Time bar (total: 23.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 28.1% | 71.9% | 0 |
| 0% | 28.1% | 71.9% | 1 |
| 0% | 28.1% | 71.9% | 2 |
| 0% | 28.1% | 71.9% | 3 |
| 0% | 28.1% | 71.9% | 4 |
| 0% | 28.1% | 71.9% | 5 |
| 0.9% | 27.2% | 71.9% | 6 |
| 4.8% | 23.2% | 71.9% | 7 |
| 5.3% | 22.8% | 71.9% | 8 |
| 6.3% | 21.8% | 71.9% | 9 |
| 7.9% | 20.2% | 71.9% | 10 |
| 8.7% | 19.4% | 71.9% | 11 |
| 9.7% | 18.4% | 71.9% | 12 |
| 10.8% | 17.3% | 71.9% | 13 |
| 11.5% | 16.6% | 71.9% | 14 |
Compiled 43 to 28 computations (34.9% saved)
| 1.1s | 6667× | body | 128 | valid |
| 373.0ms | 696× | body | 1024 | valid |
| 216.0ms | 543× | body | 512 | valid |
| 82.0ms | 285× | body | 256 | valid |
| 44.0ms | 65× | body | 2048 | valid |
Compiled 75 to 48 computations (36% saved)
| 1× | egg-herbie |
| 847× | times-frac_binary64 |
| 817× | distribute-rgt-in_binary64 |
| 748× | distribute-lft-in_binary64 |
| 537× | div-sub_binary64 |
| 535× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 34 | 39 |
| 2 | 110 | 37 |
| 3 | 435 | 37 |
| 4 | 1672 | 37 |
| 5 | 2494 | 37 |
| 6 | 3358 | 37 |
| 7 | 5392 | 37 |
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 |
| 23.9b | (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2) | |
| ▶ | 18.6b | (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) 2) |
Compiled 180 to 106 computations (41.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) |
| ✓ | 11.5b | (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) |
| ✓ | 18.3b | (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) |
3 calls:
| 986.0ms | (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) |
| 322.0ms | (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) |
| 25.0ms | (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) |
| 1× | rewrite-expression-head |
| 13× | *-un-lft-identity_binary64 |
| 13× | add-sqr-sqrt_binary64 |
| 10× | add-cbrt-cube_binary64 |
| 10× | add-exp-log_binary64 |
| 7× | add-cube-cbrt_binary64 |
3 calls:
| 8.0ms | (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) |
| 5.0ms | (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) |
| 0.0ms | (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) |
| 1× | egg-herbie |
| 561× | +-commutative_binary64 |
| 490× | fma-def_binary64 |
| 487× | associate-+r+_binary64 |
| 392× | *-commutative_binary64 |
| 294× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1400 | 19973 |
| 1 | 5450 | 19973 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 2 | 205 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 205 | 2 | 207 |
| Status | Error | Program |
| 50.7b | (/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2) | |
| ▶ | 11.5b | (/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) 2) |
Compiled 24501 to 15834 computations (35.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) |
| ✓ | 0.0b | (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) |
| ✓ | 11.5b | (fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) |
4 calls:
| 555.0ms | (fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) |
| 338.0ms | (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) |
| 84.0ms | (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) |
| 38.0ms | (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) |
| 1× | rewrite-expression-head |
| 82× | *-un-lft-identity_binary64 |
| 75× | add-sqr-sqrt_binary64 |
| 65× | times-frac_binary64 |
| 40× | add-cube-cbrt_binary64 |
| 32× | add-exp-log_binary64 |
4 calls:
| 16.0ms | (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) |
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) |
| 2.0ms | (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) |
| 0.0ms | (fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) |
| 1× | egg-herbie |
| 579× | fma-def_binary64 |
| 560× | associate-+r+_binary64 |
| 386× | associate-*r/_binary64 |
| 174× | associate-/l*_binary64 |
| 155× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1717 | 26289 |
| 1 | 5484 | 26289 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 369 | 1 | 370 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 369 | 3 | 372 |
| Status | Error | Program |
| 50.7b | (/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2) | |
| ▶ | 11.4b | (/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1) 2) |
| ✓ | 11.5b | (/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) 2) |
Compiled 34359 to 21590 computations (37.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) | |
| 0.1b | (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) | |
| ✓ | 2.0b | (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1) |
| ✓ | 2.7b | (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) |
2 calls:
| 517.0ms | (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1) |
| 319.0ms | (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) |
| 1× | rewrite-expression-head |
| 34× | add-exp-log_binary64 |
| 20× | add-cbrt-cube_binary64 |
| 17× | prod-exp_binary64 |
| 9× | frac-times_binary64 |
| 9× | cbrt-unprod_binary64 |
2 calls:
| 16.0ms | (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1) |
| 14.0ms | (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) |
| 1× | egg-herbie |
| 405× | +-commutative_binary64 |
| 355× | associate-+r+_binary64 |
| 354× | fma-def_binary64 |
| 331× | *-commutative_binary64 |
| 217× | associate-*r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1139 | 18961 |
| 1 | 4466 | 18780 |
| 2 | 4992 | 18780 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 394 | 1 | 395 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 395 | 3 | 398 |
| Status | Error | Program |
| ▶ | 22.1b | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) (*.f64 1 1)) (-.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1)) 2) |
| 50.7b | (/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2) | |
| ✓ | 11.5b | (/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) 2) |
Compiled 41926 to 26804 computations (36.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) | |
| 2.7b | (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) | |
| ✓ | 3.5b | (-.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1) |
| ✓ | 5.4b | (-.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) (*.f64 1 1)) |
2 calls:
| 7.2s | (-.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) (*.f64 1 1)) |
| 529.0ms | (-.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1) |
| 1× | rewrite-expression-head |
| 35× | add-exp-log_binary64 |
| 17× | prod-exp_binary64 |
| 10× | expm1-def_binary64 |
| 8× | div-exp_binary64 |
| 6× | add-log-exp_binary64 |
2 calls:
| 43.0ms | (-.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) (*.f64 1 1)) |
| 16.0ms | (-.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1) |
| 1× | egg-herbie |
| 1021× | fma-def_binary64 |
| 503× | times-frac_binary64 |
| 11× | cube-mult_binary64 |
| 11× | unpow3_binary64 |
| 9× | unpow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3109 | 41544 |
| 1 | 4992 | 41544 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 914 | 1 | 915 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 915 | 3 | 918 |
| Status | Error | Program |
| 22.1b | (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) 3) 1) (fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) (+.f64 1 (*.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) 1)))) (-.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) 1)) 2) | |
| 50.7b | (/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2) | |
| ✓ | 11.5b | (/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) 2) |
Compiled 184120 to 113323 computations (38.5% saved)
Total 1.6b remaining (87.9%)
Threshold costs 0b (0%)
Compiled 22987 to 14603 computations (36.5% saved)
Compiled 28 to 16 computations (42.9% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 99 |
| 1 | 44 | 99 |
| 2 | 47 | 99 |
| 3 | 49 | 99 |
| 4 | 50 | 99 |
| 5 | 49 | 99 |
Compiled 435 to 238 computations (45.3% saved)
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