
Time bar (total: 14.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 31 to 24 computations (22.6% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 491.0ms (52.4% of total)ival-sub: 216.0ms (23.1% of total)ival-div: 167.0ms (17.8% of total)ival-add: 37.0ms (4% of total)exact: 17.0ms (1.8% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 16 612× | lower-fma.f64 |
| 16 612× | lower-fma.f32 |
| 6 932× | lower-*.f32 |
| 6 918× | lower-*.f64 |
| 1 710× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 268 |
| 1 | 270 | 264 |
| 2 | 1038 | 246 |
| 3 | 3557 | 243 |
| 4 | 7112 | 243 |
| 0 | 22 | 29 |
| 0 | 36 | 29 |
| 1 | 72 | 29 |
| 2 | 184 | 25 |
| 3 | 713 | 25 |
| 4 | 3939 | 25 |
| 5 | 7914 | 25 |
| 0 | 8146 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(abs r)
(abs w)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 38 | 0 | - | 2 | (-6.8872312711311e-96 1.403707358560897e-161 1238411.2670084473) | (*.f64 (*.f64 w w) r) |
| 14 | 0 | - | 2 | (1.049483363350881e-16 2.2127445067945405e-168 5025288378251995000.0) | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 10 | 0 | - | 0 | - | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
| 7 | 0 | - | 1 | (-2.6735380197096255e+104 1.897318570900536e+24 4.169447710171477e-182) | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| 3 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 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 | 22 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) | o/n | 10 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | overflow | 68 | |
| ↳ | (*.f64 w w) | overflow | 69 | |
| ↳ | (*.f64 (*.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 | 97 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 87 | |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 7 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 7 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 41 | 1 |
| - | 0 | 214 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 41 | 0 | 1 |
| - | 0 | 0 | 214 |
| number | freq |
|---|---|
| 0 | 215 |
| 1 | 36 |
| 2 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 182.0ms | 512× | 0 | valid |
Compiled 360 to 92 computations (74.4% saved)
ival-mult: 109.0ms (84.7% of total)ival-sub: 9.0ms (7% of total)ival-div: 6.0ms (4.7% of total)ival-add: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.2% | (-.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)) |
Compiled 32 to 22 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 16 612× | lower-fma.f64 |
| 16 612× | lower-fma.f32 |
| 6 932× | lower-*.f32 |
| 6 918× | lower-*.f64 |
| 1 710× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 146 |
| 0 | 36 | 146 |
| 1 | 72 | 146 |
| 2 | 184 | 134 |
| 3 | 713 | 134 |
| 4 | 3939 | 134 |
| 5 | 7914 | 134 |
| 0 | 8146 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w))) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 w w) r) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.6% | (*.f64 (*.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 | 96.3% | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 | 95.3% | (*.f64 (*.f64 (*.f64 w w) r) r) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 w w) r) |
| 32.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-mult: 11.0ms (54.1% of total)ival-sub: 4.0ms (19.7% of total)ival-div: 3.0ms (14.7% of total)ival-add: 1.0ms (4.9% of total)exact: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))> |
#<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))> |
#<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)))> |
#<alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))> |
#<alt (*.f64 (*.f64 w w) r)> |
#<alt (*.f64 (*.f64 (*.f64 w w) r) r)> |
#<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))> |
#<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))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 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)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<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)))))> |
#<alt (- (+ (* -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))))))> |
#<alt (- (+ (* -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)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<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)))))> |
#<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)))))> |
#<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)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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)))))> |
#<alt (- (+ 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))))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt 3> |
#<alt (+ 3 (* -2 v))> |
#<alt (+ 3 (* -2 v))> |
#<alt (+ 3 (* -2 v))> |
#<alt (* -2 v)> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* -2 v)> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 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))))> |
#<alt (+ (* 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))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | (* (* w w) r) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | v | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) |
| 1× | batch-egg-rewrite |
| 6 012× | lower-*.f32 |
| 5 998× | lower-*.f64 |
| 5 632× | lower-fma.f64 |
| 5 632× | lower-fma.f32 |
| 4 766× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(*.f64 (*.f64 w w) r) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))) |
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))))) |
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)))))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64)) |
(+.f64 #s(literal -9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))) (/.f64 #s(literal 81/4 binary64) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 #s(literal 81/4 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64))))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 #s(literal 81/4 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64))) (/.f64 #s(literal 81/4 binary64) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
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(*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w)))) |
(*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 w (*.f64 r w)) (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) r) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r)) |
(*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
| 1× | egg-herbie |
| 14 382× | lower-fma.f64 |
| 14 382× | lower-fma.f32 |
| 5 144× | lower-+.f64 |
| 5 144× | lower-+.f32 |
| 4 118× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2580 | 3578 |
| 0 | 8212 | 3390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
3 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(-.f64 (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(fma.f64 v (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
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(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
Compiled 29 406 to 2 010 computations (93.2% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 597 | 18 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 598 | 18 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 96.7% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) | |
| 61.8% | (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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) | |
| 49.9% | (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) | |
| 55.3% | (fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) | |
| ▶ | 42.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 59.3% | (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| ▶ | 78.9% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
| 45.1% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| ▶ | 96.1% | (-.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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 90.9% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| ▶ | 97.1% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| ▶ | 78.2% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
| 96.7% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| 70.5% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) | |
| 78.2% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) | |
| 87.1% | (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| 52.5% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| 42.9% | (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
Compiled 920 to 622 computations (32.4% saved)
| 1× | egg-herbie |
Found 18 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.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))) |
| ✓ | 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 | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 w w) (*.f64 #s(literal 3/8 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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
| 19 314× | lower-fma.f32 |
| 19 308× | lower-fma.f64 |
| 6 168× | lower-*.f32 |
| 6 142× | lower-*.f64 |
| 3 124× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 428 |
| 0 | 76 | 422 |
| 1 | 184 | 412 |
| 2 | 576 | 406 |
| 3 | 2370 | 406 |
| 4 | 5241 | 406 |
| 0 | 8403 | 390 |
| 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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(*.f64 w w) |
w |
(*.f64 #s(literal 3/8 binary64) (*.f64 r r)) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
v |
#s(literal 1/8 binary64) |
#s(literal 3/8 binary64) |
#s(literal 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) |
(*.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 r w) (*.f64 r w)) |
(*.f64 r 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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 w (*.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(*.f64 r (*.f64 w w)) |
w |
(*.f64 r w) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(*.f64 w w) |
w |
(*.f64 #s(literal 3/8 binary64) (*.f64 r r)) |
(*.f64 (*.f64 r r) #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r w)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) |
(+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64)))) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64)) |
v |
#s(literal 1/8 binary64) |
#s(literal 3/8 binary64) |
#s(literal 9/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 w (*.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (-.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 r w) (*.f64 r w))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 r w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 r w) (*.f64 r w)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 97.6% | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) |
| ✓ | accuracy | 96.3% | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 97.6% | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))) |
| ✓ | accuracy | 95.3% | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | accuracy | 86.7% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 81.6% | (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | accuracy | 99.8% | (*.f64 w (*.f64 r w)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 95.3% | (*.f64 r (*.f64 w (*.f64 r w))) |
| 69.0ms | 256× | 0 | valid |
Compiled 430 to 47 computations (89.1% saved)
ival-mult: 24.0ms (55.9% of total)ival-sub: 9.0ms (20.9% of total)ival-div: 5.0ms (11.6% of total)ival-add: 4.0ms (9.3% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))> |
#<alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))> |
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))))> |
#<alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))> |
#<alt (*.f64 r r)> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))> |
#<alt (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))> |
#<alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64))> |
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))))> |
#<alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))> |
#<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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))> |
#<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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))> |
#<alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))> |
#<alt (*.f64 r (*.f64 w (*.f64 r w)))> |
#<alt (*.f64 w (*.f64 r w))> |
#<alt (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))> |
#<alt (*.f64 #s(literal 3/8 binary64) (*.f64 r r))> |
#<alt (*.f64 r (*.f64 w w))> |
#<alt (*.f64 r (*.f64 r (*.f64 w w)))> |
#<alt (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))> |
#<alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))> |
#<alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w)))> |
#<alt (*.f64 (*.f64 r w) (*.f64 r w))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 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)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<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)))))> |
#<alt (- (+ (* -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))))))> |
#<alt (- (+ (* -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)))))))> |
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#<alt (/ 2 (pow r 2))> |
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#<alt (- (+ 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))))> |
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#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (/ 2 (pow r 2))> |
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#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt 3> |
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#<alt 3> |
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#<alt (pow r 2)> |
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#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
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#<alt 3/2> |
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#<alt 3/2> |
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#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* (pow w 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow r 2))))))> |
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#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* (pow w 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
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#<alt (- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
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#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* (pow r 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow w 2))))))> |
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#<alt (- (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (- (/ 2 (* (pow r 2) v)) (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v))))))> |
#<alt (* v (- (/ 2 (* (pow r 2) v)) (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v))))))> |
#<alt (* v (- (/ 2 (* (pow r 2) v)) (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v))))))> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (- (* -1 (/ (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) v)) (* -1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (- (* -1 (/ (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) v)) (* -1/8 (* (pow r 2) (pow w 2))))))> |
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#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
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#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
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#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (- (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v))) (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))))> |
#<alt (* v (- (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v))) (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))))> |
#<alt (* v (- (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v))) (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))))> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (- (* -1 (/ (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (- (* -1 (/ (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (- (* -1 (/ (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2))))))> |
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 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)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<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)))))> |
#<alt (- (+ (* -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))))))> |
#<alt (- (+ (* -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)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<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)))))> |
#<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)))))> |
#<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)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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)))))> |
#<alt (- (+ 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))))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (- (+ 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))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt 3> |
#<alt (+ 3 (* -2 v))> |
#<alt (+ 3 (* -2 v))> |
#<alt (+ 3 (* -2 v))> |
#<alt (* -2 v)> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* -2 v)> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 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))))> |
#<alt (+ (* 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))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* 1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 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))))> |
#<alt (+ (* 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))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | -inf | (* r r) |
| 1.0ms | r | @ | 0 | (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v))) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) 9/2) |
| 1.0ms | v | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (* (* r (* r (* w w))) (+ (* v 1/8) 3/8))) 9/2) |
| 1.0ms | w | @ | inf | (- (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) 9/2) |
| 1× | batch-egg-rewrite |
| 4 680× | lower-/.f32 |
| 4 674× | lower-/.f64 |
| 4 470× | lower-*.f32 |
| 4 444× | lower-*.f64 |
| 4 278× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 311 |
| 0 | 76 | 279 |
| 1 | 362 | 268 |
| 2 | 3010 | 268 |
| 0 | 8775 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) |
(*.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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 w (*.f64 r w)) |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r r)) |
(*.f64 r (*.f64 w w)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) |
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64))) (-.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))) (/.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/8 binary64) v) #s(literal 3/8 binary64)) |
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) v) #s(literal -2 binary64) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (fma.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64)) (-.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #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 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #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 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))) |
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(*.f64 (/.f64 (*.f64 (*.f64 r (neg.f64 r)) (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) r) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) r)) #s(literal -1 binary64)) (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))))) |
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (*.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))))) |
(fma.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 v #s(literal -1/4 binary64)) (*.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))))) |
(fma.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) |
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 r w) (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) r)) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
(*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) r) (*.f64 r w)) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r r)) (*.f64 w w)) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) r) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w (*.f64 r r))) w) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) r) r) w) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) r) w) r) |
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 r w))) #s(literal 2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 w (*.f64 w (*.f64 r r))) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 (*.f64 r (*.f64 w w)) r) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(*.f64 (*.f64 w (*.f64 r r)) w) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(*.f64 (exp.f64 (log.f64 (*.f64 r w))) (exp.f64 (log.f64 (*.f64 r w)))) |
| 1× | egg-herbie |
| 19 046× | lower-fma.f64 |
| 19 046× | lower-fma.f32 |
| 5 570× | lower-+.f64 |
| 5 570× | lower-+.f32 |
| 5 426× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 10973 |
| 1 | 1129 | 10305 |
| 2 | 3751 | 9615 |
| 0 | 8637 | 9119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 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)))) |
(* 3/8 (* (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 (* (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))))) |
3/2 |
(+ 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)))) |
(* 3/8 (* (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) (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))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) 3/2))) (pow r 2)) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* -1 (* (pow r 2) (+ (* (pow w 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* (pow w 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* (pow w 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* -1 (* (pow r 2) (+ (* (pow w 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* (pow w 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* (pow w 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* (pow r 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* (pow r 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* (pow r 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* (pow r 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* (pow r 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* (pow r 2) (+ 3/8 (* 1/8 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* v (- (/ 2 (* (pow r 2) v)) (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))))) |
(* v (- (/ 2 (* (pow r 2) v)) (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))))) |
(* v (- (/ 2 (* (pow r 2) v)) (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (- (* -1 (/ (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (- (* -1 (/ (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (- (* -1 (/ (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))))) (pow r 2)) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) (* 2 (/ 1 (pow r 2))))) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* (pow r 2) (+ 3/8 (* 1/8 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* (pow r 2) (+ 3/8 (* 1/8 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* (pow r 2) (+ 3/8 (* 1/8 v))))) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* (pow r 2) (+ 3/8 (* 1/8 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* (pow r 2) (+ 3/8 (* 1/8 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* (pow r 2) (+ 3/8 (* 1/8 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* v (- (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v))) (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))) |
(* v (- (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v))) (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))) |
(* v (- (+ (* 3 (/ 1 v)) (/ 2 (* (pow r 2) v))) (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (- (* -1 (/ (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (- (* -1 (/ (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (- (* -1 (/ (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
3 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 1/8 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* 1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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3/2 |
#s(literal 3/2 binary64) |
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(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
Compiled 72 807 to 3 665 computations (95% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 002 | 20 | 2 022 |
| Fresh | 11 | 2 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 017 | 23 | 2 040 |
| Status | Accuracy | Program |
|---|---|---|
| 49.9% | (fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) | |
| 43.9% | (fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) | |
| 48.6% | (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) | |
| 42.6% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| 41.0% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 r (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) | |
| 40.1% | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) | |
| 28.5% | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/4 binary64)) (*.f64 w (*.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64)))) (*.f64 (*.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/4 binary64)) (*.f64 w (*.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))) | |
| ✓ | 42.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 83.4% | (-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| ▶ | 82.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
| 95.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) | |
| 73.6% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))) | |
| 45.1% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| ▶ | 52.5% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
| 52.1% | (-.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))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) | |
| ▶ | 99.8% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
| 58.2% | (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| 70.5% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) | |
| 75.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) | |
| ▶ | 40.6% | (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
| 41.7% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) | |
| 58.1% | (*.f64 v (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))))) | |
| ▶ | 72.4% | (*.f64 v (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)))) |
Compiled 1 196 to 682 computations (43% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 r r)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v))) |
| ✓ | cost-diff | 1024 | (*.f64 v (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) 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 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 w w)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) |
| ✓ | cost-diff | 0 | (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
| ✓ | 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 | (/.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 | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
| 13 836× | lower-fma.f32 |
| 13 828× | lower-fma.f64 |
| 4 316× | lower-*.f32 |
| 4 288× | lower-*.f64 |
| 2 786× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 346 |
| 0 | 82 | 346 |
| 1 | 172 | 346 |
| 2 | 486 | 344 |
| 3 | 1697 | 341 |
| 4 | 3652 | 341 |
| 5 | 6849 | 341 |
| 0 | 8267 | 337 |
| 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w)) |
(*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
v |
#s(literal -1/4 binary64) |
#s(literal 3/8 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(*.f64 r w) |
w |
#s(literal 9/2 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 3/2 binary64) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
v |
#s(literal 1/8 binary64) |
#s(literal 3/8 binary64) |
(*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) |
(*.f64 r (*.f64 w w)) |
r |
(*.f64 w w) |
w |
(neg.f64 r) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) 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 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64)) |
(*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
w |
(*.f64 w #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
(*.f64 v (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)))) |
v |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v))) |
(/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) |
#s(literal 2 binary64) |
(*.f64 v (*.f64 r r)) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) |
#s(literal -1/8 binary64) |
(/.f64 #s(literal -3/8 binary64) v) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -3/2 binary64) v) |
#s(literal -3/2 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)))) (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)) (*.f64 w (*.f64 r (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v))))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w)) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w (*.f64 r (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
v |
#s(literal -1/4 binary64) |
#s(literal 3/8 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(*.f64 r w) |
w |
#s(literal 9/2 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 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 3/2 binary64) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) |
(fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
v |
#s(literal 1/8 binary64) |
#s(literal 3/8 binary64) |
(*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) |
(neg.f64 (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 r (*.f64 w w)) |
r |
(*.f64 w w) |
w |
(neg.f64 r) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 w (*.f64 r (*.f64 w #s(literal -3/8 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64)) |
(fma.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))) #s(literal 3/2 binary64)) |
(*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) |
(*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(*.f64 #s(literal 3/8 binary64) (*.f64 w w)) |
w |
(*.f64 w #s(literal 3/8 binary64)) |
(*.f64 #s(literal 3/8 binary64) w) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
(*.f64 v (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) #s(literal -3/2 binary64))) |
v |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r v))) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) (/.f64 #s(literal -3/2 binary64) v))) |
(/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r v))) |
#s(literal 2 binary64) |
(*.f64 v (*.f64 r r)) |
(*.f64 r (*.f64 r v)) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) (/.f64 #s(literal -3/2 binary64) v)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) |
#s(literal -1/8 binary64) |
(/.f64 #s(literal -3/8 binary64) v) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -3/2 binary64) v) |
#s(literal -3/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.3% | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | accuracy | 93.4% | (*.f64 v (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)))) |
| ✓ | accuracy | 90.0% | (*.f64 v (*.f64 r r)) |
| ✓ | accuracy | 86.7% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 99.8% | (*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 97.3% | (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64)) |
| ✓ | accuracy | 86.8% | (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) |
| ✓ | accuracy | 100.0% | (neg.f64 r) |
| ✓ | accuracy | 97.6% | (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
| ✓ | accuracy | 95.3% | (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) |
| ✓ | accuracy | 86.7% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 81.0ms | 256× | 0 | valid |
Compiled 348 to 52 computations (85.1% saved)
ival-mult: 25.0ms (44.2% of total)ival-div: 15.0ms (26.5% of total)ival-add: 7.0ms (12.4% of total)ival-sub: 5.0ms (8.8% of total)ival-neg: 2.0ms (3.5% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64))> |
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w)))> |
#<alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))> |
#<alt (*.f64 r r)> |
#<alt (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)))> |
#<alt (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))> |
#<alt (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))> |
#<alt (*.f64 r (*.f64 w w))> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64)))> |
#<alt (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))> |
#<alt (*.f64 v (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v))))> |
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r)))> |
#<alt (*.f64 v (*.f64 r r))> |
#<alt (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))> |
#<alt (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))> |
#<alt (neg.f64 r)> |
#<alt (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r)> |
#<alt (*.f64 w (*.f64 w #s(literal 3/8 binary64)))> |
#<alt (*.f64 r (*.f64 r (*.f64 w w)))> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt 3> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt 3> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt -3/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt -3/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2)))))> |
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2)))))> |
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2)))))> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))))> |
#<alt (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))))> |
#<alt (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))))> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))))> |
#<alt (* -1 (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))))> |
#<alt (* -1 (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* 1/8 v)))))> |
#<alt 3/8> |
#<alt (+ 3/8 (* 1/8 v))> |
#<alt (+ 3/8 (* 1/8 v))> |
#<alt (+ 3/8 (* 1/8 v))> |
#<alt (* 1/8 v)> |
#<alt (* v (+ 1/8 (* 3/8 (/ 1 v))))> |
#<alt (* v (+ 1/8 (* 3/8 (/ 1 v))))> |
#<alt (* v (+ 1/8 (* 3/8 (/ 1 v))))> |
#<alt (* 1/8 v)> |
#<alt (* v (+ 1/8 (* 3/8 (/ 1 v))))> |
#<alt (* v (+ 1/8 (* 3/8 (/ 1 v))))> |
#<alt (* v (+ 1/8 (* 3/8 (/ 1 v))))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (pow w 2)))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))> |
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))> |
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (- (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))) (/ 2 (* (pow r 2) v)))))> |
#<alt (* -1 (* v (- (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))) (/ 2 (* (pow r 2) v)))))> |
#<alt (* -1 (* v (- (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))) (/ 2 (* (pow r 2) v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) 3/2))) (pow r 2))> |
#<alt (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))))> |
#<alt (* (pow r 2) (- (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))))> |
#<alt (* (pow r 2) (- (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))> |
#<alt (+ (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))))> |
#<alt (+ (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))))> |
#<alt (+ (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))))> |
#<alt (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))))> |
#<alt (* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2))))> |
#<alt (* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2))))> |
#<alt (* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2))))> |
#<alt (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))))> |
#<alt (* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2))))> |
#<alt (* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2))))> |
#<alt (* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2))))> |
#<alt (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)> |
#<alt (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) v)> |
#<alt (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) v)> |
#<alt (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) v)> |
#<alt (* -1/8 (* (pow r 2) (pow w 2)))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))> |
#<alt (* -1/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1 (/ (- (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (* 2 (/ 1 (pow r 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (- (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (* 2 (/ 1 (pow r 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (- (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (* 2 (/ 1 (pow r 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2))))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) (pow r 2))> |
#<alt (/ (+ (* (pow r 2) (- (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 3/2 (/ 1 v)))) (* 2 (/ 1 v))) (pow r 2))> |
#<alt (/ (+ (* (pow r 2) (- (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 3/2 (/ 1 v)))) (* 2 (/ 1 v))) (pow r 2))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))> |
#<alt (* (pow r 2) (- (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (* 3/2 (/ 1 (* (pow r 2) v)))))> |
#<alt (* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 4) v))) (/ 3/2 (* (pow r 2) v))))> |
#<alt (* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 4) v))) (/ 3/2 (* (pow r 2) v))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))> |
#<alt (* (pow r 2) (- (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (* 3/2 (/ 1 (* (pow r 2) v)))))> |
#<alt (* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 4) v))) (/ 3/2 (* (pow r 2) v))))> |
#<alt (* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 4) v))) (/ 3/2 (* (pow r 2) v))))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))> |
#<alt (- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 2 (/ 1 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))> |
#<alt (- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 2 (/ 1 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))> |
#<alt (- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 2 (/ 1 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))> |
#<alt (* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2)))))> |
#<alt (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))> |
#<alt (* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2)))))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (- (+ (* -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)) v)))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (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)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* 3/8 (* r w))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) (* -3/8 (* r w)))))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))) (* -1 (- (* -1/4 (* r w)) (* -3/8 (* r w))))))) (* -3/8 (* r w)))))> |
#<alt (* 1/4 (* r w))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))) (* -1/4 (/ (* r w) v)))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 2))) (* 1/4 (* r w)))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 2)))))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 3))) (* 1/4 (* r w)))) (+ (* -1 (/ (- (* -3/8 (* r w)) (* -1/4 (* r w))) (pow v 2))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 3))))))> |
#<alt (* 1/4 (* r w))> |
#<alt (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* r w)) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* 3/8 (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | r | @ | -inf | (* v (+ (/ 2 (* v (* r r))) (+ (* (* r (* r (* w w))) (+ -1/8 (/ -3/8 v))) (/ -3/2 v)))) |
| 4.0ms | w | @ | 0 | (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) |
| 4.0ms | v | @ | 0 | (* v (+ (/ 2 (* v (* r r))) (+ (* (* r (* r (* w w))) (+ -1/8 (/ -3/8 v))) (/ -3/2 v)))) |
| 2.0ms | r | @ | 0 | (* v (+ (/ 2 (* v (* r r))) (+ (* (* r (* r (* w w))) (+ -1/8 (/ -3/8 v))) (/ -3/2 v)))) |
| 1.0ms | w | @ | 0 | (* v (+ (/ 2 (* v (* r r))) (+ (* (* r (* r (* w w))) (+ -1/8 (/ -3/8 v))) (/ -3/2 v)))) |
| 1× | batch-egg-rewrite |
| 4 354× | lower-/.f32 |
| 4 344× | lower-/.f64 |
| 3 636× | lower-*.f32 |
| 3 608× | lower-*.f64 |
| 2 894× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 239 |
| 0 | 82 | 239 |
| 1 | 352 | 223 |
| 2 | 3128 | 223 |
| 0 | 8143 | 216 |
| 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(*.f64 r r) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) |
(*.f64 r (*.f64 w w)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64)) |
(*.f64 v (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v))) |
(/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) |
(*.f64 v (*.f64 r r)) |
(*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w)) |
(*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(neg.f64 r) |
(*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(*.f64 r (*.f64 r (*.f64 w w))) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 r w) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 9/2 binary64)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 r w) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
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(pow.f64 (/.f64 (fma.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (-.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r v)))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r v)) (*.f64 r (*.f64 r v))))) (fma.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (*.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r v)) (*.f64 (*.f64 r (*.f64 r v)) (*.f64 r (*.f64 r v))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) v) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r v)) (*.f64 r (*.f64 r v)))) (*.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (*.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r v)) (*.f64 (*.f64 r (*.f64 r v)) (*.f64 r (*.f64 r v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (-.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r v)))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r v)) (*.f64 r (*.f64 r v))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r v)) (*.f64 r (*.f64 r v)))) (*.f64 (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)) (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) v) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 r (*.f64 r v)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r v))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 r r) (neg.f64 v)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) v) |
(/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) v))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 v (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 r r) (neg.f64 v))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 r r) (neg.f64 v))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 v (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) v)))) |
(/.f64 (/.f64 #s(literal 2 binary64) v) (*.f64 r r)) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) v)) (*.f64 r (neg.f64 r))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 v)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r v)) r) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) r) r) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) v))) (neg.f64 (*.f64 r (neg.f64 r)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 r v))) (neg.f64 r)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) r)) (neg.f64 r)) |
(pow.f64 (*.f64 v (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 v (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) v)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r v)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r v)))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) (neg.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 #s(literal 2 binary64) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r v))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r v)) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 r (*.f64 r v)) |
(*.f64 (*.f64 r r) v) |
(*.f64 v (*.f64 r r)) |
(*.f64 (*.f64 r v) r) |
(/.f64 (*.f64 (*.f64 r w) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r w) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (*.f64 r w))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(*.f64 r (*.f64 w (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 w (*.f64 r (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r w) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) w) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) w) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)))) |
(/.f64 (*.f64 r w) (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w))))) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (*.f64 r w)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) |
(/.f64 (*.f64 (*.f64 r w) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(/.f64 (*.f64 (*.f64 r w) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 r w)) (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 r w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r w) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r w) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 r w))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 r w))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w))) #s(literal -1 binary64)) |
(*.f64 r (*.f64 w (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(*.f64 w (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r w) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) w) |
(*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) w) r) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 r)) |
(-.f64 #s(literal 0 binary64) r) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) r)) (/.f64 (*.f64 r r) (+.f64 #s(literal 0 binary64) r))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r)))) (/.f64 (*.f64 r (*.f64 r r)) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) |
(neg.f64 r) |
(/.f64 (*.f64 r (neg.f64 r)) (+.f64 #s(literal 0 binary64) r)) |
(/.f64 (neg.f64 (*.f64 r (neg.f64 r))) (neg.f64 (+.f64 #s(literal 0 binary64) r))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) |
(*.f64 r #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) r) |
(*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))) |
(*.f64 w (*.f64 r (*.f64 #s(literal 3/8 binary64) w))) |
(*.f64 (*.f64 r w) (*.f64 #s(literal 3/8 binary64) w)) |
(*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) r)) |
(*.f64 (*.f64 r (*.f64 w w)) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 #s(literal 3/8 binary64) w) (*.f64 r w)) |
(*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w w)) r) |
(*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) w)) w) |
(*.f64 #s(literal 3/8 binary64) (*.f64 w w)) |
(*.f64 w (*.f64 #s(literal 3/8 binary64) w)) |
(*.f64 (*.f64 w w) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 #s(literal 3/8 binary64) w) w) |
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 w (*.f64 r (*.f64 r w))) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(*.f64 (*.f64 r (*.f64 w w)) r) |
(*.f64 (*.f64 (*.f64 r w) r) w) |
(*.f64 (*.f64 r (*.f64 r w)) w) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
| 1× | egg-herbie |
| 28 704× | lower-fma.f64 |
| 28 704× | lower-fma.f32 |
| 5 962× | lower-*.f64 |
| 5 962× | lower-*.f32 |
| 3 990× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 379 | 8208 |
| 1 | 1277 | 7929 |
| 2 | 4597 | 7307 |
| 0 | 8752 | 6960 |
| 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 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
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(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2)) |
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(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
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(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
3 |
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3 |
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
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(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
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(* -1 (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))) |
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3/8 |
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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3/2 |
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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))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (- (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))) (/ 2 (* (pow r 2) v))))) |
(* -1 (* v (- (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))) (/ 2 (* (pow r 2) v))))) |
(* -1 (* v (- (+ (* 1/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/2 (/ 1 v)))) (/ 2 (* (pow r 2) v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) 3/2))) (pow r 2)) |
(* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) |
(* (pow r 2) (- (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) |
(* (pow r 2) (- (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1 (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(+ (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))) |
(+ (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))) |
(+ (* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))) |
(* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) |
(* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2)))) |
(* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2)))) |
(* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2)))) |
(* -1 (* (pow r 2) (* v (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))))) |
(* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2)))) |
(* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2)))) |
(* (pow w 2) (+ (* -1 (* (pow r 2) (* v (+ 1/8 (* 3/8 (/ 1 v)))))) (/ (* v (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) (pow w 2)))) |
(/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v) |
(/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) v) |
(/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) v) |
(/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) v) |
(* -1/8 (* (pow r 2) (pow w 2))) |
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))) |
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))) |
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))) |
(* -1/8 (* (pow r 2) (pow w 2))) |
(+ (* -1 (/ (- (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (* 2 (/ 1 (pow r 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (- (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (* 2 (/ 1 (pow r 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (- (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (* 2 (/ 1 (pow r 2)))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) |
(/ 2 (* (pow r 2) v)) |
(/ (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 3/2 (/ 1 v)))) (* 2 (/ 1 v))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 3/2 (/ 1 v)))) (* 2 (/ 1 v))) (pow r 2)) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) |
(* (pow r 2) (- (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (* 3/2 (/ 1 (* (pow r 2) v))))) |
(* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 4) v))) (/ 3/2 (* (pow r 2) v)))) |
(* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 4) v))) (/ 3/2 (* (pow r 2) v)))) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) |
(* (pow r 2) (- (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (* 3/2 (/ 1 (* (pow r 2) v))))) |
(* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 4) v))) (/ 3/2 (* (pow r 2) v)))) |
(* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 4) v))) (/ 3/2 (* (pow r 2) v)))) |
(- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))) |
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 2 (/ 1 (* (pow r 2) v)))) (* 3/2 (/ 1 v))) |
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 2 (/ 1 (* (pow r 2) v)))) (* 3/2 (/ 1 v))) |
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) (* 2 (/ 1 (* (pow r 2) v)))) (* 3/2 (/ 1 v))) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) |
(* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2))))) |
(* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2))))) |
(* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2))))) |
(* -1 (* (pow r 2) (* (pow w 2) (+ 1/8 (* 3/8 (/ 1 v)))))) |
(* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2))))) |
(* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2))))) |
(* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 1/8 (* 3/8 (/ 1 v))))) (/ 2 (* (pow r 2) (* v (pow w 2))))) (/ 3/2 (* v (pow w 2))))) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(- (+ (* -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)) v))) |
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (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)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) |
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* 3/8 (* r w)) |
(+ (* 3/8 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) |
(+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) (* -3/8 (* r w))))) |
(+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))) (* -1 (- (* -1/4 (* r w)) (* -3/8 (* r w))))))) (* -3/8 (* r w))))) |
(* 1/4 (* r w)) |
(- (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))) (* -1/4 (/ (* r w) v))) |
(- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 2))) (* 1/4 (* r w)))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 2))))) |
(- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 3))) (* 1/4 (* r w)))) (+ (* -1 (/ (- (* -3/8 (* r w)) (* -1/4 (* r w))) (pow v 2))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 3)))))) |
(* 1/4 (* r w)) |
(+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* r w)) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* 3/8 (* r (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))) |
(* 3/8 (* r (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))) |
(* 3/8 (* r (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))) |
(* 3/8 (* r (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))) |
(* 3/8 (* r (pow w 2))) |
(* 3/8 (* r (pow w 2))) |
(* 3/8 (* r (pow w 2))) |
(* 3/8 (* r (pow w 2))) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* 3/8 (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
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(* 1/4 (* r w)) |
(*.f64 r (*.f64 w #s(literal 1/4 binary64))) |
(+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r w) v) (*.f64 r (*.f64 w #s(literal 1/4 binary64)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* r w)) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(fma.f64 r (*.f64 w #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r w) v) (*.f64 #s(literal -1/8 binary64) (*.f64 r w))) v)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(fma.f64 r (*.f64 w #s(literal 1/4 binary64)) (/.f64 (fma.f64 r (*.f64 w #s(literal -1/8 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r w) v) (*.f64 #s(literal -1/8 binary64) (*.f64 r w))) v)) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (* r (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (pow w 2)) |
(*.f64 w (*.f64 w #s(literal 3/8 binary64))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
Compiled 43 407 to 2 421 computations (94.4% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 267 | 15 | 1 282 |
| Fresh | 7 | 10 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 277 | 28 | 1 305 |
| Status | Accuracy | Program |
|---|---|---|
| 50.6% | (fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) | |
| ▶ | 49.1% | (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
| 43.9% | (fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) | |
| 48.6% | (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) | |
| 42.6% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| 40.1% | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) | |
| 28.5% | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/4 binary64)) (*.f64 w (*.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64)))) (*.f64 (*.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/4 binary64)) (*.f64 w (*.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))) | |
| ✓ | 42.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 83.4% | (-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| 79.3% | (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| ✓ | 82.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
| ▶ | 95.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
| 71.5% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))))) | |
| 45.1% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| ✓ | 52.5% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
| 91.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w #s(literal 1/4 binary64))) (*.f64 r w))) #s(literal 9/2 binary64)) | |
| 75.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) | |
| 41.1% | (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r w) w) (neg.f64 r))) | |
| 40.1% | (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (neg.f64 r) (*.f64 r w)) w)) | |
| 41.1% | (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (neg.f64 r)))) | |
| 75.3% | (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r v))) (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v))) v) | |
| 37.1% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)))) | |
| 41.7% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) | |
| ▶ | 52.7% | (*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))) |
| 77.1% | (*.f64 v (/.f64 (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) v)) | |
| ▶ | 39.8% | (*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
| 43.8% | (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) | |
| ▶ | 11.1% | #s(literal -3/2 binary64) |
Compiled 1 127 to 667 computations (40.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r)) |
| ✓ | cost-diff | 1728 | (*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 w w)) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
| ✓ | cost-diff | 128 | (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r r) v) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
| ✓ | cost-diff | 640 | (*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #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 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
| 14 064× | lower-fma.f32 |
| 14 056× | lower-fma.f64 |
| 4 404× | lower-*.f32 |
| 4 386× | lower-*.f64 |
| 1 688× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 170 |
| 0 | 53 | 166 |
| 1 | 109 | 166 |
| 2 | 291 | 165 |
| 3 | 945 | 163 |
| 4 | 1833 | 161 |
| 5 | 3734 | 161 |
| 6 | 7305 | 161 |
| 0 | 8085 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) |
(*.f64 r w) |
w |
(*.f64 (*.f64 r w) #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
v |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 r r) v) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
r |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) |
(neg.f64 v) |
v |
#s(literal 1/8 binary64) |
#s(literal -3/8 binary64) |
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))) |
v |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r)) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) |
(*.f64 r r) |
r |
(/.f64 #s(literal -3/2 binary64) v) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) v) |
#s(literal 2 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(-.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal 3/8 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) |
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal 3/8 binary64)))) #s(literal 3/2 binary64)) |
(*.f64 r w) |
w |
(*.f64 (*.f64 r w) #s(literal 3/8 binary64)) |
(*.f64 r (*.f64 w #s(literal 3/8 binary64))) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
v |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 r r) v) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 r (*.f64 w (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -3/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
r |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) |
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) |
(neg.f64 v) |
v |
#s(literal 1/8 binary64) |
#s(literal -3/8 binary64) |
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 r r)) |
v |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r)) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) |
(*.f64 r r) |
r |
(/.f64 #s(literal -3/2 binary64) v) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) v) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 96.6% | (*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))) |
| ✓ | accuracy | 92.9% | (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) |
| ✓ | accuracy | 58.4% | (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r)) |
| ✓ | accuracy | 100.0% | (neg.f64 v) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 95.3% | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | accuracy | 86.7% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
| ✓ | accuracy | 90.2% | (*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
| ✓ | accuracy | 90.0% | (*.f64 (*.f64 r r) v) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 69.0ms | 256× | 0 | valid |
Compiled 172 to 35 computations (79.7% saved)
ival-mult: 36.0ms (69.6% of total)ival-div: 8.0ms (15.5% of total)ival-add: 4.0ms (7.7% of total)ival-sub: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))> |
#<alt (*.f64 r r)> |
#<alt (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))> |
#<alt (*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))> |
#<alt (*.f64 (*.f64 r r) v)> |
#<alt (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64))> |
#<alt (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))> |
#<alt (*.f64 r (*.f64 r (*.f64 w w)))> |
#<alt (*.f64 r (*.f64 w w))> |
#<alt (*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r)))> |
#<alt (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))> |
#<alt (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v))> |
#<alt (*.f64 (*.f64 r w) #s(literal 3/8 binary64))> |
#<alt (neg.f64 v)> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt (pow r 2)> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt (* (pow r 2) v)> |
#<alt -3/8> |
#<alt (- (* -1/8 v) 3/8)> |
#<alt (- (* -1/8 v) 3/8)> |
#<alt (- (* -1/8 v) 3/8)> |
#<alt (* -1/8 v)> |
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))> |
#<alt (* -1/8 v)> |
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))> |
#<alt -3/2> |
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)> |
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)> |
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)> |
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt -3/2> |
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)> |
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)> |
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)> |
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))> |
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))> |
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))> |
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) (pow r 2)))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) (pow r 2)))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) (pow r 2)))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) (pow r 2)))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt -3/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt -3/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (/ 2 (* (pow r 2) v))> |
#<alt (/ (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) (pow r 2))> |
#<alt (/ (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) (pow r 2))> |
#<alt (/ (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) (pow r 2))> |
#<alt (/ -3/2 v)> |
#<alt (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))> |
#<alt (/ -3/2 v)> |
#<alt (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v)))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v)))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v)))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v)))> |
#<alt (/ 2 v)> |
#<alt (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v)))> |
#<alt (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v)))> |
#<alt (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v)))> |
#<alt (* -3/2 (/ (pow r 2) v))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))> |
#<alt (* -3/2 (/ (pow r 2) v))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) v)> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) v)> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) v)> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) v)> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) v)> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) v)> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) v)> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) v)> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) v))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) v))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) v))> |
#<alt (* -1 (/ (- (* 3/2 (pow r 2)) 2) v))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* 3/8 (* r w))> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
#<alt (* -1 v)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (* v (/ (+ (* (* r r) (/ -3/2 v)) (/ 2 v)) (* r r))) |
| 1.0ms | v | @ | -inf | (* v (/ (+ (* (* r r) (/ -3/2 v)) (/ 2 v)) (* r r))) |
| 1.0ms | v | @ | inf | (* v (/ (+ (* (* r r) (/ -3/2 v)) (/ 2 v)) (* r r))) |
| 1.0ms | r | @ | 0 | (* v (/ (+ (* (* r r) (/ -3/2 v)) (/ 2 v)) (* r r))) |
| 1.0ms | w | @ | 0 | (* (* r w) 3/8) |
| 1× | batch-egg-rewrite |
| 5 730× | lower-*.f32 |
| 5 712× | lower-*.f64 |
| 4 378× | lower-/.f32 |
| 4 368× | lower-/.f64 |
| 3 640× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 133 |
| 0 | 53 | 133 |
| 1 | 207 | 127 |
| 2 | 1681 | 127 |
| 0 | 8666 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
(fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(*.f64 (*.f64 r r) v) |
(fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))) |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r)) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) |
(*.f64 (*.f64 r w) #s(literal 3/8 binary64)) |
(neg.f64 v) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (neg.f64 (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))) |
(+.f64 (neg.f64 (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))))) #s(literal -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))))) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) (fma.f64 (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 (*.f64 (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) (*.f64 (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))) (fma.f64 (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))) (/.f64 (*.f64 (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64))))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64)))))) (/.f64 (*.f64 (*.f64 r r) (fma.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r r) (*.f64 w w))) (*.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 27/512 binary64)) #s(literal 27/8 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) (/.f64 (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -9/4 binary64))) (*.f64 (*.f64 r r) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64))))) (*.f64 (neg.f64 (*.f64 r r)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64)))))) (/.f64 (*.f64 (neg.f64 (*.f64 r r)) (fma.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r r) (*.f64 w w))) (*.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 27/512 binary64)) #s(literal 27/8 binary64))) (*.f64 (neg.f64 (*.f64 r r)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64))))))) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 (neg.f64 (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 r r)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -9/4 binary64))) (*.f64 (neg.f64 (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64))))) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r r) (*.f64 w w))) (*.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 27/512 binary64)) #s(literal 27/8 binary64))) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -9/4 binary64))) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))))) |
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(/.f64 (fma.f64 #s(literal -2 binary64) v (*.f64 (neg.f64 v) (*.f64 r (*.f64 r #s(literal -3/2 binary64))))) (*.f64 (neg.f64 v) v)) |
(/.f64 (fma.f64 #s(literal 1 binary64) v (*.f64 (*.f64 v #s(literal 1/2 binary64)) (*.f64 r (*.f64 r #s(literal -3/2 binary64))))) (*.f64 (*.f64 v #s(literal 1/2 binary64)) v)) |
(/.f64 (fma.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) v (*.f64 #s(literal 2 binary64) v)) (*.f64 v v)) |
(/.f64 (fma.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (neg.f64 v) (*.f64 v #s(literal -2 binary64))) (*.f64 v (neg.f64 v))) |
(/.f64 (fma.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 v #s(literal 1/2 binary64)) (*.f64 v #s(literal 1 binary64))) (*.f64 v (*.f64 v #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 #s(literal -27/8 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) (*.f64 v v)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64))) (*.f64 v v))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 #s(literal -27/8 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64))) (*.f64 v v))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) #s(literal 4 binary64)) (*.f64 v v))) (neg.f64 (/.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64)) v))) |
(/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64))))) (*.f64 v v)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) v)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) (*.f64 v v)) (/.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64)) v)) (*.f64 (/.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64)) v) (/.f64 #s(literal 4 binary64) (*.f64 v v)))) (*.f64 (/.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64)) v) (/.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64)) v))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) v (*.f64 v (*.f64 r (*.f64 r #s(literal -3/2 binary64)))))) (neg.f64 (*.f64 v v))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) v (*.f64 (neg.f64 v) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))))) (neg.f64 (*.f64 (neg.f64 v) v))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) v (*.f64 (*.f64 v #s(literal 1/2 binary64)) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))))) (neg.f64 (*.f64 (*.f64 v #s(literal 1/2 binary64)) v))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) v (*.f64 #s(literal 2 binary64) v))) (neg.f64 (*.f64 v v))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (neg.f64 v) (*.f64 v #s(literal -2 binary64)))) (neg.f64 (*.f64 v (neg.f64 v)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 v #s(literal 1/2 binary64)) (*.f64 v #s(literal 1 binary64)))) (neg.f64 (*.f64 v (*.f64 v #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 #s(literal -27/8 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) (*.f64 v v)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64))) (*.f64 v v)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) #s(literal 4 binary64)) (*.f64 v v)))) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64)) v)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64))))) (*.f64 v v))) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) v))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) (*.f64 v v)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64))) (*.f64 v v))) (fma.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 #s(literal -27/8 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64)) v) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) #s(literal 4 binary64)) (*.f64 v v))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 #s(literal -27/8 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 8 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) (*.f64 v v)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64))) (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) #s(literal 4 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) #s(literal 2 binary64)) v))) |
(*.f64 r (*.f64 w #s(literal 3/8 binary64))) |
(*.f64 w (*.f64 r #s(literal 3/8 binary64))) |
(*.f64 (*.f64 r w) #s(literal 3/8 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(*.f64 (*.f64 w #s(literal 3/8 binary64)) r) |
(*.f64 (*.f64 #s(literal 3/8 binary64) r) w) |
(+.f64 #s(literal 0 binary64) (neg.f64 v)) |
(-.f64 #s(literal 0 binary64) v) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 v v (*.f64 #s(literal 0 binary64) v)))) (/.f64 (*.f64 v (*.f64 v v)) (+.f64 #s(literal 0 binary64) (fma.f64 v v (*.f64 #s(literal 0 binary64) v))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) v)) (/.f64 (*.f64 v v) (+.f64 #s(literal 0 binary64) v))) |
(neg.f64 v) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 0 binary64) (fma.f64 v v (*.f64 #s(literal 0 binary64) v)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (+.f64 #s(literal 0 binary64) v)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 v v (*.f64 #s(literal 0 binary64) v))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))) (neg.f64 (+.f64 #s(literal 0 binary64) v))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 v) (*.f64 v v))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 v v) (*.f64 #s(literal 0 binary64) (neg.f64 v))))) |
(*.f64 v #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) v) |
| 1× | egg-herbie |
| 14 106× | lower-fma.f64 |
| 14 106× | lower-fma.f32 |
| 5 518× | lower-*.f64 |
| 5 518× | lower-*.f32 |
| 1 872× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 2909 |
| 1 | 291 | 2909 |
| 2 | 901 | 2786 |
| 3 | 2953 | 2618 |
| 0 | 8310 | 2488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
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)))) |
(* 3/8 (* (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) (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))))) |
3/2 |
(+ 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)))) |
(* 3/8 (* (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 (* (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))))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(/ 2 (* (pow r 2) v)) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
(* (pow r 2) v) |
-3/8 |
(- (* -1/8 v) 3/8) |
(- (* -1/8 v) 3/8) |
(- (* -1/8 v) 3/8) |
(* -1/8 v) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1/8 v) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
-3/2 |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
-3/2 |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2))))) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v)))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(/ (+ 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 (* -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 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (pow r 2))) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (pow r 2))) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (pow r 2))) |
(* -1 (/ (- (* 3/2 (pow r 2)) 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)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 2 (* (pow r 2) v)) |
(/ (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) (pow r 2)) |
(/ (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) (pow r 2)) |
(/ (+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) (pow r 2)) |
(/ -3/2 v) |
(- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))) |
(- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))) |
(- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))) |
(/ -3/2 v) |
(- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))) |
(- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))) |
(- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v))) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v))) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v))) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v))) |
(/ 2 v) |
(+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) |
(+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) |
(+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) |
(* -3/2 (/ (pow r 2) v)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(* -3/2 (/ (pow r 2) v)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) v)) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) v)) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) v)) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) v)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* 3/8 (* r w)) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(-.f64 #s(literal -3/2 binary64) (/.f64 #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 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #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 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 r (*.f64 r (fma.f64 #s(literal -3/8 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 r (*.f64 r (fma.f64 #s(literal -3/8 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))) #s(literal -3/2 binary64)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 r (*.f64 r (fma.f64 #s(literal -3/8 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 r (*.f64 r (fma.f64 #s(literal -3/8 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 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) |
(pow r 2) |
(*.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) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v)) |
(/ 2 (* (pow r 2) v)) |
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(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v))) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) v)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v))) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v))) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v))) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) (* (pow r 2) v))) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) v) |
(/ 2 v) |
(/.f64 #s(literal 2 binary64) v) |
(+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(+ (* -3/2 (/ (pow r 2) v)) (* 2 (/ 1 v))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* -3/2 (/ (pow r 2) v)) |
(/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) v) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* -3/2 (/ (pow r 2) v)) |
(/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) v) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) v))) (* 3/2 (/ 1 v)))) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(/ (+ 2 (* -3/2 (pow r 2))) v) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) v)) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) v)) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) v)) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* -1 (/ (- (* 3/2 (pow r 2)) 2) v)) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) v) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* 3/8 (* r w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r w)) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
(* -1 v) |
(neg.f64 v) |
Compiled 25 150 to 1 787 computations (92.9% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 934 | 9 | 943 |
| Fresh | 7 | 13 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 943 | 28 | 971 |
| Status | Accuracy | Program |
|---|---|---|
| 42.7% | (fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) | |
| 49.6% | (fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r #s(literal -3/2 binary64)) | |
| 50.6% | (fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) | |
| 52.4% | (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) | |
| 48.6% | (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) | |
| 42.6% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| ✓ | 42.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 83.4% | (-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| 79.3% | (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| ✓ | 82.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
| ✓ | 95.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
| 71.5% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))))) | |
| 45.1% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| ✓ | 52.5% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
| 91.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w #s(literal 1/4 binary64))) (*.f64 r w))) #s(literal 9/2 binary64)) | |
| 75.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) | |
| 41.1% | (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r w) w) (neg.f64 r))) | |
| 57.1% | (*.f64 (/.f64 (fma.f64 r (/.f64 r (*.f64 v #s(literal -2/3 binary64))) (/.f64 #s(literal 2 binary64) v)) r) (/.f64 v r)) | |
| 37.2% | (*.f64 (/.f64 v (*.f64 r r)) (/.f64 #s(literal 2 binary64) v)) | |
| 40.6% | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) | |
| 41.7% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) | |
| 77.1% | (*.f64 v (/.f64 (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) v)) | |
| 39.8% | (*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r v) r))) | |
| ✓ | 39.8% | (*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
| 11.1% | (*.f64 v (/.f64 #s(literal -3/2 binary64) v)) | |
| 43.8% | (*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) | |
| 43.8% | (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) | |
| ✓ | 11.1% | #s(literal -3/2 binary64) |
Compiled 1 674 to 569 computations (66% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r v) r))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (neg.f64 r)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (neg.f64 r) (*.f64 r w)) w)) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r w) w) (neg.f64 r))) |
(fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (/.f64 v (*.f64 r r)) (/.f64 #s(literal 2 binary64) v)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w #s(literal 1/4 binary64))) (*.f64 r w))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #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 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
(*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(*.f64 v (/.f64 (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) v)) |
(*.f64 (/.f64 (fma.f64 r (/.f64 r (*.f64 v #s(literal -2/3 binary64))) (/.f64 #s(literal 2 binary64) v)) r) (/.f64 v r)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(*.f64 v (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r v))) (fma.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)))) (/.f64 #s(literal -3/2 binary64) v))) v) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(*.f64 v (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 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))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 r (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/4 binary64)) (*.f64 w (*.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64)))) (*.f64 (*.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/4 binary64)) (*.f64 w (*.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
6 calls:
| 89.0ms | v |
| 20.0ms | (*.f64 w w) |
| 18.0ms | r |
| 16.0ms | w |
| 15.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | v |
| 99.8% | 1 | w |
| 99.8% | 1 | r |
| 99.8% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 99.8% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.8% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r v) r))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (neg.f64 r)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (neg.f64 r) (*.f64 r w)) w)) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r w) w) (neg.f64 r))) |
(fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (/.f64 v (*.f64 r r)) (/.f64 #s(literal 2 binary64) v)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w #s(literal 1/4 binary64))) (*.f64 r w))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #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 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
(*.f64 v (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) v) (/.f64 #s(literal 2 binary64) v)) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(*.f64 v (/.f64 (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) v)) |
(*.f64 (/.f64 (fma.f64 r (/.f64 r (*.f64 v #s(literal -2/3 binary64))) (/.f64 #s(literal 2 binary64) v)) r) (/.f64 v r)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
6 calls:
| 14.0ms | w |
| 14.0ms | r |
| 12.0ms | v |
| 12.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 12.0ms | (-.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 |
|---|---|---|
| 98.4% | 2 | v |
| 95.7% | 1 | w |
| 99.7% | 2 | r |
| 95.7% | 1 | (*.f64 w w) |
| 99.8% | 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)) |
| 99.8% | 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))) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r v) r))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (neg.f64 r)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (neg.f64 r) (*.f64 r w)) w)) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r w) w) (neg.f64 r))) |
(fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (/.f64 v (*.f64 r r)) (/.f64 #s(literal 2 binary64) v)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w #s(literal 1/4 binary64))) (*.f64 r w))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w #s(literal 1/4 binary64))) (*.f64 r w))) #s(literal 9/2 binary64)) |
2 calls:
| 17.0ms | v |
| 12.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | v |
| 95.7% | 1 | r |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r v) r))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (neg.f64 r)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (neg.f64 r) (*.f64 r w)) w)) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r w) w) (neg.f64 r))) |
(fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (/.f64 v (*.f64 r r)) (/.f64 #s(literal 2 binary64) v)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 w #s(literal 3/8 binary64))) r) r #s(literal 3/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
4 calls:
| 12.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 10.0ms | v |
| 10.0ms | r |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | r |
| 95.7% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 95.7% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 95.7% | 1 | v |
Compiled 70 to 48 computations (31.4% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r v) r))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (neg.f64 r)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (neg.f64 r) (*.f64 r w)) w)) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r w) w) (neg.f64 r))) |
(fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (/.f64 v (*.f64 r r)) (/.f64 #s(literal 2 binary64) v)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
6 calls:
| 41.0ms | w |
| 15.0ms | (*.f64 w w) |
| 11.0ms | r |
| 9.0ms | 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 3 | w |
| 94.8% | 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)) |
| 94.8% | 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))) |
| 92.6% | 3 | (*.f64 w w) |
| 87.1% | 1 | v |
| 94.0% | 2 | r |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) v))) |
(*.f64 v (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r v) r))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (neg.f64 r)))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (neg.f64 r) (*.f64 r w)) w)) |
(*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r w) w) (neg.f64 r))) |
(fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (neg.f64 v) #s(literal 1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (/.f64 v (*.f64 r r)) (/.f64 #s(literal 2 binary64) v)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
3 calls:
| 14.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 8.0ms | r |
| 7.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.1% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 92.3% | 2 | r |
Compiled 66 to 45 computations (31.8% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)) |
1 calls:
| 10.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 calls:
| 3.0ms | r |
| 3.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 3.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 91.9% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 90.5% | 3 | r |
Compiled 66 to 45 computations (31.8% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
6 calls:
| 4.0ms | v |
| 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 | w |
| 3.0ms | r |
| 2.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | v |
| 52.5% | 1 | r |
| 52.5% | 1 | w |
| 52.5% | 1 | (*.f64 w w) |
| 52.5% | 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)) |
| 52.5% | 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 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal -3/2 binary64) |
6 calls:
| 5.0ms | v |
| 2.0ms | r |
| 2.0ms | w |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 2.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.6% | 1 | v |
| 50.6% | 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)) |
| 50.6% | 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))) |
| 52.4% | 2 | r |
| 42.6% | 1 | w |
| 42.6% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(*.f64 v (/.f64 #s(literal -3/2 binary64) v)) |
| Outputs |
|---|
#s(literal -3/2 binary64) |
6 calls:
| 1.0ms | r |
| 1.0ms | w |
| 1.0ms | v |
| 1.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 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 |
|---|---|---|
| 11.1% | 1 | w |
| 11.1% | 1 | (*.f64 w w) |
| 11.1% | 1 | v |
| 11.1% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 11.1% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 11.1% | 1 | r |
Compiled 80 to 55 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.7565472786667712e-11 | 2.1325151484985655e-10 |
| 10.0ms | 96× | 0 | valid |
Compiled 311 to 220 computations (29.3% saved)
ival-mult: 4.0ms (56.1% of total)ival-sub: 2.0ms (28% of total)ival-div: 1.0ms (14% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.9579882771624605e-6 | 0.0076937565248956855 |
| 2.0ms | 16× | 0 | valid |
Compiled 78 to 58 computations (25.6% saved)
ival-mult: 1.0ms (86.6% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 1238411.2670084473 | 2120751676.6607 |
| 33.0ms | 128× | 0 | valid |
Compiled 307 to 212 computations (30.9% saved)
ival-mult: 25.0ms (84.7% of total)ival-div: 2.0ms (6.8% of total)ival-sub: 2.0ms (6.8% of total)ival-add: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 2.7565472786667712e-11 | 2.1325151484985655e-10 |
| 3.0ms | 32× | 0 | valid |
Compiled 173 to 130 computations (24.9% saved)
ival-sub: 1.0ms (42.9% of total)ival-mult: 1.0ms (42.9% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.7565472786667712e-11 | 2.1325151484985655e-10 |
Compiled 173 to 130 computations (24.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4866953.935999529 | 3.0 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7565472786667712e-11 | 2.1325151484985655e-10 |
Compiled 119 to 100 computations (16% saved)
| 1× | egg-herbie |
| 430× | unsub-neg_binary64 |
| 298× | neg-mul-1_binary64 |
| 154× | distribute-lft-neg-in_binary64 |
| 140× | distribute-rgt-neg-in_binary64 |
| 126× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 255 |
| 1 | 138 | 255 |
| 2 | 211 | 255 |
| 3 | 281 | 255 |
| 4 | 352 | 255 |
| 5 | 419 | 255 |
| 6 | 603 | 255 |
| 7 | 937 | 255 |
| 8 | 1116 | 255 |
| 9 | 1133 | 255 |
| 10 | 1134 | 255 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(if (<=.f64 r #s(literal 2030995376952577/9671406556917033397649408 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal 5902958103587057/1180591620717411303424 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w #s(literal 1/4 binary64))) (*.f64 r w))) #s(literal 9/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(if (<=.f64 r #s(literal 38000000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7350268983256945/38685626227668133590597632 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7350268983256945/38685626227668133590597632 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #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 -4000000 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) (+.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))) |
(if (<=.f64 r #s(literal 2030995376952577/9671406556917033397649408 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64)))))) #s(literal 9/2 binary64)) |
(if (<=.f64 r #s(literal 2030995376952577/9671406556917033397649408 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 2030995376952577/9671406556917033397649408 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal 3/8 binary64) (*.f64 r w)) #s(literal 3/2 binary64))) (-.f64 (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (+.f64 v #s(literal -1 binary64))))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal 5902958103587057/1180591620717411303424 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w #s(literal 1/4 binary64))) (*.f64 r w))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal 5902958103587057/1180591620717411303424 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal 3/8 binary64) (*.f64 r w)) #s(literal 3/2 binary64))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal 3/8 binary64) (*.f64 r w)) #s(literal 3/2 binary64))) |
(if (<=.f64 r #s(literal 38000000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 38000000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7350268983256945/38685626227668133590597632 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7350268983256945/38685626227668133590597632 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #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 -4000000 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -4000000 binary64)) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
(if (<=.f64 r #s(literal 2030995376952577/9671406556917033397649408 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
| 28 704× | lower-fma.f64 |
| 28 704× | lower-fma.f32 |
| 19 046× | lower-fma.f64 |
| 19 046× | lower-fma.f32 |
| 14 382× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 379 | 8208 |
| 1 | 1277 | 7929 |
| 2 | 4597 | 7307 |
| 0 | 8752 | 6960 |
| 0 | 42 | 311 |
| 0 | 76 | 279 |
| 1 | 362 | 268 |
| 2 | 3010 | 268 |
| 0 | 8775 | 247 |
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 0 | 109 | 2909 |
| 1 | 291 | 2909 |
| 2 | 901 | 2786 |
| 3 | 2953 | 2618 |
| 0 | 8310 | 2488 |
| 0 | 345 | 10973 |
| 1 | 1129 | 10305 |
| 2 | 3751 | 9615 |
| 0 | 8637 | 9119 |
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2580 | 3578 |
| 0 | 8212 | 3390 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 740 to 416 computations (43.8% saved)
(abs w)
(abs r)
Compiled 1 044 to 522 computations (50% saved)
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