
Time bar (total: 14.5s)
| 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: 509.0ms (55.9% of total)ival-sub: 186.0ms (20.4% of total)ival-div: 148.0ms (16.2% of total)ival-add: 39.0ms (4.3% of total)exact: 19.0ms (2.1% of total)ival-true: 6.0ms (0.7% 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 |
|---|---|---|---|---|---|
| 48 | 0 | - | 0 | - | (*.f64 (*.f64 w w) r) |
| 17 | 0 | - | 1 | (-4.417313092356879e+32 2.5235730888918034e+65 1.8571774824065486e-222) | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| 14 | 0 | - | 2 | (-1.3615594138586968e-146 4.200397597808183e-294 2.5135117549756335e+271) | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 11 | 0 | - | 0 | - | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
| 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) (*.f64 r r)) |
| 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 | 28 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 13 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) | o/n | 11 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | overflow | 59 | |
| ↳ | (*.f64 w w) | overflow | 73 | |
| ↳ | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | overflow | 81 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 71 | |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 4 | 0 |
*.f64 | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 50 | 0 |
| - | 2 | 204 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 50 | 0 | 0 |
| - | 2 | 0 | 204 |
| number | freq |
|---|---|
| 0 | 204 |
| 1 | 47 |
| 2 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 512× | 0 | valid |
Compiled 360 to 92 computations (74.4% saved)
ival-mult: 20.0ms (48% of total)ival-sub: 9.0ms (21.6% of total)ival-div: 8.0ms (19.2% of total)ival-add: 2.0ms (4.8% of total)ival-true: 1.0ms (2.4% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.1% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
Compiled 32 to 22 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 16 612× | lower-fma.f64 |
| 16 612× | lower-fma.f32 |
| 6 932× | lower-*.f32 |
| 6 918× | lower-*.f64 |
| 1 710× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 146 |
| 0 | 36 | 146 |
| 1 | 72 | 146 |
| 2 | 184 | 134 |
| 3 | 713 | 134 |
| 4 | 3939 | 134 |
| 5 | 7914 | 134 |
| 0 | 8146 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w))) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 w w) r) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.9% | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 | 94.6% | (*.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 | 82.9% | (*.f64 (*.f64 w w) r) |
| 47.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-mult: 25.0ms (73.4% of total)ival-sub: 4.0ms (11.7% of total)ival-div: 3.0ms (8.8% of total)ival-add: 1.0ms (2.9% of total)exact: 1.0ms (2.9% 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 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) 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))> |
| 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 (* 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))> |
#<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)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | w | @ | inf | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (* (* w w) r) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | v | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1× | egg-herbie |
| 14 382× | lower-fma.f64 |
| 14 382× | lower-fma.f32 |
| 5 144× | lower-+.f64 |
| 5 144× | lower-+.f32 |
| 4 118× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2574 | 3578 |
| 0 | 8209 | 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)) |
(* 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)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.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)) |
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(*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) |
(+ (* 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)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) (*.f64 v (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(fma.f64 (*.f64 v v) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (neg.f64 v)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) (*.f64 v v)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (neg.f64 v)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(-.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
| 1× | 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 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
| Outputs |
|---|
(+.f64 #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)))) |
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(*.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))) |
Compiled 29 622 to 2 008 computations (93.2% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 592 | 23 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 593 | 23 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) | |
| 22.7% | (fma.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 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 (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)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal -9/2 binary64)) | |
| 58.4% | (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))) | |
| 55.4% | (fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64))) | |
| 58.6% | (-.f64 (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)))) (/.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)) | |
| 94.6% | (-.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)) | |
| 48.3% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64)) | |
| 56.2% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 92.2% | (-.f64 (-.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)))) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 90.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 98.0% | (-.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)) |
| 74.3% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) | |
| ▶ | 97.9% | (-.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))) |
| 53.7% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 48.6% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 71.3% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| ▶ | 45.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ▶ | 74.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
| 73.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) | |
| 71.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) | |
| 85.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 58.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| ▶ | 53.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
Compiled 1 512 to 896 computations (40.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 w w) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
| ✓ | cost-diff | 320 | (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) |
| ✓ | cost-diff | 1664 | (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 192 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
| ✓ | 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 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 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))) |
| 22 502× | lower-fma.f32 |
| 22 494× | lower-fma.f64 |
| 7 064× | lower-*.f32 |
| 7 038× | lower-*.f64 |
| 2 374× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 594 |
| 0 | 95 | 581 |
| 1 | 230 | 569 |
| 2 | 643 | 563 |
| 3 | 2835 | 555 |
| 4 | 6739 | 555 |
| 0 | 8151 | 530 |
| 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) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 w w) |
w |
(*.f64 (*.f64 r r) #s(literal -3/8 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))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(*.f64 w w) |
w |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
#s(literal 2 binary64) |
(*.f64 r (*.f64 r (*.f64 w w))) |
r |
(*.f64 r (*.f64 w w)) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(/.f64 #s(literal -3/2 binary64) (*.f64 w w)) |
#s(literal -3/2 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 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 -3/2 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 w (*.f64 w (*.f64 r (*.f64 r (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 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 (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) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(*.f64 w w) |
w |
(*.f64 (*.f64 r r) #s(literal -3/8 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))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 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 -3/2 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r 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))) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.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 -3/2 binary64)))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(+.f64 (/.f64 #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 -3/2 binary64))) |
(*.f64 w w) |
w |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) |
#s(literal 2 binary64) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w (*.f64 r w))) |
r |
(*.f64 r (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) |
(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(/.f64 #s(literal -3/2 binary64) (*.f64 w w)) |
#s(literal -3/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 93.0% | (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 88.0% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
| ✓ | accuracy | 82.9% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 66.7% | (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
| ✓ | accuracy | 99.8% | (*.f64 w (*.f64 r w)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 92.6% | (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 94.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
| ✓ | accuracy | 76.7% | (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 46.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | accuracy | 99.8% | (*.f64 w (*.f64 r w)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.6% | (*.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 | 95.3% | (*.f64 r (*.f64 w (*.f64 r w))) |
| 85.0ms | 241× | 0 | valid |
| 16.0ms | 6× | 1 | valid |
| 8.0ms | 9× | 2 | valid |
Compiled 563 to 58 computations (89.7% saved)
ival-mult: 45.0ms (58% of total)ival-div: 11.0ms (14.2% of total)ival-sub: 9.0ms (11.6% of total)ival-add: 8.0ms (10.3% of total)adjust: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))> |
#<alt (*.f64 r r)> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))> |
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))> |
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))> |
#<alt (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))> |
#<alt (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))))> |
#<alt (*.f64 w w)> |
#<alt (*.f64 r (*.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 w (*.f64 r w))> |
#<alt (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))> |
#<alt (*.f64 (*.f64 r r) #s(literal -3/8 binary64))> |
#<alt (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))> |
#<alt (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))> |
#<alt (*.f64 r (*.f64 w w))> |
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))> |
#<alt (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))> |
| 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)))))))> |
#<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 (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))))> |
#<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 (* 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 (/ 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 (* -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)))))> |
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#<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 (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<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))> |
#<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 (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))> |
#<alt (+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))> |
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)> |
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))> |
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 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 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 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 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (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 (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))> |
#<alt (/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2))> |
#<alt (/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))> |
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))> |
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))> |
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))> |
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (* 3 (pow r 2))> |
#<alt (+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))> |
#<alt (+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2)))))> |
#<alt (+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2)))))> |
#<alt (* 2 (pow r 2))> |
#<alt (- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v)))> |
#<alt (- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2)))))> |
#<alt (- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))))> |
#<alt (* 2 (pow r 2))> |
#<alt (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))> |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | -inf | (* r r) |
| 2.0ms | v | @ | 0 | (* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))) |
| 1.0ms | v | @ | inf | (/ (* r (* r (+ (* v -2) 3))) (- 1 v)) |
| 1.0ms | w | @ | 0 | (* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))) |
| 1.0ms | r | @ | 0 | (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v))) |
| 1× | egg-herbie |
| 21 098× | lower-fma.f64 |
| 21 098× | lower-fma.f32 |
| 4 730× | lower-*.f64 |
| 4 730× | lower-*.f32 |
| 3 356× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 533 | 13558 |
| 1 | 1727 | 12571 |
| 2 | 5754 | 12323 |
| 0 | 8302 | 11486 |
| 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))) |
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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)) |
(/ (+ 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)) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(/ 2 (pow r 2)) |
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(/ 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) |
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(pow r 2) |
(pow r 2) |
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(pow r 2) |
(pow r 2) |
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(/ (+ 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)) |
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(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
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(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
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(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
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(- (* 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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(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (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))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (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) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ 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))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* v (+ (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 3))) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ -3/2 (pow w 2)) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (* -1/4 (pow r 2))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* -1/4 (pow r 2))) (* 3/2 (/ 1 (pow w 2)))) |
(/ -3/2 (pow w 2)) |
(/ (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (pow w 2)) |
(/ (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (pow w 2)) |
(/ (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
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(- (+ (* 2 (/ 1 (pow r 2))) (* 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))))) |
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9/2 |
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9/2 |
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(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(* 3 (pow r 2)) |
(+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) |
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2))))) |
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2))))) |
(* 2 (pow r 2)) |
(- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v))) |
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2))))) |
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2)))))) |
(* 2 (pow r 2)) |
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 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 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 (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w 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) (fma.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (fma.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w 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) (fma.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (fma.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(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)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(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)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(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)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -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 v (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w w))) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.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 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(fma.f64 v (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(- (* 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 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (fma.f64 (*.f64 w w) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 r r) v)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(-.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) (*.f64 v v)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) v) #s(literal 3/2 binary64)))) |
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(*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) w) w)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) w) w)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) w) w)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) w) w)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2)) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/.f64 (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)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/.f64 (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)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/.f64 (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)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (fma.f64 v (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (fma.f64 v (*.f64 (*.f64 r r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (fma.f64 v (fma.f64 v (*.f64 (*.f64 r r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 r r) v) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 r) (/.f64 r (*.f64 v v)) (neg.f64 (/.f64 (*.f64 r r) v))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2)))) |
(+.f64 (fma.f64 #s(literal -1/8 binary64) (fma.f64 r (neg.f64 (/.f64 r v)) (fma.f64 r (neg.f64 (/.f64 r (*.f64 v v))) (/.f64 (neg.f64 (*.f64 r r)) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) |
(- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 r r) v) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)))) |
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) (/.f64 (fma.f64 (*.f64 r r) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 r r))) v)) v)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))) (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 (*.f64 r r) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 r r) v))) v)) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(* 3 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal 3 binary64)) |
(+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) |
(fma.f64 v (*.f64 r r) (*.f64 (*.f64 r r) #s(literal 3 binary64))) |
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2))))) |
(fma.f64 v (*.f64 (*.f64 r r) (+.f64 v #s(literal 1 binary64))) (*.f64 (*.f64 r r) #s(literal 3 binary64))) |
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2))))) |
(fma.f64 v (fma.f64 v (*.f64 (*.f64 r r) (+.f64 v #s(literal 1 binary64))) (*.f64 r r)) (*.f64 (*.f64 r r) #s(literal 3 binary64))) |
(* 2 (pow r 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 r r)) |
(- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v))) |
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r r) v)) |
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2))))) |
(+.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 r r) (/.f64 (*.f64 (*.f64 r r) #s(literal -3 binary64)) (*.f64 v v))) (/.f64 (*.f64 r r) v)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 v v))) |
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2)))))) |
(-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 r r) (/.f64 (*.f64 (*.f64 r r) #s(literal -3 binary64)) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) v)) (fma.f64 r (/.f64 r (*.f64 v v)) (/.f64 (*.f64 (*.f64 r r) #s(literal -2 binary64)) (*.f64 v (*.f64 v v))))) |
(* 2 (pow r 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r r) v)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 r r (/.f64 (*.f64 r r) v)) v)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 r r (/.f64 (fma.f64 r r (/.f64 (*.f64 r r) v)) v)) v)) |
| 1× | batch-egg-rewrite |
| 4 934× | lower-*.f32 |
| 4 908× | lower-*.f64 |
| 3 904× | lower-fma.f32 |
| 3 896× | lower-fma.f64 |
| 3 200× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 438 |
| 0 | 95 | 431 |
| 1 | 449 | 393 |
| 2 | 3973 | 393 |
| 0 | 8121 | 369 |
| 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))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(-.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 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(*.f64 w w) |
(*.f64 r (*.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 w (*.f64 r w)) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 w w)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
| Outputs |
|---|
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)) |
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 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 v #s(literal 1/8 binary64)) #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))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 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 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 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 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (neg.f64 (-.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 -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)) |
(+.f64 #s(literal -9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (-.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 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) #s(literal 3 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64) #s(literal 81/4 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 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) (/.f64 (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))) (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))) |
(-.f64 (/.f64 (*.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 #s(literal 3 binary64) (+.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 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))))) (/.f64 (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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))) #s(literal 9/2 binary64)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 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 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)))) |
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(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal 3 binary64)) (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w))))) (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w)))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))))) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w w)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w w)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) (-.f64 #s(literal 1 binary64) v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r r) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (neg.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) (-.f64 #s(literal 1 binary64) v)) r) |
(*.f64 (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))) |
(*.f64 (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64))) |
Compiled 59 907 to 2 711 computations (95.5% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 610 | 16 | 1 626 |
| Fresh | 12 | 6 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 626 | 23 | 1 649 |
| Status | Accuracy | Program |
|---|---|---|
| 61.4% | (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 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64))) | |
| 55.4% | (fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64))) | |
| 48.3% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64)) | |
| 90.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 89.3% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| 53.9% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #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)) | |
| ▶ | 95.1% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
| 53.7% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 48.6% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 78.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64)) | |
| 53.8% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| ▶ | 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 94.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 43.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r))) | |
| 45.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| ✓ | 45.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ▶ | 58.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
| 85.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| ▶ | 20.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))) |
| ▶ | 19.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
| 33.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
Compiled 1 181 to 698 computations (40.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (*.f64 w w) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))) |
| ✓ | cost-diff | 0 | (*.f64 w w) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 w w)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
| ✓ | cost-diff | 0 | (*.f64 w w) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 192 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
| 13 162× | lower-fma.f32 |
| 13 154× | lower-fma.f64 |
| 7 038× | lower-*.f32 |
| 7 018× | lower-*.f64 |
| 1 718× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 717 |
| 0 | 108 | 717 |
| 1 | 235 | 717 |
| 2 | 597 | 684 |
| 3 | 2163 | 678 |
| 4 | 5378 | 678 |
| 0 | 8108 | 664 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)) |
w |
(*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
(/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r w) r) |
(*.f64 r w) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 3/8 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(*.f64 w w) |
w |
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
#s(literal 2 binary64) |
(*.f64 r (*.f64 r (*.f64 w w))) |
r |
(*.f64 r (*.f64 w w)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 r (*.f64 w w)) |
r |
(*.f64 w w) |
w |
(*.f64 r #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))) |
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))) |
(*.f64 w w) |
w |
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))) |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
(*.f64 r r) |
r |
(/.f64 #s(literal -3/2 binary64) (*.f64 w w)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 w w)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
w |
(*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r w) r) |
(*.f64 r (*.f64 r w)) |
(*.f64 r w) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 3/8 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))) |
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(*.f64 w w) |
w |
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w))))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w)))) |
#s(literal 2 binary64) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 w (*.f64 r (*.f64 r w))) |
r |
(*.f64 r (*.f64 w w)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) |
(*.f64 r (*.f64 w w)) |
r |
(*.f64 w w) |
w |
(*.f64 r #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))) |
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))) |
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))) |
(*.f64 w w) |
w |
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))) |
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))) |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/.f64 (fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
(fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
(*.f64 r r) |
r |
(/.f64 #s(literal -3/2 binary64) (*.f64 w w)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 w w)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 66.9% | (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
| ✓ | accuracy | 66.7% | (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))) |
| ✓ | accuracy | 62.7% | (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
| ✓ | accuracy | 62.3% | #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 98.5% | (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | accuracy | 94.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| ✓ | accuracy | 82.9% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 95.3% | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | accuracy | 82.9% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 66.7% | (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
| ✓ | accuracy | 46.0% | #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 94.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
| ✓ | accuracy | 50.8% | #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 r w) r) |
| ✓ | accuracy | 95.5% | (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 95.2% | (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 91.3% | (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
| 136.0ms | 256× | 0 | valid |
Compiled 528 to 64 computations (87.9% saved)
ival-div: 51.0ms (46.1% of total)ival-mult: 36.0ms (32.6% of total)ival-add: 15.0ms (13.6% of total)ival-sub: 7.0ms (6.3% of total)exact: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))> |
#<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 #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))> |
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))> |
#<alt (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))> |
#<alt (*.f64 w w)> |
#<alt #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))> |
#<alt (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))> |
#<alt (*.f64 r (*.f64 w w))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))> |
#<alt (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))> |
#<alt #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))> |
#<alt (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))> |
#<alt (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))> |
#<alt (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v))> |
#<alt (*.f64 (*.f64 r w) r)> |
#<alt #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))> |
#<alt (*.f64 r (*.f64 r (*.f64 w w)))> |
#<alt (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))> |
#<alt (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.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)> |
#<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 (/ 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 (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 (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 (/ 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 (* -3/2 (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 (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
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#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))> |
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))> |
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))> |
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))> |
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (+ (* 3/8 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))))> |
#<alt (+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))) (* -3/8 (* (pow r 2) w)))))> |
#<alt (+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))) (* -1 (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))))) (* -3/8 (* (pow r 2) w)))))> |
#<alt (* 1/4 (* (pow r 2) w))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w))) (* -1/4 (/ (* (pow r 2) w) v)))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 2))) (* 1/4 (* (pow r 2) w)))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 2)))))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 3))) (* 1/4 (* (pow r 2) w)))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) w)) (* -1/4 (* (pow r 2) w))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 3))))))> |
#<alt (* 1/4 (* (pow r 2) w))> |
#<alt (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) w)) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))> |
#<alt 9/2> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (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 w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt 9/2> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (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) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (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) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 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)))))))> |
#<alt (+ 9/2 (+ (* 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)))))))> |
#<alt (+ 9/2 (+ (* 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)))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 9/2 (+ (* -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)))> |
#<alt (- (+ 9/2 (+ (* -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 (- (+ 9/2 (+ (* -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))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* -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)))))> |
#<alt (+ 9/2 (+ (* -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)))))> |
#<alt (+ 9/2 (+ (* -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)))))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (/ (* (pow r 2) w) (- 1 v))> |
#<alt (* (pow r 2) w)> |
#<alt (+ (* (pow r 2) w) (* (pow r 2) (* v w)))> |
#<alt (+ (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))> |
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))> |
#<alt (* -1 (/ (* (pow r 2) w) v))> |
#<alt (/ (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) v))) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 2)))) (/ (* (pow r 2) w) v)) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 3)))) (+ (/ (* (pow r 2) w) v) (/ (* (pow r 2) w) (pow v 2)))) v)> |
#<alt (* -1 (/ (* (pow r 2) w) v))> |
#<alt (* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt -3/2> |
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<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 (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)> |
#<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 (* (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 (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))> |
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))> |
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))> |
#<alt (/ -3/2 (pow w 2))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (/ -3/2 (pow w 2))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (pow w 2))> |
#<alt (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))> |
#<alt (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))> |
#<alt (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))> |
#<alt (* -3/2 (/ (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* -3/2 (/ (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))> |
168 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | r | @ | inf | (+ (* w (* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))) 9/2) |
| 3.0ms | w | @ | 0 | (/ (+ (* (* r r) (/ -3/2 (* w w))) (/ 2 (* w w))) (* r r)) |
| 2.0ms | v | @ | inf | (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) |
| 1.0ms | r | @ | 0 | (* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8)) |
| 1.0ms | w | @ | 0 | (* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8)) |
| 1× | egg-herbie |
| 17 302× | lower-fma.f64 |
| 17 302× | lower-fma.f32 |
| 5 084× | lower-*.f64 |
| 5 084× | lower-*.f32 |
| 3 296× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 563 | 14076 |
| 1 | 1836 | 13235 |
| 2 | 6305 | 12934 |
| 0 | 8507 | 12081 |
| 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))) |
(* -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))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -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))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -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 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 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))))) |
(- (+ (* 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))))) |
(- (+ (* 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))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 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)))))) |
(- (+ (* -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)))))) |
(- (+ (* -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)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -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))))) |
(- (+ (* -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))))) |
(- (+ (* -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))))) |
(/ 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) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (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))))) |
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(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(- (* 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) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
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(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
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(/ (+ 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)) |
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(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
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(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
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(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 3))) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
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(- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
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(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
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(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
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(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
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(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
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(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2)) |
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(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
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(* 3/8 (* (pow r 2) w)) |
(+ (* 3/8 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))) |
(+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))) (* -3/8 (* (pow r 2) w))))) |
(+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))) (* -1 (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))))) (* -3/8 (* (pow r 2) w))))) |
(* 1/4 (* (pow r 2) w)) |
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w))) (* -1/4 (/ (* (pow r 2) w) v))) |
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 2))) (* 1/4 (* (pow r 2) w)))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 2))))) |
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 3))) (* 1/4 (* (pow r 2) w)))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) w)) (* -1/4 (* (pow r 2) w))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 3)))))) |
(* 1/4 (* (pow r 2) w)) |
(+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) w)) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) |
9/2 |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (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 w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
9/2 |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (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) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (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) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 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))))))) |
(+ 9/2 (+ (* 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))))))) |
(+ 9/2 (+ (* 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))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 9/2 (+ (* -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))) |
(- (+ 9/2 (+ (* -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))))) |
(- (+ 9/2 (+ (* -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)))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* -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))))) |
(+ 9/2 (+ (* -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))))) |
(+ 9/2 (+ (* -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) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(* (pow r 2) w) |
(+ (* (pow r 2) w) (* (pow r 2) (* v w))) |
(+ (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* (pow r 2) w)) |
(+ (* v (- (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* -1 (* (pow r 2) w)))) (* (pow r 2) w)) |
(* -1 (/ (* (pow r 2) w) v)) |
(/ (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 2)))) (/ (* (pow r 2) w) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 3)))) (+ (/ (* (pow r 2) w) v) (/ (* (pow r 2) w) (pow v 2)))) v) |
(* -1 (/ (* (pow r 2) w) v)) |
(* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
-3/2 |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(* -3/8 (* (pow r 2) (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 |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(* -3/8 (* (pow r 2) (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))))) |
(* (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)) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ -3/2 (pow w 2)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(/ -3/2 (pow w 2)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/ 2 (pow w 2)) |
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) |
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) |
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) |
(* -3/2 (/ (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/2 (/ (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/ (+ 2 (* -3/2 (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 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.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 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.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))) |
(*.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.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)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.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))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.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))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(*.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.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)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.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))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.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))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #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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(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
(* (pow r 2) w) |
(*.f64 (*.f64 r r) w) |
-3/2 |
#s(literal -3/2 binary64) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
-3/2 |
#s(literal -3/2 binary64) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 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 (*.f64 r r) (*.f64 w (*.f64 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 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 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 (*.f64 r r) (*.f64 w (*.f64 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 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 w (*.f64 (*.f64 r r) w)) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ -3/2 (pow w 2)) |
(/.f64 #s(literal -3/2 binary64) (*.f64 w w)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)) |
(/ -3/2 (pow w 2)) |
(/.f64 #s(literal -3/2 binary64) (*.f64 w w)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2))) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w))) |
(/ 2 (pow w 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 w w)) |
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
(* -3/2 (/ (pow r 2) (pow w 2))) |
(/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 w w)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(* -3/2 (/ (pow r 2) (pow w 2))) |
(/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 w w)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) |
| 1× | batch-egg-rewrite |
| 5 182× | lower-*.f32 |
| 5 162× | lower-*.f64 |
| 4 446× | lower-fma.f32 |
| 4 438× | lower-fma.f64 |
| 3 584× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 624 |
| 0 | 108 | 624 |
| 1 | 475 | 586 |
| 2 | 4527 | 586 |
| 0 | 8819 | 543 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) |
(*.f64 w w) |
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 r (*.f64 w w)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))) |
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))) |
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))) |
(*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
(fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r w) r) |
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (-.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 (*.f64 w (*.f64 (*.f64 r r) w)) (-.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) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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))) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r r) w) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal -9/2 binary64)) |
(+.f64 (-.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 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #s(literal 3 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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 w (*.f64 (/.f64 (*.f64 (*.f64 r r) w) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #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 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) (/.f64 (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))) |
(-.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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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))) #s(literal 9/2 binary64)) (*.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r r) w) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.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) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #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)))) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (-.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 #s(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 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r 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))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))) |
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(fma.f64 (/.f64 (*.f64 r r) w) (/.f64 #s(literal -3/2 binary64) w) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
(fma.f64 (/.f64 #s(literal 1 binary64) w) (/.f64 #s(literal 2 binary64) w) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)))) (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) (fma.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (-.f64 (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 w w) (*.f64 w w)))))) |
(/.f64 (fma.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))))) (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/2 binary64)))) (*.f64 (*.f64 w w) (*.f64 w w))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 w w) (*.f64 (*.f64 (*.f64 w w) #s(literal 1/2 binary64)) (*.f64 (*.f64 r r) #s(literal -3/2 binary64)))) (*.f64 (*.f64 (*.f64 w w) #s(literal 1/2 binary64)) (*.f64 w w))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 w w) (*.f64 (neg.f64 (*.f64 w w)) (*.f64 (*.f64 r r) #s(literal -3/2 binary64)))) (*.f64 (neg.f64 (*.f64 w w)) (*.f64 w w))) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) w) (*.f64 w w) (*.f64 w (*.f64 (*.f64 r r) #s(literal -3/2 binary64)))) (*.f64 w (*.f64 w w))) |
(/.f64 (fma.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) (*.f64 w w) (*.f64 (*.f64 w w) #s(literal 2 binary64))) (*.f64 (*.f64 w w) (*.f64 w w))) |
(/.f64 (fma.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) (*.f64 (*.f64 w w) #s(literal 1/2 binary64)) (*.f64 (*.f64 w w) #s(literal 1 binary64))) (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) (neg.f64 (*.f64 w w)) (*.f64 (*.f64 w w) #s(literal -2 binary64))) (*.f64 (*.f64 w w) (neg.f64 (*.f64 w w)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) w (*.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) w))) (*.f64 w (*.f64 w w))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w)))))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)))) |
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)))) (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) (fma.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w)))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)))) |
Compiled 36 768 to 1 806 computations (95.1% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 297 | 8 | 1 305 |
| Fresh | 6 | 11 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 306 | 22 | 1 328 |
| Status | Accuracy | Program |
|---|---|---|
| 55.4% | (fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64))) | |
| 48.3% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64)) | |
| 53.9% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #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)) | |
| ▶ | 48.6% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| 78.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64)) | |
| ▶ | 53.8% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
| 49.8% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) | |
| 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) | |
| ▶ | 93.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| ✓ | 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| ▶ | 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 43.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r))) | |
| ▶ | 45.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
| ✓ | 45.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 58.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) | |
| ✓ | 58.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
| 85.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 21.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))))) | |
| 37.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) | |
| 39.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) | |
| 34.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) | |
| 33.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
Compiled 991 to 569 computations (42.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 r #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) |
| ✓ | cost-diff | 0 | (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 r w) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r w) w) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 46 214× | lower-fma.f32 |
| 46 206× | lower-fma.f64 |
| 6 056× | lower-*.f32 |
| 6 038× | lower-*.f64 |
| 2 546× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 414 |
| 0 | 76 | 406 |
| 1 | 169 | 398 |
| 2 | 413 | 395 |
| 3 | 1616 | 395 |
| 4 | 4722 | 395 |
| 0 | 8056 | 382 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (*.f64 r w) w) |
(*.f64 r w) |
r |
w |
(*.f64 r #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
r |
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) |
(*.f64 r #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 w w) |
w |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
#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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
r |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (*.f64 r w) w) |
(*.f64 r (*.f64 w w)) |
(*.f64 r w) |
r |
w |
(*.f64 r #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(+.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
r |
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) |
(*.f64 r #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 w w) |
w |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -9/2 binary64))) |
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
#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 (*.f64 r w) (/.f64 (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 w (*.f64 r w)) |
(*.f64 r (*.f64 w w)) |
w |
(*.f64 r w) |
r |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 w (*.f64 r w)) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 92.6% | (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
| ✓ | accuracy | 51.4% | #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 98.6% | (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | accuracy | 94.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| ✓ | accuracy | 82.8% | (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) r) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | accuracy | 46.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 46.2% | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 r w) w) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 98.5% | (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | accuracy | 94.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 95.0ms | 256× | 0 | valid |
Compiled 368 to 47 computations (87.2% saved)
ival-mult: 50.0ms (70.2% of total)ival-div: 8.0ms (11.2% of total)ival-add: 7.0ms (9.8% of total)ival-sub: 5.0ms (7% of total)exact: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))> |
#<alt (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))> |
#<alt (*.f64 (*.f64 r w) w)> |
#<alt (*.f64 r w)> |
#<alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))> |
#<alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))> |
#<alt (*.f64 r r)> |
#<alt (/.f64 (/.f64 #s(literal 2 binary64) r) r)> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))> |
#<alt (/.f64 #s(literal 2 binary64) r)> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))> |
#<alt (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))> |
#<alt (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w))> |
#<alt (*.f64 r #s(literal -3/8 binary64))> |
#<alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))> |
#<alt (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))> |
#<alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))> |
#<alt (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))> |
#<alt (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))> |
#<alt (*.f64 w (*.f64 r w))> |
| Outputs |
|---|
#<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)))> |
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#<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)))))> |
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#<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 (- (+ (* -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)))))> |
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#<alt 3> |
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#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 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 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 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 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))> |
#<alt (+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))> |
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)> |
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))> |
#<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))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | r | @ | -inf | (* r -3/8) |
| 0.0ms | r | @ | 0 | (* (* r -3/8) (* w w)) |
| 0.0ms | r | @ | 0 | (* r -3/8) |
| 0.0ms | r | @ | -inf | (* r w) |
| 0.0ms | w | @ | -inf | (* r w) |
| 1× | egg-herbie |
| 22 136× | lower-fma.f64 |
| 22 136× | lower-fma.f32 |
| 5 164× | lower-+.f64 |
| 5 164× | lower-+.f32 |
| 5 150× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 314 | 9606 |
| 1 | 1030 | 9133 |
| 2 | 3476 | 8561 |
| 0 | 8450 | 8067 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* 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)) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 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)))))) |
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(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -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 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
(* -3/8 r) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
9/2 |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
9/2 |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
| 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 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
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3 |
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9/2 |
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(fma.f64 (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) #s(literal 9/2 binary64)) |
9/2 |
#s(literal 9/2 binary64) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 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 w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 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 w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 w (fma.f64 v w w))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(fma.f64 r (*.f64 r (*.f64 w w)) (*.f64 v (*.f64 (*.f64 r r) (*.f64 w (fma.f64 v w w))))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(fma.f64 v (fma.f64 r (*.f64 r (*.f64 w w)) (*.f64 v (*.f64 (*.f64 r r) (*.f64 w (fma.f64 v w w))))) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(*.f64 (neg.f64 (*.f64 r r)) (/.f64 (*.f64 w w) v)) |
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v) |
(neg.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 w (/.f64 w v))))) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v) |
(/.f64 (*.f64 (*.f64 r r) (-.f64 (neg.f64 (*.f64 w w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 r r) (-.f64 (neg.f64 (*.f64 w w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v) (*.f64 r (*.f64 r (*.f64 w w)))) v) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(*.f64 (neg.f64 (*.f64 r r)) (/.f64 (*.f64 w w) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(neg.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 w (/.f64 w v))))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (*.f64 (*.f64 r r) (-.f64 (neg.f64 (*.f64 w w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 r r) (-.f64 (neg.f64 (*.f64 w w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v) (*.f64 r (*.f64 r (*.f64 w w)))) v) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
| 1× | batch-egg-rewrite |
| 4 574× | lower-fma.f32 |
| 4 566× | lower-fma.f64 |
| 4 434× | lower-/.f32 |
| 4 426× | lower-/.f64 |
| 3 978× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 340 |
| 0 | 76 | 332 |
| 1 | 342 | 304 |
| 2 | 2944 | 304 |
| 0 | 8273 | 281 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (*.f64 r w) w) |
(*.f64 r w) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(/.f64 #s(literal 2 binary64) r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) |
(*.f64 r #s(literal -3/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (+ 3 (/ 2 (* r r))) #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 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 w (*.f64 r w)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))) |
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (/.f64 (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))) (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) |
(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)))) |
(fma.f64 w (*.f64 r (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 w (*.f64 (*.f64 r w) (*.f64 r #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w (*.f64 r w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
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(/.f64 (*.f64 (neg.f64 r) (*.f64 w (*.f64 r w))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (*.f64 w (*.f64 r w))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w (*.f64 r w)) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w (*.f64 r w)) (neg.f64 r))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 w (*.f64 r w)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (*.f64 w (*.f64 r w)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) |
(*.f64 r (*.f64 (*.f64 w w) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r w)))) |
(*.f64 r (/.f64 (*.f64 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 w (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 w w) (*.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 w w) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r w))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 w w) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (*.f64 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w w)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 w w)) r) |
(*.f64 (/.f64 (*.f64 r (*.f64 w (*.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 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64))) |
(*.f64 (/.f64 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 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 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (*.f64 w (*.f64 r w)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 r w) r) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w (*.f64 r r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 r w) r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w (*.f64 r r)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.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 r r) (/.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 r r) (/.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 r (/.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 r (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (/.f64 w (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w w) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w w) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) v)) (/.f64 r (/.f64 #s(literal 1 binary64) r))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(*.f64 (*.f64 r w) w) |
(*.f64 (*.f64 w w) r) |
Compiled 30 156 to 1 539 computations (94.9% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 145 | 7 | 1 152 |
| Fresh | 2 | 12 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 148 | 26 | 1 174 |
| Status | Accuracy | Program |
|---|---|---|
| 55.4% | (fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64))) | |
| ✓ | 48.6% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| 78.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64)) | |
| 53.9% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) | |
| 40.4% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| 41.8% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| 49.8% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) | |
| 38.4% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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)))) | |
| 39.0% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) | |
| 13.2% | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) | |
| 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) | |
| ✓ | 93.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| ✓ | 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 93.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| ✓ | 80.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 43.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r))) | |
| ✓ | 45.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
| ✓ | 45.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 58.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) | |
| ✓ | 58.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
| 85.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 21.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))))) | |
| 37.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) | |
| 39.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) | |
| 34.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) | |
| 33.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
Compiled 1 819 to 550 computations (69.8% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 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))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 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)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #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 -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #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 (*.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 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(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 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 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 (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)))) (/.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)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r))) |
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64))) |
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64)) |
(fma.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 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 (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)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #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)) |
6 calls:
| 22.0ms | r |
| 18.0ms | v |
| 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)) |
| 15.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | v |
| 98.0% | 1 | w |
| 98.0% | 1 | r |
| 98.0% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 98.0% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 98.0% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 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))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 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)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #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 -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
6 calls:
| 14.0ms | v |
| 13.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 13.0ms | r |
| 12.0ms | w |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | v |
| 99.5% | 2 | w |
| 99.5% | 2 | r |
| 97.9% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 97.9% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.5% | 2 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 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))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 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)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
6 calls:
| 16.0ms | w |
| 12.0ms | v |
| 12.0ms | r |
| 10.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 9.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | v |
| 98.5% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 98.5% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 94.5% | 1 | w |
| 94.5% | 1 | (*.f64 w w) |
| 98.9% | 2 | r |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
4 calls:
| 14.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 11.0ms | r |
| 9.0ms | v |
| 7.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | v |
| 94.5% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 94.5% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 94.5% | 1 | r |
Compiled 70 to 48 computations (31.4% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
6 calls:
| 8.0ms | r |
| 7.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 7.0ms | v |
| 7.0ms | w |
| 6.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 2 | w |
| 95.5% | 2 | r |
| 95.2% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 95.2% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 95.2% | 2 | (*.f64 w w) |
| 95.8% | 2 | v |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
6 calls:
| 24.0ms | v |
| 10.0ms | w |
| 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)) |
| 6.0ms | r |
| 6.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 2 | (*.f64 w w) |
| 95.6% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 95.6% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 92.9% | 2 | w |
| 92.9% | 2 | r |
| 89.9% | 3 | v |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
5 calls:
| 14.0ms | w |
| 6.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 5.0ms | r |
| 5.0ms | (*.f64 w w) |
| 5.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 2 | (*.f64 w w) |
| 71.6% | 4 | w |
| 87.4% | 3 | r |
| 92.1% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.1% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 76 to 52 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w)) |
| Outputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
2 calls:
| 4.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 4.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 90.1% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
3 calls:
| 4.0ms | v |
| 4.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 4.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 1 | v |
| 87.4% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 87.4% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 66 to 45 computations (31.8% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
2 calls:
| 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))) |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 86.8% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
5 calls:
| 13.0ms | r |
| 3.0ms | w |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 2.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 2.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 1 | (*.f64 w w) |
| 58.3% | 1 | w |
| 58.3% | 1 | r |
| 58.3% | 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)) |
| 58.3% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 76 to 52 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
6 calls:
| 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))) |
| 2.0ms | r |
| 2.0ms | w |
| 2.0ms | v |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.9% | 1 | v |
| 57.7% | 2 | r |
| 57.2% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 57.2% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 48.0% | 2 | w |
| 45.9% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
6 calls:
| 2.0ms | w |
| 1.0ms | r |
| 1.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 1.0ms | v |
| 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 |
|---|---|---|
| 13.2% | 1 | (*.f64 w w) |
| 13.2% | 1 | v |
| 13.2% | 1 | w |
| 13.2% | 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)) |
| 13.2% | 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))) |
| 13.2% | 1 | r |
Compiled 80 to 55 computations (31.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 57832900.29949549 | 213647114.2483588 |
| 3.0ms | 32× | 0 | valid |
Compiled 141 to 104 computations (26.2% saved)
ival-sub: 1.0ms (40.9% of total)ival-mult: 1.0ms (40.9% 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 |
|---|---|---|
| 10.0ms | 57832900.29949549 | 213647114.2483588 |
| 7.0ms | 64× | 0 | valid |
Compiled 260 to 178 computations (31.5% saved)
ival-mult: 3.0ms (61.1% of total)ival-div: 1.0ms (20.4% of total)ival-sub: 1.0ms (20.4% 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 |
|---|---|---|
| 21.0ms | -4.65808761640854e+79 | -2.0484444622291348e+76 |
| 16.0ms | 128× | 0 | valid |
Compiled 371 to 236 computations (36.4% saved)
ival-mult: 6.0ms (54.9% of total)ival-sub: 2.0ms (18.3% of total)ival-div: 1.0ms (9.1% of total)ival-add: 1.0ms (9.1% 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 |
|---|---|---|
| 1.0ms | -4.65808761640854e+79 | -2.0484444622291348e+76 |
Compiled 371 to 244 computations (34.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0000000000000004 |
| 0.0ms | -inf | -6.400802614063399e+292 |
Compiled 35 to 28 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0000000000000004 |
| 0.0ms | -inf | -6.400802614063399e+292 |
Compiled 35 to 28 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.1067277069518732e+25 | -1.1212063893379432e+20 |
| 0.0ms | -inf | -6.400802614063399e+292 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.1212063893379432e+20 | 3.0 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.1212063893379432e+20 | 3.0 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.11419441107840535 | 12.812490493625134 |
| 11.0ms | 112× | 0 | valid |
Compiled 168 to 126 computations (25% saved)
ival-mult: 4.0ms (47.8% of total)ival-sub: 2.0ms (23.9% of total)ival-div: 1.0ms (12% of total)ival-add: 1.0ms (12% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 402× | unsub-neg_binary64 |
| 268× | neg-mul-1_binary64 |
| 128× | *-commutative_binary64 |
| 128× | distribute-lft-neg-in_binary64 |
| 114× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1273 |
| 1 | 201 | 1273 |
| 2 | 258 | 1273 |
| 3 | 313 | 1273 |
| 4 | 381 | 1273 |
| 5 | 443 | 1273 |
| 6 | 613 | 1273 |
| 7 | 916 | 1273 |
| 8 | 1082 | 1273 |
| 9 | 1099 | 1273 |
| 10 | 1100 | 1273 |
| 1× | saturated |
| 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)) |
(if (<=.f64 r #s(literal 200000000 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 58000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(if (<=.f64 v #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 v #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) 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 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000905969664 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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 (+.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 v #s(literal -1 binary64))))) #s(literal 9/2 binary64)) |
(if (<=.f64 r #s(literal 200000000 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 200000000 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 58000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 58000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(if (<=.f64 v #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 v #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 v #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 v #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 w (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 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 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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 -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000905969664 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -10000000000000000905969664 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.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)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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 -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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 -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64)))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))) |
| 22 136× | lower-fma.f64 |
| 22 136× | lower-fma.f32 |
| 21 098× | lower-fma.f64 |
| 21 098× | lower-fma.f32 |
| 17 302× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 563 | 14076 |
| 1 | 1836 | 13235 |
| 2 | 6305 | 12934 |
| 0 | 8507 | 12081 |
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 0 | 533 | 13558 |
| 1 | 1727 | 12571 |
| 2 | 5754 | 12323 |
| 0 | 8302 | 11486 |
| 0 | 60 | 438 |
| 0 | 95 | 431 |
| 1 | 449 | 393 |
| 2 | 3973 | 393 |
| 0 | 8121 | 369 |
| 0 | 51 | 340 |
| 0 | 76 | 332 |
| 1 | 342 | 304 |
| 2 | 2944 | 304 |
| 0 | 8273 | 281 |
| 0 | 314 | 9606 |
| 1 | 1030 | 9133 |
| 2 | 3476 | 8561 |
| 0 | 8450 | 8067 |
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2574 | 3578 |
| 0 | 8209 | 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 510 to 718 computations (52.5% saved)
(abs w)
Compiled 2 250 to 750 computations (66.7% saved)
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