 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)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0002913527210957 |
| 0.0ms | -inf | -1.2036936245924088e+279 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -5.532370099375496e+106 | -4.448647291157062e+95 |
| 6.0ms | 64× | 0 | valid |
Compiled 203 to 136 computations (33% saved)
ival-mult: 2.0ms (41.7% of total)ival-div: 1.0ms (20.9% of total)ival-sub: 1.0ms (20.9% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 7.582227406246839e+30 | 2.4274991924653503e+49 |
| 0.0ms | -3.7482710322488786e+86 | -1.469870543546196e+86 |
| 22.0ms | 160× | 0 | valid |
Compiled 497 to 326 computations (34.4% saved)
ival-mult: 6.0ms (48.3% of total)ival-sub: 3.0ms (24.1% of total)ival-div: 2.0ms (16.1% of total)ival-add: 1.0ms (8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.350312561499679e+51 | -34492400052106.586 |
Compiled 35 to 28 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0002913527210957 |
| 0.0ms | -inf | -1.2036936245924088e+279 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.4364978163293309e-8 | 1.7645565272192515e-6 |
| 11.0ms | 112× | 0 | valid |
Compiled 287 to 175 computations (39% saved)
ival-mult: 4.0ms (47.4% of total)ival-sub: 2.0ms (23.7% of total)ival-div: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0002913527210957 |
Compiled 35 to 28 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0002913527210957 |
| 0.0ms | -inf | -1.2036936245924088e+279 |
Compiled 35 to 28 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0002913527210957 |
| 0.0ms | -inf | -1.2036936245924088e+279 |
Compiled 35 to 28 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9304887154450487 | 3.0 |
| 0.0ms | -inf | -1.2036936245924088e+279 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -34492400052106.586 | 1.9304887154450487 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4364978163293309e-8 | 1.7645565272192515e-6 |
Compiled 154 to 112 computations (27.3% saved)
| 1× | egg-herbie |
| 604× | distribute-lft-neg-in_binary64 |
| 596× | unsub-neg_binary64 |
| 548× | neg-mul-1_binary64 |
| 314× | neg-sub0_binary64 |
| 280× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 2044 |
| 1 | 230 | 2044 |
| 2 | 280 | 2044 |
| 3 | 331 | 2044 |
| 4 | 387 | 2044 |
| 5 | 453 | 2044 |
| 6 | 624 | 2044 |
| 7 | 898 | 2044 |
| 8 | 1085 | 2044 |
| 9 | 1314 | 2044 |
| 10 | 1603 | 2044 |
| 11 | 1884 | 2044 |
| 12 | 2117 | 2044 |
| 13 | 2265 | 2044 |
| 14 | 2371 | 2044 |
| 15 | 2406 | 2044 |
| 16 | 2411 | 2044 |
| 17 | 2411 | 2044 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(if (<=.f64 v #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* w (/ r (- 1 v))) (*.f64 (/.f64 (neg.f64 w) v) r)) r) w) #s(literal -1/8 binary64)) (-.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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w 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 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(if (<=.f64 v #s(literal -199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368 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 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w r) w) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(if (<=.f64 v #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 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 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w r) w) #s(literal 3/2 binary64)))) (if (<=.f64 v #s(literal 12999999999999999434181021781497021869196547457024 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -4999999999999999966104743371808139882308542209720320 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (*.f64 (*.f64 w 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 -inf.0 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(approx (+ (* (* (* 1/4 (* r r)) w) w) 3/2) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 1/4 binary64)) w)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 8264141345021879/4722366482869645213696 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #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) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.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 -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(if (<=.f64 r #s(literal 8264141345021879/4722366482869645213696 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
| Outputs |
|---|
(-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 w r)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 w r))) #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) r) w) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(if (<=.f64 v #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* w (/ r (- 1 v))) (*.f64 (/.f64 (neg.f64 w) v) r)) r) w) #s(literal -1/8 binary64)) (-.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 r) (*.f64 (*.f64 w r) #s(literal -3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(if (<=.f64 v #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* w (/ r (- 1 v))) (*.f64 (/.f64 (neg.f64 w) v) r)) r) w) #s(literal -1/8 binary64)) (-.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 r) (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
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(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 (*.f64 w r) w) (*.f64 #s(literal -3/8 binary64) 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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* 1/4 (* r r)) w) w) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.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 -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(if (<=.f64 r #s(literal 8264141345021879/4722366482869645213696 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
| 20 468× | lower-fma.f64 |
| 20 468× | lower-fma.f32 |
| 20 440× | lower-fma.f64 |
| 20 440× | lower-fma.f32 |
| 16 966× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2585 | 3578 |
| 0 | 8208 | 3390 |
| 0 | 59 | 426 |
| 0 | 93 | 371 |
| 1 | 405 | 366 |
| 2 | 3259 | 366 |
| 0 | 8595 | 355 |
| 0 | 342 | 13270 |
| 1 | 1146 | 12551 |
| 2 | 3895 | 11722 |
| 0 | 8156 | 11009 |
| 0 | 58 | 388 |
| 0 | 86 | 384 |
| 1 | 385 | 355 |
| 2 | 3611 | 355 |
| 0 | 8551 | 328 |
| 0 | 398 | 10507 |
| 1 | 1306 | 9891 |
| 2 | 4357 | 9494 |
| 0 | 8673 | 8837 |
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 0 | 435 | 9486 |
| 1 | 1371 | 8949 |
| 2 | 4443 | 8763 |
| 0 | 8709 | 8252 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 942 to 795 computations (59.1% saved)
(abs w)
(abs r)
Compiled 2 094 to 442 computations (78.9% saved)
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