Time bar (total: 4.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 15.6% | 84.2% | 0.2% | 8 |
| 15.6% | 84.2% | 0.2% | 9 |
| 20.3% | 79.5% | 0.2% | 10 |
| 25.3% | 74.5% | 0.2% | 11 |
| 34.2% | 65.6% | 0.2% | 12 |
| 37.4% | 62% | 0.6% | 13 |
| 41.7% | 57.7% | 0.6% | 14 |
Compiled 20 to 14 computations (30% saved)
| 1× | intervals |
| 14.0ms | 256× | body | 128 | valid |
| 6.0ms | 99× | body | 128 | invalid |
Compiled 43 to 31 computations (27.9% saved)
| 1× | egg-herbie |
| 871× | distribute-rgt-in_binary64 |
| 685× | div-sub_binary64 |
| 652× | distribute-lft-in_binary64 |
| 409× | distribute-neg-frac_binary64 |
| 395× | sub-neg_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 25 | 22 |
| 2 | 58 | 22 |
| 3 | 109 | 22 |
| 4 | 223 | 20 |
| 5 | 437 | 16 |
| 6 | 876 | 14 |
| 7 | 2098 | 14 |
| 8 | 2320 | 14 |
| 9 | 2451 | 14 |
| 10 | 3042 | 14 |
| 11 | 3226 | 14 |
| 12 | 3327 | 14 |
| 13 | 4913 | 14 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| ▶ | 4.5b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 4.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
Compiled 95 to 62 computations (34.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (/.f64 -1/3 z) |
| ✓ | 4.1b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
2 calls:
| 23.0ms | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 2.0ms | (/.f64 -1/3 z) |
| 1× | rewrite-expression-head |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 4× | add-cbrt-cube_binary64 |
2 calls:
| 3.0ms | (/.f64 -1/3 z) |
| 0.0ms | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 1× | egg-herbie |
| 701× | fma-neg_binary64 |
| 412× | associate-/l*_binary64 |
| 315× | times-frac_binary64 |
| 259× | associate-/r/_binary64 |
| 234× | distribute-lft-neg-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 1261 |
| 1 | 157 | 1082 |
| 2 | 291 | 1010 |
| 3 | 548 | 1010 |
| 4 | 1924 | 1010 |
| 5 | 4555 | 1010 |
| 6 | 5098 | 1010 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 8 | 64 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 57 | 9 | 66 |
| Status | Error | Program |
| 4.8b | (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z))) | |
| 4.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) | |
| 30.2b | (*.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) | |
| 5.1b | (fma.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 -1/3) (cbrt.f64 z))) (-.f64 y (/.f64 t y)) x) | |
| 5.0b | (fma.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 -1/3 z)) (cbrt.f64 (/.f64 -1/3 z))) (cbrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| 33.8b | (fma.f64 (*.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| ▶ | 4.5b | (fma.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z) x) |
| 4.5b | (fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x) | |
| 30.0b | (/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z) |
Compiled 1283 to 636 computations (50.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z) x) |
| ✓ | 4.1b | (/.f64 (-.f64 (/.f64 t y) y) z) |
2 calls:
| 27.0ms | (fma.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z) x) |
| 18.0ms | (/.f64 (-.f64 (/.f64 t y) y) z) |
| 1× | rewrite-expression-head |
| 33× | add-sqr-sqrt_binary64 |
| 22× | times-frac_binary64 |
| 21× | *-un-lft-identity_binary64 |
| 13× | add-cube-cbrt_binary64 |
| 8× | difference-of-squares_binary64 |
2 calls:
| 9.0ms | (/.f64 (-.f64 (/.f64 t y) y) z) |
| 0.0ms | (fma.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z) x) |
| 1× | egg-herbie |
| 743× | times-frac_binary64 |
| 663× | distribute-rgt-in_binary64 |
| 648× | distribute-lft-in_binary64 |
| 413× | fma-def_binary64 |
| 225× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 2110 |
| 1 | 267 | 1839 |
| 2 | 574 | 1830 |
| 3 | 1485 | 1828 |
| 4 | 5109 | 1828 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 2 | 87 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 88 | 8 | 96 |
| Status | Error | Program |
| 4.8b | (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z))) | |
| 4.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) | |
| ▶ | 4.5b | (fma.f64 1/3 (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) x) |
| 5.0b | (fma.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 -1/3 z)) (cbrt.f64 (/.f64 -1/3 z))) (cbrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| 33.8b | (fma.f64 (*.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| 5.0b | (fma.f64 1/3 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (-.f64 (/.f64 t y) y) (cbrt.f64 z))) x) | |
| ✓ | 4.5b | (fma.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z) x) |
| 30.0b | (/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z) |
Compiled 1752 to 621 computations (64.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f64 1/3 (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) x) |
| ✓ | 4.3b | (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) |
2 calls:
| 27.0ms | (fma.f64 1/3 (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) x) |
| 17.0ms | (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) |
| 1× | rewrite-expression-head |
| 22× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 13× | *-un-lft-identity_binary64 |
| 12× | times-frac_binary64 |
| 11× | add-exp-log_binary64 |
2 calls:
| 11.0ms | (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) |
| 0.0ms | (fma.f64 1/3 (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) x) |
| 1× | egg-herbie |
| 827× | fma-def_binary64 |
| 293× | distribute-rgt-neg-out_binary64 |
| 287× | distribute-lft-neg-out_binary64 |
| 247× | fma-neg_binary64 |
| 242× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 2041 |
| 1 | 280 | 1727 |
| 2 | 763 | 1718 |
| 3 | 2301 | 1716 |
| 4 | 4892 | 1716 |
| 5 | 5014 | 1716 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 1 | 105 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 105 | 8 | 113 |
| Status | Error | Program |
| 4.8b | (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z))) | |
| ▶ | 4.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
| ✓ | 4.5b | (fma.f64 1/3 (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) x) |
| 30.0b | (/.f64 (*.f64 (-.f64 (/.f64 t y) y) 1/3) z) | |
| 5.0b | (fma.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 -1/3 z)) (cbrt.f64 (/.f64 -1/3 z))) (cbrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| 33.8b | (fma.f64 (*.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| 5.0b | (fma.f64 1/3 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (-.f64 (/.f64 t y) y) (cbrt.f64 z))) x) | |
| ✓ | 4.5b | (fma.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z) x) |
Compiled 2122 to 917 computations (56.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
| ✓ | 0.2b | (*.f64 (*.f64 z 3) y) |
| ✓ | 0.2b | (/.f64 y (*.f64 z 3)) |
| ✓ | 6.5b | (/.f64 t (*.f64 (*.f64 z 3) y)) |
4 calls:
| 61.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
| 20.0ms | (/.f64 t (*.f64 (*.f64 z 3) y)) |
| 7.0ms | (/.f64 y (*.f64 z 3)) |
| 5.0ms | (*.f64 (*.f64 z 3) y) |
| 1× | rewrite-expression-head |
| 32× | *-un-lft-identity_binary64 |
| 29× | associate-+l+_binary64 |
| 27× | add-sqr-sqrt_binary64 |
| 25× | add-cube-cbrt_binary64 |
| 23× | add-cbrt-cube_binary64 |
4 calls:
| 12.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
| 4.0ms | (/.f64 t (*.f64 (*.f64 z 3) y)) |
| 4.0ms | (*.f64 (*.f64 z 3) y) |
| 3.0ms | (/.f64 y (*.f64 z 3)) |
| 1× | egg-herbie |
| 588× | fma-def_binary64 |
| 317× | associate-/l/_binary64 |
| 254× | distribute-rgt-in_binary64 |
| 243× | fma-neg_binary64 |
| 235× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 4171 |
| 1 | 601 | 3297 |
| 2 | 2065 | 2964 |
| 3 | 4498 | 2964 |
| 4 | 4876 | 2964 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 2 | 200 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 201 | 7 | 208 |
| Status | Error | Program |
| 4.8b | (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z))) | |
| ✓ | 4.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
| ✓ | 4.5b | (fma.f64 1/3 (*.f64 (-.f64 (/.f64 t y) y) (/.f64 1 z)) x) |
| 30.0b | (/.f64 (*.f64 (-.f64 (/.f64 t y) y) 1/3) z) | |
| 4.4b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 1 (*.f64 z 3)) (/.f64 t y))) | |
| 33.8b | (fma.f64 (*.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| 4.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 3 (*.f64 y z)))) |
Compiled 5001 to 2882 computations (42.4% saved)
Total 0.4b remaining (92.7%)
Threshold costs 0.4b (92.7%)
Compiled 6668 to 4537 computations (32% saved)
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 87 |
| 1 | 42 | 87 |
| 2 | 48 | 87 |
| 3 | 52 | 87 |
| 4 | 55 | 87 |
| 5 | 56 | 87 |
| 6 | 55 | 87 |
Compiled 63 to 43 computations (31.7% saved)
| 1× | intervals |
| 501.0ms | 8000× | body | 128 | valid |
| 177.0ms | 3026× | body | 128 | invalid |
Compiled 214 to 149 computations (30.4% saved)
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