Time bar (total: 41.7s)
| 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 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 3.5% | 96.2% | 0.2% | 10 |
| 9.5% | 90.2% | 0.2% | 11 |
| 14.3% | 85.4% | 0.2% | 12 |
| 16.5% | 83.2% | 0.2% | 13 |
| 25.9% | 73.9% | 0.2% | 14 |
Compiled 17 to 11 computations (35.3% saved)
| 1.0s | 8254× | body | 128 | valid |
| 90.0ms | 718× | body | 128 | invalid |
| 0.0ms | 1× | body | 2048 | valid |
| 0.0ms | 1× | body | 1024 | valid |
Compiled 50 to 32 computations (36% saved)
| 1× | egg-herbie |
| 1893× | fma-neg_binary64 |
| 867× | div-sub_binary64 |
| 749× | fma-def_binary64 |
| 696× | distribute-rgt-in_binary64 |
| 535× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 18 | 16 |
| 2 | 40 | 14 |
| 3 | 81 | 14 |
| 4 | 160 | 14 |
| 5 | 302 | 14 |
| 6 | 620 | 14 |
| 7 | 1528 | 14 |
| 8 | 2624 | 14 |
| 9 | 2858 | 14 |
| 10 | 3205 | 14 |
| 11 | 3392 | 14 |
| 12 | 3498 | 14 |
| 13 | 3533 | 14 |
| 14 | 5398 | 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 |
| ▶ | 2.5b | (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) |
| 10.6b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) |
Compiled 88 to 50 computations (43.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 t (-.f64 a z)) |
| ✓ | 2.4b | (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) |
2 calls:
| 37.0ms | (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) |
| 17.0ms | (/.f64 t (-.f64 a z)) |
| 1× | rewrite-expression-head |
| 20× | *-un-lft-identity_binary64 |
| 20× | add-sqr-sqrt_binary64 |
| 15× | times-frac_binary64 |
| 12× | add-cube-cbrt_binary64 |
| 5× | associate-/r*_binary64 |
2 calls:
| 4.0ms | (/.f64 t (-.f64 a z)) |
| 0.0ms | (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) |
| 1× | egg-herbie |
| 690× | times-frac_binary64 |
| 633× | fma-def_binary64 |
| 620× | associate-/l*_binary64 |
| 272× | cancel-sign-sub-inv_binary64 |
| 175× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 3215 |
| 1 | 492 | 3156 |
| 2 | 1711 | 2520 |
| 3 | 5110 | 2520 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 3 | 108 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 105 | 5 | 110 |
| Status | Error | Program |
| 33.4b | (fma.f64 (-.f64 y z) (/.f64 (/.f64 t (sqrt.f64 (-.f64 a z))) (sqrt.f64 (-.f64 a z))) x) | |
| ✓ | 2.5b | (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) |
| 3.1b | (fma.f64 (-.f64 y z) (*.f64 (/.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 t) (cbrt.f64 (-.f64 a z)))) x) | |
| 10.6b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) | |
| ▶ | 1.8b | (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x) |
Compiled 2441 to 769 computations (68.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x) |
| ✓ | 0.0b | (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))) |
| ✓ | 0.0b | (/.f64 z (-.f64 a z)) |
| ✓ | 2.6b | (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) |
4 calls:
| 48.0ms | (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) |
| 47.0ms | (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x) |
| 27.0ms | (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))) |
| 9.0ms | (/.f64 z (-.f64 a z)) |
| 1× | rewrite-expression-head |
| 3320× | *-un-lft-identity_binary64 |
| 3302× | add-sqr-sqrt_binary64 |
| 3291× | times-frac_binary64 |
| 2205× | prod-diff_binary64 |
| 1964× | add-cube-cbrt_binary64 |
4 calls:
| 95.0ms | (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x) |
| 55.0ms | (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) |
| 33.0ms | (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))) |
| 4.0ms | (/.f64 z (-.f64 a z)) |
| 1× | egg-herbie |
| 933× | times-frac_binary64 |
| 426× | *-commutative_binary64 |
| 366× | distribute-rgt-in_binary64 |
| 308× | fma-udef_binary64 |
| 262× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1501 | 146886 |
| 1 | 2683 | 107534 |
| 2 | 4549 | 94985 |
| 3 | 4492 | 94985 |
| 4 | 5169 | 94985 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2820 | 1 | 2821 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 2821 | 5 | 2826 |
| Status | Error | Program |
| 33.4b | (fma.f64 (-.f64 y z) (/.f64 (/.f64 t (sqrt.f64 (-.f64 a z))) (sqrt.f64 (-.f64 a z))) x) | |
| ✓ | 2.5b | (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) |
| 10.6b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) | |
| ✓ | 1.8b | (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x) |
| ▶ | 2.7b | (+.f64 (*.f64 (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) x) |
Compiled 162137 to 28034 computations (82.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) |
| ✓ | 0.5b | (cbrt.f64 (-.f64 a z)) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) |
| ✓ | 7.0b | (*.f64 (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) |
4 calls:
| 1.6s | (*.f64 (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) |
| 571.0ms | (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) |
| 40.0ms | (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) |
| 30.0ms | (cbrt.f64 (-.f64 a z)) |
| 1× | rewrite-expression-head |
| 2967× | times-frac_binary64 |
| 2640× | add-sqr-sqrt_binary64 |
| 2632× | *-un-lft-identity_binary64 |
| 1883× | cbrt-prod_binary64 |
| 1852× | add-cube-cbrt_binary64 |
4 calls:
| 122.0ms | (*.f64 (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) |
| 10.0ms | (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) |
| 9.0ms | (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) |
| 2.0ms | (cbrt.f64 (-.f64 a z)) |
| 1× | egg-herbie |
| 634× | associate-*l/_binary64 |
| 552× | fma-udef_binary64 |
| 153× | fma-def_binary64 |
| 64× | neg-mul-1_binary64 |
| 62× | neg-sub0_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2505 | 266606 |
| 1 | 4864 | 257216 |
| 2 | 4986 | 257086 |
| 3 | 5000 | 257086 |
| 4 | 4976 | 257086 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2741 | 1 | 2742 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 2741 | 6 | 2747 |
| Status | Error | Program |
| 33.4b | (fma.f64 (-.f64 y z) (/.f64 (/.f64 t (sqrt.f64 (-.f64 a z))) (sqrt.f64 (-.f64 a z))) x) | |
| ✓ | 2.5b | (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) |
| 10.6b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) | |
| ▶ | 2.9b | (+.f64 (*.f64 (/.f64 t (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) x) |
| ✓ | 1.8b | (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x) |
| ✓ | 2.7b | (+.f64 (*.f64 (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) x) |
Compiled 236271 to 34049 computations (85.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) |
| ✓ | 0.6b | (cbrt.f64 (cbrt.f64 (-.f64 a z))) |
| ✓ | 0.6b | (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) |
| ✓ | 7.0b | (*.f64 (/.f64 t (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) |
4 calls:
| 1.7s | (*.f64 (/.f64 t (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) |
| 49.0ms | (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) |
| 43.0ms | (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) |
| 34.0ms | (cbrt.f64 (cbrt.f64 (-.f64 a z))) |
| 1× | rewrite-expression-head |
| 5480× | cbrt-div_binary64 |
| 2963× | times-frac_binary64 |
| 2651× | add-sqr-sqrt_binary64 |
| 2635× | *-un-lft-identity_binary64 |
| 2200× | frac-times_binary64 |
4 calls:
| 392.0ms | (*.f64 (/.f64 t (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) |
| 13.0ms | (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) |
| 9.0ms | (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) |
| 3.0ms | (cbrt.f64 (cbrt.f64 (-.f64 a z))) |
| 1× | egg-herbie |
| 636× | associate-*l/_binary64 |
| 552× | fma-udef_binary64 |
| 62× | neg-mul-1_binary64 |
| 60× | sub-neg_binary64 |
| 60× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3085 | 470856 |
| 1 | 5380 | 470856 |
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3980 | 0 | 3980 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 3980 | 6 | 3986 |
| Status | Error | Program |
| 33.4b | (fma.f64 (-.f64 y z) (/.f64 (/.f64 t (sqrt.f64 (-.f64 a z))) (sqrt.f64 (-.f64 a z))) x) | |
| ✓ | 2.5b | (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) |
| 10.6b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) | |
| ✓ | 2.9b | (+.f64 (*.f64 (/.f64 t (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) x) |
| ✓ | 1.8b | (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x) |
| ✓ | 2.7b | (+.f64 (*.f64 (/.f64 t (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 (/.f64 y (cbrt.f64 (-.f64 a z))) (/.f64 z (cbrt.f64 (-.f64 a z))))) x) |
Compiled 487064 to 61972 computations (87.3% saved)
Total 0.2b remaining (93.5%)
Threshold costs 0.2b (93.5%)
Compiled 8836 to 4825 computations (45.4% saved)
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 86 |
| 1 | 31 | 86 |
| 2 | 41 | 86 |
| 3 | 45 | 86 |
| 4 | 47 | 86 |
| 5 | 47 | 86 |
Compiled 288 to 118 computations (59% saved)
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