Time bar (total: 9.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.7% | 0.3% | 0 |
| 0% | 99.7% | 0.3% | 1 |
| 0% | 99.7% | 0.3% | 2 |
| 0% | 99.7% | 0.3% | 3 |
| 0% | 99.7% | 0.3% | 4 |
| 0% | 99.7% | 0.3% | 5 |
| 0% | 99.7% | 0.3% | 6 |
| 0% | 99.7% | 0.3% | 7 |
| 0% | 99.7% | 0.3% | 8 |
| 0% | 99.7% | 0.3% | 9 |
| 0% | 99.7% | 0.3% | 10 |
| 0% | 99.7% | 0.3% | 11 |
| 0% | 99.7% | 0.3% | 12 |
| 1.6% | 98.1% | 0.3% | 13 |
| 2.3% | 97.4% | 0.3% | 14 |
Compiled 24 to 18 computations (25% saved)
| 1× | intervals |
(sort y z t)
(sort a b)
| 14.0ms | 256× | body | 128 | valid |
| 5.0ms | 97× | body | 128 | invalid |
Compiled 53 to 41 computations (22.6% saved)
| 1× | egg-herbie |
| 712× | fma-neg_binary64 |
| 641× | fma-def_binary64 |
| 213× | cancel-sign-sub-inv_binary64 |
| 172× | distribute-rgt-neg-in_binary64 |
| 157× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 25 |
| 1 | 39 | 23 |
| 2 | 115 | 21 |
| 3 | 308 | 21 |
| 4 | 552 | 21 |
| 5 | 902 | 21 |
| 6 | 1201 | 21 |
| 7 | 1433 | 21 |
| 8 | 1672 | 21 |
| 9 | 1787 | 21 |
| 10 | 1791 | 21 |
| 11 | 1791 | 21 |
| 12 | 1791 | 21 |
| 13 | 1674 | 21 |
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 |
| ▶ | 2.7b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 4.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
Compiled 126 to 90 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 x 2 (*.f64 (*.f64 a 27) b)) |
| ✓ | 0.2b | (*.f64 (*.f64 a 27) b) |
| ✓ | 0.2b | (*.f64 (*.f64 z t) -9) |
| ✓ | 2.4b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
4 calls:
| 34.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 7.0ms | (*.f64 (*.f64 z t) -9) |
| 7.0ms | (fma.f64 x 2 (*.f64 (*.f64 a 27) b)) |
| 4.0ms | (*.f64 (*.f64 a 27) b) |
| 1× | rewrite-expression-head |
| 14× | add-cbrt-cube_binary64 |
| 14× | add-exp-log_binary64 |
| 14× | pow1_binary64 |
| 6× | associate-*r*_binary64 |
| 6× | cbrt-unprod_binary64 |
4 calls:
| 4.0ms | (*.f64 (*.f64 z t) -9) |
| 3.0ms | (*.f64 (*.f64 a 27) b) |
| 0.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 0.0ms | (fma.f64 x 2 (*.f64 (*.f64 a 27) b)) |
| 1× | egg-herbie |
| 868× | unswap-sqr_binary64 |
| 419× | *-commutative_binary64 |
| 321× | distribute-lft-in_binary64 |
| 321× | distribute-rgt-in_binary64 |
| 310× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 2976 |
| 1 | 250 | 2724 |
| 2 | 873 | 2724 |
| 3 | 1485 | 2724 |
| 4 | 2922 | 2724 |
| 5 | 5289 | 2724 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 5 | 107 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 6 | 109 |
| Status | Error | Program |
| ▶ | 2.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 4.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 3.0b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))) | |
| 2.9b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) | |
| 28.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (sqrt.f64 (*.f64 (*.f64 a 27) b)) (sqrt.f64 (*.f64 (*.f64 a 27) b))))) | |
| 3.7b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b)))) (cbrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))))) (cbrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))))) |
Compiled 2462 to 1426 computations (42.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| ✓ | 0.2b | (*.f64 9 (*.f64 y (*.f64 t z))) |
| ✓ | 0.3b | (*.f64 27 (*.f64 a b)) |
| ✓ | 6.9b | (*.f64 y (*.f64 t z)) |
4 calls:
| 33.0ms | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 9.0ms | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 8.0ms | (*.f64 y (*.f64 t z)) |
| 4.0ms | (*.f64 27 (*.f64 a b)) |
| 1× | rewrite-expression-head |
| 23× | add-cbrt-cube_binary64 |
| 23× | add-exp-log_binary64 |
| 23× | pow1_binary64 |
| 12× | cbrt-unprod_binary64 |
| 12× | prod-exp_binary64 |
4 calls:
| 8.0ms | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 6.0ms | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 3.0ms | (*.f64 y (*.f64 t z)) |
| 3.0ms | (*.f64 27 (*.f64 a b)) |
| 1× | egg-herbie |
| 535× | *-commutative_binary64 |
| 493× | cancel-sign-sub-inv_binary64 |
| 462× | fma-def_binary64 |
| 344× | fma-neg_binary64 |
| 215× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1662 |
| 1 | 345 | 1372 |
| 2 | 1238 | 1339 |
| 3 | 3334 | 1327 |
| 4 | 4946 | 1327 |
| 5 | 4810 | 1327 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 106 | 4 | 110 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 107 | 9 | 116 |
| Status | Error | Program |
| 2.9b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) | |
| 34.8b | (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x))) (*.f64 (*.f64 9 (*.f64 y (*.f64 t z))) (*.f64 9 (*.f64 y (*.f64 t z))))) (+.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z))))) | |
| ✓ | 2.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 4.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 2.9b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))))) | |
| 3.0b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))) | |
| ▶ | 2.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) |
| 28.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (sqrt.f64 (*.f64 (*.f64 a 27) b)) (sqrt.f64 (*.f64 (*.f64 a 27) b))))) | |
| 4.9b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 (*.f64 y t) z))) |
Compiled 3151 to 1682 computations (46.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3)) |
| ✓ | 0.2b | (*.f64 (*.f64 y (*.f64 t z)) 3) |
| 0.3b | (*.f64 27 (*.f64 a b)) | |
| 6.9b | (*.f64 y (*.f64 t z)) |
2 calls:
| 12.0ms | (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3)) |
| 9.0ms | (*.f64 (*.f64 y (*.f64 t z)) 3) |
| 1× | rewrite-expression-head |
| 25× | add-cbrt-cube_binary64 |
| 25× | add-exp-log_binary64 |
| 25× | pow1_binary64 |
| 16× | cbrt-unprod_binary64 |
| 16× | prod-exp_binary64 |
2 calls:
| 7.0ms | (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3)) |
| 5.0ms | (*.f64 (*.f64 y (*.f64 t z)) 3) |
| 1× | egg-herbie |
| 486× | sqr-pow_binary64 |
| 440× | *-commutative_binary64 |
| 302× | fma-def_binary64 |
| 299× | cube-prod_binary64 |
| 257× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1577 |
| 1 | 188 | 1346 |
| 2 | 764 | 1346 |
| 3 | 1385 | 1346 |
| 4 | 2206 | 1346 |
| 5 | 3306 | 1346 |
| 6 | 4659 | 1346 |
| 7 | 4971 | 1346 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 0 | 109 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 109 | 9 | 118 |
| Status | Error | Program |
| 2.9b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) | |
| 34.8b | (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x))) (*.f64 (*.f64 9 (*.f64 y (*.f64 t z))) (*.f64 9 (*.f64 y (*.f64 t z))))) (+.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z))))) | |
| ✓ | 2.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 4.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| ▶ | 2.9b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))))) |
| 3.0b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))) | |
| ✓ | 2.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) |
| 28.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (sqrt.f64 (*.f64 (*.f64 a 27) b)) (sqrt.f64 (*.f64 (*.f64 a 27) b))))) | |
| 4.9b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 (*.f64 y t) z))) |
Compiled 3311 to 1928 computations (41.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) |
| 6.9b | (*.f64 y (*.f64 t z)) | |
| ✓ | 12.5b | (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) |
3 calls:
| 1.4s | (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) |
| 682.0ms | (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 76.0ms | (*.f64 (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) |
| 1× | rewrite-expression-head |
| 29× | pow1_binary64 |
| 16× | pow1/3_binary64 |
| 11× | pow-prod-up_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | add-exp-log_binary64 |
3 calls:
| 11.0ms | (*.f64 (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) |
| 5.0ms | (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) |
| 3.0ms | (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 1× | egg-herbie |
| 348× | fma-neg_binary64 |
| 338× | unswap-sqr_binary64 |
| 298× | exp-prod_binary64 |
| 282× | exp-sum_binary64 |
| 275× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 3802 |
| 1 | 421 | 3569 |
| 2 | 918 | 3061 |
| 3 | 2393 | 2802 |
| 4 | 4807 | 2802 |
| 5 | 5079 | 2802 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 1 | 261 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 261 | 9 | 270 |
| Status | Error | Program |
| 2.9b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) | |
| 34.8b | (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x))) (*.f64 (*.f64 9 (*.f64 y (*.f64 t z))) (*.f64 9 (*.f64 y (*.f64 t z))))) (+.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z))))) | |
| ✓ | 2.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 4.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| ✓ | 2.9b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z))))) (cbrt.f64 (*.f64 9 (*.f64 y (*.f64 t z)))))) |
| 4.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 t (*.f64 z y)))) | |
| 3.0b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))) | |
| ✓ | 2.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) |
| 28.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (sqrt.f64 (*.f64 (*.f64 a 27) b)) (sqrt.f64 (*.f64 (*.f64 a 27) b))))) |
Compiled 10745 to 5418 computations (49.6% saved)
Total 0.8b remaining (97.1%)
Threshold costs 0.8b (97.1%)
Compiled 30459 to 22210 computations (27.1% saved)
Compiled 23 to 17 computations (26.1% saved)
| 1× | egg-herbie |
| 23× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | distribute-rgt-neg-in_binary64 |
| 11× | distribute-lft-neg-in_binary64 |
| 11× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 133 |
| 1 | 65 | 133 |
| 2 | 87 | 133 |
| 3 | 111 | 133 |
| 4 | 130 | 133 |
| 5 | 138 | 133 |
| 6 | 140 | 133 |
| 7 | 139 | 133 |
Compiled 480 to 325 computations (32.3% saved)
| 1× | intervals |
| 502.0ms | 8000× | body | 128 | valid |
| 194.0ms | 3012× | body | 128 | invalid |
Compiled 400 to 275 computations (31.3% saved)
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