Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B
Time bar (total: 3.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 199.6% | -99.6% | 0% | 0% | 0% | 1 |
| 0% | 0% | 399.2% | -299.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 798.4% | -698.4% | 0% | 0% | 0% | 3 |
| 0% | 0% | 1596.9% | -1496.9% | 0% | 0% | 0% | 4 |
| 100% | 1596.9% | 0% | -1496.9% | 0% | 0% | 0% | 5 |
Compiled 18 to 14 computations (22.2% saved)
| 900.0ms | 3627× | body | 256 | valid |
| 683.0ms | 1549× | body | 1024 | valid |
| 435.0ms | 809× | body | 2048 | valid |
| 404.0ms | 1277× | body | 512 | valid |
| 276.0ms | 994× | body | 256 | infinite |
| 2× | egg-herbie |
| 3200× | fma-def |
| 1306× | fma-neg |
| 512× | unsub-neg |
| 512× | sub-neg |
| 364× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 217 |
| 1 | 104 | 217 |
| 2 | 221 | 203 |
| 3 | 477 | 189 |
| 4 | 1171 | 161 |
| 5 | 2526 | 161 |
| 6 | 4500 | 161 |
| 7 | 4769 | 161 |
| 8 | 4808 | 161 |
| 9 | 4808 | 161 |
| 10 | 5796 | 161 |
| 11 | 5796 | 161 |
| 12 | 5796 | 161 |
| 13 | 5804 | 161 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
1 |
3 |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) t) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) y) (/.f64 (*.f64 x z) 2)) t) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) z) (/.f64 (*.f64 y x) 2)) t) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) t) (/.f64 (*.f64 y z) 2)) x) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 z y) 2)) t) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 t z) 2)) y) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y t) 2)) z) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) t) |
(-.f64 (*.f64 1/8 x) (-.f64 (/.f64 y (/.f64 2 z)) t)) |
(fma.f64 1/8 x (fma.f64 -1 (*.f64 y (/.f64 z 2)) t)) |
(-.f64 (fma.f64 1/8 x t) (*.f64 y (/.f64 z 2))) |
(fma.f64 1/8 x (fma.f64 y (/.f64 z -2) t)) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) y) (/.f64 (*.f64 x z) 2)) t) |
(+.f64 t (-.f64 (*.f64 1/8 y) (/.f64 x (/.f64 2 z)))) |
(+.f64 t (-.f64 (*.f64 1/8 y) (*.f64 (/.f64 x 2) z))) |
(fma.f64 1/8 y (fma.f64 -1 (*.f64 z (/.f64 x 2)) t)) |
(-.f64 (fma.f64 1/8 y t) (*.f64 x (/.f64 z 2))) |
(fma.f64 1/8 y (fma.f64 (/.f64 z -2) x t)) |
(fma.f64 1/8 y (fma.f64 x (/.f64 z -2) t)) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) z) (/.f64 (*.f64 y x) 2)) t) |
(+.f64 t (-.f64 (*.f64 1/8 z) (/.f64 y (/.f64 2 x)))) |
(+.f64 t (-.f64 (*.f64 1/8 z) (*.f64 (/.f64 y 2) x))) |
(fma.f64 1/8 z (fma.f64 -1 (*.f64 (/.f64 x 2) y) t)) |
(fma.f64 1/8 z (fma.f64 (/.f64 (neg.f64 y) 2) x t)) |
(fma.f64 1/8 z (fma.f64 x (/.f64 y -2) t)) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) t) (/.f64 (*.f64 y z) 2)) x) |
(+.f64 x (-.f64 (*.f64 1/8 t) (/.f64 y (/.f64 2 z)))) |
(fma.f64 1/8 t (fma.f64 -1 (*.f64 y (/.f64 z 2)) x)) |
(-.f64 (fma.f64 1/8 t x) (*.f64 y (/.f64 z 2))) |
(fma.f64 1/8 t (fma.f64 y (/.f64 z -2) x)) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 z y) 2)) t) |
(-.f64 (*.f64 1/8 x) (-.f64 (/.f64 y (/.f64 2 z)) t)) |
(fma.f64 1/8 x (fma.f64 -1 (*.f64 y (/.f64 z 2)) t)) |
(-.f64 (fma.f64 1/8 x t) (*.f64 y (/.f64 z 2))) |
(fma.f64 1/8 x (fma.f64 y (/.f64 z -2) t)) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 t z) 2)) y) |
(+.f64 y (-.f64 (*.f64 1/8 x) (/.f64 t (/.f64 2 z)))) |
(+.f64 y (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 t 2) z))) |
(fma.f64 1/8 x (fma.f64 -1 (*.f64 z (/.f64 t 2)) y)) |
(-.f64 (fma.f64 1/8 x y) (*.f64 z (/.f64 t 2))) |
(fma.f64 1/8 x (fma.f64 z (/.f64 t -2) y)) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y t) 2)) z) |
(+.f64 z (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 t)))) |
(+.f64 z (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 y 2) t))) |
(fma.f64 1/8 x (fma.f64 -1 (*.f64 (/.f64 t 2) y) z)) |
(-.f64 (fma.f64 1/8 x z) (*.f64 y (/.f64 t 2))) |
(fma.f64 1/8 x (fma.f64 t (/.f64 y -2) z)) |
(fma.f64 1/8 x (fma.f64 y (/.f64 t -2) z)) |
(sort y z)
Compiled 21 to 17 computations (19% saved)
| 1× | egg-herbie |
| 1354× | fma-def |
| 180× | cancel-sign-sub-inv |
| 118× | distribute-lft-neg-in |
| 118× | fma-neg |
| 110× | unsub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 31 |
| 1 | 30 | 31 |
| 2 | 54 | 29 |
| 3 | 106 | 27 |
| 4 | 239 | 23 |
| 5 | 460 | 23 |
| 6 | 744 | 23 |
| 7 | 1083 | 23 |
| 8 | 1521 | 23 |
| 9 | 1624 | 23 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) t) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) t) |
(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t) |
(+.f64 (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 y 2) z)) t) |
(fma.f64 1/8 x (fma.f64 -1 (*.f64 z (/.f64 y 2)) t)) |
(-.f64 (fma.f64 1/8 x t) (/.f64 (*.f64 y z) 2)) |
(fma.f64 z (/.f64 y -2) (fma.f64 1/8 x t)) |
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t)) |
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t)) |
Compiled 87 to 54 computations (37.9% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 7 | 1 | 8 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 8 | 1 | 9 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 y 2) z)) t) |
| ▶ | 100.0% | (+.f64 (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 y 2) z)) t) |
Compiled 30 to 22 computations (26.7% saved)
Compiled 42 to 27 computations (35.7% saved)
Compiled 4 to 4 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 1/8 x) (*.f64 (/.f64 y 2) z)) t) |
Compiled 43 to 31 computations (27.9% saved)
Total 0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 y 2) z)) t) |
(+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) t) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 y 2) z)) t) |
9 calls:
| 5.0ms | (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) |
| 3.0ms | (+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) t) |
| 3.0ms | (*.f64 (/.f64 1 8) x) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) t) |
| 100.0% | 1 | (-.f64 (*.f64 (/.f64 1 8) x) (/.f64 (*.f64 y z) 2)) |
| 100.0% | 1 | (*.f64 (/.f64 1 8) x) |
| 100.0% | 1 | (/.f64 (*.f64 y z) 2) |
| 100.0% | 1 | (*.f64 y z) |
Compiled 105 to 81 computations (22.9% saved)
| 1× | egg-herbie |
| 12× | +-commutative |
| 12× | *-commutative |
| 10× | sub-neg |
| 8× | neg-mul-1 |
| 8× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 31 |
| 1 | 22 | 31 |
| 2 | 36 | 31 |
| 3 | 44 | 31 |
| 4 | 50 | 31 |
| 5 | 52 | 31 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 y 2) z)) t) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 1/8 x) (*.f64 (/.f64 y 2) z)) t) |
Compiled 15 to 11 computations (26.7% saved)
| 1354× | fma-def |
| 180× | cancel-sign-sub-inv |
| 118× | distribute-lft-neg-in |
| 118× | fma-neg |
| 110× | unsub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 31 |
| 1 | 30 | 31 |
| 2 | 54 | 29 |
| 3 | 106 | 27 |
| 4 | 239 | 23 |
| 5 | 460 | 23 |
| 6 | 744 | 23 |
| 7 | 1083 | 23 |
| 8 | 1521 | 23 |
| 9 | 1624 | 23 |
| 1× | saturated |
Compiled 203 to 132 computations (35% saved)
(sort y z)
Compiled 124 to 92 computations (25.8% saved)
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