Time bar (total: 12.2s)
| 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 |
| 6.2% | 93.6% | 0.2% | 8 |
| 25% | 74.9% | 0.2% | 9 |
| 28.1% | 71.7% | 0.2% | 10 |
| 29.6% | 70.2% | 0.2% | 11 |
| 53% | 46.8% | 0.2% | 12 |
| 71.3% | 28.5% | 0.2% | 13 |
| 71.7% | 28.1% | 0.2% | 14 |
Compiled 20 to 12 computations (40% saved)
| 1× | intervals |
| 29.0ms | 256× | body | 128 | valid |
| 2.0ms | 18× | body | 128 | invalid |
Compiled 43 to 27 computations (37.2% saved)
| 1× | egg-herbie |
| 1070× | fma-neg_binary64 |
| 881× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 551× | cancel-sign-sub-inv_binary64 |
| 514× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 25 | 20 |
| 2 | 47 | 20 |
| 3 | 78 | 20 |
| 4 | 149 | 20 |
| 5 | 228 | 20 |
| 6 | 324 | 20 |
| 7 | 500 | 20 |
| 8 | 694 | 20 |
| 9 | 867 | 20 |
| 10 | 999 | 20 |
| 11 | 2422 | 20 |
| 12 | 3920 | 20 |
| 13 | 4950 | 20 |
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 |
| ▶ | 25.3b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 69 to 33 computations (52.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| ✓ | 24.8b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
2 calls:
| 165.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 18.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| 1× | rewrite-expression-head |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 4× | add-cbrt-cube_binary64 |
2 calls:
| 9.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 5.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| 1× | egg-herbie |
| 523× | fma-neg_binary64 |
| 383× | associate-*l*_binary64 |
| 348× | fma-def_binary64 |
| 319× | associate-*r*_binary64 |
| 252× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 2762 |
| 1 | 323 | 2614 |
| 2 | 1088 | 2567 |
| 3 | 4398 | 2567 |
| 4 | 4952 | 2567 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 7 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 8 | 112 |
| Status | Error | Program |
| 38.9b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| ✓ | 25.3b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 36.8b | (neg.f64 (/.f64 x.re y.im)) | |
| 25.7b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))))) | |
| 25.2b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| ▶ | 16.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 37.7b | (/.f64 x.im y.re) | |
| 38.9b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) |
Compiled 2853 to 616 computations (78.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) |
| ✓ | 0.2b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| ✓ | 15.6b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
4 calls:
| 215.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 190.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 33.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 23.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 1× | rewrite-expression-head |
| 51× | add-sqr-sqrt_binary64 |
| 43× | times-frac_binary64 |
| 36× | *-un-lft-identity_binary64 |
| 34× | add-cube-cbrt_binary64 |
| 32× | add-exp-log_binary64 |
4 calls:
| 19.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 13.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 5.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 4.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 884× | times-frac_binary64 |
| 524× | fma-def_binary64 |
| 365× | cancel-sign-sub-inv_binary64 |
| 204× | fma-neg_binary64 |
| 186× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 6721 |
| 1 | 748 | 5877 |
| 2 | 2556 | 5818 |
| 3 | 5079 | 5818 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 5 | 275 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 273 | 10 | 283 |
| Status | Error | Program |
| 25.7b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))))) | |
| 16.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) | |
| 38.9b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 43.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re)) | |
| 36.8b | (neg.f64 (/.f64 x.re y.im)) | |
| ▶ | 16.6b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 38.9b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 42.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))) | |
| 37.7b | (/.f64 x.im y.re) | |
| 25.3b | (*.f64 1 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re)))) |
Compiled 7608 to 2297 computations (69.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 y.im y.re) |
| ✓ | 0.1b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 0.2b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| 15.6b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
2 calls:
| 201.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 28.0ms | (hypot.f64 y.im y.re) |
| 1× | rewrite-expression-head |
| 75× | times-frac_binary64 |
| 44× | *-un-lft-identity_binary64 |
| 44× | add-sqr-sqrt_binary64 |
| 44× | add-cube-cbrt_binary64 |
| 13× | associate-/l*_binary64 |
2 calls:
| 12.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 1.0ms | (hypot.f64 y.im y.re) |
| 1× | egg-herbie |
| 698× | times-frac_binary64 |
| 572× | associate-/l*_binary64 |
| 471× | associate-/l/_binary64 |
| 465× | fma-neg_binary64 |
| 224× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 4852 |
| 1 | 570 | 4607 |
| 2 | 1505 | 4399 |
| 3 | 4557 | 4352 |
| 4 | 4988 | 4352 |
| 5 | 4960 | 4352 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 304 | 4 | 308 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 309 | 9 | 318 |
| Status | Error | Program |
| 17.4b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 42.2b | (/.f64 (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)) (hypot.f64 y.im y.re)) | |
| 36.8b | (neg.f64 (/.f64 x.re y.im)) | |
| ▶ | 16.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| 20.9b | (/.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) | |
| 43.6b | (/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) (hypot.f64 y.im y.re)) | |
| 38.9b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 37.7b | (/.f64 x.im y.re) | |
| 38.9b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) |
Compiled 8258 to 2038 computations (75.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 0.2b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| ✓ | 15.7b | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
3 calls:
| 213.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| 199.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 132.0ms | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 1× | rewrite-expression-head |
| 199× | times-frac_binary64 |
| 146× | add-sqr-sqrt_binary64 |
| 110× | *-un-lft-identity_binary64 |
| 99× | add-cube-cbrt_binary64 |
| 99× | add-exp-log_binary64 |
3 calls:
| 44.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| 12.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 8.0ms | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 1× | egg-herbie |
| 455× | times-frac_binary64 |
| 363× | associate-/l*_binary64 |
| 263× | associate-/r*_binary64 |
| 231× | associate-*l*_binary64 |
| 214× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 378 | 13351 |
| 1 | 1064 | 11363 |
| 2 | 4384 | 11257 |
| 3 | 5146 | 11257 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 509 | 0 | 509 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 509 | 9 | 518 |
| Status | Error | Program |
| 17.4b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 42.2b | (/.f64 (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)) (hypot.f64 y.im y.re)) | |
| 36.8b | (neg.f64 (/.f64 x.re y.im)) | |
| ✓ | 16.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| 20.9b | (/.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) | |
| 43.6b | (/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) (hypot.f64 y.im y.re)) | |
| 38.9b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 37.7b | (/.f64 x.im y.re) | |
| 38.9b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) |
Compiled 16614 to 5240 computations (68.5% saved)
Total 10.5b remaining (86.7%)
Threshold costs 0b (0%)
Compiled 16998 to 9504 computations (44.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 5 | 9.863307307441638e+148 | 3.8313112010895703e+149 | 2.5261196808138677e+149 |
| 5 | 1.2064014089437035e-167 | 4.4921205841424985e-167 | 1.2315960820976547e-167 |
| 9 | -3.532725507415324e-226 | -6.386343516206783e-232 | -1.851745546982872e-226 |
| 8 | -8.356676410479414e+108 | -1.2828768107206344e+105 | -4.988426382296112e+108 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 101 |
| 1 | 42 | 97 |
| 2 | 56 | 97 |
| 3 | 74 | 97 |
| 4 | 86 | 97 |
| 5 | 93 | 97 |
| 6 | 95 | 97 |
| 7 | 95 | 97 |
Compiled 70 to 28 computations (60% saved)
| 1× | intervals |
| 1.0s | 8000× | body | 128 | valid |
| 53.0ms | 484× | body | 128 | invalid |
Compiled 273 to 143 computations (47.6% saved)
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