Time bar (total: 7.4s)
| 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 |
| 5.8% | 94% | 0.2% | 9 |
| 7.6% | 92.2% | 0.2% | 10 |
| 11.6% | 88.2% | 0.2% | 11 |
| 18.5% | 81.3% | 0.2% | 12 |
| 32.3% | 66.9% | 0.8% | 13 |
| 37% | 62.2% | 0.8% | 14 |
Compiled 14 to 9 computations (35.7% saved)
| 1× | intervals |
(sort x y)
| 10.0ms | 256× | body | 128 | valid |
| 6.0ms | 62× | body | 128 | invalid |
Compiled 31 to 21 computations (32.3% saved)
| 1× | egg-herbie |
| 1483× | associate-/l/_binary64 |
| 1068× | associate-/l*_binary64 |
| 1015× | associate-/r/_binary64 |
| 675× | *-commutative_binary64 |
| 404× | sqr-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 17 | 10 |
| 2 | 41 | 7 |
| 3 | 91 | 7 |
| 4 | 366 | 7 |
| 5 | 1228 | 7 |
| 6 | 1212 | 7 |
| 7 | 1225 | 7 |
| 8 | 1238 | 7 |
| 9 | 1245 | 7 |
| 10 | 1252 | 7 |
| 11 | 1259 | 7 |
| 12 | 1266 | 7 |
| 13 | 1273 | 7 |
| 14 | 1280 | 7 |
| 15 | 1287 | 7 |
| 16 | 1294 | 7 |
| 17 | 1301 | 7 |
| 18 | 1308 | 7 |
| 19 | 1315 | 7 |
| 20 | 1322 | 7 |
| 21 | 3032 | 7 |
| 22 | 2753 | 7 |
| 23 | 2781 | 7 |
| 24 | 2833 | 7 |
| 25 | 2977 | 7 |
| 26 | 3074 | 7 |
| 27 | 3494 | 7 |
| 28 | 3743 | 7 |
| 29 | 4033 | 7 |
| 30 | 4473 | 7 |
| 31 | 5028 | 7 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 5.4b | (*.f64 x (/.f64 y z)) |
Compiled 36 to 21 computations (41.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 5.3b | (*.f64 x (/.f64 y z)) |
1 calls:
| 12.0ms | (*.f64 x (/.f64 y z)) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 9× | *-un-lft-identity_binary64 |
| 9× | add-cube-cbrt_binary64 |
1 calls:
| 5.0ms | (*.f64 x (/.f64 y z)) |
| 1× | egg-herbie |
| 736× | fabs-mul_binary64 |
| 732× | sqr-pow_binary64 |
| 503× | pow-sqr_binary64 |
| 384× | associate-/l/_binary64 |
| 307× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 642 |
| 1 | 162 | 597 |
| 2 | 526 | 597 |
| 3 | 1312 | 597 |
| 4 | 2135 | 597 |
| 5 | 2239 | 597 |
| 6 | 2445 | 597 |
| 7 | 2751 | 597 |
| 8 | 3643 | 597 |
| 9 | 4500 | 597 |
| 10 | 4489 | 597 |
| 11 | 5931 | 597 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 7 | 50 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 43 | 8 | 51 |
| Status | Error | Program |
| ▶ | 5.3b | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))) |
| 7.9b | (/.f64 (*.f64 y x) z) | |
| 22.5b | (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) | |
| ✓ | 5.4b | (*.f64 x (/.f64 y z)) |
| 41.1b | (*.f64 (*.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z))) | |
| 6.6b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) | |
| 32.6b | (*.f64 (sqrt.f64 (/.f64 (*.f64 y x) z)) (sqrt.f64 (/.f64 (*.f64 y x) z))) | |
| 34.4b | (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) |
Compiled 755 to 282 computations (62.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (/.f64 y (cbrt.f64 z)) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| ✓ | 0.5b | (cbrt.f64 z) |
| ✓ | 4.4b | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))) |
4 calls:
| 271.0ms | (/.f64 y (cbrt.f64 z)) |
| 40.0ms | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))) |
| 36.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 34.0ms | (cbrt.f64 z) |
| 1× | rewrite-expression-head |
| 72× | add-exp-log_binary64 |
| 49× | add-sqr-sqrt_binary64 |
| 41× | *-un-lft-identity_binary64 |
| 41× | add-cube-cbrt_binary64 |
| 40× | cbrt-prod_binary64 |
4 calls:
| 12.0ms | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))) |
| 4.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 3.0ms | (/.f64 y (cbrt.f64 z)) |
| 1.0ms | (cbrt.f64 z) |
| 1× | egg-herbie |
| 564× | fma-def_binary64 |
| 465× | fma-neg_binary64 |
| 436× | associate-/l/_binary64 |
| 343× | unswap-sqr_binary64 |
| 272× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 3374 |
| 1 | 430 | 2361 |
| 2 | 1829 | 2294 |
| 3 | 2958 | 2243 |
| 4 | 4494 | 2243 |
| 5 | 5099 | 2243 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 3 | 260 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 258 | 10 | 268 |
| Status | Error | Program |
| 24.7b | (*.f64 (*.f64 x (/.f64 1 (cbrt.f64 (*.f64 z z)))) (/.f64 y (cbrt.f64 z))) | |
| ✓ | 5.3b | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))) |
| 33.9b | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cbrt.f64 z)))) | |
| ✓ | 5.4b | (*.f64 x (/.f64 y z)) |
| ▶ | 5.7b | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) (cbrt.f64 (/.f64 y (cbrt.f64 z)))) |
| 41.1b | (*.f64 (*.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z))) | |
| 7.9b | (/.f64 (*.f64 y x) z) | |
| 22.5b | (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) | |
| 6.6b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) | |
| 32.6b | (*.f64 (sqrt.f64 (/.f64 (*.f64 y x) z)) (sqrt.f64 (/.f64 (*.f64 y x) z))) |
Compiled 5384 to 1927 computations (64.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.5b | (cbrt.f64 z) | |
| ✓ | 0.6b | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) (cbrt.f64 (/.f64 y (cbrt.f64 z)))) |
| ✓ | 2.5b | (cbrt.f64 (/.f64 y (cbrt.f64 z))) |
| ✓ | 3.3b | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) |
3 calls:
| 1.7s | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) |
| 653.0ms | (cbrt.f64 (/.f64 y (cbrt.f64 z))) |
| 59.0ms | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) (cbrt.f64 (/.f64 y (cbrt.f64 z)))) |
| 1× | rewrite-expression-head |
| 149× | add-exp-log_binary64 |
| 105× | prod-exp_binary64 |
| 62× | cbrt-prod_binary64 |
| 49× | cbrt-div_binary64 |
| 49× | cbrt-unprod_binary64 |
3 calls:
| 26.0ms | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) (cbrt.f64 (/.f64 y (cbrt.f64 z)))) |
| 17.0ms | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) |
| 2.0ms | (cbrt.f64 (/.f64 y (cbrt.f64 z))) |
| 1× | egg-herbie |
| 663× | associate-/r*_binary64 |
| 640× | associate-/l*_binary64 |
| 597× | associate-*l*_binary64 |
| 395× | associate-*r*_binary64 |
| 235× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 6931 |
| 1 | 579 | 5907 |
| 2 | 2171 | 5378 |
| 3 | 4838 | 5378 |
| 4 | 5235 | 5378 |
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 418 | 0 | 418 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 418 | 10 | 428 |
| Status | Error | Program |
| 24.7b | (*.f64 (*.f64 x (/.f64 1 (cbrt.f64 (*.f64 z z)))) (/.f64 y (cbrt.f64 z))) | |
| ✓ | 5.3b | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))) |
| 33.9b | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cbrt.f64 z)))) | |
| ✓ | 5.4b | (*.f64 x (/.f64 y z)) |
| ✓ | 5.7b | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) (cbrt.f64 (/.f64 y (cbrt.f64 z)))) |
| 41.1b | (*.f64 (*.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z))) | |
| 7.9b | (/.f64 (*.f64 y x) z) | |
| 22.5b | (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) | |
| ▶ | 6.6b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
| 32.6b | (*.f64 (sqrt.f64 (/.f64 (*.f64 y x) z)) (sqrt.f64 (/.f64 (*.f64 y x) z))) |
Compiled 14221 to 3406 computations (76% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (cbrt.f64 y) z) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| ✓ | 0.6b | (cbrt.f64 y) |
| ✓ | 5.7b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
4 calls:
| 237.0ms | (/.f64 (cbrt.f64 y) z) |
| 35.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 30.0ms | (cbrt.f64 y) |
| 26.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
| 1× | rewrite-expression-head |
| 49× | add-sqr-sqrt_binary64 |
| 41× | *-un-lft-identity_binary64 |
| 41× | add-cube-cbrt_binary64 |
| 40× | cbrt-prod_binary64 |
| 36× | times-frac_binary64 |
4 calls:
| 17.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
| 4.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 3.0ms | (/.f64 (cbrt.f64 y) z) |
| 1.0ms | (cbrt.f64 y) |
| 1× | egg-herbie |
| 551× | unswap-sqr_binary64 |
| 512× | times-frac_binary64 |
| 338× | log-prod_binary64 |
| 320× | associate-*l*_binary64 |
| 269× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 2488 |
| 1 | 369 | 2149 |
| 2 | 1642 | 2089 |
| 3 | 3165 | 2035 |
| 4 | 4597 | 2035 |
| 5 | 4933 | 2035 |
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 241 | 0 | 241 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 241 | 10 | 251 |
| Status | Error | Program |
| 24.7b | (*.f64 (*.f64 x (/.f64 1 (cbrt.f64 (*.f64 z z)))) (/.f64 y (cbrt.f64 z))) | |
| ✓ | 5.3b | (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))) |
| 33.9b | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cbrt.f64 z)))) | |
| ✓ | 5.4b | (*.f64 x (/.f64 y z)) |
| ✓ | 5.7b | (*.f64 (*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) (cbrt.f64 (/.f64 y (cbrt.f64 z)))) |
| 41.1b | (*.f64 (*.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z))) | |
| 7.9b | (/.f64 (*.f64 y x) z) | |
| 22.5b | (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) | |
| ✓ | 6.6b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
| 32.6b | (*.f64 (sqrt.f64 (/.f64 (*.f64 y x) z)) (sqrt.f64 (/.f64 (*.f64 y x) z))) |
Compiled 4397 to 1132 computations (74.3% saved)
Total 1.7b remaining (97.8%)
Threshold costs 0b (0%)
Compiled 11111 to 6102 computations (45.1% saved)
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 125 |
| 1 | 43 | 125 |
| 2 | 42 | 125 |
Compiled 264 to 99 computations (62.5% saved)
| 1× | intervals |
| 331.0ms | 8000× | body | 128 | valid |
| 70.0ms | 1577× | body | 128 | invalid |
Compiled 283 to 145 computations (48.8% saved)
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