
Time bar (total: 15.3s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 419.0ms (51.3% of total)ival-sub: 203.0ms (24.9% of total)ival-div: 110.0ms (13.5% of total)ival-add: 58.0ms (7.1% of total)exact: 17.0ms (2.1% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 16 612× | accelerator-lowering-fma.f32 |
| 16 612× | accelerator-lowering-fma.f64 |
| 6 932× | *-lowering-*.f32 |
| 6 932× | *-lowering-*.f64 |
| 1 710× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 297 |
| 1 | 279 | 293 |
| 2 | 1049 | 273 |
| 3 | 3567 | 270 |
| 4 | 7141 | 270 |
| 0 | 22 | 29 |
| 1 | 58 | 29 |
| 2 | 170 | 25 |
| 3 | 699 | 25 |
| 4 | 3914 | 25 |
| 5 | 7892 | 25 |
| 0 | 8124 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| Outputs |
|---|
(- (- (+ 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2) |
(- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2) |
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2)) |
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2)) |
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2)) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2) |
(- (- (+ 3 (/ 2 (* v v))) (/ (* (* 1/8 (- 3 (* 2 r))) (* (* (* w w) v) v)) (- 1 r))) 9/2) |
(- (- (+ 3 (/ 2 (* w w))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r r) w) w)) (- 1 v))) 9/2) |
| Outputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2)) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2) |
(+ (/ 2 (* r r)) (+ (* (* (* w w) (* r (* 1/8 (- 3 (* v -2))))) (/ r (- -1 v))) -3/2)) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2) |
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2)) |
(- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2) |
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2)) |
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2)) |
(+ (* (* 1/8 (- 3 (* v -2))) (* (* w w) (* r (/ r (+ v 1))))) (+ (/ -2 (* r r)) 3/2)) |
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2)) |
(+ (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v)))) (+ (/ -2 (* r r)) 3/2)) |
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2)) |
(+ (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v)))) (+ (/ -2 (* r r)) 3/2)) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2) |
(+ (* (* (* r (* v v)) (/ r (- 1 w))) (* (- 3 (* 2 w)) -1/8)) (+ (/ 2 (* r r)) -3/2)) |
(- (- (+ 3 (/ 2 (* v v))) (/ (* (* 1/8 (- 3 (* 2 r))) (* (* (* w w) v) v)) (- 1 r))) 9/2) |
(+ (* (* (+ 3 (* r -2)) (* v (* v (* w w)))) (/ 1/8 (+ r -1))) (+ (/ 2 (* v v)) -3/2)) |
(- (- (+ 3 (/ 2 (* w w))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r r) w) w)) (- 1 v))) 9/2) |
(- (- -3/2 (/ -2 (* w w))) (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v))))) |
(abs w)
(abs r)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 3 | (1.5279024773041958e+44 3.9167650851097174e-160 5.665596542979794e+174) | (*.f64 (*.f64 w w) r) |
| 19 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 13 | 0 | - | 0 | - | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
| 9 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| 1 | 2 | (6.531138846929218e+147 5.67082270806764e+239 4.487133017820901e+161) | 0 | - | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9/2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1/8 binary64) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 0 | 0 | - | 0 | - | (*.f64 w w) |
| 0 | 0 | - | 0 | - | (*.f64 r r) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) v) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) v) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | w |
| 0 | 0 | - | 0 | - | r |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 w w) r) | n*o | 14 | 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 | 13 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | overflow | 62 | |
| ↳ | (*.f64 w w) | overflow | 60 | |
| ↳ | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | overflow | 74 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 61 | |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 12 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 10 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 43 | 3 |
| - | 1 | 209 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 43 | 0 | 3 |
| - | 1 | 0 | 209 |
| number | freq |
|---|---|
| 0 | 212 |
| 1 | 39 |
| 2 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 80.0ms | 512× | 0 | valid |
Compiled 360 to 92 computations (74.4% saved)
ival-mult: 34.0ms (61% of total)ival-sub: 12.0ms (21.5% of total)ival-div: 6.0ms (10.8% of total)ival-add: 2.0ms (3.6% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
Compiled 32 to 22 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 #s(literal 3 binary64) (*.f64 #s(literal 2 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× | accelerator-lowering-fma.f32 |
| 16 612× | accelerator-lowering-fma.f64 |
| 6 932× | *-lowering-*.f32 |
| 6 932× | *-lowering-*.f64 |
| 1 710× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 146 |
| 1 | 58 | 146 |
| 2 | 170 | 134 |
| 3 | 699 | 134 |
| 4 | 3914 | 134 |
| 5 | 7892 | 134 |
| 0 | 8124 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) |
(* 1/8 (- 3 (* 2 v))) |
1/8 |
(- 3 (* 2 v)) |
(* 2 v) |
v |
(* (* (* w w) r) r) |
(* (* w w) r) |
(* w w) |
w |
(- 1 v) |
1 |
9/2 |
| Outputs |
|---|
(- (- (+ 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(- (+ 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) |
(/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (-.f64 #s(literal 1 binary64) v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) |
(*.f64 w (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) |
(* 1/8 (- 3 (* 2 v))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(- 3 (* 2 v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(* 2 v) |
(fma.f64 #s(literal 2 binary64) v #s(literal 0 binary64)) |
v |
(* (* (* w w) r) r) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (* w w) r) |
(*.f64 r (*.f64 w w)) |
(* w w) |
(*.f64 w w) |
w |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
9/2 |
#s(literal 9/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 96.5% | (*.f64 (*.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 | 95.2% | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 | 92.9% | (*.f64 (*.f64 (*.f64 w w) r) r) |
| ✓ | accuracy | 87.8% | (*.f64 (*.f64 w w) r) |
| 41.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-sub: 12.0ms (41.7% of total)ival-mult: 12.0ms (41.7% of total)ival-div: 3.0ms (10.4% of total)ival-add: 1.0ms (3.5% of total)exact: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/8 (- 3 (* 2 v)))> |
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)> |
#<alt (- 3 (* 2 v))> |
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))> |
#<alt (* (* w w) r)> |
#<alt (* (* (* w w) r) r)> |
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))> |
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt 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 (/ 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 (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | r | @ | 0 | (* (* w w) r) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | v | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | v | @ | -inf | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1× | batch-egg-rewrite |
| 6 012× | *-lowering-*.f32 |
| 6 012× | *-lowering-*.f64 |
| 5 632× | accelerator-lowering-fma.f32 |
| 5 632× | accelerator-lowering-fma.f64 |
| 4 766× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 114 |
| 1 | 135 | 104 |
| 2 | 1339 | 104 |
| 0 | 8951 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/8 (- 3 (* 2 v))) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
(- 3 (* 2 v)) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
(* (* w w) r) |
(* (* (* w w) r) r) |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) |
| 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))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v))))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) (-.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 (*.f64 w w) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 r r) (*.f64 w 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 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))))) #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 w w)) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w w))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w 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))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w 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 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w 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 (*.f64 r r) (*.f64 w w))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.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 (*.f64 r r) (*.f64 w 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 (*.f64 r r) (*.f64 w w)) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #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 v))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w 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 w w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 w 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w 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 r (*.f64 w w)) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #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 v))) (/.f64 (*.f64 r (*.f64 w 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) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #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 v))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w 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) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w 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 (*.f64 r r) (*.f64 w 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 w) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 r r) (*.f64 w w))) |
(*.f64 r (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) r) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r)) |
(*.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
| 1× | egg-herbie |
| 14 382× | accelerator-lowering-fma.f32 |
| 14 382× | accelerator-lowering-fma.f64 |
| 5 144× | +-lowering-+.f64 |
| 5 144× | +-lowering-+.f32 |
| 4 118× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2581 | 3578 |
| 0 | 8219 | 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)))))) |
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))))) |
(/ 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))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/4 binary64))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/4 binary64))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/4 binary64))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.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)) #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 (*.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)) #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 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) |
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(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
Compiled 29 646 to 2 001 computations (93.3% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 591 | 24 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 592 | 24 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 80.7% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) | |
| 47.2% | (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 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) | |
| 39.4% | (fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.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)) #s(literal -3/2 binary64)) | |
| 58.1% | (/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.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)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) | |
| 55.4% | (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) | |
| 31.9% | (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) | |
| ▶ | 48.2% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 83.4% | (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 w 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)) | |
| ▶ | 76.9% | (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| 50.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 80.8% | (-.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 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 91.5% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 95.0% | (-.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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.8% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 72.8% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) | |
| ▶ | 75.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| ▶ | 80.8% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
| 58.9% | (-.f64 (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 3 binary64) (*.f64 w w))))) #s(literal 9/2 binary64)) | |
| 74.6% | (+.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))) | |
| 73.5% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) | |
| 72.8% | (+.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% | (+.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)))) | |
| 59.6% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| 58.9% | (*.f64 w (*.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
Compiled 1 230 to 832 computations (32.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 192 | (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) |
| ✓ | cost-diff | 576 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 192 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w 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 #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 r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 11 148× | accelerator-lowering-fma.f32 |
| 11 148× | accelerator-lowering-fma.f64 |
| 6 804× | *-lowering-*.f32 |
| 6 804× | *-lowering-*.f64 |
| 2 798× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 504 |
| 1 | 159 | 474 |
| 2 | 544 | 466 |
| 3 | 2169 | 466 |
| 4 | 6605 | 466 |
| 0 | 8826 | 438 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) |
(* 1/8 (- 3 (* 2 v))) |
1/8 |
(- 3 (* 2 v)) |
(* 2 v) |
v |
(* (* r w) (* r w)) |
(* r w) |
w |
(- 1 v) |
1 |
9/2 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(- (- (+ 3 (/ 2 (* r r))) (* (* r r) (* (* w w) 1/4))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (* (* r r) (* (* w w) 1/4))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(* (* r r) (* (* w w) 1/4)) |
(* (* w w) 1/4) |
(* w w) |
w |
1/4 |
9/2 |
(- (+ 3 (/ 2 (* r r))) (+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2)) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2) |
(* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) |
(* (* 1/8 (+ (* v -2) 3)) r) |
(* 1/8 (+ (* v -2) 3)) |
1/8 |
(+ (* v -2) 3) |
v |
-2 |
(* w w) |
w |
(/ r (- 1 v)) |
(- 1 v) |
1 |
9/2 |
(- (+ (* (/ 2 r) (/ 1 r)) (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)))) 9/2) |
(+ (* (/ 2 r) (/ 1 r)) (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)))) |
(/ 2 r) |
2 |
r |
(/ 1 r) |
1 |
(- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v))) |
3 |
(/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)) |
(* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) |
1/8 |
(* (+ (* v -2) 3) (* (* r r) (* w w))) |
(+ (* v -2) 3) |
v |
-2 |
(* (* r r) (* w w)) |
(* r r) |
(* w w) |
w |
(- 1 v) |
9/2 |
| Outputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2) |
(fma.f64 r (/.f64 (*.f64 w (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) |
(+.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 (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 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)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) |
(*.f64 w (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) |
(* 1/8 (- 3 (* 2 v))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(- 3 (* 2 v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(* 2 v) |
(*.f64 #s(literal 2 binary64) v) |
v |
(* (* r w) (* r w)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* r w) |
(*.f64 r w) |
w |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
9/2 |
#s(literal 9/2 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(- (- (+ 3 (/ 2 (* r r))) (* (* r r) (* (* w w) 1/4))) 9/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ 3 (/ 2 (* r r))) (* (* r r) (* (* w w) 1/4))) |
(+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(* (* r r) (* (* w w) 1/4)) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) |
(* (* w w) 1/4) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* w w) |
(*.f64 w w) |
w |
1/4 |
#s(literal 1/4 binary64) |
9/2 |
#s(literal 9/2 binary64) |
(- (+ 3 (/ 2 (* r r))) (+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2)) |
(fma.f64 r (/.f64 (*.f64 w (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2) |
(fma.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) |
(*.f64 w (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) |
(* (* 1/8 (+ (* v -2) 3)) r) |
(*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
(* 1/8 (+ (* v -2) 3)) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(+ (* v -2) 3) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
-2 |
#s(literal -2 binary64) |
(* w w) |
(*.f64 w w) |
w |
(/ r (- 1 v)) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
9/2 |
#s(literal 9/2 binary64) |
(- (+ (* (/ 2 r) (/ 1 r)) (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)))) 9/2) |
(fma.f64 r (/.f64 (*.f64 w (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(+ (* (/ 2 r) (/ 1 r)) (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)))) |
(+.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 (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64))) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
2 |
#s(literal 2 binary64) |
r |
(/ 1 r) |
(/.f64 #s(literal 1 binary64) r) |
1 |
#s(literal 1 binary64) |
(- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v))) |
(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 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)) |
(* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) |
(*.f64 w (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) |
1/8 |
#s(literal 1/8 binary64) |
(* (+ (* v -2) 3) (* (* r r) (* w w))) |
(*.f64 w (*.f64 (*.f64 w (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) r)) |
(+ (* v -2) 3) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
-2 |
#s(literal -2 binary64) |
(* (* r r) (* w w)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* r r) |
(*.f64 r r) |
(* w w) |
(*.f64 w w) |
w |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
9/2 |
#s(literal 9/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) |
| ✓ | accuracy | 96.5% | (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) |
| ✓ | accuracy | 95.2% | (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 74.7% | (*.f64 (*.f64 r r) (*.f64 w w)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 90.7% | (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 87.3% | (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 74.7% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 r w) (*.f64 r w)) |
| ✓ | accuracy | 96.5% | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) |
| ✓ | accuracy | 95.2% | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
| 109.0ms | 239× | 0 | valid |
| 8.0ms | 10× | 2 | valid |
| 4.0ms | 7× | 1 | valid |
Compiled 493 to 49 computations (90.1% saved)
ival-sub: 44.0ms (48.1% of total)ival-mult: 30.0ms (32.8% of total)ival-div: 10.0ms (10.9% of total)ival-add: 5.0ms (5.5% of total)adjust: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/8 (- 3 (* 2 v)))> |
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2)> |
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v)))> |
#<alt (- 3 (* 2 v))> |
#<alt (/ 2 (* r r))> |
#<alt (* r r)> |
#<alt (- (- (+ 3 (/ 2 (* r r))) (* (* r r) (* (* w w) 1/4))) 9/2)> |
#<alt (- (+ 3 (/ 2 (* r r))) (* (* r r) (* (* w w) 1/4)))> |
#<alt (+ 3 (/ 2 (* r r)))> |
#<alt (* 1/8 (+ (* v -2) 3))> |
#<alt (- (+ 3 (/ 2 (* r r))) (+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2))> |
#<alt (+ (* (/ 2 r) (/ 1 r)) (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v))))> |
#<alt (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w))))> |
#<alt (- (+ (* (/ 2 r) (/ 1 r)) (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)))) 9/2)> |
#<alt (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)))> |
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))> |
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w)))> |
#<alt (* (* r w) (* r w))> |
#<alt (* (* r r) (* (* w w) 1/4))> |
#<alt (* (* w w) 1/4)> |
#<alt (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w))> |
#<alt (+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2)> |
#<alt (* (* 1/8 (+ (* v -2) 3)) r)> |
#<alt (* (* r r) (* w w))> |
#<alt (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v))> |
#<alt (* (+ (* v -2) 3) (* (* r r) (* w w)))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 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 (/ 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) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 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 (* -1/4 (* (pow r 2) (pow w 2)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/4 (* (pow r 2) (pow w 2)))))) (pow r 2))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 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 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)))))> |
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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)))))> |
#<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 (* 3/8 (* (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 (/ 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 (- 3 (* 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))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (* 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 (* 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 (* 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))) (* 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)))) (+ (* 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)))) (+ (* 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 (* 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))) (* 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))) (* 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))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt 3> |
#<alt (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 3 (* -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) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (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))) (* 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))) (* 1/8 (/ (* (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 3> |
#<alt (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 3 (* -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) (- (* 3 (/ 1 (pow w 2))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (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))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 3/8 (* r (pow w 2)))> |
#<alt (+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))> |
#<alt (+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))> |
#<alt (+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))> |
#<alt (* -1/4 (* r (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))> |
#<alt (* -1/4 (* r (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -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 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 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 (* 3/8 r)> |
#<alt (+ (* -1/4 (* r v)) (* 3/8 r))> |
#<alt (+ (* -1/4 (* r v)) (* 3/8 r))> |
#<alt (+ (* -1/4 (* r v)) (* 3/8 r))> |
#<alt (* -1/4 (* r v))> |
#<alt (* v (+ (* -1/4 r) (* 3/8 (/ r v))))> |
#<alt (* v (+ (* -1/4 r) (* 3/8 (/ r v))))> |
#<alt (* v (+ (* -1/4 r) (* 3/8 (/ r v))))> |
#<alt (* -1/4 (* r v))> |
#<alt (* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 3 (* -2 v))))> |
#<alt (* 1/8 (* r (+ 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)))> |
#<alt (* 3 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -2 (* (pow r 2) (* v (pow w 2)))) (* 3 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -2 (* (pow r 2) (* v (pow w 2)))) (* 3 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -2 (* (pow r 2) (* v (pow w 2)))) (* 3 (* (pow r 2) (pow w 2))))> |
#<alt (* -2 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -2 (* (pow r 2) (pow w 2))) (* 3 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -2 (* (pow r 2) (pow w 2))) (* 3 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -2 (* (pow r 2) (pow w 2))) (* 3 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -2 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))> |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | -inf | (- (+ 3 (/ 2 (* r r))) (+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2)) |
| 1.0ms | r | @ | 0 | (- (+ 3 (/ 2 (* r r))) (+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2)) |
| 1.0ms | w | @ | 0 | (- (+ 3 (/ 2 (* r r))) (+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2)) |
| 1.0ms | r | @ | 0 | (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) |
| 1.0ms | w | @ | inf | (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) |
| 1× | batch-egg-rewrite |
| 3 810× | *-lowering-*.f32 |
| 3 810× | *-lowering-*.f64 |
| 3 702× | /-lowering-/.f32 |
| 3 702× | /-lowering-/.f64 |
| 3 430× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 352 |
| 1 | 347 | 320 |
| 2 | 3412 | 320 |
| 0 | 8320 | 289 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/8 (- 3 (* 2 v))) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) |
(- 3 (* 2 v)) |
(/ 2 (* r r)) |
(* r r) |
(- (- (+ 3 (/ 2 (* r r))) (* (* r r) (* (* w w) 1/4))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (* (* r r) (* (* w w) 1/4))) |
(+ 3 (/ 2 (* r r))) |
(* 1/8 (+ (* v -2) 3)) |
(- (+ 3 (/ 2 (* r r))) (+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2)) |
(+ (* (/ 2 r) (/ 1 r)) (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)))) |
(* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) |
(- (+ (* (/ 2 r) (/ 1 r)) (- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)))) 9/2) |
(- 3 (/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v))) |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) |
(* (* r w) (* r w)) |
(* (* r r) (* (* w w) 1/4)) |
(* (* w w) 1/4) |
(* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) |
(+ (* (* (* (* 1/8 (+ (* v -2) 3)) r) (* w w)) (/ r (- 1 v))) 9/2) |
(* (* 1/8 (+ (* v -2) 3)) r) |
(* (* r r) (* w w)) |
(/ (* 1/8 (* (+ (* v -2) 3) (* (* r r) (* w w)))) (- 1 v)) |
(* (+ (* v -2) 3) (* (* r r) (* w w))) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) |
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)) |
(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 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) v) #s(literal -2 binary64) #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 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.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 #s(literal 2 binary64) v #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 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #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 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64))) (neg.f64 (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 (neg.f64 (-.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64))) (neg.f64 (-.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 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 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 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 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 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 #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 (*.f64 r (*.f64 w w))) (-.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 (*.f64 r (*.f64 r (*.f64 w 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 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (fma.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #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 (*.f64 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) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) |
(+.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -9/2 binary64))) |
(+.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 0 binary64) r))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) |
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 r w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 r w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 r w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 w w)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) w) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v #s(literal -2 binary64)))) |
(+.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v #s(literal -2 binary64))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) |
(+.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 #s(literal 3 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v #s(literal -2 binary64)))) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v #s(literal -2 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64))) |
(fma.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal 3 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (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 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (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 (*.f64 r (*.f64 r (*.f64 w w))) (-.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 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.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)) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (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))) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.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 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (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 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))) |
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r (*.f64 r w)) (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 r r) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) |
(*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r w)) (*.f64 r w)) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w w)) (*.f64 r r)) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r w))) w) |
(*.f64 (*.f64 (*.f64 (*.f64 r r) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) w) w) |
| 1× | egg-herbie |
| 18 116× | accelerator-lowering-fma.f32 |
| 18 116× | accelerator-lowering-fma.f64 |
| 5 888× | +-lowering-+.f64 |
| 5 888× | +-lowering-+.f32 |
| 5 194× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 372 | 13303 |
| 1 | 1217 | 12601 |
| 2 | 3838 | 11693 |
| 0 | 8569 | 11011 |
| 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))))) |
(/ 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) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/4 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/4 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2)))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
3 |
(+ 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)))) |
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))) |
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(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -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)))) |
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(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
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(- (+ 3 (+ (* -1/8 (/ (- (* -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)))))) |
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(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -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)))) |
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(* 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))))) |
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(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
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(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
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(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(- 3 (* 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))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 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 (* 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 (* 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))) (* 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)))) (+ (* 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)))) (+ (* 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 (* 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))) (* 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))) (* 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))) (* 1/4 (* (pow r 2) (pow w 2)))) |
3 |
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 3 (* -1/8 (/ (* (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) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (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))) (* 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))) (* 1/8 (/ (* (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))))) |
3 |
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (* 3 (/ 1 (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))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (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))) |
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(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)) (-.f64 #s(literal 0 binary64) 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 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.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 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.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 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)))) #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 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)))) #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 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)))) #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 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (*.f64 r (*.f64 r (*.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))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 v (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 v (*.f64 v v))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) v)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w (*.f64 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 w (*.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 w (*.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 w (*.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w (*.f64 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 w (*.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 w (*.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 w (*.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 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 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 3 binary64) (*.f64 r r)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(*.f64 (*.f64 r r) (fma.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)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 r r))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(*.f64 (*.f64 r r) (fma.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)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 r r))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
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#s(literal 3 binary64) |
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#s(literal 3 binary64) |
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(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
Compiled 94 736 to 4 037 computations (95.7% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 198 | 20 | 2 218 |
| Fresh | 12 | 7 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 214 | 28 | 2 242 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | (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 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64) #s(literal -9/2 binary64))) | |
| 39.4% | (fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.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)) #s(literal -3/2 binary64)) | |
| 39.4% | (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.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)) | |
| 43.3% | (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) | |
| 48.2% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| 31.9% | (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) | |
| ✓ | 48.2% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ▶ | 74.5% | (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
| 88.9% | (-.f64 (fma.f64 r (neg.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal 1/4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| 38.6% | (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 r (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 r (*.f64 r r))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))))))) (*.f64 r (fma.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9 binary64)))) #s(literal 9/2 binary64)) | |
| 46.0% | (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) (*.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 50.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 89.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.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)) | |
| 91.5% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 92.3% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| 93.1% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) | |
| 79.4% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 9/2 binary64)) | |
| 48.6% | (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 37.7% | (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| ▶ | 97.1% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r w) (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))) |
| 34.9% | (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) | |
| 43.0% | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) | |
| 74.6% | (+.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))) | |
| 79.4% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) | |
| 85.7% | (+.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)))) | |
| ▶ | 59.6% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 55.5% | (*.f64 (*.f64 w w) (+.f64 (/.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))))) | |
| 33.6% | (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
Compiled 1 480 to 854 computations (42.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) |
| ✓ | cost-diff | 192 | (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 576 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.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))) (fma.f64 (*.f64 (*.f64 r w) (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))) |
| 17 772× | accelerator-lowering-fma.f32 |
| 17 772× | accelerator-lowering-fma.f64 |
| 4 196× | *-lowering-*.f32 |
| 4 196× | *-lowering-*.f64 |
| 3 420× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 316 |
| 1 | 131 | 310 |
| 2 | 445 | 304 |
| 3 | 1417 | 304 |
| 4 | 3138 | 304 |
| 5 | 7067 | 304 |
| 0 | 8162 | 291 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 3 (/ 2 (* r r))) (+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2)) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2) |
(* (* r w) (+ (* v -1/4) 3/8)) |
(* r w) |
w |
(+ (* v -1/4) 3/8) |
v |
-1/4 |
3/8 |
(/ (* r w) (- 1 v)) |
(- 1 v) |
1 |
9/2 |
(+ -3/2 (/ 2 (* r r))) |
-3/2 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(- (- 3 (* (* r r) (* (* w w) 1/4))) 9/2) |
(- 3 (* (* r r) (* (* w w) 1/4))) |
3 |
(* (* r r) (* (* w w) 1/4)) |
(* r r) |
r |
(* (* w w) 1/4) |
(* w w) |
w |
1/4 |
9/2 |
(- (- (+ 3 (/ 2 (* r r))) (* (* r (* r w)) (* w 1/4))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (* (* r (* r w)) (* w 1/4))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(* (* r (* r w)) (* w 1/4)) |
(* r (* r w)) |
(* r w) |
w |
(* w 1/4) |
1/4 |
9/2 |
(- (+ (* (/ 2 r) (/ 1 r)) (+ (* (* w w) (* (* r r) -3/8)) 3)) 9/2) |
(+ (* (/ 2 r) (/ 1 r)) (+ (* (* w w) (* (* r r) -3/8)) 3)) |
(/ 2 r) |
2 |
r |
(/ 1 r) |
1 |
(+ (* (* w w) (* (* r r) -3/8)) 3) |
(* w w) |
w |
(* (* r r) -3/8) |
(* r r) |
-3/8 |
3 |
9/2 |
| Outputs |
|---|
(- (+ 3 (/ 2 (* r r))) (+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 r (fma.f64 r (*.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64))) #s(literal 0 binary64))) #s(literal -3/2 binary64))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2) |
(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 w (*.f64 r (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(* (* r w) (+ (* v -1/4) 3/8)) |
(*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) |
(* r w) |
(*.f64 r w) |
w |
(+ (* v -1/4) 3/8) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
v |
-1/4 |
#s(literal -1/4 binary64) |
3/8 |
#s(literal 3/8 binary64) |
(/ (* r w) (- 1 v)) |
(/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
9/2 |
#s(literal 9/2 binary64) |
(+ -3/2 (/ 2 (* r r))) |
(-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
-3/2 |
#s(literal -3/2 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(- (- 3 (* (* r r) (* (* w w) 1/4))) 9/2) |
(fma.f64 r (fma.f64 w (*.f64 w (*.f64 r #s(literal -1/4 binary64))) #s(literal 0 binary64)) #s(literal -3/2 binary64)) |
(- 3 (* (* r r) (* (* w w) 1/4))) |
(fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -1/4 binary64))) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(* (* r r) (* (* w w) 1/4)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))) |
(* r r) |
(*.f64 r r) |
r |
(* (* w w) 1/4) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* w w) |
(*.f64 w w) |
w |
1/4 |
#s(literal 1/4 binary64) |
9/2 |
#s(literal 9/2 binary64) |
(- (- (+ 3 (/ 2 (* r r))) (* (* r (* r w)) (* w 1/4))) 9/2) |
(-.f64 #s(literal -3/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(- (+ 3 (/ 2 (* r r))) (* (* r (* r w)) (* w 1/4))) |
(-.f64 #s(literal 3 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(* (* r (* r w)) (* w 1/4)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))) |
(* r (* r w)) |
(*.f64 r (*.f64 r w)) |
(* r w) |
(*.f64 r w) |
w |
(* w 1/4) |
(*.f64 w #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
9/2 |
#s(literal 9/2 binary64) |
(- (+ (* (/ 2 r) (/ 1 r)) (+ (* (* w w) (* (* r r) -3/8)) 3)) 9/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) |
(+ (* (/ 2 r) (/ 1 r)) (+ (* (* w w) (* (* r r) -3/8)) 3)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal 3 binary64))) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
2 |
#s(literal 2 binary64) |
r |
(/ 1 r) |
(/.f64 #s(literal 1 binary64) r) |
1 |
#s(literal 1 binary64) |
(+ (* (* w w) (* (* r r) -3/8)) 3) |
(fma.f64 r (*.f64 w (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal 3 binary64)) |
(* w w) |
(*.f64 w w) |
w |
(* (* r r) -3/8) |
(*.f64 r (*.f64 r #s(literal -3/8 binary64))) |
(* r r) |
(*.f64 r r) |
-3/8 |
#s(literal -3/8 binary64) |
3 |
#s(literal 3 binary64) |
9/2 |
#s(literal 9/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 80.0% | (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 r (*.f64 r w)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 95.6% | (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 74.7% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 97.3% | (fma.f64 (*.f64 (*.f64 r w) (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)) |
| ✓ | accuracy | 96.2% | (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 r w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) |
| 78.0ms | 256× | 0 | valid |
Compiled 307 to 45 computations (85.3% saved)
ival-mult: 31.0ms (59.2% of total)ival-sub: 7.0ms (13.4% of total)ival-div: 6.0ms (11.5% of total)ival-add: 6.0ms (11.5% of total)exact: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (+ 3 (/ 2 (* r r))) (+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2))> |
#<alt (+ 3 (/ 2 (* r r)))> |
#<alt (/ 2 (* r r))> |
#<alt (* r r)> |
#<alt (+ -3/2 (/ 2 (* r r)))> |
#<alt (- (- 3 (* (* r r) (* (* w w) 1/4))) 9/2)> |
#<alt (- 3 (* (* r r) (* (* w w) 1/4)))> |
#<alt (* (* r r) (* (* w w) 1/4))> |
#<alt (- (- (+ 3 (/ 2 (* r r))) (* (* r (* r w)) (* w 1/4))) 9/2)> |
#<alt (- (+ 3 (/ 2 (* r r))) (* (* r (* r w)) (* w 1/4)))> |
#<alt (+ (* (/ 2 r) (/ 1 r)) (+ (* (* w w) (* (* r r) -3/8)) 3))> |
#<alt (- (+ (* (/ 2 r) (/ 1 r)) (+ (* (* w w) (* (* r r) -3/8)) 3)) 9/2)> |
#<alt (/ 2 r)> |
#<alt (/ 1 r)> |
#<alt (* (* r w) (+ (* v -1/4) 3/8))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2)> |
#<alt (* (* w w) 1/4)> |
#<alt (* (* r (* r w)) (* w 1/4))> |
#<alt (* r (* r w))> |
#<alt (+ (* (* w w) (* (* r r) -3/8)) 3)> |
#<alt (* (* r r) -3/8)> |
| 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 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt -3/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt -3/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt -3/2> |
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt -3/2> |
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt 3> |
#<alt (+ 3 (* -1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* -1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* -1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt 3> |
#<alt (+ 3 (* -1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* -1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* -1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/4 (pow r 2))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (* 3 (/ 1 (pow w 2))) (* 1/4 (pow r 2))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/4 (pow r 2)) (* 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 (* -1/4 (* (pow r 2) (pow w 2)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/4 (* (pow r 2) (pow w 2)))))) (pow r 2))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/4 (pow w 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/4 (pow r 2))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (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)))))> |
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 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)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 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)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* r (* w (+ 3/8 (* -1/4 v))))> |
#<alt (* 3/8 (* r w))> |
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))> |
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))> |
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))> |
#<alt (* -1/4 (* r (* v w)))> |
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))> |
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))> |
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))> |
#<alt (* -1/4 (* r (* v w)))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (* r w)> |
#<alt (+ (* r w) (* r (* v w)))> |
#<alt (+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w)))))> |
#<alt (+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w)))))> |
#<alt (* -1 (/ (* r w) v))> |
#<alt (/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)> |
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v)> |
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v)> |
#<alt (* -1 (/ (* r w) v))> |
#<alt (* -1 (/ (+ (* r w) (/ (* r w) v)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) 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> |
#<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 (* 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 (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (pow w 2))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<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> |
#<alt (+ 3 (* -3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* -3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* -3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2)))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2)))))> |
#<alt 3> |
#<alt (+ 3 (* -3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* -3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* -3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2)))))> |
#<alt (* -3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 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))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | r | @ | inf | (/ 2 r) |
| 6.0ms | w | @ | -inf | (* (* r w) (+ (* v -1/4) 3/8)) |
| 1.0ms | r | @ | inf | (* (* r w) (+ (* v -1/4) 3/8)) |
| 1.0ms | v | @ | inf | (- (+ 3 (/ 2 (* r r))) (+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2)) |
| 1.0ms | r | @ | 0 | (* (* r w) (+ (* v -1/4) 3/8)) |
| 1× | batch-egg-rewrite |
| 4 066× | /-lowering-/.f32 |
| 4 066× | /-lowering-/.f64 |
| 3 540× | *-lowering-*.f32 |
| 3 540× | *-lowering-*.f64 |
| 3 236× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 230 |
| 1 | 308 | 206 |
| 2 | 3164 | 206 |
| 0 | 8286 | 189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 3 (/ 2 (* r r))) (+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2)) |
(+ 3 (/ 2 (* r r))) |
(/ 2 (* r r)) |
(* r r) |
(+ -3/2 (/ 2 (* r r))) |
(- (- 3 (* (* r r) (* (* w w) 1/4))) 9/2) |
(- 3 (* (* r r) (* (* w w) 1/4))) |
(* (* r r) (* (* w w) 1/4)) |
(- (- (+ 3 (/ 2 (* r r))) (* (* r (* r w)) (* w 1/4))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (* (* r (* r w)) (* w 1/4))) |
(+ (* (/ 2 r) (/ 1 r)) (+ (* (* w w) (* (* r r) -3/8)) 3)) |
(- (+ (* (/ 2 r) (/ 1 r)) (+ (* (* w w) (* (* r r) -3/8)) 3)) 9/2) |
(/ 2 r) |
(/ 1 r) |
(* (* r w) (+ (* v -1/4) 3/8)) |
(/ (* r w) (- 1 v)) |
(+ (* (* (* r w) (+ (* v -1/4) 3/8)) (/ (* r w) (- 1 v))) 9/2) |
(* (* w w) 1/4) |
(* (* r (* r w)) (* w 1/4)) |
(* r (* r w)) |
(+ (* (* w w) (* (* r r) -3/8)) 3) |
(* (* r r) -3/8) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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) (-.f64 #s(literal 0 binary64) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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 #s(literal 0 binary64) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (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 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #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 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (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 (+.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 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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))) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) (/.f64 (*.f64 (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (*.f64 (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)))) (fma.f64 (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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))) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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 #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 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)))) (/.f64 (*.f64 (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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))) (fma.f64 r (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (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))) #s(literal 9/2 binary64)) (/.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v))))) (*.f64 (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)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v)))))) (/.f64 (*.f64 (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 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (*.f64 r w)))) (/.f64 (*.f64 (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64))) (*.f64 (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)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (fma.f64 (*.f64 r w) (/.f64 (*.f64 w (*.f64 r (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 (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 (*.f64 r w) (/.f64 (*.f64 w (*.f64 r (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 (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)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64))) (*.f64 (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 (*.f64 r w) (/.f64 (*.f64 w (*.f64 r (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 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v)))))) (/.f64 (*.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 r w)))) (/.f64 (*.f64 (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v))))))) |
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(pow.f64 (/.f64 (fma.f64 (*.f64 r w) (/.f64 (*.f64 w (*.f64 r (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 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (*.f64 r w)))) (/.f64 (*.f64 (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 r w) (/.f64 (*.f64 w (*.f64 r (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 w (*.f64 w #s(literal 1/4 binary64))) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 w w)) |
(*.f64 (*.f64 w #s(literal 1/4 binary64)) w) |
(*.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 1/4 binary64)))) |
(*.f64 w (*.f64 (*.f64 w #s(literal 1/4 binary64)) (*.f64 r r))) |
(*.f64 w (*.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r w)))) |
(*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 w w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))) |
(*.f64 (*.f64 w (*.f64 w #s(literal 1/4 binary64))) (*.f64 r r)) |
(*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64))) |
(*.f64 (*.f64 w #s(literal 1/4 binary64)) (*.f64 r (*.f64 r w))) |
(*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal 1/4 binary64)))) r) |
(*.f64 (*.f64 (*.f64 r (*.f64 r w)) #s(literal 1/4 binary64)) w) |
(*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w)) |
(*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) (*.f64 r r)) w) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) (*.f64 w w)) |
(*.f64 r (*.f64 r w)) |
(*.f64 (*.f64 r r) w) |
(*.f64 w (*.f64 r r)) |
(*.f64 (*.f64 r w) r) |
(+.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))) |
(+.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w))))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))) (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w))))) (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))))) |
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3 binary64)) |
(fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r (*.f64 r w))) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) (*.f64 w w) #s(literal 3 binary64)) |
(fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -3/8 binary64) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) w #s(literal 3 binary64)) |
(fma.f64 (*.f64 (*.f64 w w) r) (*.f64 r #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (*.f64 r r) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal 9 binary64)) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64))) (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal 9 binary64)) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64))) (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64))))) |
(/.f64 (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64)) (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal 9 binary64)) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64)))) |
(/.f64 (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w))))) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64))))) |
(/.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64)) (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal 9 binary64)) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w))))) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64))) (neg.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))))) (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal 9 binary64)) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w))))))) (neg.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal 9 binary64)) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64))) (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -27/512 binary64))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal 9 binary64)) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -9/8 binary64))))) |
(*.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)))) |
(*.f64 r (*.f64 r #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r r)) |
(*.f64 (*.f64 r #s(literal -3/8 binary64)) r) |
| 1× | egg-herbie |
| 29 974× | accelerator-lowering-fma.f32 |
| 29 974× | accelerator-lowering-fma.f64 |
| 5 684× | +-lowering-+.f64 |
| 5 684× | +-lowering-+.f32 |
| 4 840× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 6072 |
| 1 | 992 | 5922 |
| 2 | 3261 | 5501 |
| 0 | 8190 | 5184 |
| 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))))) |
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3 |
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3 |
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(/ 2 r) |
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9/2 |
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9/2 |
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(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 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))))) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (pow w 2)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(* (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 |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
3 |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 2)) |
(* -3/8 (pow r 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 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.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 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.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 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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) |
(+.f64 (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #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) |
(+.f64 (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #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) |
(+.f64 (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #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))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) 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))))) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))) |
(* (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))))) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))) |
(* (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))))) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.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 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) 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))))) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))) |
(* (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))))) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))) |
(* (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))))) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 #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))) (* 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))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* 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))))) |
(+.f64 (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64))) (/.f64 #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 (- (+ (* -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))))) |
(fma.f64 v (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (fma.f64 (+.f64 v #s(literal 1 binary64)) v #s(literal 1 binary64)))) (+.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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/4 (/ (* (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)))))) |
(-.f64 (fma.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) #s(literal 3/2 binary64))) |
(- (+ (* -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)))))) |
(-.f64 (fma.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v v)) #s(literal 1/8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) #s(literal 3/2 binary64))) |
(- (+ (* -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)))))) |
(-.f64 (-.f64 (fma.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v v)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) v)))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1 (/ (- (* 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))))) |
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(- (+ 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))))) |
(+.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal -3/8 binary64) (*.f64 v v)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) v)) #s(literal 9/2 binary64))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) (*.f64 v v))) |
(- (+ 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)))))) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal -1/8 binary64) (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w (*.f64 v v))))) (fma.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 v v))) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)) |
(+ 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))))) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) v)) #s(literal 9/2 binary64)) |
(+ 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))))) |
(+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) v))) v) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))) |
(+ 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))))) |
(+.f64 (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)) (/.f64 (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) v))) v)) v)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (pow w 2)) |
(*.f64 (*.f64 w w) #s(literal 1/4 binary64)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 3 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal 3 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
(* -3/8 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal -3/8 binary64)) |
Compiled 46 256 to 2 701 computations (94.2% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 400 | 20 | 1 420 |
| Fresh | 15 | 7 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 419 | 29 | 1 448 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.2% | (fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64)) |
| 36.4% | (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) | |
| 39.1% | (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) | |
| 15.8% | (/.f64 (fma.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal -81/4 binary64)) (-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal -9/2 binary64))) | |
| ▶ | 48.2% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | 48.2% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 74.6% | (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (pow.f64 (*.f64 r r) #s(literal -1/2 binary64)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| 89.7% | (-.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) w (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| 44.9% | (-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) | |
| 47.3% | (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64)) (*.f64 r r) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 50.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 83.2% | (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) | |
| ▶ | 91.5% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 48.6% | (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 45.8% | (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) | |
| 81.8% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 w #s(literal 3/8 binary64))) (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) | |
| 43.0% | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) | |
| 50.4% | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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))) | |
| 34.4% | (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) | |
| ▶ | 79.4% | (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
| 79.4% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) | |
| 85.7% | (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| 84.6% | (+.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)))) | |
| ✓ | 59.6% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 21.7% | (*.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 31.2% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) | |
| 29.5% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) | |
| 33.6% | (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) | |
| ▶ | 12.5% | #s(literal -3/2 binary64) |
Compiled 1 122 to 724 computations (35.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 r #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
| ✓ | cost-diff | 0 | (*.f64 w w) |
| ✓ | cost-diff | 512 | (fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 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 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | 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 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 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 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 13 798× | accelerator-lowering-fma.f32 |
| 13 798× | accelerator-lowering-fma.f64 |
| 8 012× | *-lowering-*.f32 |
| 8 012× | *-lowering-*.f64 |
| 4 058× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 279 |
| 1 | 104 | 279 |
| 2 | 300 | 267 |
| 3 | 1110 | 267 |
| 4 | 3637 | 267 |
| 0 | 9163 | 255 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) |
(* 1/8 (- 3 (* 2 v))) |
1/8 |
(- 3 (* 2 v)) |
(* 2 v) |
v |
(* (* (* r w) w) r) |
(* (* r w) w) |
(* r w) |
w |
(- 1 v) |
1 |
9/2 |
-3/2 |
(/ (/ 2 r) r) |
(/ 2 r) |
2 |
r |
(+ (+ (* r (* (* r -3/8) (* w w))) (/ 2 (* r r))) -3/2) |
(+ (* r (* (* r -3/8) (* w w))) (/ 2 (* r r))) |
r |
(* (* r -3/8) (* w w)) |
(* r -3/8) |
-3/8 |
(* w w) |
w |
(/ 2 (* r r)) |
2 |
(* r r) |
-3/2 |
(+ (* (* w w) (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))) -3/2) |
(* w w) |
w |
(+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w))))) |
r |
(* r -3/8) |
-3/8 |
(/ 2 (* r (* r (* w w)))) |
2 |
(* r (* r (* w w))) |
(* r (* w w)) |
-3/2 |
| Outputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (*.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (*.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)) |
(/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (-.f64 #s(literal 1 binary64) v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) |
(*.f64 w (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) |
(* 1/8 (- 3 (* 2 v))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(- 3 (* 2 v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(* 2 v) |
(fma.f64 #s(literal 2 binary64) v #s(literal 0 binary64)) |
v |
(* (* (* r w) w) r) |
(*.f64 w (*.f64 r (*.f64 r w))) |
(* (* r w) w) |
(*.f64 r (*.f64 w w)) |
(* r w) |
(*.f64 r w) |
w |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
9/2 |
#s(literal 9/2 binary64) |
-3/2 |
#s(literal -3/2 binary64) |
(/ (/ 2 r) r) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
2 |
#s(literal 2 binary64) |
r |
(+ (+ (* r (* (* r -3/8) (* w w))) (/ 2 (* r r))) -3/2) |
(+.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))) |
(+ (* r (* (* r -3/8) (* w w))) (/ 2 (* r r))) |
(fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
r |
(* (* r -3/8) (* w w)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) |
(* r -3/8) |
(*.f64 r #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
(* w w) |
(*.f64 w w) |
w |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
-3/2 |
#s(literal -3/2 binary64) |
(+ (* (* w w) (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))) -3/2) |
(+.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))) |
(* w w) |
(*.f64 w w) |
w |
(+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w))))) |
(fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w))))) |
r |
(* r -3/8) |
(*.f64 r #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
(/ 2 (* r (* r (* w w)))) |
(/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w)))) |
2 |
#s(literal 2 binary64) |
(* r (* r (* w w))) |
(*.f64 w (*.f64 r (*.f64 r w))) |
(* r (* w w)) |
(*.f64 r (*.f64 w w)) |
-3/2 |
#s(literal -3/2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
| ✓ | accuracy | 92.9% | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | accuracy | 87.8% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 70.5% | (fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 r #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 94.1% | (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | accuracy | 87.7% | (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) r) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.5% | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) |
| ✓ | accuracy | 95.2% | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 92.9% | (*.f64 (*.f64 (*.f64 r w) w) r) |
| 69.0ms | 256× | 0 | valid |
Compiled 280 to 41 computations (85.4% saved)
ival-mult: 29.0ms (61.2% of total)ival-div: 8.0ms (16.9% of total)ival-add: 5.0ms (10.6% of total)ival-sub: 4.0ms (8.4% of total)exact: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/8 (- 3 (* 2 v)))> |
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2)> |
#<alt (- 3 (* 2 v))> |
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)))> |
#<alt (/ (/ 2 r) r)> |
#<alt (/ 2 r)> |
#<alt (+ (+ (* r (* (* r -3/8) (* w w))) (/ 2 (* r r))) -3/2)> |
#<alt (+ (* r (* (* r -3/8) (* w w))) (/ 2 (* r r)))> |
#<alt (* (* r -3/8) (* w w))> |
#<alt (* r -3/8)> |
#<alt (+ (* (* w w) (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))) -3/2)> |
#<alt (* w w)> |
#<alt (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))> |
#<alt (* (* (* r w) w) r)> |
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))> |
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r))> |
#<alt (/ 2 (* r r))> |
#<alt (* r (* w w))> |
#<alt (* r (* r (* w w)))> |
#<alt (/ 2 (* r (* r (* w w))))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 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 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 (/ 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))))> |
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#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (/ 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 (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
#<alt (/ 2 (* (pow r 2) (pow w 2)))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | (+ (* (* w w) (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))) -3/2) |
| 1.0ms | w | @ | 0 | (+ (* (* w w) (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))) -3/2) |
| 0.0ms | r | @ | inf | (+ (* (* w w) (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))) -3/2) |
| 0.0ms | r | @ | 0 | (/ 2 (* r (* r (* w w)))) |
| 0.0ms | w | @ | inf | (+ (* (* w w) (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))) -3/2) |
| 1× | batch-egg-rewrite |
| 4 942× | accelerator-lowering-fma.f32 |
| 4 942× | accelerator-lowering-fma.f64 |
| 4 822× | /-lowering-/.f32 |
| 4 822× | /-lowering-/.f64 |
| 4 370× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 224 |
| 1 | 246 | 202 |
| 2 | 2430 | 202 |
| 0 | 8111 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/8 (- 3 (* 2 v))) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2) |
(- 3 (* 2 v)) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) |
(/ (/ 2 r) r) |
(/ 2 r) |
(+ (+ (* r (* (* r -3/8) (* w w))) (/ 2 (* r r))) -3/2) |
(+ (* r (* (* r -3/8) (* w w))) (/ 2 (* r r))) |
(* (* r -3/8) (* w w)) |
(* r -3/8) |
(+ (* (* w w) (+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w)))))) -3/2) |
(* w w) |
(+ (* r (* r -3/8)) (/ 2 (* r (* r (* w w))))) |
(* (* (* r w) w) r) |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) |
(/ 2 (* r r)) |
(* r (* w w)) |
(* r (* r (* w w))) |
(/ 2 (* r (* r (* w w)))) |
| 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 #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 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) 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 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64)) |
(+.f64 #s(literal -9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w 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 (*.f64 r r) (*.f64 (*.f64 w w) (*.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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) |
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(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.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 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r r)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w w) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #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 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 (*.f64 r (*.f64 r (*.f64 w 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) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w 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 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 r r) (neg.f64 (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w 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 r (*.f64 w w)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (-.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 r (*.f64 r (*.f64 w w))) (-.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 r (*.f64 w w))))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) r) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r w)) (*.f64 r w)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r r)) (*.f64 w w)) |
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 r (*.f64 r #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) r)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (*.f64 r #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 r (*.f64 r #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 (/.f64 #s(literal 2 binary64) r) (neg.f64 (-.f64 #s(literal 0 binary64) r))) |
(/.f64 (/.f64 #s(literal -2 binary64) r) (-.f64 #s(literal 0 binary64) r)) |
(/.f64 (/.f64 #s(literal -2 binary64) r) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r r))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r))))) |
(/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 r (*.f64 r #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 r (*.f64 r #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 1 binary64)) r) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) (neg.f64 (*.f64 r #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) r)) |
(pow.f64 (*.f64 r (*.f64 r #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 r (*.f64 r #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (/.f64 r #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(*.f64 (*.f64 r w) w) |
(*.f64 (*.f64 w w) r) |
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 w (*.f64 r (*.f64 r w))) |
(*.f64 w (*.f64 (*.f64 r w) r)) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(*.f64 (*.f64 r (*.f64 w w)) r) |
(*.f64 (*.f64 r (*.f64 r w)) w) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(*.f64 (*.f64 (*.f64 r w) r) w) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 r (*.f64 w w)))) (/.f64 (/.f64 #s(literal 2 binary64) r) (neg.f64 (*.f64 r (*.f64 w w))))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 r r) (neg.f64 (*.f64 w w))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 w w) #s(literal 1 binary64)) (*.f64 r (*.f64 r #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r (*.f64 w w))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) (neg.f64 (neg.f64 (*.f64 r (*.f64 w w))))) |
(/.f64 (/.f64 #s(literal -2 binary64) r) (neg.f64 (*.f64 r (*.f64 w w)))) |
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 r r) (neg.f64 (*.f64 w w)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 r r) (neg.f64 (*.f64 w w)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 w w) #s(literal 1 binary64)) (*.f64 r (*.f64 r #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r w)) (*.f64 r w)) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (*.f64 w w))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 w w))) r) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) w) (*.f64 r w)) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r w)) w) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 w w)) r) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 r w))) (neg.f64 (*.f64 r w))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 0 binary64) r)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) w)) (neg.f64 (*.f64 r w))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r w))) (neg.f64 w)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 w w))) (-.f64 #s(literal 0 binary64) r)) |
(pow.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 w w) #s(literal 1 binary64)) (*.f64 r (*.f64 r #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w w))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 w w)))) |
(*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r)) (*.f64 w w))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) (neg.f64 (*.f64 w w))))) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 w w))) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (/.f64 (*.f64 r (*.f64 w w)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (pow.f64 (/.f64 (*.f64 w w) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w w)) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 #s(literal 2 binary64) w) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r w))) |
(*.f64 (/.f64 #s(literal 2 binary64) w) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) w)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r w)) (/.f64 #s(literal 2 binary64) w)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r w)) (/.f64 (/.f64 #s(literal 1 binary64) r) w)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) w) (/.f64 #s(literal 2 binary64) (*.f64 r w))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) w) (/.f64 (/.f64 #s(literal 2 binary64) r) w)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 w w))) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r w)) (/.f64 (/.f64 #s(literal 2 binary64) r) w)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r w)) (pow.f64 (/.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) w) (/.f64 (/.f64 #s(literal 1 binary64) r) w)) |
(*.f64 (/.f64 #s(literal 1 binary64) w) (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r w))) |
(*.f64 (/.f64 #s(literal 1 binary64) w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) w) (/.f64 #s(literal 2 binary64) w)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) w) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r)) w)) |
(*.f64 (/.f64 #s(literal -2 binary64) w) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r r))) w)) |
(*.f64 (/.f64 #s(literal -2 binary64) w) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r)) (*.f64 r w))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 r w)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r)) w)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 w w)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r)) r)) |
| 1× | egg-herbie |
| 16 068× | accelerator-lowering-fma.f32 |
| 16 068× | accelerator-lowering-fma.f64 |
| 5 172× | +-lowering-+.f64 |
| 5 172× | +-lowering-+.f32 |
| 4 316× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 6290 |
| 1 | 855 | 6126 |
| 2 | 2843 | 5802 |
| 0 | 8343 | 5535 |
| 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)))))) |
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))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(/ 2 (pow r 2)) |
(/ 2 (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 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(/ 2 (pow r 2)) |
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -3/8 (* 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) |
(- (* 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) (- (* -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))))) |
(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))) |
(/ (+ (* -3/8 (pow r 4)) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* -3/8 (pow r 4)) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* -3/8 (pow r 4)) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(* -3/8 (pow r 2)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 4) (pow w 2)))) 3/8)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 4) (pow w 2)))) 3/8)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 4) (pow w 2)))) 3/8)) |
(* -3/8 (pow r 2)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 4) (pow w 2)))) 3/8)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 4) (pow w 2)))) 3/8)) |
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 4) (pow w 2)))) 3/8)) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) (pow w 2)) |
(/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) (pow w 2)) |
(/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) (pow w 2)) |
(* -3/8 (pow r 2)) |
(+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) |
(+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) |
(+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) |
(* -3/8 (pow r 2)) |
(+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) |
(+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) |
(+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(/ 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)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ 2 (* (pow r 2) (pow w 2))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/4 binary64))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/4 binary64))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/4 binary64))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.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 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w 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 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w 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)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 #s(literal -3/2 binary64) (/.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 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(fma.f64 v (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) v)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (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 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 0 binary64) (*.f64 w w))) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) v)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) v)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
Compiled 38 625 to 2 655 computations (93.1% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 216 | 8 | 1 224 |
| Fresh | 6 | 16 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 225 | 28 | 1 253 |
| Status | Accuracy | Program |
|---|---|---|
| 84.6% | (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) | |
| 27.0% | (fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) | |
| 36.4% | (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) | |
| 79.4% | (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) | |
| 91.3% | (fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) | |
| 39.1% | (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) | |
| 15.8% | (/.f64 (fma.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal -81/4 binary64)) (-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal -9/2 binary64))) | |
| ✓ | 48.2% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | 48.2% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 74.6% | (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (pow.f64 (*.f64 r r) #s(literal -1/2 binary64)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| 44.9% | (-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) | |
| 47.3% | (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64)) (*.f64 r r) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 50.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 77.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 48.6% | (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 45.8% | (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) | |
| 43.0% | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) | |
| 50.4% | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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))) | |
| 34.4% | (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) | |
| 87.0% | (+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) | |
| 79.4% | (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) #s(literal -3/2 binary64)) | |
| 85.7% | (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| ✓ | 59.6% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 21.7% | (*.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 31.2% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) | |
| 29.5% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) | |
| 33.6% | (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) | |
| ✓ | 12.5% | #s(literal -3/2 binary64) |
Compiled 2 137 to 645 computations (69.8% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(+.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 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) w (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 r (neg.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal 1/4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.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)) #s(literal -3/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.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 (*.f64 r (*.f64 w #s(literal 3/8 binary64))) (/.f64 (*.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 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 r w) 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 (*.f64 r w) (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 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.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 (*.f64 w w) (+.f64 (/.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))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 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 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.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)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal -81/4 binary64)) (-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 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 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64) #s(literal -9/2 binary64))) |
(*.f64 w (*.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(-.f64 (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 3 binary64) (*.f64 w w))))) #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 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) (*.f64 w (*.f64 r (*.f64 r w)))) #s(literal -9 binary64)) (*.f64 r r) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (pow.f64 (*.f64 r r) #s(literal -1/2 binary64)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) (*.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 r (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 (*.f64 w w) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (*.f64 r (*.f64 r r))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))))))) (*.f64 r (fma.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9 binary64)))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
6 calls:
| 25.0ms | w |
| 21.0ms | v |
| 21.0ms | r |
| 19.0ms | (*.f64 w w) |
| 18.0ms | (-.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 |
|---|---|---|
| 97.1% | 1 | v |
| 97.1% | 1 | w |
| 97.1% | 1 | r |
| 99.1% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 99.1% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 97.1% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(+.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 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) w (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 r (neg.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal 1/4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.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)) #s(literal -3/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.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 (*.f64 r (*.f64 w #s(literal 3/8 binary64))) (/.f64 (*.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 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 r w) 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 (*.f64 r w) (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 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.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 (*.f64 w w) (+.f64 (/.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))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 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 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r w) (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))) |
4 calls:
| 29.0ms | w |
| 18.0ms | v |
| 17.0ms | r |
| 16.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | v |
| 97.1% | 1 | w |
| 97.1% | 1 | r |
| 97.1% | 1 | (*.f64 w w) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(+.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 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) w (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 r (neg.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal 1/4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.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)) #s(literal -3/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.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 (*.f64 r (*.f64 w #s(literal 3/8 binary64))) (/.f64 (*.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 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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))) |
4 calls:
| 24.0ms | w |
| 20.0ms | v |
| 15.0ms | (*.f64 w w) |
| 13.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | v |
| 93.1% | 1 | w |
| 98.6% | 2 | r |
| 93.1% | 1 | (*.f64 w w) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(+.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 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) w (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
2 calls:
| 11.0ms | v |
| 9.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 3 | v |
| 96.4% | 3 | r |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(+.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 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) w (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
3 calls:
| 15.0ms | w |
| 12.0ms | r |
| 8.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 2 | w |
| 93.0% | 2 | (*.f64 w w) |
| 93.4% | 2 | r |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(+.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 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
1 calls:
| 16.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(+.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 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
2 calls:
| 26.0ms | v |
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 3 | v |
| 94.8% | 3 | r |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
1 calls:
| 6.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 3 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(fma.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)) |
3 calls:
| 35.0ms | (*.f64 w w) |
| 5.0ms | w |
| 5.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 2 | w |
| 67.6% | 2 | (*.f64 w w) |
| 88.5% | 2 | r |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64)) |
1 calls:
| 5.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(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) r) r) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
2 calls:
| 16.0ms | r |
| 4.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 2 | v |
| 86.2% | 2 | r |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)) |
1 calls:
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
1 calls:
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#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 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 calls:
| 2.0ms | w |
| 2.0ms | v |
| 2.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.6% | 1 | v |
| 59.6% | 1 | w |
| 59.6% | 1 | r |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal -3/2 binary64) |
3 calls:
| 2.0ms | w |
| 2.0ms | v |
| 2.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | v |
| 59.2% | 2 | r |
| 48.2% | 1 | w |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -3/2 binary64) |
| Outputs |
|---|
#s(literal -3/2 binary64) |
3 calls:
| 1.0ms | r |
| 1.0ms | v |
| 1.0ms | w |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.5% | 1 | w |
| 12.5% | 1 | v |
| 12.5% | 1 | r |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -3.188532123936574e+282 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 9.336279941716116 | 3504347.964528661 |
| 16.0ms | 144× | 0 | valid |
Compiled 422 to 289 computations (31.5% saved)
ival-mult: 7.0ms (57.5% of total)ival-div: 2.0ms (16.4% of total)ival-sub: 2.0ms (16.4% of total)ival-add: 1.0ms (8.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 5.0406915882279e+146 | 6.2330763618524516e+147 |
| 54.0ms | 9.336279941716116 | 3504347.964528661 |
| 50.0ms | 160× | 0 | valid |
Compiled 452 to 318 computations (29.6% saved)
ival-mult: 6.0ms (51.1% of total)ival-sub: 3.0ms (25.6% of total)ival-div: 2.0ms (17% of total)ival-add: 1.0ms (8.5% 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 |
|---|---|---|
| 69.0ms | 0.055524576612826775 | 9.336279941716116 |
| 11.0ms | 112× | 0 | valid |
Compiled 315 to 217 computations (31.1% saved)
ival-mult: 4.0ms (48.2% of total)ival-sub: 2.0ms (24.1% of total)ival-div: 1.0ms (12.1% of total)ival-add: 1.0ms (12.1% 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 |
|---|---|---|
| 18.0ms | 0.055524576612826775 | 9.336279941716116 |
| 11.0ms | 112× | 0 | valid |
Compiled 315 to 217 computations (31.1% saved)
ival-mult: 4.0ms (47.9% of total)ival-sub: 2.0ms (24% of total)ival-div: 1.0ms (12% of total)ival-add: 1.0ms (12% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.0472519591259515e+81 | 6.568277095949526e+82 |
| 17.0ms | 0.055524576612826775 | 9.336279941716116 |
| 24.0ms | 224× | 0 | valid |
Compiled 574 to 406 computations (29.3% saved)
ival-mult: 10.0ms (54.9% of total)ival-sub: 4.0ms (22% of total)ival-div: 3.0ms (16.5% of total)ival-add: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.0472519591259515e+81 | 6.568277095949526e+82 |
| 22.0ms | 9.336279941716116 | 3504347.964528661 |
| 29.0ms | 256× | 0 | valid |
Compiled 558 to 396 computations (29% saved)
ival-mult: 10.0ms (49.9% of total)ival-sub: 4.0ms (20% of total)ival-div: 3.0ms (15% of total)ival-add: 2.0ms (10% of total)exact: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 5.0453696256181916e-23 | 8.870170543739199e-18 |
| 17.0ms | 144× | 0 | valid |
Compiled 269 to 208 computations (22.7% saved)
ival-mult: 5.0ms (47.5% of total)ival-div: 2.0ms (19% of total)ival-sub: 2.0ms (19% of total)ival-add: 1.0ms (9.5% 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 |
|---|---|---|
| 14.0ms | 4.9444680365869024e-24 | 2.6040384435825168e-23 |
| 11.0ms | 96× | 0 | valid |
Compiled 185 to 142 computations (23.2% saved)
ival-mult: 4.0ms (49.8% of total)ival-sub: 3.0ms (37.4% of total)ival-div: 1.0ms (12.5% 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 |
|---|---|---|
| 14.0ms | 4.9444680365869024e-24 | 2.6040384435825168e-23 |
| 11.0ms | 96× | 0 | valid |
Compiled 173 to 130 computations (24.9% saved)
ival-mult: 4.0ms (56.1% of total)ival-sub: 2.0ms (28.1% of total)ival-div: 1.0ms (14% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.9444680365869024e-24 | 2.6040384435825168e-23 |
| 10.0ms | 96× | 0 | valid |
Compiled 173 to 130 computations (24.9% saved)
ival-mult: 4.0ms (56.7% of total)ival-sub: 2.0ms (28.4% of total)ival-div: 1.0ms (14.2% 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 |
|---|---|---|
| 15.0ms | 4.9444680365869024e-24 | 2.6040384435825168e-23 |
| 9.0ms | 96× | 0 | valid |
Compiled 167 to 124 computations (25.7% saved)
ival-mult: 3.0ms (43.7% of total)ival-sub: 2.0ms (29.2% of total)ival-div: 1.0ms (14.6% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.7176884065273762e-5 | 0.055524576612826775 |
| 14.0ms | 128× | 0 | valid |
Compiled 147 to 124 computations (15.6% saved)
ival-mult: 5.0ms (46% of total)ival-div: 3.0ms (27.6% of total)ival-sub: 2.0ms (18.4% of total)ival-add: 1.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 426× | unsub-neg_binary64 |
| 282× | neg-mul-1_binary64 |
| 148× | distribute-lft-neg-in_binary64 |
| 134× | distribute-rgt-neg-in_binary64 |
| 124× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 484 |
| 1 | 191 | 484 |
| 2 | 269 | 484 |
| 3 | 334 | 484 |
| 4 | 397 | 484 |
| 5 | 457 | 484 |
| 6 | 630 | 484 |
| 7 | 949 | 484 |
| 8 | 1120 | 484 |
| 9 | 1136 | 484 |
| 10 | 1137 | 484 |
| 1× | saturated |
| Inputs |
|---|
(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 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r w) (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))) |
(if (<=.f64 r #s(literal 1100 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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)))) |
(if (<=.f64 r #s(literal 460000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 3/4 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(if (<=.f64 r #s(literal 7385903388887613/18014398509481984 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 4278419646001971/562949953421312 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 1650000000000000007021080996972884231487016349719215370050121090516900475513602048 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 460000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 3700000000000000066804747287057830918082656145998450135940317791122315613847945216 binary64)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 2855763272194155/324518553658426726783156020576256 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 1658876538739575/85070591730234615865843651857942052864 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 2892400118827977/170141183460469231731687303715884105728 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7826494439181585/340282366920938463463374607431768211456 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7316070888800177/340282366920938463463374607431768211456 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(if (<=.f64 r #s(literal 7926335344172073/144115188075855872 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
| Outputs |
|---|
(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 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(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 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #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) (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))) |
(if (<=.f64 r #s(literal 1100 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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)))) |
(if (<=.f64 r #s(literal 1100 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 r w) (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)))) |
(if (<=.f64 r #s(literal 460000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.f64 (neg.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 460000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) w)) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 3/4 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(if (<=.f64 r #s(literal 3/4 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
(if (<=.f64 r #s(literal 7385903388887613/18014398509481984 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7385903388887613/18014398509481984 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 w (*.f64 r (*.f64 w #s(literal -3/8 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(if (<=.f64 r #s(literal 4278419646001971/562949953421312 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 1650000000000000007021080996972884231487016349719215370050121090516900475513602048 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 4278419646001971/562949953421312 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 1650000000000000007021080996972884231487016349719215370050121090516900475513602048 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 460000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 3700000000000000066804747287057830918082656145998450135940317791122315613847945216 binary64)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 460000 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 r #s(literal 3700000000000000066804747287057830918082656145998450135940317791122315613847945216 binary64)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 2855763272194155/324518553658426726783156020576256 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 w #s(literal 1/4 binary64)) r) (*.f64 r w))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 2855763272194155/324518553658426726783156020576256 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 1658876538739575/85070591730234615865843651857942052864 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (-.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal -1/4 binary64) #s(literal 3 binary64)) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 2892400118827977/170141183460469231731687303715884105728 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7826494439181585/340282366920938463463374607431768211456 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))) |
(if (<=.f64 r #s(literal 7316070888800177/340282366920938463463374607431768211456 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
(if (<=.f64 r #s(literal 7926335344172073/144115188075855872 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
| 29 974× | accelerator-lowering-fma.f32 |
| 29 974× | accelerator-lowering-fma.f64 |
| 18 116× | accelerator-lowering-fma.f32 |
| 18 116× | accelerator-lowering-fma.f64 |
| 14 382× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 230 |
| 1 | 308 | 206 |
| 2 | 3164 | 206 |
| 0 | 8286 | 189 |
| 0 | 305 | 6072 |
| 1 | 992 | 5922 |
| 2 | 3261 | 5501 |
| 0 | 8190 | 5184 |
| 0 | 39 | 224 |
| 1 | 246 | 202 |
| 2 | 2430 | 202 |
| 0 | 8111 | 186 |
| 0 | 372 | 13303 |
| 1 | 1217 | 12601 |
| 2 | 3838 | 11693 |
| 0 | 8569 | 11011 |
| 0 | 47 | 352 |
| 1 | 347 | 320 |
| 2 | 3412 | 320 |
| 0 | 8320 | 289 |
| 0 | 22 | 114 |
| 1 | 135 | 104 |
| 2 | 1339 | 104 |
| 0 | 8951 | 94 |
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2581 | 3578 |
| 0 | 8219 | 3390 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 279 to 707 computations (44.7% saved)
(abs r)
(abs w)
Compiled 1 672 to 580 computations (65.3% saved)
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