Time bar (total: 12.2s)
| 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 |
| 0.8% | 98.9% | 0.3% | 13 |
| 1.2% | 98.5% | 0.3% | 14 |
Compiled 44 to 31 computations (29.5% saved)
| 1.6s | 8256× | body | 128 | valid |
| 164.0ms | 875× | body | 128 | invalid |
Compiled 131 to 92 computations (29.8% saved)
| 1× | egg-herbie |
| 918× | distribute-rgt-in_binary64 |
| 850× | distribute-lft-in_binary64 |
| 677× | associate-/l*_binary64 |
| 676× | fma-def_binary64 |
| 633× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 41 |
| 1 | 63 | 41 |
| 2 | 131 | 39 |
| 3 | 274 | 39 |
| 4 | 720 | 39 |
| 5 | 1843 | 39 |
| 6 | 2430 | 39 |
| 7 | 2851 | 39 |
| 8 | 3466 | 39 |
| 9 | 4132 | 39 |
| 10 | 4596 | 39 |
| 11 | 5138 | 39 |
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 |
| 33.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) | |
| ▶ | 32.4b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) |
Compiled 228 to 150 computations (34.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 z 313060547623/100000000000 55833770631/5000000000) |
| ✓ | 0.1b | (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) |
| ✓ | 0.1b | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| ✓ | 31.4b | (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) |
4 calls:
| 525.0ms | (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) |
| 6.0ms | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| 2.0ms | (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) |
| 1.0ms | (fma.f64 z 313060547623/100000000000 55833770631/5000000000) |
| 1× | rewrite-expression-head |
| 12× | *-un-lft-identity_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 12× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 6× | add-cbrt-cube_binary64 |
4 calls:
| 2.0ms | (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) |
| 0.0ms | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| 0.0ms | (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) |
| 0.0ms | (fma.f64 z 313060547623/100000000000 55833770631/5000000000) |
| 1× | egg-herbie |
| 941× | fma-def_binary64 |
| 732× | fma-neg_binary64 |
| 271× | associate--l+_binary64 |
| 248× | associate-*l*_binary64 |
| 244× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 7936 |
| 1 | 519 | 7576 |
| 2 | 1581 | 6883 |
| 3 | 4697 | 6883 |
| 4 | 5322 | 6883 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 6 | 122 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 117 | 7 | 124 |
| Status | Error | Program |
| 32.3b | (fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 35.8b | (fma.f64 y (-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 a z)) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 t (pow.f64 z 2))) (+.f64 (*.f64 1000000000000/607771387771 b) (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (pow.f64 z 2) b))))) (+.f64 (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 z b)) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 a (pow.f64 z 2))))) x) | |
| ▶ | 26.3b | (fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x) |
| 32.6b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) | |
| 33.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) | |
| 32.4b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (+.f64 (fma.f64 (*.f64 z z) 15234687407/1000000000 (fma.f64 z 314690115749/10000000000 (pow.f64 z 3))) 119400905721/10000000000) 607771387771/1000000000000)) x) | |
| 32.6b | (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) |
Compiled 5370 to 3314 computations (38.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 6.3b | (/.f64 t (pow.f64 z 3)) |
| ✓ | 6.9b | (/.f64 t (*.f64 z z)) |
| ✓ | 8.5b | (/.f64 a (pow.f64 z 3)) |
| ✓ | 8.6b | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
4 calls:
| 155.0ms | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
| 28.0ms | (/.f64 a (pow.f64 z 3)) |
| 28.0ms | (/.f64 t (pow.f64 z 3)) |
| 25.0ms | (/.f64 t (*.f64 z z)) |
| 1× | rewrite-expression-head |
| 117× | *-un-lft-identity_binary64 |
| 75× | times-frac_binary64 |
| 69× | add-sqr-sqrt_binary64 |
| 67× | add-cube-cbrt_binary64 |
| 30× | distribute-lft-out_binary64 |
4 calls:
| 25.0ms | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
| 5.0ms | (/.f64 t (pow.f64 z 3)) |
| 3.0ms | (/.f64 a (pow.f64 z 3)) |
| 3.0ms | (/.f64 t (*.f64 z z)) |
| 1× | egg-herbie |
| 647× | fma-def_binary64 |
| 343× | unswap-sqr_binary64 |
| 334× | exp-sum_binary64 |
| 317× | cancel-sign-sub-inv_binary64 |
| 259× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 308 | 7386 |
| 1 | 574 | 6720 |
| 2 | 2565 | 6242 |
| 3 | 4622 | 6130 |
| 4 | 4775 | 6130 |
| 5 | 4997 | 6130 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 3 | 235 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 233 | 9 | 242 |
| Status | Error | Program |
| ▶ | 26.3b | (fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 (/.f64 a (*.f64 z z)) z)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x) |
| 33.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) | |
| 32.3b | (fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 35.8b | (fma.f64 y (-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 a z)) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 t (pow.f64 z 2))) (+.f64 (*.f64 1000000000000/607771387771 b) (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (pow.f64 z 2) b))))) (+.f64 (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 z b)) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 a (pow.f64 z 2))))) x) | |
| 26.3b | (fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x) | |
| 32.6b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) | |
| 32.4b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (+.f64 (fma.f64 (*.f64 z z) 15234687407/1000000000 (fma.f64 z 314690115749/10000000000 (pow.f64 z 3))) 119400905721/10000000000) 607771387771/1000000000000)) x) | |
| 32.6b | (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) | |
| 30.3b | (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 t (*.f64 z z)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) 3)) x) |
Compiled 12845 to 7842 computations (38.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 6.3b | (/.f64 t (pow.f64 z 3)) | |
| 6.9b | (/.f64 t (*.f64 z z)) | |
| ✓ | 8.6b | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 (/.f64 a (*.f64 z z)) z)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
| ✓ | 9.2b | (/.f64 a (*.f64 z z)) |
2 calls:
| 181.0ms | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 (/.f64 a (*.f64 z z)) z)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
| 25.0ms | (/.f64 a (*.f64 z z)) |
| 1× | rewrite-expression-head |
| 65× | *-un-lft-identity_binary64 |
| 30× | distribute-lft-out_binary64 |
| 18× | prod-diff_binary64 |
| 17× | add-sqr-sqrt_binary64 |
| 16× | add-log-exp_binary64 |
2 calls:
| 26.0ms | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 (/.f64 a (*.f64 z z)) z)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
| 3.0ms | (/.f64 a (*.f64 z z)) |
| 1× | egg-herbie |
| 631× | fma-def_binary64 |
| 387× | fma-neg_binary64 |
| 324× | associate--l+_binary64 |
| 275× | cancel-sign-sub-inv_binary64 |
| 271× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 5610 |
| 1 | 396 | 5004 |
| 2 | 1575 | 4145 |
| 3 | 4367 | 4145 |
| 4 | 4996 | 4145 |
| 5 | 4947 | 4145 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 196 | 1 | 197 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 197 | 9 | 206 |
| Status | Error | Program |
| ✓ | 26.3b | (fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 (/.f64 a (*.f64 z z)) z)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x) |
| 33.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) | |
| 32.3b | (fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 35.8b | (fma.f64 y (-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 a z)) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 t (pow.f64 z 2))) (+.f64 (*.f64 1000000000000/607771387771 b) (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (pow.f64 z 2) b))))) (+.f64 (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 z b)) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 a (pow.f64 z 2))))) x) | |
| ▶ | 26.3b | (fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x) |
| 32.6b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) | |
| 30.3b | (fma.f64 y (cbrt.f64 (pow.f64 (+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 (-.f64 a 586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) 3)) x) | |
| 32.4b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (+.f64 (fma.f64 (*.f64 z z) 15234687407/1000000000 (fma.f64 z 314690115749/10000000000 (pow.f64 z 3))) 119400905721/10000000000) 607771387771/1000000000000)) x) | |
| 32.6b | (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) |
Compiled 11257 to 6174 computations (45.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 6.0b | (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) |
| 6.3b | (/.f64 t (pow.f64 z 3)) | |
| 8.5b | (/.f64 a (pow.f64 z 3)) | |
| ✓ | 8.6b | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
2 calls:
| 150.0ms | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
| 30.0ms | (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) |
| 1× | rewrite-expression-head |
| 69× | *-un-lft-identity_binary64 |
| 32× | distribute-lft-out_binary64 |
| 18× | add-log-exp_binary64 |
| 18× | prod-diff_binary64 |
| 17× | add-sqr-sqrt_binary64 |
2 calls:
| 33.0ms | (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) |
| 13.0ms | (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) |
| 1× | egg-herbie |
| 774× | fma-def_binary64 |
| 324× | cancel-sign-sub-inv_binary64 |
| 291× | associate-*l/_binary64 |
| 282× | fma-neg_binary64 |
| 244× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 5907 |
| 1 | 416 | 5307 |
| 2 | 1739 | 4780 |
| 3 | 4672 | 4757 |
| 4 | 5090 | 4757 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 237 | 0 | 237 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 237 | 9 | 246 |
| Status | Error | Program |
| ✓ | 26.3b | (fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 (/.f64 a (*.f64 z z)) z)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x) |
| 33.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) | |
| 32.3b | (fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 35.8b | (fma.f64 y (-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 a z)) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 t (pow.f64 z 2))) (+.f64 (*.f64 1000000000000/607771387771 b) (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (pow.f64 z 2) b))))) (+.f64 (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 z b)) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 a (pow.f64 z 2))))) x) | |
| ✓ | 26.3b | (fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x) |
| 32.6b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) | |
| 30.3b | (fma.f64 y (cbrt.f64 (pow.f64 (+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 (-.f64 a 586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) 3)) x) | |
| 32.4b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (+.f64 (fma.f64 (*.f64 z z) 15234687407/1000000000 (fma.f64 z 314690115749/10000000000 (pow.f64 z 3))) 119400905721/10000000000) 607771387771/1000000000000)) x) | |
| 32.6b | (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) |
Compiled 12543 to 7668 computations (38.9% saved)
Total 0.6b remaining (91.1%)
Threshold costs 0.6b (91.1%)
Compiled 47396 to 32022 computations (32.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 11 | 77529755.82708687 | 8.451635520913863e+33 | 4.7714490306862366e+30 |
| 8 | -1.9291898592914923e+23 | -3.096679839079891e+20 | -5.725184660733055e+21 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 171 |
| 1 | 72 | 171 |
| 2 | 77 | 171 |
| 3 | 79 | 171 |
| 4 | 80 | 171 |
| 5 | 79 | 171 |
Compiled 697 to 453 computations (35% saved)
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