Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D
Time bar (total: 2.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 199.7% | -99.7% | 0% | 0% | 0% | 1 |
| 0% | 0% | 399.4% | -299.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 798.8% | -698.8% | 0% | 0% | 0% | 3 |
| 100% | 798.8% | 0% | -698.8% | 0% | 0% | 0% | 4 |
Compiled 13 to 10 computations (23.1% saved)
| 2.1s | 7219× | body | 256 | valid |
| 280.0ms | 1037× | body | 256 | infinite |
| 2× | egg-herbie |
| 2340× | fma-def |
| 234× | fma-neg |
| 216× | distribute-lft-neg-in |
| 192× | associate-/l* |
| 192× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 100 |
| 1 | 39 | 100 |
| 2 | 65 | 100 |
| 3 | 103 | 100 |
| 4 | 185 | 84 |
| 5 | 296 | 84 |
| 6 | 645 | 84 |
| 7 | 1263 | 84 |
| 8 | 2054 | 84 |
| 9 | 2713 | 84 |
| 10 | 2803 | 84 |
| 11 | 2809 | 84 |
| 12 | 2809 | 84 |
| 13 | 2813 | 84 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8)) |
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8)) |
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8)) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8)) |
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8)) |
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8)) |
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (/.f64 x (/.f64 2 y))) |
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8)) |
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8)) |
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8)) |
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8)) |
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (/.f64 x (/.f64 2 y))) |
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8)) |
(-.f64 (/.f64 z (/.f64 2 y)) (/.f64 x 8)) |
(-.f64 (*.f64 (/.f64 z 2) y) (/.f64 x 8)) |
(-.f64 (*.f64 y (/.f64 z 2)) (/.f64 x 8)) |
(-.f64 (*.f64 z (/.f64 y 2)) (/.f64 x 8)) |
(fma.f64 y (/.f64 z 2) (*.f64 -1/8 x)) |
(fma.f64 y (/.f64 z 2) (*.f64 x -1/8)) |
(fma.f64 y (*.f64 1/2 z) (*.f64 x -1/8)) |
(fma.f64 y (*.f64 z 1/2) (*.f64 x -1/8)) |
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8)) |
(-.f64 (*.f64 (/.f64 x 2) z) (/.f64 y 8)) |
(-.f64 (*.f64 z (/.f64 x 2)) (/.f64 y 8)) |
(fma.f64 x (/.f64 z 2) (*.f64 -1/8 y)) |
(fma.f64 -1/8 y (/.f64 (*.f64 x z) 2)) |
(fma.f64 x (/.f64 z 2) (*.f64 y -1/8)) |
(fma.f64 x (*.f64 1/2 z) (*.f64 y -1/8)) |
(fma.f64 x (*.f64 z 1/2) (*.f64 y -1/8)) |
(sort x y)
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 704× | fma-def |
| 92× | distribute-lft-neg-in |
| 86× | cancel-sign-sub-inv |
| 68× | distribute-rgt-in |
| 68× | associate-*r* |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 17 | 25 |
| 2 | 28 | 25 |
| 3 | 42 | 25 |
| 4 | 72 | 21 |
| 5 | 119 | 21 |
| 6 | 232 | 21 |
| 7 | 419 | 21 |
| 8 | 668 | 21 |
| 9 | 966 | 21 |
| 10 | 1079 | 21 |
| 11 | 1105 | 21 |
| 12 | 1108 | 21 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8)) |
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8)) |
(fma.f64 (/.f64 x 2) y (/.f64 (neg.f64 z) 8)) |
(fma.f64 (/.f64 y 2) x (/.f64 (neg.f64 z) 8)) |
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z)) |
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8)) |
(fma.f64 z -1/8 (/.f64 y (/.f64 2 x))) |
(fma.f64 z -1/8 (*.f64 1/2 (*.f64 x y))) |
(fma.f64 z -1/8 (*.f64 (*.f64 x y) 1/2)) |
(fma.f64 (*.f64 x y) 1/2 (*.f64 z -1/8)) |
Compiled 96 to 59 computations (38.5% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 10 | 1 | 11 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 10 | 2 | 12 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| ▶ | 100.0% | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
Compiled 24 to 18 computations (25% saved)
Compiled 29 to 16 computations (44.8% saved)
Compiled 3 to 3 computations (0% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
Compiled 24 to 18 computations (25% saved)
| 1× | egg-herbie |
| 6× | sub-neg |
| 6× | +-commutative |
| 6× | *-commutative |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 15 | 25 |
| 2 | 22 | 25 |
| 3 | 26 | 25 |
| 4 | 29 | 25 |
| 5 | 30 | 25 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
Compiled 12 to 9 computations (25% saved)
(sort x y)
Compiled 72 to 54 computations (25% saved)
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