Time bar (total: 3.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 99.9% | 0% | 0.1% | 1 |
Compiled 22 to 12 computations (45.5% saved)
| 764.0ms | 8256× | body | 128 | valid |
Compiled 65 to 35 computations (46.2% saved)
| 1× | egg-herbie |
| 613× | sub-neg_binary64 |
| 578× | fma-neg_binary64 |
| 529× | neg-mul-1_binary64 |
| 501× | neg-sub0_binary64 |
| 455× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 26 | 23 |
| 2 | 60 | 23 |
| 3 | 130 | 16 |
| 4 | 335 | 16 |
| 5 | 881 | 16 |
| 6 | 1496 | 16 |
| 7 | 3511 | 16 |
| 8 | 4061 | 16 |
| 9 | 3977 | 16 |
| 10 | 4614 | 16 |
| 11 | 4771 | 16 |
| 12 | 4918 | 16 |
| 13 | 4914 | 16 |
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 |
| ▶ | 5.3b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 10.8b | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 100 to 54 computations (46% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))) |
| ✓ | 4.8b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
2 calls:
| 14.0ms | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 8.0ms | (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))) |
| 1× | rewrite-expression-head |
| 6× | add-sqr-sqrt_binary64 |
| 4× | *-un-lft-identity_binary64 |
| 4× | add-cube-cbrt_binary64 |
| 4× | add-cbrt-cube_binary64 |
| 4× | add-exp-log_binary64 |
2 calls:
| 4.0ms | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 0.0ms | (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))) |
| 1× | egg-herbie |
| 435× | exp-prod_binary64 |
| 356× | unswap-sqr_binary64 |
| 355× | fma-def_binary64 |
| 319× | *-commutative_binary64 |
| 271× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 1276 |
| 1 | 116 | 1183 |
| 2 | 336 | 1183 |
| 3 | 1136 | 1183 |
| 4 | 2105 | 1183 |
| 5 | 4465 | 1183 |
| 6 | 4949 | 1183 |
| 7 | 4916 | 1183 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 6 | 66 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 62 | 6 | 68 |
| Status | Error | Program |
| 11.7b | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) | |
| 32.3b | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) | |
| 11.8b | (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re 3)) x.im) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im)) | |
| ▶ | 5.6b | (*.f64 (*.f64 (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) |
| 18.4b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) | |
| 8.5b | (*.f64 x.im (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2))) |
Compiled 1359 to 661 computations (51.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) |
| 0.6b | (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))) | |
| 4.8b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) | |
| ✓ | 36.0b | (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) |
2 calls:
| 71.0ms | (*.f64 (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) |
| 52.0ms | (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) |
| 1× | rewrite-expression-head |
| 9× | pow1_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 7× | pow1/3_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-cube-cbrt_binary64 |
2 calls:
| 4.0ms | (*.f64 (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) |
| 2.0ms | (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) |
| 1× | egg-herbie |
| 622× | fma-def_binary64 |
| 428× | fma-neg_binary64 |
| 391× | cancel-sign-sub-inv_binary64 |
| 230× | unswap-sqr_binary64 |
| 203× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 4147 |
| 1 | 804 | 3953 |
| 2 | 2657 | 3440 |
| 3 | 4658 | 3330 |
| 4 | 4788 | 3330 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 0 | 472 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 472 | 6 | 478 |
| Status | Error | Program |
| 11.7b | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) | |
| 32.3b | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) | |
| 11.8b | (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re 3)) x.im) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im)) | |
| ✓ | 5.6b | (*.f64 (*.f64 (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) |
| 18.4b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) | |
| ▶ | 8.5b | (*.f64 x.im (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2))) |
Compiled 24190 to 13485 computations (44.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 3 (pow.f64 x.re 2)) |
| ✓ | 3.7b | (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2)) |
| ✓ | 4.8b | (*.f64 x.im (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2))) |
3 calls:
| 17.0ms | (*.f64 x.im (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2))) |
| 12.0ms | (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2)) |
| 2.0ms | (*.f64 3 (pow.f64 x.re 2)) |
| 1× | rewrite-expression-head |
| 28× | add-sqr-sqrt_binary64 |
| 24× | cancel-sign-sub-inv_binary64 |
| 24× | prod-diff_binary64 |
| 22× | unpow-prod-down_binary64 |
| 20× | *-un-lft-identity_binary64 |
3 calls:
| 8.0ms | (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2)) |
| 8.0ms | (*.f64 x.im (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2))) |
| 4.0ms | (*.f64 3 (pow.f64 x.re 2)) |
| 1× | egg-herbie |
| 541× | exp-prod_binary64 |
| 503× | fma-neg_binary64 |
| 387× | fma-def_binary64 |
| 375× | *-commutative_binary64 |
| 251× | neg-mul-1_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 3182 |
| 1 | 351 | 2387 |
| 2 | 1153 | 2055 |
| 3 | 2426 | 1983 |
| 4 | 3820 | 1983 |
| 5 | 4416 | 1983 |
| 6 | 4988 | 1983 |
| 7 | 4715 | 1983 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 0 | 169 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 169 | 6 | 175 |
| Status | Error | Program |
| ▶ | 11.7b | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) |
| 32.3b | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) | |
| 11.8b | (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re 3)) x.im) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im)) | |
| ✓ | 5.6b | (*.f64 (*.f64 (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) |
| 18.4b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) | |
| ✓ | 8.5b | (*.f64 x.im (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2))) |
Compiled 3687 to 2522 computations (31.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) |
| ✓ | 6.3b | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) |
| ✓ | 8.3b | (*.f64 (pow.f64 x.re 2) x.im) |
3 calls:
| 16.0ms | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) |
| 10.0ms | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) |
| 8.0ms | (*.f64 (pow.f64 x.re 2) x.im) |
| 1× | rewrite-expression-head |
| 19× | add-sqr-sqrt_binary64 |
| 18× | add-exp-log_binary64 |
| 13× | *-un-lft-identity_binary64 |
| 13× | add-cube-cbrt_binary64 |
| 12× | cancel-sign-sub-inv_binary64 |
3 calls:
| 7.0ms | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) |
| 5.0ms | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) |
| 5.0ms | (*.f64 (pow.f64 x.re 2) x.im) |
| 1× | egg-herbie |
| 648× | fma-neg_binary64 |
| 481× | exp-prod_binary64 |
| 468× | *-commutative_binary64 |
| 413× | fma-def_binary64 |
| 317× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 1355 |
| 1 | 289 | 1222 |
| 2 | 1184 | 1137 |
| 3 | 2992 | 1109 |
| 4 | 4413 | 1106 |
| 5 | 4958 | 1106 |
| 6 | 4637 | 1106 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 118 | 3 | 121 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 119 | 8 | 127 |
| Status | Error | Program |
| 32.3b | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) | |
| 7.1b | (-.f64 (*.f64 3 (*.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3)) | |
| 11.8b | (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re 3)) x.im) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im)) | |
| ✓ | 5.6b | (*.f64 (*.f64 (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) (cbrt.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) |
| 18.4b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))))) | |
| 37.3b | (-.f64 (*.f64 3 (*.f64 (*.f64 x.re (sqrt.f64 x.im)) (*.f64 x.re (sqrt.f64 x.im)))) (pow.f64 x.im 3)) | |
| ✓ | 8.5b | (*.f64 x.im (-.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 2))) |
| 11.9b | (-.f64 (*.f64 3 (*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.re 2) x.im)) (cbrt.f64 (*.f64 (pow.f64 x.re 2) x.im))) (cbrt.f64 (*.f64 (pow.f64 x.re 2) x.im)))) (pow.f64 x.im 3)) |
Compiled 2408 to 1598 computations (33.6% saved)
Total 1.9b remaining (98.3%)
Threshold costs 0b (0%)
Compiled 9978 to 6480 computations (35.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 3 | 6.719964527794328e+96 | 1.8244211033834235e+102 | 3.841500425837586e+101 |
| 9 | -1.6275496711336678e+115 | -5.0777551191229645e+106 | -5.179057929550085e+106 |
Compiled 3 to 2 computations (33.3% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 136 |
| 1 | 46 | 136 |
| 2 | 53 | 136 |
| 3 | 58 | 136 |
| 4 | 60 | 136 |
| 5 | 60 | 136 |
Compiled 358 to 203 computations (43.3% saved)
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