Time bar (total: 8.2s)
| 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 |
| 15.0ms | 256× | body | 128 | valid |
| 6.0ms | 110× | 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 |
| 4.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| ▶ | 2.6b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.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 z t) -9) |
| ✓ | 0.5b | (*.f64 (*.f64 a 27) b) |
| ✓ | 2.1b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
4 calls:
| 29.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 7.0ms | (fma.f64 x 2 (*.f64 (*.f64 a 27) b)) |
| 5.0ms | (*.f64 (*.f64 z t) -9) |
| 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) |
| 4.0ms | (*.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 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 6 | 107 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 102 | 7 | 109 |
| Status | Error | Program |
| ▶ | 2.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 4.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 2.6b | (fma.f64 y (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 3.6b | (*.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))))) | |
| 2.6b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) | |
| 40.2b | (cbrt.f64 (pow.f64 (fma.f64 27 (*.f64 a b) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) | |
| 13.6b | (fma.f64 y (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z t) (*.f64 z t)) (*.f64 z t)) (*.f64 (*.f64 -9 -9) -9))) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
Compiled 2520 to 1472 computations (41.6% 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 27 (*.f64 a b)) |
| ✓ | 0.3b | (*.f64 9 (*.f64 y (*.f64 t z))) |
| ✓ | 7.2b | (*.f64 y (*.f64 t z)) |
4 calls:
| 31.0ms | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 11.0ms | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 8.0ms | (*.f64 y (*.f64 t z)) |
| 8.0ms | (*.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:
| 10.0ms | (*.f64 y (*.f64 t z)) |
| 7.0ms | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 5.0ms | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 4.0ms | (*.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 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 5 | 110 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 110 | 7 | 117 |
| Status | Error | Program |
| 2.6b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) | |
| ▶ | 2.3b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 9 y) (*.f64 t z))) |
| 2.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) | |
| 2.6b | (fma.f64 y (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 17.2b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (cbrt.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 t z)) 3) 729))) | |
| 5.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 (*.f64 y t) z))) | |
| 2.4b | (-.f64 (+.f64 (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
Compiled 2974 to 1591 computations (46.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 9 y) (*.f64 t z))) |
| 0.2b | (*.f64 27 (*.f64 a b)) | |
| ✓ | 7.2b | (*.f64 (*.f64 9 y) (*.f64 t z)) |
3 calls:
| 31.0ms | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 9 y) (*.f64 t z))) |
| 10.0ms | (*.f64 (*.f64 9 y) (*.f64 t z)) |
| 8.0ms | (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) |
| 1× | rewrite-expression-head |
| 15× | add-cbrt-cube_binary64 |
| 15× | add-exp-log_binary64 |
| 15× | pow1_binary64 |
| 10× | add-log-exp_binary64 |
| 8× | cbrt-unprod_binary64 |
3 calls:
| 7.0ms | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 9 y) (*.f64 t z))) |
| 5.0ms | (*.f64 (*.f64 9 y) (*.f64 t z)) |
| 4.0ms | (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) |
| 1× | egg-herbie |
| 770× | fma-def_binary64 |
| 527× | *-commutative_binary64 |
| 468× | fma-neg_binary64 |
| 354× | cancel-sign-sub-inv_binary64 |
| 255× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 3043 |
| 1 | 348 | 2806 |
| 2 | 1369 | 2772 |
| 3 | 4204 | 2772 |
| 4 | 4996 | 2772 |
| 5 | 4891 | 2772 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 0 | 121 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 121 | 7 | 128 |
| Status | Error | Program |
| 2.6b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) | |
| ✓ | 2.3b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 9 y) (*.f64 t z))) |
| 2.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) | |
| 2.6b | (fma.f64 y (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 17.2b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (cbrt.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 t z)) 3) 729))) | |
| 5.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 (*.f64 y t) z))) | |
| ▶ | 2.4b | (-.f64 (+.f64 (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
Compiled 3274 to 1881 computations (42.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) |
| 0.3b | (*.f64 9 (*.f64 y (*.f64 t z))) | |
| ✓ | 0.3b | (*.f64 (sqrt.f64 27) (*.f64 a b)) |
| 7.2b | (*.f64 y (*.f64 t z)) |
2 calls:
| 26.0ms | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) |
| 9.0ms | (*.f64 (sqrt.f64 27) (*.f64 a b)) |
| 1× | rewrite-expression-head |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 16× | pow1_binary64 |
| 12× | associate-*l*_binary64 |
| 9× | cbrt-unprod_binary64 |
2 calls:
| 7.0ms | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) |
| 5.0ms | (*.f64 (sqrt.f64 27) (*.f64 a b)) |
| 1× | egg-herbie |
| 383× | unswap-sqr_binary64 |
| 346× | *-commutative_binary64 |
| 338× | associate-+l+_binary64 |
| 326× | distribute-rgt-in_binary64 |
| 291× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 975 |
| 1 | 164 | 879 |
| 2 | 556 | 879 |
| 3 | 859 | 871 |
| 4 | 1168 | 871 |
| 5 | 1833 | 871 |
| 6 | 4012 | 871 |
| 7 | 4659 | 871 |
| 8 | 4999 | 871 |
| 9 | 4933 | 871 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 0 | 116 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 116 | 7 | 123 |
| Status | Error | Program |
| 2.6b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) | |
| ✓ | 2.3b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (*.f64 9 y) (*.f64 t z))) |
| 2.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) | |
| 2.6b | (fma.f64 y (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 17.2b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (cbrt.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 t z)) 3) 729))) | |
| 5.7b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 (*.f64 y t) z))) | |
| ✓ | 2.4b | (-.f64 (+.f64 (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
Compiled 3229 to 1984 computations (38.6% saved)
Total 0.8b remaining (96.1%)
Threshold costs 0.8b (96.1%)
Compiled 33726 to 24691 computations (26.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 3 | 8.89673817723656e+45 | 9.693225481885211e+50 | 1.1914230517778492e+49 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | distribute-lft-neg-in_binary64 |
| 6× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 52 |
| 1 | 45 | 52 |
| 2 | 53 | 52 |
| 3 | 63 | 52 |
| 4 | 76 | 52 |
| 5 | 85 | 52 |
| 6 | 91 | 52 |
| 7 | 93 | 52 |
| 8 | 92 | 52 |
Compiled 210 to 145 computations (31% saved)
| 1× | intervals |
| 506.0ms | 8000× | body | 128 | valid |
| 241.0ms | 3062× | body | 128 | invalid |
Compiled 246 to 185 computations (24.8% saved)
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