
Time bar (total: 13.6s)
| 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)
| 1.0s | 8 256× | 0 | valid |
ival-mult: 361.0ms (44.5% of total)ival-sub: 261.0ms (32.1% of total)ival-div: 119.0ms (14.7% of total)ival-add: 45.0ms (5.5% 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 |
|---|---|---|---|---|---|
| 26 | 0 | - | 1 | (4.207005115976495e+292 6.751277042823123e-160 1.9714478106096411e+251) | (*.f64 (*.f64 w w) r) |
| 18 | 0 | - | 3 | (1.9745156099362515e+132 7.744045842001778e-201 9.696955262652792e+86) | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 18 | 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)) |
| 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)) |
| 2 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9/2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1/8 binary64) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 0 | 0 | - | 0 | - | (*.f64 w w) |
| 0 | 0 | - | 0 | - | (*.f64 r r) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) v) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) v) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | w |
| 0 | 0 | - | 0 | - | r |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 | 65 | |
| ↳ | (*.f64 w w) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | overflow | 90 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 77 | |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 11 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*o | 11 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 8 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 0 |
| - | 0 | 219 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 0 |
| - | 0 | 0 | 219 |
| number | freq |
|---|---|
| 0 | 219 |
| 1 | 31 |
| 2 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 94.0ms | 512× | 0 | valid |
Compiled 360 to 92 computations (74.4% saved)
ival-mult: 46.0ms (67.7% of total)ival-sub: 11.0ms (16.2% of total)ival-div: 6.0ms (8.8% of total)ival-add: 2.0ms (2.9% of total)ival-true: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.9% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
Compiled 32 to 22 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 16 612× | 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) |
(*.f64 #s(literal 2 binary64) v) |
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 | 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 | 93.8% | (*.f64 (*.f64 (*.f64 w w) r) r) |
| ✓ | accuracy | 93.3% | (*.f64 (*.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 | 91.3% | (*.f64 (*.f64 w w) r) |
| 34.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-mult: 12.0ms (54.4% of total)ival-div: 4.0ms (18.1% of total)ival-sub: 4.0ms (18.1% of total)ival-add: 1.0ms (4.5% of total)exact: 1.0ms (4.5% 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 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))> |
#<alt (- 3 (* 2 v))> |
#<alt (* (* w w) r)> |
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))> |
#<alt (* (* (* w w) r) r)> |
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt 3> |
#<alt (+ 3 (* -2 v))> |
#<alt (+ 3 (* -2 v))> |
#<alt (+ 3 (* -2 v))> |
#<alt (* -2 v)> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* v (- (* 3 (/ 1 v)) 2))> |
#<alt (* -2 v)> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | r | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (* (* w w) r) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | v | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | 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 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
(- 3 (* 2 v)) |
(* (* w w) r) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) |
(* (* (* w w) r) r) |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) |
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(*.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) (neg.f64 (-.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))) |
| 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 | 2574 | 3578 |
| 0 | 8209 | 3390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
3 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
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(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(fma.f64 (*.f64 v v) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (neg.f64 v)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) (*.f64 v v)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (neg.f64 v)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(-.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
Compiled 29 406 to 2 002 computations (93.2% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 598 | 17 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 599 | 17 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 84.9% | (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)))) | |
| 51.2% | (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))) | |
| 52.8% | (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)) | |
| ▶ | 47.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 47.6% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 56.7% | (-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 49.8% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 92.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #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)) |
| 93.2% | (-.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 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 83.3% | (-.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 3/8 binary64)))) #s(literal 9/2 binary64)) | |
| 84.2% | (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| 83.3% | (+.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))) | |
| ▶ | 77.2% | (+.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))) |
| ▶ | 92.5% | (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| 58.2% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| ▶ | 60.6% | (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
Compiled 870 to 570 computations (34.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
| ✓ | cost-diff | 0 | (*.f64 w w) |
| ✓ | cost-diff | 320 | (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) |
| ✓ | cost-diff | 1664 | (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | cost-diff | 0 | (*.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))) |
| 13 092× | accelerator-lowering-fma.f32 |
| 13 092× | accelerator-lowering-fma.f64 |
| 5 360× | *-lowering-*.f32 |
| 5 360× | *-lowering-*.f64 |
| 2 608× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 438 |
| 1 | 146 | 438 |
| 2 | 452 | 420 |
| 3 | 1755 | 418 |
| 4 | 5214 | 418 |
| 0 | 8219 | 396 |
| 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 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) |
-3/2 |
(+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) |
(* (* -1/4 (* r r)) w) |
(* -1/4 (* r r)) |
-1/4 |
(* r r) |
r |
w |
(/ 2 (* r r)) |
2 |
(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2) |
(* r (* r (* w w))) |
(* r (* w w)) |
(* w w) |
w |
(- (/ 1/8 v) 1/4) |
(/ 1/8 v) |
1/8 |
v |
1/4 |
-3/2 |
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))) |
(* w w) |
w |
(+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) |
(/ 2 (* r (* r (* w w)))) |
2 |
(* r (* r (* w w))) |
r |
(* r (* w w)) |
(+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))) |
-1/8 |
(/ (* r (* r (+ (* v -2) 3))) (- 1 v)) |
(* r (* r (+ (* v -2) 3))) |
(* r (+ (* v -2) 3)) |
(+ (* v -2) 3) |
v |
-2 |
3 |
(- 1 v) |
1 |
(/ -3/2 (* w w)) |
-3/2 |
| Outputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) |
(+.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 v #s(literal -1 binary64))) (/.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 |
(/ (* (* 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 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
-3/2 |
#s(literal -3/2 binary64) |
(+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) |
(fma.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(* (* -1/4 (* r r)) w) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) |
(* -1/4 (* r r)) |
(*.f64 r (*.f64 r #s(literal -1/4 binary64))) |
-1/4 |
#s(literal -1/4 binary64) |
(* r r) |
(*.f64 r r) |
r |
w |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) |
(+.f64 (/.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 1/8 binary64) v)) #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 |
(+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #s(literal -3/2 binary64)) |
(* r (* r (* w w))) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* r (* w w)) |
(*.f64 r (*.f64 w w)) |
(* w w) |
(*.f64 w w) |
w |
(- (/ 1/8 v) 1/4) |
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) |
(/ 1/8 v) |
(/.f64 #s(literal 1/8 binary64) v) |
1/8 |
#s(literal 1/8 binary64) |
v |
1/4 |
#s(literal 1/4 binary64) |
-3/2 |
#s(literal -3/2 binary64) |
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(* w w) |
(*.f64 w w) |
w |
(+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 r (/.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
(/ 2 (* r (* r (* w w)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) |
2 |
#s(literal 2 binary64) |
(* r (* r (* w w))) |
(*.f64 r (*.f64 r (*.f64 w w))) |
r |
(* r (* w w)) |
(*.f64 r (*.f64 w w)) |
(+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))) |
(fma.f64 r (/.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) |
-1/8 |
#s(literal -1/8 binary64) |
(/ (* r (* r (+ (* v -2) 3))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(* r (* r (+ (* v -2) 3))) |
(*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* r (+ (* v -2) 3)) |
(*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(+ (* v -2) 3) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
-2 |
#s(literal -2 binary64) |
3 |
#s(literal 3 binary64) |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
(/ -3/2 (* w w)) |
(/.f64 #s(literal -3/2 binary64) (*.f64 w w)) |
-3/2 |
#s(literal -3/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.3% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 91.1% | (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 85.0% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
| ✓ | accuracy | 71.8% | (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
| ✓ | accuracy | 99.7% | (+.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))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 93.8% | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | accuracy | 91.3% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.6% | (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | accuracy | 92.4% | (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 r w) (*.f64 r w)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 93.3% | (*.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))) |
| 72.0ms | 239× | 0 | valid |
| 7.0ms | 8× | 2 | valid |
| 5.0ms | 9× | 1 | valid |
Compiled 432 to 52 computations (88% saved)
ival-mult: 26.0ms (46.4% of total)ival-div: 10.0ms (17.9% of total)ival-add: 9.0ms (16.1% of total)ival-sub: 8.0ms (14.3% of total)adjust: 1.0ms (1.8% of total)exact: 1.0ms (1.8% 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 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))))> |
#<alt (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))> |
#<alt (* (* -1/4 (* r r)) w)> |
#<alt (* -1/4 (* r r))> |
#<alt (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))> |
#<alt (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)> |
#<alt (* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))> |
#<alt (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))> |
#<alt (* w w)> |
#<alt (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))> |
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w)))> |
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))> |
#<alt (* (* r w) (* r w))> |
#<alt (* r (* w w))> |
#<alt (* r (* r (* w w)))> |
#<alt (/ (* r (* r (+ (* v -2) 3))) (- 1 v))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
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#<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))))))> |
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#<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))))> |
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#<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)))> |
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#<alt 3> |
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#<alt (* -2 v)> |
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#<alt (* -1/4 (* (pow r 2) w))> |
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#<alt (* -1/4 (pow r 2))> |
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#<alt (* -1/4 (pow r 2))> |
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#<alt (* -1/4 (pow r 2))> |
#<alt (* -1/4 (pow r 2))> |
#<alt (* -1/4 (pow r 2))> |
#<alt (* -1/4 (pow r 2))> |
#<alt (* -1/4 (pow r 2))> |
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#<alt (* -1/4 (pow r 2))> |
#<alt (* -1/4 (pow r 2))> |
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#<alt (* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
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#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))> |
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#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
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#<alt (* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
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#<alt -3/2> |
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#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt -3/2> |
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#<alt (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)> |
#<alt (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)> |
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)> |
#<alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)> |
#<alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)> |
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)> |
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)> |
#<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) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
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#<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 (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))> |
#<alt (* 3 (pow r 2))> |
#<alt (+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))> |
#<alt (+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2)))))> |
#<alt (+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2)))))> |
#<alt (* 2 (pow r 2))> |
#<alt (- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v)))> |
#<alt (- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2)))))> |
#<alt (- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))))> |
#<alt (* 2 (pow r 2))> |
#<alt (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | w | @ | inf | (* (* -1/4 (* r r)) w) |
| 3.0ms | w | @ | 0 | (* (* -1/4 (* r r)) w) |
| 1.0ms | w | @ | 0 | (* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))) |
| 1.0ms | r | @ | 0 | (* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))) |
| 1.0ms | w | @ | inf | (* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))) |
| 1× | batch-egg-rewrite |
| 4 732× | /-lowering-/.f32 |
| 4 732× | /-lowering-/.f64 |
| 4 478× | *-lowering-*.f32 |
| 4 478× | *-lowering-*.f64 |
| 3 340× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 292 |
| 1 | 341 | 288 |
| 2 | 3685 | 288 |
| 0 | 9549 | 264 |
| 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 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) |
(+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) |
(* (* -1/4 (* r r)) w) |
(* -1/4 (* r r)) |
(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) |
(+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2) |
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))) |
(+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))) |
(* w w) |
(+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) |
(* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v)) |
(* (* r w) (* r w)) |
(* r (* w w)) |
(* r (* r (* w w))) |
(/ (* r (* r (+ (* v -2) 3))) (- 1 v)) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 3/8 binary64)) |
(+.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 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 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 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))) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #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)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #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 (*.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 v v) #s(literal 4 binary64) (-.f64 #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 (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.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 -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.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 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (/.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 #s(literal -1/8 binary64) (*.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 9/2 binary64))) |
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.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 -9/2 binary64)) |
(+.f64 #s(literal -9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.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 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.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 -9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.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 9/2 binary64)) |
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(/.f64 (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 r)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 r))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 r)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r r) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r (*.f64 r (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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) r) |
(*.f64 (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 16 286× | accelerator-lowering-fma.f32 |
| 16 286× | accelerator-lowering-fma.f64 |
| 5 026× | *-lowering-*.f32 |
| 5 026× | *-lowering-*.f64 |
| 3 098× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 522 | 10126 |
| 1 | 1657 | 9540 |
| 2 | 5419 | 9304 |
| 0 | 8182 | 8745 |
| 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))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4))))) |
(/ 2 (pow r 2)) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(* -1/4 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2)) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
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(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
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(- (* 2 (/ 1 (pow r 2))) 3/2) |
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(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
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(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
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(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
-3/2 |
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(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2) |
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(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2))))) |
-3/2 |
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2) |
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2) |
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2) |
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(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
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(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* v (+ (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 3))) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ -3/2 (pow w 2)) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (* -1/4 (pow r 2))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* -1/4 (pow r 2))) (* 3/2 (/ 1 (pow w 2)))) |
(/ -3/2 (pow w 2)) |
(/ (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (pow w 2)) |
(/ (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (pow w 2)) |
(/ (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2))))) |
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(* 3 (pow r 2)) |
(+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) |
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2))))) |
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2))))) |
(* 2 (pow r 2)) |
(- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v))) |
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2))))) |
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2)))))) |
(* 2 (pow r 2)) |
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 #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 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 #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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 #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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 r (*.f64 r (/.f64 (*.f64 w w) v)) (*.f64 r (*.f64 r (*.f64 w w)))) v) (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w w)))) 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)) |
(* 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)) |
(* (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))) |
(* 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))) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(* 3 (pow r 2)) |
(*.f64 (*.f64 r r) #s(literal 3 binary64)) |
(+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) |
(fma.f64 v (*.f64 r r) (*.f64 (*.f64 r r) #s(literal 3 binary64))) |
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2))))) |
(fma.f64 v (*.f64 (*.f64 r r) (+.f64 v #s(literal 1 binary64))) (*.f64 (*.f64 r r) #s(literal 3 binary64))) |
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2))))) |
(fma.f64 v (fma.f64 (*.f64 v (*.f64 r r)) (+.f64 v #s(literal 1 binary64)) (*.f64 r r)) (*.f64 (*.f64 r r) #s(literal 3 binary64))) |
(* 2 (pow r 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 r r)) |
(- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v))) |
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r r) v)) |
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2))))) |
(+.f64 (-.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3 binary64) (*.f64 v v)) (*.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 r r) v)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 v v))) |
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2)))))) |
(-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 r r) (/.f64 (*.f64 (*.f64 r r) #s(literal -3 binary64)) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) v)) (fma.f64 (*.f64 r r) (/.f64 #s(literal -2 binary64) (*.f64 v (*.f64 v v))) (/.f64 (*.f64 r r) (*.f64 v v)))) |
(* 2 (pow r 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r r) v)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 r r (/.f64 (*.f64 r r) v)) v)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) |
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 r r (/.f64 (fma.f64 r r (/.f64 (*.f64 r r) v)) v)) v)) |
Compiled 60 592 to 3 266 computations (94.6% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 554 | 16 | 1 570 |
| Fresh | 9 | 3 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 567 | 20 | 1 587 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.3% | (fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ▶ | 94.0% | (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
| 50.6% | (fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) | |
| 44.4% | (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)) | |
| ▶ | 47.5% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| 35.8% | (/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) | |
| ✓ | 47.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 56.7% | (-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 49.8% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| ▶ | 95.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 r w)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 91.2% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 r w)) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 84.9% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 83.3% | (+.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))) | |
| 80.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) | |
| ▶ | 58.2% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
| 92.5% | (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) | |
| 24.1% | (*.f64 (*.f64 w w) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))) | |
| 30.5% | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) | |
| 35.8% | (*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
Compiled 744 to 512 computations (31.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) v) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | cost-diff | 0 | (*.f64 r w) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 r w)) |
| ✓ | cost-diff | 0 | (*.f64 w #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.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 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 16 702× | accelerator-lowering-fma.f32 |
| 16 702× | accelerator-lowering-fma.f64 |
| 4 710× | *-lowering-*.f32 |
| 4 710× | *-lowering-*.f64 |
| 2 436× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 263 |
| 1 | 87 | 263 |
| 2 | 251 | 261 |
| 3 | 816 | 261 |
| 4 | 3020 | 261 |
| 5 | 6283 | 261 |
| 0 | 8122 | 252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v)) |
(* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) |
(+ (* -1/4 v) 3/8) |
-1/4 |
v |
3/8 |
(* (* r w) (* r w)) |
(* r w) |
w |
(- 1 v) |
1 |
9/2 |
(+ (/ 2 (* r r)) -3/2) |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
-3/2 |
(/ (/ 2 r) r) |
(/ 2 r) |
2 |
r |
(+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) |
(* w -1/4) |
w |
-1/4 |
(* r (* r w)) |
r |
(* r w) |
(+ (/ 2 (* r r)) -3/2) |
(/ 2 (* r r)) |
2 |
(* r r) |
-3/2 |
(+ (* (* (+ -1/4 (/ 1/8 v)) (* r w)) (* r w)) (+ -3/2 (/ 2 (* r r)))) |
(* (+ -1/4 (/ 1/8 v)) (* r w)) |
(+ -1/4 (/ 1/8 v)) |
-1/4 |
(/ 1/8 v) |
1/8 |
v |
(* r w) |
r |
w |
(+ -3/2 (/ 2 (* r r))) |
-3/2 |
(/ 2 (* r r)) |
2 |
(* r r) |
| Outputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))) (*.f64 r (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))) (*.f64 r (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 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 |
(/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 w (*.f64 w (*.f64 r (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)))))) (+.f64 v #s(literal -1 binary64))) |
(* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) |
(*.f64 r (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)))) |
(+ (* -1/4 v) 3/8) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
v |
3/8 |
#s(literal 3/8 binary64) |
(* (* 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)) -3/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 |
-3/2 |
#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 |
(+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) #s(literal -3/2 binary64))) |
(* w -1/4) |
(*.f64 #s(literal -1/4 binary64) w) |
w |
-1/4 |
#s(literal -1/4 binary64) |
(* r (* r w)) |
(*.f64 r (*.f64 r w)) |
r |
(* r w) |
(*.f64 r w) |
(+ (/ 2 (* r r)) -3/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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) |
-3/2 |
#s(literal -3/2 binary64) |
(+ (* (* (+ -1/4 (/ 1/8 v)) (* r w)) (* r w)) (+ -3/2 (/ 2 (* r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r w)) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64))) |
(* (+ -1/4 (/ 1/8 v)) (* r w)) |
(*.f64 r (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(+ -1/4 (/ 1/8 v)) |
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) |
-1/4 |
#s(literal -1/4 binary64) |
(/ 1/8 v) |
(/.f64 #s(literal 1/8 binary64) v) |
1/8 |
#s(literal 1/8 binary64) |
v |
(* r w) |
(*.f64 r w) |
r |
w |
(+ -3/2 (/ 2 (* r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
-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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.4% | (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.8% | (*.f64 r (*.f64 r w)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.6% | (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) r) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 r w) (*.f64 r w)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 95.2% | (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 93.3% | (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) |
| 59.0ms | 256× | 0 | valid |
Compiled 258 to 38 computations (85.3% saved)
ival-mult: 14.0ms (36.8% of total)ival-div: 12.0ms (31.5% of total)ival-add: 8.0ms (21% of total)ival-sub: 3.0ms (7.9% of total)exact: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2)> |
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v)))> |
#<alt (+ 3 (/ 2 (* r r)))> |
#<alt (/ 2 (* r r))> |
#<alt (+ (/ 2 (* r r)) -3/2)> |
#<alt (* r r)> |
#<alt (/ (/ 2 r) r)> |
#<alt (/ 2 r)> |
#<alt (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2))> |
#<alt (* w -1/4)> |
#<alt (* r (* r w))> |
#<alt (* r w)> |
#<alt (+ (* (* (+ -1/4 (/ 1/8 v)) (* r w)) (* r w)) (+ -3/2 (/ 2 (* r r))))> |
#<alt (* (+ -1/4 (/ 1/8 v)) (* r w))> |
#<alt (+ -1/4 (/ 1/8 v))> |
#<alt (/ 1/8 v)> |
#<alt (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w)))> |
#<alt (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))> |
#<alt (* (* r w) (* r w))> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
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#<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 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))> |
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (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))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2) |
| 6.0ms | r | @ | -inf | (* r w) |
| 2.0ms | w | @ | 0 | (* r w) |
| 1.0ms | r | @ | 0 | (* (+ -1/4 (/ 1/8 v)) (* r w)) |
| 1.0ms | w | @ | 0 | (* (+ -1/4 (/ 1/8 v)) (* r w)) |
| 1× | batch-egg-rewrite |
| 8 016× | accelerator-lowering-fma.f32 |
| 8 016× | accelerator-lowering-fma.f64 |
| 4 844× | /-lowering-/.f32 |
| 4 844× | /-lowering-/.f64 |
| 4 442× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 173 |
| 1 | 251 | 171 |
| 2 | 2471 | 171 |
| 0 | 9392 | 158 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
(/ 2 (* r r)) |
(+ (/ 2 (* r r)) -3/2) |
(* r r) |
(/ (/ 2 r) r) |
(/ 2 r) |
(+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) |
(* w -1/4) |
(* r (* r w)) |
(* r w) |
(+ (* (* (+ -1/4 (/ 1/8 v)) (* r w)) (* r w)) (+ -3/2 (/ 2 (* r r)))) |
(* (+ -1/4 (/ 1/8 v)) (* r w)) |
(+ -1/4 (/ 1/8 v)) |
(/ 1/8 v) |
(* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) |
(/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v)) |
(* (* r w) (* r w)) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r 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 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64)) |
(+.f64 #s(literal -9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))) |
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(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64)))) |
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(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 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 r (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 w (*.f64 r w)) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 w (*.f64 r w)) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r r)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w w) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 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 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r 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 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w))) #s(literal -1 binary64)) (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))) |
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(pow.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 r w))) #s(literal 2 binary64)) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 w (*.f64 r (*.f64 r w))) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 (*.f64 r (*.f64 r w)) w) |
(*.f64 (*.f64 w (*.f64 r w)) r) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(*.f64 (exp.f64 (log.f64 (*.f64 r w))) (exp.f64 (log.f64 (*.f64 r w)))) |
| 1× | egg-herbie |
| 25 310× | accelerator-lowering-fma.f32 |
| 25 310× | accelerator-lowering-fma.f64 |
| 4 952× | +-lowering-+.f64 |
| 4 952× | +-lowering-+.f32 |
| 4 250× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 6398 |
| 1 | 844 | 5906 |
| 2 | 2885 | 5285 |
| 0 | 8108 | 5052 |
| 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 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 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 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2)) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(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 (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 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2)) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2) |
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2) |
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* 1/8 (/ (* r w) v)) |
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v) |
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v) |
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v) |
(* -1/4 (* r w)) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(* -1/4 (* r w)) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(/ 1/8 v) |
(/ (+ 1/8 (* -1/4 v)) v) |
(/ (+ 1/8 (* -1/4 v)) v) |
(/ (+ 1/8 (* -1/4 v)) v) |
-1/4 |
(- (* 1/8 (/ 1 v)) 1/4) |
(- (* 1/8 (/ 1 v)) 1/4) |
(- (* 1/8 (/ 1 v)) 1/4) |
-1/4 |
(- (* 1/8 (/ 1 v)) 1/4) |
(- (* 1/8 (/ 1 v)) 1/4) |
(- (* 1/8 (/ 1 v)) 1/4) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 v) |
(/ 1/8 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)))))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v))) |
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) |
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #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 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.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 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #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))))) |
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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
Compiled 43 503 to 2 682 computations (93.8% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 432 | 13 | 1 445 |
| Fresh | 10 | 4 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 445 | 20 | 1 465 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.4% | (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
| 47.6% | (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) | |
| ▶ | 96.3% | (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| 51.8% | (fma.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) | |
| 46.6% | (fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) | |
| ✓ | 47.5% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ▶ | 20.1% | (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| 37.1% | (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v)) | |
| ✓ | 47.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 95.6% | (-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| 56.7% | (-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 49.8% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 49.4% | (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 95.6% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) | |
| ▶ | 58.3% | (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
| 83.3% | (+.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))) | |
| ✓ | 58.2% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
| 30.5% | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) | |
| 35.8% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) | |
| ▶ | 12.0% | #s(literal -3/2 binary64) |
Compiled 622 to 440 computations (29.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r r) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/4 binary64) w) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | cost-diff | 0 | (*.f64 r w) |
| ✓ | cost-diff | 0 | (*.f64 w #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 w #s(literal -1/4 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| 27 496× | accelerator-lowering-fma.f32 |
| 27 496× | accelerator-lowering-fma.f64 |
| 3 158× | *-lowering-*.f32 |
| 3 158× | *-lowering-*.f64 |
| 2 480× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 185 |
| 1 | 69 | 177 |
| 2 | 149 | 169 |
| 3 | 276 | 169 |
| 4 | 486 | 169 |
| 5 | 1168 | 169 |
| 6 | 3113 | 169 |
| 7 | 4999 | 169 |
| 8 | 6108 | 169 |
| 9 | 6372 | 169 |
| 10 | 6460 | 169 |
| 11 | 6531 | 169 |
| 12 | 6547 | 169 |
| 13 | 6934 | 169 |
| 14 | 7005 | 169 |
| 15 | 7014 | 169 |
| 16 | 7014 | 169 |
| 0 | 8019 | 167 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* r (* w -1/4)) (* r w)) (+ -3/2 (/ 2 (* r r)))) |
(* r (* w -1/4)) |
r |
(* w -1/4) |
w |
-1/4 |
(* r w) |
(+ -3/2 (/ 2 (* r r))) |
-3/2 |
(/ 2 (* r r)) |
2 |
(* r r) |
-3/2 |
(+ (/ (/ 2 r) r) -3/2) |
(/ (/ 2 r) r) |
(/ 2 r) |
2 |
r |
-3/2 |
(+ (* (* (* r (* -1/4 w)) w) r) (+ (/ 2 (* r r)) -3/2)) |
(* (* r (* -1/4 w)) w) |
(* r (* -1/4 w)) |
r |
(* -1/4 w) |
-1/4 |
w |
(+ (/ 2 (* r r)) -3/2) |
(/ 2 (* r r)) |
2 |
(* r r) |
-3/2 |
(/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r)))) |
(- 9/4 (/ 4 (* (* r r) (* r r)))) |
9/4 |
(/ 4 (* (* r r) (* r r))) |
4 |
(* (* r r) (* r r)) |
(* r r) |
r |
(- -3/2 (/ 2 (* r r))) |
-3/2 |
(/ 2 (* r r)) |
2 |
| Outputs |
|---|
(+ (* (* r (* w -1/4)) (* r w)) (+ -3/2 (/ 2 (* r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) #s(literal -3/2 binary64))) |
(* r (* w -1/4)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
r |
(* w -1/4) |
(*.f64 w #s(literal -1/4 binary64)) |
w |
-1/4 |
#s(literal -1/4 binary64) |
(* r w) |
(*.f64 r w) |
(+ -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) |
-3/2 |
#s(literal -3/2 binary64) |
(+ (/ (/ 2 r) r) -3/2) |
(-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(/ (/ 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 |
-3/2 |
#s(literal -3/2 binary64) |
(+ (* (* (* r (* -1/4 w)) w) r) (+ (/ 2 (* r r)) -3/2)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) #s(literal -3/2 binary64))) |
(* (* r (* -1/4 w)) w) |
(*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) |
(* r (* -1/4 w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
r |
(* -1/4 w) |
(*.f64 w #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
w |
(+ (/ 2 (* r r)) -3/2) |
(-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(/ 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) |
(/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r)))) |
(/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) |
(- 9/4 (/ 4 (* (* r r) (* r r)))) |
(-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
9/4 |
#s(literal 9/4 binary64) |
(/ 4 (* (* r r) (* r r))) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
4 |
#s(literal 4 binary64) |
(* (* r r) (* r r)) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(* r r) |
(*.f64 r r) |
r |
(- -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) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 r r) (*.f64 r r)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 64.3% | (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/4 binary64) w) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.3% | (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) r) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | accuracy | 100.0% | (*.f64 r w) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 115.0ms | 256× | 0 | valid |
Compiled 185 to 32 computations (82.7% saved)
ival-mult: 81.0ms (82.9% of total)ival-div: 8.0ms (8.2% of total)ival-add: 5.0ms (5.1% of total)ival-sub: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* r (* w -1/4)) (* r w)) (+ -3/2 (/ 2 (* r r))))> |
#<alt (* r (* w -1/4))> |
#<alt (* w -1/4)> |
#<alt (* r w)> |
#<alt (/ (/ 2 r) r)> |
#<alt (+ (/ (/ 2 r) r) -3/2)> |
#<alt (/ 2 r)> |
#<alt (+ (* (* (* r (* -1/4 w)) w) r) (+ (/ 2 (* r r)) -3/2))> |
#<alt (* (* r (* -1/4 w)) w)> |
#<alt (* r (* -1/4 w))> |
#<alt (* -1/4 w)> |
#<alt (/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r))))> |
#<alt (- 9/4 (/ 4 (* (* r r) (* r r))))> |
#<alt (/ 4 (* (* r r) (* r r)))> |
#<alt (* (* r r) (* r r))> |
#<alt (/ 2 (* r r))> |
#<alt (* r r)> |
| Outputs |
|---|
#<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 (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 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) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (* r w)> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt -3/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt -3/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (/ 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 (/ 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 (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 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) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 (* r w))> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<alt (* -1/4 w)> |
#<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 (/ -4 (pow r 4))> |
#<alt (/ (- (* 9/4 (pow r 4)) 4) (pow r 4))> |
#<alt (/ (- (* 9/4 (pow r 4)) 4) (pow r 4))> |
#<alt (/ (- (* 9/4 (pow r 4)) 4) (pow r 4))> |
#<alt 9/4> |
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))> |
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))> |
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))> |
#<alt 9/4> |
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))> |
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))> |
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (/ 4 (pow r 4))> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<alt (pow r 4)> |
#<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)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | r | @ | 0 | (/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r)))) |
| 0.0ms | r | @ | inf | (/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r)))) |
| 0.0ms | r | @ | 0 | (/ 4 (* (* r r) (* r r))) |
| 0.0ms | w | @ | 0 | (* r (* w -1/4)) |
| 0.0ms | r | @ | 0 | (* (* r (* -1/4 w)) w) |
| 1× | batch-egg-rewrite |
| 5 346× | accelerator-lowering-fma.f32 |
| 5 346× | accelerator-lowering-fma.f64 |
| 5 130× | *-lowering-*.f32 |
| 5 130× | *-lowering-*.f64 |
| 4 884× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 111 |
| 1 | 192 | 105 |
| 2 | 1459 | 101 |
| 0 | 8367 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* r (* w -1/4)) (* r w)) (+ -3/2 (/ 2 (* r r)))) |
(* r (* w -1/4)) |
(* w -1/4) |
(* r w) |
(/ (/ 2 r) r) |
(+ (/ (/ 2 r) r) -3/2) |
(/ 2 r) |
(+ (* (* (* r (* -1/4 w)) w) r) (+ (/ 2 (* r r)) -3/2)) |
(* (* r (* -1/4 w)) w) |
(* r (* -1/4 w)) |
(* -1/4 w) |
(/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r)))) |
(- 9/4 (/ 4 (* (* r r) (* r r)))) |
(/ 4 (* (* r r) (* r r))) |
(* (* r r) (* r r)) |
(/ 2 (* r r)) |
(* r r) |
| Outputs |
|---|
(+.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) |
(+.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) |
(+.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) (-.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (/.f64 (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))) (/.f64 (*.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (-.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r w) (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) r) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal 1 binary64) (neg.f64 r)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 (+.f64 #s(literal -27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 r (*.f64 r (*.f64 r r)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 r r)) #s(literal -3 binary64)) (*.f64 r r)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) |
(fma.f64 (+.f64 #s(literal -27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 r (*.f64 r (*.f64 r r)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) #s(literal 81/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/4 binary64)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))) #s(literal -1 binary64)) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) |
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(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 r r))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 r r))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 r r) (/.f64 #s(literal 4 binary64) (*.f64 r r))) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) r)) |
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) #s(literal 2 binary64))) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) (*.f64 r (neg.f64 r))))) |
(*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (neg.f64 r))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (/.f64 (*.f64 r (*.f64 r r)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 #s(literal 4 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 2 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) #s(literal 4 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r)) (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r r))) (pow.f64 (/.f64 r #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 2 binary64) r)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 2 binary64) r)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 #s(literal 2 binary64) r)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 #s(literal 4 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) r)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) r) (/.f64 #s(literal 2 binary64) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r r))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) r)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (*.f64 r #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) r)) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 r #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r r)) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 r #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 r #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) r)) |
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 r #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) (*.f64 r #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) r)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 r #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) r) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (neg.f64 r)) (/.f64 #s(literal -2 binary64) r)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 r #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 r #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 r #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 r #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) r)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) r)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) r) (*.f64 r r))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r r)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 r #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 r #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 r))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 r)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 r) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 r) (*.f64 #s(literal 2 binary64) (log.f64 r)))) |
(pow.f64 r #s(literal 4 binary64)) |
(pow.f64 (*.f64 r r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 r (*.f64 r (*.f64 r r))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 r (neg.f64 r)) #s(literal 2 binary64)) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(*.f64 (*.f64 r r) (*.f64 r r)) |
(*.f64 (*.f64 r (neg.f64 r)) (*.f64 r (neg.f64 r))) |
(*.f64 (*.f64 r (*.f64 r r)) r) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 r)) (/.f64 #s(literal -2 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 r (neg.f64 r)))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 (/.f64 #s(literal 2 binary64) r) (neg.f64 (neg.f64 r))) |
(/.f64 #s(literal -2 binary64) (*.f64 r (neg.f64 r))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 r (neg.f64 r))))) |
(/.f64 (/.f64 #s(literal -2 binary64) r) (neg.f64 r)) |
(/.f64 (/.f64 #s(literal -2 binary64) r) (neg.f64 (neg.f64 (neg.f64 r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.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))) (neg.f64 r)) |
(pow.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) r)) |
(*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal 1 binary64) (neg.f64 r))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 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) (neg.f64 r))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 r))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 r)) #s(literal 1 binary64))) |
(pow.f64 r #s(literal 2 binary64)) |
(pow.f64 (*.f64 r r) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 r) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 r)) #s(literal 2 binary64)) |
(*.f64 r r) |
(*.f64 (neg.f64 r) (neg.f64 r)) |
(*.f64 (exp.f64 (log.f64 r)) (exp.f64 (log.f64 r))) |
| 1× | egg-herbie |
| 7 842× | accelerator-lowering-fma.f32 |
| 7 842× | accelerator-lowering-fma.f64 |
| 4 462× | *-lowering-*.f32 |
| 4 462× | *-lowering-*.f64 |
| 2 676× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 1974 |
| 1 | 123 | 1974 |
| 2 | 293 | 1938 |
| 3 | 660 | 1818 |
| 4 | 1694 | 1818 |
| 5 | 3708 | 1818 |
| 6 | 5845 | 1714 |
| 0 | 8050 | 1654 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 2 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) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r (pow w 2))) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 (* r w)) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(* -1/4 w) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ -4 (pow r 4)) |
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4)) |
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4)) |
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4)) |
9/4 |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
9/4 |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(/ 4 (pow r 4)) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(pow r 4) |
(/ 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) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(* r w) |
(*.f64 r w) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
-3/2 |
#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))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
-3/2 |
#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))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 (* r w)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r w)) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(* -1/4 w) |
(*.f64 #s(literal -1/4 binary64) w) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
-3/2 |
#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))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
-3/2 |
#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))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/ -4 (pow r 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4)) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4)) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4)) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
9/4 |
#s(literal 9/4 binary64) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
9/4 |
#s(literal 9/4 binary64) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(- 9/4 (* 4 (/ 1 (pow r 4)))) |
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(/ 4 (pow r 4)) |
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(pow r 4) |
(*.f64 r (*.f64 r (*.f64 r r))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
Compiled 33 498 to 1 841 computations (94.5% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 175 | 2 | 1 177 |
| Fresh | 1 | 11 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 177 | 20 | 1 197 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.4% | (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
| 47.6% | (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) | |
| ✓ | 96.3% | (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| 46.6% | (fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) | |
| ✓ | 47.5% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| 9.5% | (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| 37.1% | (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v)) | |
| ✓ | 47.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 95.6% | (-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| 56.7% | (-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 49.8% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 49.4% | (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 95.6% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) | |
| ✓ | 58.3% | (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
| 83.3% | (+.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))) | |
| ✓ | 58.2% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
| 30.5% | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) | |
| 35.8% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) | |
| 36.8% | (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) | |
| ✓ | 12.0% | #s(literal -3/2 binary64) |
Compiled 1 233 to 434 computations (64.8% 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 -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.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 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v)) |
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 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 3/8 binary64)))) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.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 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.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 -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 w w) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.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 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)) |
(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 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #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 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64)) |
(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)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
6 calls:
| 55.0ms | (-.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)) |
| 43.0ms | w |
| 14.0ms | (*.f64 w w) |
| 14.0ms | r |
| 14.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | v |
| 99.5% | 2 | w |
| 99.6% | 2 | r |
| 98.4% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 98.4% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.5% | 2 | (*.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 -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.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 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v)) |
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 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 3/8 binary64)))) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.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 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.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 -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| Outputs |
|---|
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
6 calls:
| 12.0ms | v |
| 11.0ms | w |
| 10.0ms | r |
| 9.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 9.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | v |
| 96.3% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 96.3% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 96.3% | 1 | w |
| 96.3% | 1 | (*.f64 w w) |
| 96.3% | 1 | r |
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 -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.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 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v)) |
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 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 3/8 binary64)))) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.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 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| Outputs |
|---|
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
4 calls:
| 12.0ms | r |
| 10.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 9.0ms | v |
| 8.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | r |
| 96.3% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 96.3% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 96.3% | 1 | v |
Compiled 70 to 48 computations (31.4% 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 -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.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 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
6 calls:
| 12.0ms | w |
| 7.0ms | r |
| 5.0ms | v |
| 5.0ms | (*.f64 w w) |
| 5.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | w |
| 92.5% | 1 | (*.f64 w w) |
| 92.5% | 1 | v |
| 92.5% | 1 | r |
| 92.5% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.5% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
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 -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
| Outputs |
|---|
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) |
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
6 calls:
| 6.0ms | r |
| 6.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 5.0ms | w |
| 5.0ms | v |
| 4.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 2 | r |
| 64.2% | 4 | v |
| 70.5% | 2 | w |
| 93.6% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 93.6% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 70.5% | 2 | (*.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 -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| Outputs |
|---|
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
2 calls:
| 4.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 3.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 93.6% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% 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 -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
2 calls:
| 3.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 3.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.2% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% 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 -3/2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
6 calls:
| 4.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 2.0ms | w |
| 2.0ms | v |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 2.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.2% | 1 | v |
| 58.2% | 1 | w |
| 58.2% | 1 | (*.f64 w w) |
| 58.2% | 1 | r |
| 58.2% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 58.2% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 80 to 55 computations (31.3% 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) |
6 calls:
| 13.0ms | (*.f64 w w) |
| 2.0ms | w |
| 2.0ms | v |
| 2.0ms | r |
| 1.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 57.9% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 47.4% | 1 | v |
| 58.1% | 2 | r |
| 47.4% | 1 | w |
| 47.4% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -3/2 binary64) |
| Outputs |
|---|
#s(literal -3/2 binary64) |
6 calls:
| 4.0ms | w |
| 1.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 1.0ms | v |
| 1.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 1.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.0% | 1 | v |
| 12.0% | 1 | (*.f64 w w) |
| 12.0% | 1 | w |
| 12.0% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 12.0% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 12.0% | 1 | r |
Compiled 80 to 55 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.4556025345397345e-52 | 1.0350954179683034e-48 |
| 17.0ms | 128× | 0 | valid |
Compiled 427 to 308 computations (27.9% saved)
ival-mult: 5.0ms (52.3% of total)ival-div: 2.0ms (20.9% of total)ival-sub: 2.0ms (20.9% of total)ival-add: 1.0ms (10.5% 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 |
|---|---|---|
| 22.0ms | 0.22144456959848977 | 6.842418393851395 |
| 16.0ms | -1.7116073659760607e+44 | -8.116225326053558e+41 |
| 30.0ms | 224× | 0 | valid |
Compiled 721 to 504 computations (30.1% saved)
ival-mult: 9.0ms (53.8% of total)ival-sub: 4.0ms (23.9% of total)ival-div: 3.0ms (17.9% of total)ival-add: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 15892046800364.037 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 15892046800364.037 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -73342.57996809139 | 2.9999999999956524 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 3.547521859044429e-7 | 13.272367939528392 |
| 16.0ms | 144× | 0 | valid |
Compiled 161 to 136 computations (15.5% saved)
ival-mult: 5.0ms (40.6% of total)ival-div: 2.0ms (16.2% of total)ival-sub: 2.0ms (16.2% of total)ival-add: 2.0ms (16.2% 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 |
| 276× | unsub-neg_binary64 |
| 196× | neg-mul-1_binary64 |
| 112× | distribute-lft-neg-in_binary64 |
| 106× | *-commutative_binary64 |
| 92× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 302 |
| 1 | 119 | 302 |
| 2 | 151 | 302 |
| 3 | 187 | 302 |
| 4 | 238 | 302 |
| 5 | 305 | 302 |
| 6 | 449 | 302 |
| 7 | 664 | 302 |
| 8 | 800 | 302 |
| 9 | 830 | 302 |
| 10 | 833 | 302 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 r #s(literal 6318737500113431/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(if (<=.f64 v #s(literal -849999999999999937570227584427381932163072 binary64)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 3/2 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(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 5 binary64)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 5 binary64)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -50000 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
| Outputs |
|---|
(if (<=.f64 r #s(literal 6318737500113431/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(if (<=.f64 v #s(literal -849999999999999937570227584427381932163072 binary64)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 3/2 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 v #s(literal -849999999999999937570227584427381932163072 binary64)) (fma.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 3/2 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(fma.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(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 5 binary64)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))) |
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 5 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) w) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 5 binary64)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 5 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) w) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -50000 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -50000 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
| 25 310× | accelerator-lowering-fma.f32 |
| 25 310× | accelerator-lowering-fma.f64 |
| 16 286× | accelerator-lowering-fma.f32 |
| 16 286× | accelerator-lowering-fma.f64 |
| 14 382× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 1974 |
| 1 | 123 | 1974 |
| 2 | 293 | 1938 |
| 3 | 660 | 1818 |
| 4 | 1694 | 1818 |
| 5 | 3708 | 1818 |
| 6 | 5845 | 1714 |
| 0 | 8050 | 1654 |
| 0 | 522 | 10126 |
| 1 | 1657 | 9540 |
| 2 | 5419 | 9304 |
| 0 | 8182 | 8745 |
| 0 | 50 | 292 |
| 1 | 341 | 288 |
| 2 | 3685 | 288 |
| 0 | 9549 | 264 |
| 0 | 36 | 173 |
| 1 | 251 | 171 |
| 2 | 2471 | 171 |
| 0 | 9392 | 158 |
| 0 | 268 | 6398 |
| 1 | 844 | 5906 |
| 2 | 2885 | 5285 |
| 0 | 8108 | 5052 |
| 0 | 22 | 114 |
| 1 | 135 | 104 |
| 2 | 1339 | 104 |
| 0 | 8951 | 94 |
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2574 | 3578 |
| 0 | 8209 | 3390 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 794 to 425 computations (46.5% saved)
(abs r)
(abs w)
Compiled 1 234 to 482 computations (60.9% saved)
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