
Time bar (total: 14.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 31 to 24 computations (22.6% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 425.0ms (54.9% of total)ival-sub: 145.0ms (18.7% of total)ival-div: 136.0ms (17.6% of total)ival-add: 40.0ms (5.2% of total)exact: 18.0ms (2.3% of total)ival-true: 6.0ms (0.8% 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) v)))) |
| 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 |
|---|---|---|---|---|---|
| 30 | 0 | - | 0 | - | (*.f64 (*.f64 w w) r) |
| 20 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 19 | 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)) |
| 10 | 0 | - | 2 | (-9.582347922729802e+24 2.6794397001066144e-9 1.3549907465398428e-149) | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| 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 | 19 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | overflow | 68 | |
| ↳ | (*.f64 w w) | overflow | 72 | |
| ↳ | (*.f64 (*.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 | 89 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 70 | |
*.f64 | (*.f64 (*.f64 w w) r) | n*o | 13 | 0 |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 12 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 12 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 0 |
| - | 0 | 208 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 0 |
| - | 0 | 0 | 208 |
| number | freq |
|---|---|
| 0 | 208 |
| 1 | 40 |
| 2 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 70.0ms | 512× | 0 | valid |
Compiled 360 to 92 computations (74.4% saved)
ival-mult: 20.0ms (50.1% of total)ival-sub: 9.0ms (22.5% of total)ival-div: 7.0ms (17.5% of total)ival-add: 2.0ms (5% of total)ival-true: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 82.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
Compiled 32 to 22 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 | 128 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| ✓ | cost-diff | 128 | (-.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)) |
| 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) v)))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) v)))) |
(+ 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 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w))) |
(* 1/8 (- 3 (* 2 v))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(- 3 (* 2 v)) |
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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 | 96.8% | (*.f64 (*.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 | 93.0% | (/.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)) |
| ✓ | accuracy | 92.6% | (*.f64 (*.f64 (*.f64 w w) r) r) |
| ✓ | accuracy | 88.9% | (*.f64 (*.f64 w w) r) |
| 42.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-sub: 15.0ms (49.7% of total)ival-mult: 10.0ms (33.1% of total)ival-div: 3.0ms (9.9% of total)ival-add: 1.0ms (3.3% of total)exact: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)> |
#<alt (* 1/8 (- 3 (* 2 v)))> |
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))> |
#<alt (+ 3 (/ 2 (* r r)))> |
#<alt (* (* w w) r)> |
#<alt (* (* (* w w) r) r)> |
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))> |
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt 3/8> |
#<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 (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 (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt 3> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt 3> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | r | @ | -inf | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 2.0ms | r | @ | 0 | (* (* w w) r) |
| 2.0ms | w | @ | 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) |
| 1.0ms | r | @ | 0 | (- (- (+ 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 | 116 |
| 1 | 135 | 106 |
| 2 | 1339 | 106 |
| 0 | 8951 | 96 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
(* 1/8 (- 3 (* 2 v))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
(* (* w w) r) |
(* (* (* w w) r) r) |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))) |
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(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 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 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 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 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 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 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #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 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 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 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #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 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 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) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 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 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 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 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) r) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) r) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)) (*.f64 r r)) |
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))) |
| 1× | egg-herbie |
| 14 286× | accelerator-lowering-fma.f32 |
| 14 286× | accelerator-lowering-fma.f64 |
| 4 858× | +-lowering-+.f64 |
| 4 858× | +-lowering-+.f32 |
| 4 108× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 4033 |
| 1 | 725 | 3871 |
| 2 | 2527 | 3593 |
| 0 | 8200 | 3405 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 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)))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))))) (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)))))) |
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)))))) |
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64))) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 v (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #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 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #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 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #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 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #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 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #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 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #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 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #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 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64))) |
Compiled 31 738 to 1 958 computations (93.8% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 600 | 13 | 613 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 601 | 13 | 614 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 44.0% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ▶ | 51.0% | (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64)) |
| 39.6% | (-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))))) #s(literal 9/2 binary64)) | |
| 74.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) | |
| 75.9% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) | |
| 46.6% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64)) | |
| 82.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 66.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 90.2% | (-.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 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ▶ | 90.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #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)) |
| 45.4% | (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) | |
| ▶ | 79.2% | (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
| 55.6% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
Compiled 660 to 428 computations (35.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.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))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| ✓ | cost-diff | 128 | (-.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)) |
| 10 064× | accelerator-lowering-fma.f32 |
| 10 064× | accelerator-lowering-fma.f64 |
| 5 982× | *-lowering-*.f32 |
| 5 982× | *-lowering-*.f64 |
| 1 978× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 433 |
| 1 | 118 | 433 |
| 2 | 304 | 409 |
| 3 | 1203 | 409 |
| 4 | 4008 | 409 |
| 0 | 8070 | 388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) |
(* 1/8 (- 3 (* 2 v))) |
1/8 |
(- 3 (* 2 v)) |
(* 2 v) |
v |
(* w (* (* r w) r)) |
w |
(* (* r w) r) |
(* r w) |
(- 1 v) |
1 |
9/2 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(- (/ (/ (+ 2 (* (* r r) 3)) r) r) 9/2) |
(/ (/ (+ 2 (* (* r r) 3)) r) r) |
(/ (+ 2 (* (* r r) 3)) r) |
(+ 2 (* (* r r) 3)) |
2 |
(* (* r r) 3) |
(* r r) |
r |
3 |
9/2 |
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
(+ -3/2 (/ 2 (* r r))) |
-3/2 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) |
(* 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 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) |
(* 1/8 (- 3 (* 2 v))) |
1/8 |
(- 3 (* 2 v)) |
(* 2 v) |
v |
(* (* (* r w) w) r) |
(* (* r w) w) |
(* r w) |
w |
(- 1 v) |
1 |
9/2 |
| Outputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2) |
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (+.f64 (*.f64 v #s(literal 1/4 binary64)) #s(literal -3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v)))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (+.f64 (*.f64 v #s(literal 1/4 binary64)) #s(literal -3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v))) |
(+ 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 (* (* r w) r))) (- 1 v)) |
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))) |
(* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w))) |
(* 1/8 (- 3 (* 2 v))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(- 3 (* 2 v)) |
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) |
(* 2 v) |
(*.f64 #s(literal 2 binary64) v) |
v |
(* w (* (* r w) r)) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
w |
(* (* r w) r) |
(*.f64 (*.f64 r r) w) |
(* r w) |
(*.f64 r 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 |
(- (/ (/ (+ 2 (* (* r r) 3)) r) r) 9/2) |
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 r r))) (*.f64 r r)) #s(literal -9/2 binary64)) |
(/ (/ (+ 2 (* (* r r) 3)) r) r) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 r r))) (*.f64 r r)) |
(/ (+ 2 (* (* r r) 3)) r) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 r r))) r) |
(+ 2 (* (* r r) 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 r r))) |
2 |
#s(literal 2 binary64) |
(* (* r r) 3) |
(*.f64 #s(literal 3 binary64) (*.f64 r r)) |
(* r r) |
(*.f64 r r) |
r |
3 |
#s(literal 3 binary64) |
9/2 |
#s(literal 9/2 binary64) |
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(+ -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) |
r |
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) |
(* r (* r (* w w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(* r (* w w)) |
(*.f64 r (*.f64 w w)) |
(* w w) |
(*.f64 w w) |
w |
(- (/ 1/8 v) 1/4) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(/ 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 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2) |
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (+.f64 (*.f64 v #s(literal 1/4 binary64)) #s(literal -3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v)))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (+.f64 (*.f64 v #s(literal 1/4 binary64)) #s(literal -3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)) |
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w))) |
(* 1/8 (- 3 (* 2 v))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(- 3 (* 2 v)) |
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) |
(* 2 v) |
(*.f64 #s(literal 2 binary64) v) |
v |
(* (* (* r w) w) r) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(* (* r w) w) |
(*.f64 r (*.f64 w w)) |
(* r w) |
(*.f64 r w) |
w |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
9/2 |
#s(literal 9/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.8% | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) |
| ✓ | accuracy | 93.0% | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 92.6% | (*.f64 (*.f64 (*.f64 r w) w) r) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.2% | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 92.6% | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | accuracy | 88.9% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 r r) #s(literal 3 binary64)) |
| ✓ | accuracy | 71.9% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.8% | (*.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))) |
| ✓ | accuracy | 95.2% | (*.f64 w (*.f64 (*.f64 r w) r)) |
| ✓ | accuracy | 93.0% | (/.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)) |
| 96.0ms | 222× | 0 | valid |
| 14.0ms | 25× | 1 | valid |
| 8.0ms | 8× | 3 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 435 to 45 computations (89.7% saved)
ival-mult: 38.0ms (53.7% of total)ival-div: 12.0ms (17% of total)ival-sub: 11.0ms (15.6% of total)ival-add: 5.0ms (7.1% of total)adjust: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2)> |
#<alt (* 1/8 (- 3 (* 2 v)))> |
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v)))> |
#<alt (+ 3 (/ 2 (* r r)))> |
#<alt (/ 2 (* r r))> |
#<alt (* r r)> |
#<alt (- (/ (/ (+ 2 (* (* r r) 3)) r) r) 9/2)> |
#<alt (/ (/ (+ 2 (* (* r r) 3)) r) r)> |
#<alt (/ (+ 2 (* (* r r) 3)) r)> |
#<alt (+ 2 (* (* r r) 3))> |
#<alt (+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))> |
#<alt (+ -3/2 (/ 2 (* r r)))> |
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2)> |
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)))> |
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))> |
#<alt (* w (* (* r w) r))> |
#<alt (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r)))> |
#<alt (* (* r r) 3)> |
#<alt (* r (* w w))> |
#<alt (* r (* r (* w w)))> |
#<alt (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))> |
#<alt (* (* (* r w) w) r)> |
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))> |
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r))> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt 3/8> |
#<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 (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))))> |
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#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | 0 | (+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
| 3.0ms | r | @ | inf | (+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
| 1.0ms | r | @ | 0 | (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) |
| 1.0ms | w | @ | inf | (+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
| 1.0ms | v | @ | inf | (+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
| 1× | batch-egg-rewrite |
| 5 868× | accelerator-lowering-fma.f32 |
| 5 868× | accelerator-lowering-fma.f64 |
| 5 078× | /-lowering-/.f32 |
| 5 078× | /-lowering-/.f64 |
| 4 664× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 314 |
| 1 | 307 | 288 |
| 2 | 2473 | 288 |
| 0 | 9544 | 262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2) |
(* 1/8 (- 3 (* 2 v))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
(/ 2 (* r r)) |
(* r r) |
(- (/ (/ (+ 2 (* (* r r) 3)) r) r) 9/2) |
(/ (/ (+ 2 (* (* r r) 3)) r) r) |
(/ (+ 2 (* (* r r) 3)) r) |
(+ 2 (* (* r r) 3)) |
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
(+ -3/2 (/ 2 (* r r))) |
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) |
(/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v)) |
(* w (* (* r w) r)) |
(* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) |
(* (* r r) 3) |
(* r (* w w)) |
(* r (* r (* w w))) |
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) |
(* (* (* r w) w) r) |
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)) |
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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)) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r (*.f64 r w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 81/4 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))))) (/.f64 #s(literal 729/8 binary64) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 81/4 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r (*.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 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64)))) |
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(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) r) (*.f64 w (*.f64 r w))) |
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r w)) (*.f64 r w)) |
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r r)) (*.f64 w w)) |
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r (*.f64 r w))) w) |
(*.f64 (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal 1/8 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) |
| 1× | egg-herbie |
| 16 952× | accelerator-lowering-fma.f32 |
| 16 952× | accelerator-lowering-fma.f64 |
| 5 416× | +-lowering-+.f64 |
| 5 416× | +-lowering-+.f32 |
| 4 294× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 9873 |
| 1 | 825 | 9536 |
| 2 | 2810 | 8837 |
| 0 | 8202 | 8405 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 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 r) |
(/ (+ 2 (* 3 (pow r 2))) r) |
(/ (+ 2 (* 3 (pow r 2))) r) |
(/ (+ 2 (* 3 (pow r 2))) r) |
(* 3 r) |
(* r (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* r (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* r (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* 3 r) |
(* r (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* r (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* r (+ 3 (* 2 (/ 1 (pow r 2))))) |
2 |
(+ 2 (* 3 (pow r 2))) |
(+ 2 (* 3 (pow r 2))) |
(+ 2 (* 3 (pow r 2))) |
(* 3 (pow r 2)) |
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* 3 (pow r 2)) |
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ 3 (* 2 (/ 1 (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))) |
(* (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 (/ (* (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 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 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)))))) |
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(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 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))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))))) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)))))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)))))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)))) #s(literal -3/2 binary64)) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))))) (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64)))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (*.f64 v (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)))) #s(literal -3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(+.f64 #s(literal -3/2 binary64) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v)))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) (*.f64 v (*.f64 v v))) (+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) 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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v)) v))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(* 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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 w w) v) #s(literal -1/4 binary64))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 w w) v) #s(literal -1/4 binary64))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w))) |
Compiled 68 311 to 2 988 computations (95.6% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 758 | 15 | 1 773 |
| Fresh | 3 | 5 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 765 | 21 | 1 786 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| 17.0% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) | |
| 32.8% | (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) | |
| ✓ | 44.0% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 89.7% | (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r (*.f64 r w))) #s(literal -1 binary64)) (/.f64 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)) | |
| 8.1% | (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64)) | |
| ▶ | 46.6% | (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
| 12.7% | (-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64)) | |
| 74.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) | |
| 75.9% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) | |
| ▶ | 92.1% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 82.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 78.3% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 80.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 45.4% | (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) | |
| 84.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w)))))) | |
| ▶ | 83.9% | (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
| 55.6% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| ▶ | 43.0% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
| 27.1% | (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) | |
| ▶ | 12.7% | #s(literal -3/2 binary64) |
Compiled 782 to 566 computations (27.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 w w)) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 10 080× | accelerator-lowering-fma.f32 |
| 10 080× | accelerator-lowering-fma.f64 |
| 5 468× | *-lowering-*.f32 |
| 5 468× | *-lowering-*.f64 |
| 2 752× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 310 |
| 1 | 103 | 310 |
| 2 | 270 | 308 |
| 3 | 1153 | 308 |
| 4 | 4146 | 308 |
| 0 | 8164 | 297 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)) |
(* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) |
(* (* (+ 3 (* v -2)) (* 1/8 w)) r) |
(* (+ 3 (* v -2)) (* 1/8 w)) |
(+ 3 (* v -2)) |
(* v -2) |
v |
-2 |
(* 1/8 w) |
1/8 |
w |
(* r w) |
(- 1 v) |
1 |
9/2 |
-3/2 |
(- (/ (/ 2 r) r) 9/2) |
(/ (/ 2 r) r) |
(/ 2 r) |
2 |
r |
9/2 |
(+ -3/2 (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
-3/2 |
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) |
(* r (* r (* w w))) |
r |
(* r (* w w)) |
(* w w) |
w |
(- (/ 1/8 v) 1/4) |
(/ 1/8 v) |
1/8 |
v |
1/4 |
(+ (+ -3/2 (/ 2 (* r r))) (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)) |
(+ -3/2 (/ 2 (* r r))) |
-3/2 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r) |
(* (+ (/ 1/8 v) -1/4) (* w (* r w))) |
(+ (/ 1/8 v) -1/4) |
(/ 1/8 v) |
1/8 |
v |
-1/4 |
(* w (* r w)) |
w |
(* r w) |
| Outputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))))) (+.f64 v #s(literal -1 binary64))))) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))))) (+.f64 v #s(literal -1 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 |
(/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))))) (-.f64 #s(literal 1 binary64) v)) |
(* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) |
(*.f64 r (*.f64 w (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))))) |
(* (* (+ 3 (* v -2)) (* 1/8 w)) r) |
(*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))) |
(* (+ 3 (* v -2)) (* 1/8 w)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w)) |
(+ 3 (* v -2)) |
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) |
(* v -2) |
(*.f64 v #s(literal -2 binary64)) |
v |
-2 |
#s(literal -2 binary64) |
(* 1/8 w) |
(*.f64 #s(literal 1/8 binary64) w) |
1/8 |
#s(literal 1/8 binary64) |
w |
(* r w) |
(*.f64 r w) |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
9/2 |
#s(literal 9/2 binary64) |
-3/2 |
#s(literal -3/2 binary64) |
(- (/ (/ 2 r) r) 9/2) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -9/2 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 |
9/2 |
#s(literal 9/2 binary64) |
(+ -3/2 (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
-3/2 |
#s(literal -3/2 binary64) |
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* r (* r (* w w))) |
(*.f64 r (*.f64 r (*.f64 w w))) |
r |
(* r (* w w)) |
(*.f64 r (*.f64 w w)) |
(* w w) |
(*.f64 w w) |
w |
(- (/ 1/8 v) 1/4) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(/ 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 (/ 2 (* r r))) (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
(+ -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) |
r |
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (+ (/ 1/8 v) -1/4) (* w (* r w))) |
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(+ (/ 1/8 v) -1/4) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(/ 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) |
(* w (* r w)) |
(*.f64 r (*.f64 w w)) |
w |
(* r w) |
(*.f64 r w) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 w (*.f64 r w)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.1% | (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) |
| ✓ | accuracy | 92.7% | (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r) |
| ✓ | accuracy | 100.0% | (*.f64 w w) |
| ✓ | accuracy | 96.2% | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 92.6% | (*.f64 r (*.f64 r (*.f64 w w))) |
| ✓ | accuracy | 88.9% | (*.f64 r (*.f64 w w)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) r) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 98.2% | (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) |
| ✓ | accuracy | 93.0% | (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
| 135.0ms | 238× | 0 | valid |
| 6.0ms | 8× | 2 | valid |
| 5.0ms | 10× | 1 | valid |
Compiled 312 to 44 computations (85.9% saved)
ival-mult: 96.0ms (79.5% of total)ival-div: 9.0ms (7.5% of total)ival-add: 7.0ms (5.8% of total)ival-sub: 6.0ms (5% of total)adjust: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2)> |
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)))> |
#<alt (+ 3 (/ 2 (* r r)))> |
#<alt (/ 2 (* r r))> |
#<alt (- (/ (/ 2 r) r) 9/2)> |
#<alt (/ (/ 2 r) r)> |
#<alt (/ 2 r)> |
#<alt (+ -3/2 (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))> |
#<alt (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))> |
#<alt (* r (* r (* w w)))> |
#<alt (* r (* w w))> |
#<alt (+ (+ -3/2 (/ 2 (* r r))) (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))> |
#<alt (+ -3/2 (/ 2 (* r r)))> |
#<alt (* r r)> |
#<alt (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))> |
#<alt (* (* (+ 3 (* v -2)) (* 1/8 w)) r)> |
#<alt (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w))> |
#<alt (* w w)> |
#<alt (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)> |
#<alt (* (+ (/ 1/8 v) -1/4) (* w (* r w)))> |
#<alt (* w (* r w))> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (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 (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt 3> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt 3> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))> |
#<alt -9/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)> |
#<alt -9/2> |
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)> |
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)> |
#<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 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
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#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))> |
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (pow w 2)> |
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)> |
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)> |
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<alt (* 1/8 (/ (* r (pow w 2)) v))> |
#<alt (/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v)> |
#<alt (/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v)> |
#<alt (/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v)> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))> |
#<alt (* -1/4 (* r (pow w 2)))> |
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))> |
#<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))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | v | @ | 0 | (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) |
| 1.0ms | r | @ | 0 | (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)) |
| 1.0ms | r | @ | 0 | (* (* (+ 3 (* v -2)) (* 1/8 w)) r) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2) |
| 1.0ms | w | @ | inf | (* (* (+ 3 (* v -2)) (* 1/8 w)) r) |
| 1× | batch-egg-rewrite |
| 7 780× | accelerator-lowering-fma.f32 |
| 7 780× | accelerator-lowering-fma.f64 |
| 4 854× | /-lowering-/.f32 |
| 4 854× | /-lowering-/.f64 |
| 4 332× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 231 |
| 1 | 277 | 213 |
| 2 | 2440 | 213 |
| 0 | 9179 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) |
(+ 3 (/ 2 (* r r))) |
(/ 2 (* r r)) |
(- (/ (/ 2 r) r) 9/2) |
(/ (/ 2 r) r) |
(/ 2 r) |
(+ -3/2 (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))) |
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) |
(* r (* r (* w w))) |
(* r (* w w)) |
(+ (+ -3/2 (/ 2 (* r r))) (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)) |
(+ -3/2 (/ 2 (* r r))) |
(* r r) |
(/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)) |
(* (* (+ 3 (* v -2)) (* 1/8 w)) r) |
(* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) |
(* w w) |
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r) |
(* (+ (/ 1/8 v) -1/4) (* w (* r w))) |
(* w (* r w)) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (*.f64 r w) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (*.f64 (/.f64 (*.f64 r w) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) |
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(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w))))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/32 binary64) v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v)))) |
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/32 binary64) v))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/32 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/32 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64))) (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))))))) |
(*.f64 r (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w))) r) |
(*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r (*.f64 r w))) |
(*.f64 (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) (*.f64 r w)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r r)) (*.f64 w w)) |
(+.f64 (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64))) |
(+.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w)) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w)))) |
(fma.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v) (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/32 binary64) v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v)))) |
(/.f64 (*.f64 (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 w w))) (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/32 binary64) v))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/32 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 w w)))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/32 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 w w)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) (*.f64 r (*.f64 w w)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64))) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1/8 binary64) v)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w)))) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w w))))))) |
(*.f64 r (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 w (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 w w) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r w)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r) (*.f64 w w)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) w) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w w)) r) |
(*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) r) w) |
(*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) w) r) |
(*.f64 r (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(*.f64 (*.f64 r w) w) |
(*.f64 (*.f64 w w) r) |
| 1× | egg-herbie |
| 17 894× | accelerator-lowering-fma.f32 |
| 17 894× | accelerator-lowering-fma.f64 |
| 5 698× | +-lowering-+.f64 |
| 5 698× | +-lowering-+.f32 |
| 4 760× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 7848 |
| 1 | 918 | 7495 |
| 2 | 3141 | 6990 |
| 0 | 8346 | 6693 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
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(/ (+ (* 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 (/ 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))))) |
(/ 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) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 3/8 (* r w)) |
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w))) |
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w))) |
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w))) |
(* -1/4 (* r (* v w))) |
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v)))) |
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v)))) |
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v)))) |
(* -1/4 (* r (* v w))) |
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))))) |
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))))) |
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))) |
(pow 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) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* 1/8 (/ (* r (pow w 2)) v)) |
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v) |
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v) |
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v) |
(* -1/4 (* r (pow w 2))) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(* -1/4 (* r (pow w 2))) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r #s(literal -3/2 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 (+.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))))) (*.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 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.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)))))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.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)))))) |
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(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(* 1/8 (/ (* r (pow w 2)) v)) |
(/.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) v) |
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v) |
(/.f64 (*.f64 (*.f64 w w) (+.f64 (*.f64 r #s(literal 1/8 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 r v)))) v) |
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v) |
(/.f64 (*.f64 (*.f64 w w) (+.f64 (*.f64 r #s(literal 1/8 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 r v)))) v) |
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v) |
(/.f64 (*.f64 (*.f64 w w) (+.f64 (*.f64 r #s(literal 1/8 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 r v)))) v) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* -1/4 (* r (pow w 2))) |
(*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
(* r (pow w 2)) |
(*.f64 r (*.f64 w w)) |
Compiled 44 189 to 2 626 computations (94.1% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 283 | 10 | 1 293 |
| Fresh | 7 | 8 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 294 | 20 | 1 314 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| ▶ | 17.0% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) |
| 32.8% | (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) | |
| ✓ | 44.0% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 74.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) | |
| 89.1% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 80.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 96.5% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64)) |
| 50.1% | (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 45.4% | (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) | |
| ▶ | 84.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w)))))) |
| 83.2% | (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) | |
| 55.6% | (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| ▶ | 44.7% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
| 42.1% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) | |
| 44.3% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) | |
| 39.3% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) | |
| 33.4% | (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) | |
| ✓ | 12.7% | #s(literal -3/2 binary64) |
| ▶ | 4.1% | #s(literal -9/2 binary64) |
Compiled 704 to 506 computations (28.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w))))) |
| ✓ | cost-diff | 0 | (*.f64 r r) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w)))))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64)) |
| 9 244× | accelerator-lowering-fma.f32 |
| 9 244× | accelerator-lowering-fma.f64 |
| 6 078× | *-lowering-*.f32 |
| 6 078× | *-lowering-*.f64 |
| 1 838× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 327 |
| 1 | 106 | 327 |
| 2 | 334 | 325 |
| 3 | 1637 | 325 |
| 4 | 5961 | 325 |
| 0 | 8031 | 315 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) |
(+ 3 (/ 2 (* r r))) |
3 |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w)))) |
(/ (* r w) (- 1 v)) |
(* r w) |
w |
(- 1 v) |
1 |
v |
(* (+ 3 (* v -2)) (* r (* 1/8 w))) |
(+ 3 (* v -2)) |
(* v -2) |
-2 |
(* r (* 1/8 w)) |
(* 1/8 w) |
1/8 |
9/2 |
-9/2 |
(/ (* (* (* (* r r) 1/8) w) w) v) |
(* (* (* (* r r) 1/8) w) w) |
(* (* (* r r) 1/8) w) |
(* (* r r) 1/8) |
(* r r) |
r |
1/8 |
w |
v |
(+ -3/2 (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)) |
-3/2 |
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r) |
(* (+ (/ 1/8 v) -1/4) (* w (* r w))) |
(+ (/ 1/8 v) -1/4) |
(/ 1/8 v) |
1/8 |
v |
-1/4 |
(* w (* r w)) |
w |
(* r w) |
r |
(+ (/ 2 (* r r)) (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))))) |
(/ 2 (* r r)) |
2 |
(* r r) |
r |
(+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))) |
-3/2 |
(* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))) |
(+ (/ 1/8 v) -1/4) |
(/ 1/8 v) |
1/8 |
v |
-1/4 |
(* w (* r (* r w))) |
w |
(* r (* r w)) |
(* r w) |
| Outputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) 9/2) |
(+.f64 (*.f64 (*.f64 r w) (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w #s(literal 1/8 binary64)))) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
(- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 (*.f64 r (*.f64 w #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(+ 3 (/ 2 (* r r))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 |
#s(literal 3 binary64) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w)))) |
(*.f64 (*.f64 r (*.f64 w (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 (*.f64 r (*.f64 w #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(/ (* r w) (- 1 v)) |
(/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) |
(* r w) |
(*.f64 r w) |
w |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
v |
(* (+ 3 (* v -2)) (* r (* 1/8 w))) |
(*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w #s(literal 1/8 binary64)))) |
(+ 3 (* v -2)) |
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) |
(* v -2) |
(*.f64 v #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(* r (* 1/8 w)) |
(*.f64 r (*.f64 w #s(literal 1/8 binary64))) |
(* 1/8 w) |
(*.f64 w #s(literal 1/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
9/2 |
#s(literal 9/2 binary64) |
-9/2 |
#s(literal -9/2 binary64) |
(/ (* (* (* (* r r) 1/8) w) w) v) |
(/.f64 (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) v) |
(* (* (* (* r r) 1/8) w) w) |
(*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) |
(* (* (* r r) 1/8) w) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 1/8 binary64))) |
(* (* r r) 1/8) |
(*.f64 r (*.f64 r #s(literal 1/8 binary64))) |
(* r r) |
(*.f64 r r) |
r |
1/8 |
#s(literal 1/8 binary64) |
w |
v |
(+ -3/2 (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) |
-3/2 |
#s(literal -3/2 binary64) |
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) |
(* (+ (/ 1/8 v) -1/4) (* w (* r w))) |
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(+ (/ 1/8 v) -1/4) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(/ 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) |
(* w (* r w)) |
(*.f64 w (*.f64 r w)) |
w |
(* r w) |
(*.f64 r w) |
r |
(+ (/ 2 (* r r)) (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))))) |
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))))) |
(/ 2 (* r r)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
2 |
#s(literal 2 binary64) |
(* r r) |
(*.f64 r r) |
r |
(+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) |
-3/2 |
#s(literal -3/2 binary64) |
(* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) |
(+ (/ 1/8 v) -1/4) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(/ 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) |
(* w (* r (* r w))) |
(*.f64 r (*.f64 w (*.f64 r w))) |
w |
(* r (* r w)) |
(*.f64 r (*.f64 r w)) |
(* r w) |
(*.f64 r w) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 r (*.f64 r w)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 96.2% | (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w)))) |
| ✓ | accuracy | 95.2% | (*.f64 w (*.f64 r (*.f64 r w))) |
| ✓ | accuracy | 100.0% | (*.f64 r w) |
| ✓ | accuracy | 99.8% | (*.f64 w (*.f64 r w)) |
| ✓ | accuracy | 96.1% | (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) |
| ✓ | accuracy | 92.7% | (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r) |
| ✓ | accuracy | 100.0% | (*.f64 r r) |
| ✓ | accuracy | 95.2% | (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) |
| ✓ | accuracy | 92.1% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) |
| ✓ | accuracy | 86.0% | (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| ✓ | accuracy | 95.9% | (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 95.5% | (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) |
| ✓ | accuracy | 95.1% | (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w)))) |
| 77.0ms | 256× | 0 | valid |
Compiled 329 to 43 computations (86.9% saved)
ival-mult: 27.0ms (56.6% of total)ival-div: 7.0ms (14.7% of total)ival-add: 7.0ms (14.7% of total)ival-sub: 6.0ms (12.6% of total)exact: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) 9/2)> |
#<alt (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w)))))> |
#<alt (+ 3 (/ 2 (* r r)))> |
#<alt (/ 2 (* r r))> |
#<alt (/ (* (* (* (* r r) 1/8) w) w) v)> |
#<alt (* (* (* (* r r) 1/8) w) w)> |
#<alt (* (* (* r r) 1/8) w)> |
#<alt (* (* r r) 1/8)> |
#<alt (+ -3/2 (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))> |
#<alt (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)> |
#<alt (* (+ (/ 1/8 v) -1/4) (* w (* r w)))> |
#<alt (+ (/ 1/8 v) -1/4)> |
#<alt (+ (/ 2 (* r r)) (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))))> |
#<alt (* r r)> |
#<alt (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))))> |
#<alt (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))> |
#<alt (* (+ 3 (* v -2)) (* r (* 1/8 w)))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (* w (* r w))> |
#<alt (* r w)> |
#<alt (* w (* r (* r w)))> |
#<alt (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))> |
#<alt (* r (* r w))> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
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#<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 -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))) 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 -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))) 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 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 (* (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 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* r w))> |
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))> |
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))> |
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))> |
#<alt (* -1/4 (* r (* v w)))> |
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))> |
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))> |
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))> |
#<alt (* -1/4 (* r (* v w)))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (* r w)> |
#<alt (+ (* r w) (* r (* v w)))> |
#<alt (+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w)))))> |
#<alt (+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w)))))> |
#<alt (* -1 (/ (* r w) v))> |
#<alt (/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)> |
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v)> |
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v)> |
#<alt (* -1 (/ (* r w) v))> |
#<alt (* -1 (/ (+ (* r w) (/ (* r w) v)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v))> |
#<alt (* 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 (* 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 (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)> |
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)> |
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (* -1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<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)))> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
#<alt (* (pow r 2) w)> |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | r | @ | 0 | (/ (* (* (* (* r r) 1/8) w) w) v) |
| 6.0ms | w | @ | -inf | (* r (* r w)) |
| 3.0ms | v | @ | 0 | (/ (* (* (* (* r r) 1/8) w) w) v) |
| 1.0ms | v | @ | inf | (/ (* (* (* (* r r) 1/8) w) w) v) |
| 1.0ms | w | @ | 0 | (/ (* r w) (- 1 v)) |
| 1× | batch-egg-rewrite |
| 4 706× | accelerator-lowering-fma.f32 |
| 4 706× | accelerator-lowering-fma.f64 |
| 4 140× | *-lowering-*.f32 |
| 4 140× | *-lowering-*.f64 |
| 3 984× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 253 |
| 1 | 243 | 237 |
| 2 | 2310 | 237 |
| 0 | 8204 | 225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) 9/2) |
(- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) |
(+ 3 (/ 2 (* r r))) |
(/ 2 (* r r)) |
(/ (* (* (* (* r r) 1/8) w) w) v) |
(* (* (* (* r r) 1/8) w) w) |
(* (* (* r r) 1/8) w) |
(* (* r r) 1/8) |
(+ -3/2 (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)) |
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r) |
(* (+ (/ 1/8 v) -1/4) (* w (* r w))) |
(+ (/ 1/8 v) -1/4) |
(+ (/ 2 (* r r)) (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))))) |
(* r r) |
(+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))) |
(* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w)))) |
(* (+ 3 (* v -2)) (* r (* 1/8 w))) |
(/ (* r w) (- 1 v)) |
(* w (* r w)) |
(* r w) |
(* w (* r (* r w))) |
(* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))) |
(* r (* r w)) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal -9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal 9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal -9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))))) (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))))) #s(literal 81/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #s(literal 9/2 binary64)))) (/.f64 #s(literal 729/8 binary64) (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))))) #s(literal 81/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #s(literal 9/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))))) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))))) (-.f64 #s(literal 81/4 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #s(literal -9/2 binary64))))) (/.f64 #s(literal 729/8 binary64) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))))) (-.f64 #s(literal 81/4 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #s(literal -9/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))))) (-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #s(literal -9/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))))) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 3 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) |
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 r (*.f64 r r))) (*.f64 r (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 r r) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64)))) |
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(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v)))))) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v)))))) |
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 w) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 w #s(literal -1 binary64)) (/.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v)))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (neg.f64 w) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 w (-.f64 #s(literal 1 binary64) v))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(*.f64 (*.f64 r w) w) |
(*.f64 (*.f64 w w) r) |
(*.f64 r w) |
(*.f64 w r) |
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 w (*.f64 r (*.f64 r w))) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 (*.f64 w (*.f64 r w)) r) |
(*.f64 (*.f64 r (*.f64 r w)) w) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64))) |
(+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))))) |
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64))) |
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v))) |
(/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v)))) |
(/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64))) (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))))))) |
(*.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) |
(*.f64 w (*.f64 (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) |
(*.f64 (*.f64 w (*.f64 r w)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r)) |
(*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) r) |
(*.f64 (*.f64 r (*.f64 r w)) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r (*.f64 r w))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w))) w) |
(*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) r) (*.f64 r w)) |
(*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w) |
(*.f64 (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 w (*.f64 r w))) |
(*.f64 (*.f64 r (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) (*.f64 r w)) |
(*.f64 r (*.f64 r w)) |
(*.f64 (*.f64 r r) w) |
(*.f64 w (*.f64 r r)) |
(*.f64 (*.f64 r w) r) |
| 1× | egg-herbie |
| 18 674× | accelerator-lowering-fma.f32 |
| 18 674× | accelerator-lowering-fma.f64 |
| 5 766× | +-lowering-+.f64 |
| 5 766× | +-lowering-+.f32 |
| 5 284× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 318 | 9131 |
| 1 | 1023 | 8441 |
| 2 | 3410 | 8048 |
| 0 | 8496 | 7737 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
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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))))) |
(* (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 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) |
(* 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) |
(- (+ (* -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) |
(- (* -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) |
-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) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 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)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 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) |
(* (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)) (* 3/2 (/ 1 (pow r 2))))) |
(* (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))) |
(* (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)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* r w)) |
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w))) |
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w))) |
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w))) |
(* -1/4 (* r (* v w))) |
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v)))) |
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v)))) |
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v)))) |
(* -1/4 (* r (* v w))) |
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))))) |
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))))) |
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(* 1/8 (* r (* w (+ 3 (* -2 v))))) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(* r w) |
(+ (* r w) (* r (* v w))) |
(+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w))))) |
(+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w))))) |
(* -1 (/ (* r w) v)) |
(/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v) |
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v) |
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v) |
(* -1 (/ (* r w) v)) |
(* -1 (/ (+ (* r w) (/ (* r w) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (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) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))) (*.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 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.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)))))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.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)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.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 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.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)))))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64)) |
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(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
(* (pow r 2) w) |
(*.f64 r (*.f64 r w)) |
Compiled 50 008 to 2 831 computations (94.3% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 500 | 7 | 1 507 |
| Fresh | 6 | 7 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 510 | 17 | 1 527 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| 32.8% | (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) | |
| ✓ | 44.0% | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 74.7% | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) | |
| 96.4% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal 9/2 binary64)) | |
| 80.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 50.1% | (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 45.4% | (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) | |
| 92.5% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) | |
| 55.6% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) | |
| 44.3% | (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)) | |
| 34.1% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w)) | |
| 39.3% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) | |
| 50.1% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) | |
| 46.7% | (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)) | |
| ✓ | 12.7% | #s(literal -3/2 binary64) |
| ✓ | 4.1% | #s(literal -9/2 binary64) |
Compiled 1 114 to 411 computations (63.1% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 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 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #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 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.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 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r (*.f64 r w))) #s(literal -1 binary64)) (/.f64 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)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64)) |
6 calls:
| 16.0ms | r |
| 14.0ms | v |
| 14.0ms | w |
| 13.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 12.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | v |
| 96.5% | 1 | w |
| 96.5% | 1 | r |
| 96.5% | 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)) |
| 96.5% | 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))) |
| 96.5% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 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 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) |
4 calls:
| 14.0ms | r |
| 12.0ms | v |
| 11.0ms | w |
| 9.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | w |
| 94.9% | 2 | r |
| 92.5% | 1 | (*.f64 w w) |
| 96.5% | 3 | v |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) |
2 calls:
| 10.0ms | r |
| 10.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 2 | r |
| 92.5% | 1 | v |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) |
4 calls:
| 8.0ms | w |
| 8.0ms | v |
| 8.0ms | (*.f64 w w) |
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 1 | v |
| 83.2% | 1 | w |
| 83.2% | 1 | (*.f64 w w) |
| 93.4% | 3 | r |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) |
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)) |
1 calls:
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)) |
1 calls:
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
3 calls:
| 5.0ms | v |
| 4.0ms | w |
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 1 | w |
| 55.6% | 1 | v |
| 55.6% | 1 | r |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
#s(literal -3/2 binary64) |
3 calls:
| 2.0ms | v |
| 2.0ms | r |
| 2.0ms | w |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.0% | 1 | v |
| 55.2% | 2 | r |
| 45.9% | 2 | w |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#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) |
1 calls:
| 2.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal -9/2 binary64) |
#s(literal -3/2 binary64) |
| Outputs |
|---|
#s(literal -3/2 binary64) |
3 calls:
| 2.0ms | w |
| 2.0ms | r |
| 2.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.7% | 1 | v |
| 12.7% | 1 | w |
| 12.7% | 1 | r |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -9/2 binary64) |
| Outputs |
|---|
#s(literal -9/2 binary64) |
3 calls:
| 1.0ms | w |
| 1.0ms | v |
| 1.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.1% | 1 | r |
| 4.1% | 1 | w |
| 4.1% | 1 | v |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 31.0ms | -3.097826781783199e+144 | -6.650320483959155e+142 |
| 27.0ms | 112× | 0 | valid |
Compiled 413 to 301 computations (27.1% saved)
ival-mult: 4.0ms (48.3% of total)ival-sub: 2.0ms (24.1% of total)ival-div: 1.0ms (12.1% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.684969033292142e-50 | 2.597399908664397e-46 |
| 44.0ms | -3.9907774116453725e-13 | -1.651945318838135e-22 |
| 51.0ms | 272× | 0 | valid |
Compiled 887 to 650 computations (26.7% saved)
ival-mult: 34.0ms (77.2% of total)ival-sub: 5.0ms (11.4% of total)ival-div: 3.0ms (6.8% of total)ival-add: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 3.0301436148871662e+147 | 1.8310647077116695e+148 |
| 3.0ms | 32× | 0 | valid |
Compiled 107 to 80 computations (25.2% saved)
ival-sub: 1.0ms (40% of total)ival-mult: 1.0ms (40% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 9.84360051153434e+82 | 5.132425283253046e+86 |
| 46.0ms | 1.0159049426864409e-123 | 2.037145918670578e-122 |
| 45.0ms | 144× | 0 | valid |
Compiled 317 to 234 computations (26.2% saved)
ival-mult: 6.0ms (53.8% of total)ival-div: 2.0ms (17.9% of total)ival-sub: 2.0ms (17.9% of total)ival-add: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.044444667412502e-28 | 5.029246978773806e-27 |
| 15.0ms | 112× | 0 | valid |
Compiled 203 to 154 computations (24.1% saved)
ival-mult: 7.0ms (61.1% of total)ival-sub: 2.0ms (17.5% of total)ival-div: 1.0ms (8.7% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.044444667412502e-28 | 5.029246978773806e-27 |
| 14.0ms | 112× | 0 | valid |
Compiled 203 to 154 computations (24.1% saved)
ival-sub: 5.0ms (44.9% of total)ival-mult: 4.0ms (35.9% of total)ival-div: 1.0ms (9% of total)ival-add: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.9817640305647072e-21 | 9.358378730563877e-15 |
| 17.0ms | 144× | 0 | valid |
Compiled 161 to 136 computations (15.5% saved)
ival-mult: 6.0ms (46% of total)ival-sub: 5.0ms (38.3% of total)ival-div: 2.0ms (15.3% of total)ival-add: 1.0ms (7.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.9817640305647072e-21 | 9.358378730563877e-15 |
| 15.0ms | 144× | 0 | valid |
Compiled 161 to 136 computations (15.5% saved)
ival-mult: 6.0ms (53.7% of total)ival-sub: 3.0ms (26.9% of total)ival-div: 2.0ms (17.9% of total)ival-add: 1.0ms (9% 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 |
| 198× | neg-mul-1_binary64 |
| 118× | distribute-lft-neg-in_binary64 |
| 102× | *-commutative_binary64 |
| 92× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 261 |
| 1 | 134 | 261 |
| 2 | 162 | 261 |
| 3 | 202 | 261 |
| 4 | 256 | 261 |
| 5 | 325 | 261 |
| 6 | 458 | 261 |
| 7 | 677 | 261 |
| 8 | 807 | 261 |
| 9 | 827 | 261 |
| 10 | 832 | 261 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 v #s(literal -329999999999999999171399884227318331762312790736328548627377585711751554341118099526807030418727415062764150738731056750664292091677564953690112 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal -7724745845140773/19807040628566084398385987584 binary64)) (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) (if (<=.f64 v #s(literal 819538402572085/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))))) |
(if (<=.f64 r #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))) |
(if (<=.f64 r #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)))) |
(if (<=.f64 r #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))) |
(if (<=.f64 r #s(literal 3205732122288777/696898287454081973172991196020261297061888 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(if (<=.f64 r #s(literal 5831192761049855/633825300114114700748351602688 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
(if (<=.f64 r #s(literal 5831192761049855/633825300114114700748351602688 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(literal -9/2 binary64) |
| Outputs |
|---|
(if (<=.f64 v #s(literal -329999999999999999171399884227318331762312790736328548627377585711751554341118099526807030418727415062764150738731056750664292091677564953690112 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal -329999999999999999171399884227318331762312790736328548627377585711751554341118099526807030418727415062764150738731056750664292091677564953690112 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 w #s(literal 1/8 binary64)))) (/.f64 (*.f64 r w) (+.f64 v #s(literal -1 binary64))))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal -7724745845140773/19807040628566084398385987584 binary64)) (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) (if (<=.f64 v #s(literal 819538402572085/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))))) |
(if (<=.f64 v #s(literal -7724745845140773/19807040628566084398385987584 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 w (*.f64 r w))))) (if (<=.f64 v #s(literal 819538402572085/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r (*.f64 r w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 9/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))))) |
(if (<=.f64 r #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))) |
(if (<=.f64 r #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w)))))) |
(if (<=.f64 r #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)))) |
(if (<=.f64 r #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))))))) |
(if (<=.f64 r #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))) |
(if (<=.f64 r #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w)))))) |
(if (<=.f64 r #s(literal 3205732122288777/696898287454081973172991196020261297061888 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))) |
(if (<=.f64 r #s(literal 3205732122288777/696898287454081973172991196020261297061888 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))))) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
(if (<=.f64 r #s(literal 5831192761049855/633825300114114700748351602688 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)) |
(if (<=.f64 r #s(literal 5831192761049855/633825300114114700748351602688 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(literal -9/2 binary64) |
| 18 674× | accelerator-lowering-fma.f32 |
| 18 674× | accelerator-lowering-fma.f64 |
| 17 894× | accelerator-lowering-fma.f32 |
| 17 894× | accelerator-lowering-fma.f64 |
| 16 952× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 318 | 9131 |
| 1 | 1023 | 8441 |
| 2 | 3410 | 8048 |
| 0 | 8496 | 7737 |
| 0 | 286 | 7848 |
| 1 | 918 | 7495 |
| 2 | 3141 | 6990 |
| 0 | 8346 | 6693 |
| 0 | 219 | 4033 |
| 1 | 725 | 3871 |
| 2 | 2527 | 3593 |
| 0 | 8200 | 3405 |
| 0 | 256 | 9873 |
| 1 | 825 | 9536 |
| 2 | 2810 | 8837 |
| 0 | 8202 | 8405 |
| 0 | 22 | 116 |
| 1 | 135 | 106 |
| 2 | 1339 | 106 |
| 0 | 8951 | 96 |
| 0 | 43 | 314 |
| 1 | 307 | 288 |
| 2 | 2473 | 288 |
| 0 | 9544 | 262 |
| 0 | 42 | 231 |
| 1 | 277 | 213 |
| 2 | 2440 | 213 |
| 0 | 9179 | 200 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 014 to 629 computations (38% saved)
(abs r)
(abs w)
Compiled 1 016 to 478 computations (53% saved)
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