Time bar (total: 17.7s)
| 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 |
| 172.0ms | 940× | 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 |
| 31.2b | (+.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))) | |
| ▶ | 30.1b | (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 313060547623/100000000000 55833770631/5000000000) t) |
| ✓ | 0.3b | (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) |
| ✓ | 29.0b | (/.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:
| 1.1s | (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) |
| 592.0ms | (/.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)) |
| 8.0ms | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| 2.0ms | (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 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) |
| 0.0ms | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| 0.0ms | (fma.f64 z 313060547623/100000000000 55833770631/5000000000) |
| 1× | egg-herbie |
| 467× | cancel-sign-sub-inv_binary64 |
| 302× | fma-neg_binary64 |
| 298× | fma-def_binary64 |
| 250× | associate-+r+_binary64 |
| 234× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 327 | 18542 |
| 1 | 845 | 18113 |
| 2 | 2804 | 15739 |
| 3 | 4707 | 15739 |
| 4 | 4981 | 15739 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 8 | 148 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 141 | 9 | 150 |
| Status | Error | Program |
| 31.1b | (+.f64 (*.f64 55833770631/5000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (*.f64 313060547623/100000000000 (/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 a z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) x))))) | |
| ✓ | 30.1b | (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) |
| 30.6b | (fma.f64 y (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (cbrt.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))) (/.f64 (cbrt.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) | |
| 32.4b | (+.f64 (fma.f64 1000000000000/607771387771 (*.f64 (*.f64 a z) y) x) (*.f64 (*.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441)))) | |
| 30.4b | (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) | |
| 28.8b | (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) | |
| 30.4b | (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) | |
| ▶ | 28.2b | (+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))) |
| 33.0b | (fma.f64 y (-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 a z)) (*.f64 1000000000000/607771387771 b)) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 z b))) x) |
Compiled 8008 to 5205 computations (35% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x) |
| ✓ | 2.0b | (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)) |
| ✓ | 3.0b | (+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))) |
| ✓ | 8.2b | (/.f64 y (*.f64 z z)) |
4 calls:
| 123.0ms | (+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))) |
| 38.0ms | (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x) |
| 27.0ms | (/.f64 y (*.f64 z z)) |
| 25.0ms | (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)) |
| 1× | rewrite-expression-head |
| 165× | add-sqr-sqrt_binary64 |
| 157× | *-un-lft-identity_binary64 |
| 156× | prod-diff_binary64 |
| 155× | add-cube-cbrt_binary64 |
| 122× | times-frac_binary64 |
4 calls:
| 13.0ms | (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)) |
| 8.0ms | (+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))) |
| 8.0ms | (/.f64 y (*.f64 z z)) |
| 0.0ms | (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x) |
| 1× | egg-herbie |
| 644× | associate-*l/_binary64 |
| 476× | associate-/l*_binary64 |
| 414× | times-frac_binary64 |
| 226× | associate-/r*_binary64 |
| 205× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 9529 |
| 1 | 760 | 8092 |
| 2 | 2365 | 7231 |
| 3 | 4684 | 7231 |
| 4 | 4945 | 7231 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 2 | 358 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 357 | 10 | 367 |
| Status | Error | Program |
| 31.1b | (+.f64 (*.f64 55833770631/5000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (*.f64 313060547623/100000000000 (/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 a z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) x))))) | |
| ✓ | 30.1b | (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) |
| 44.7b | (fma.f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x))) (sqrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x))) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))) | |
| 30.4b | (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) | |
| 30.6b | (fma.f64 y (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (cbrt.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))) (/.f64 (cbrt.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) | |
| 32.4b | (+.f64 (fma.f64 1000000000000/607771387771 (*.f64 (*.f64 a z) y) x) (*.f64 (*.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441)))) | |
| 30.4b | (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) | |
| 28.8b | (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) | |
| ▶ | 27.9b | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) (fma.f64 y 313060547623/100000000000 x)) (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z))) |
| 33.0b | (fma.f64 y (-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 a z)) (*.f64 1000000000000/607771387771 b)) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 z b))) x) |
Compiled 14533 to 7745 computations (46.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z)) |
| ✓ | 2.2b | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) (fma.f64 y 313060547623/100000000000 x)) (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z))) |
| ✓ | 3.1b | (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) |
| 8.2b | (/.f64 y (*.f64 z z)) |
3 calls:
| 121.0ms | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) (fma.f64 y 313060547623/100000000000 x)) (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z))) |
| 51.0ms | (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) |
| 7.0ms | (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z)) |
| 1× | rewrite-expression-head |
| 26× | add-sqr-sqrt_binary64 |
| 19× | *-un-lft-identity_binary64 |
| 17× | associate-*r*_binary64 |
| 17× | associate-*l*_binary64 |
| 17× | add-cube-cbrt_binary64 |
3 calls:
| 10.0ms | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) (fma.f64 y 313060547623/100000000000 x)) (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z))) |
| 7.0ms | (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) |
| 6.0ms | (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z)) |
| 1× | egg-herbie |
| 519× | times-frac_binary64 |
| 469× | associate-/l*_binary64 |
| 341× | fma-neg_binary64 |
| 188× | cancel-sign-sub-inv_binary64 |
| 167× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 251 | 3864 |
| 1 | 725 | 3389 |
| 2 | 2378 | 3231 |
| 3 | 4726 | 3231 |
| 4 | 4992 | 3231 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 216 | 0 | 216 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 216 | 10 | 226 |
| Status | Error | Program |
| 31.1b | (+.f64 (*.f64 55833770631/5000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (*.f64 313060547623/100000000000 (/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 a z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) x))))) | |
| ✓ | 30.1b | (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) |
| 44.7b | (fma.f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x))) (sqrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x))) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))) | |
| 30.4b | (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) | |
| 30.6b | (fma.f64 y (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (cbrt.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))) (/.f64 (cbrt.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) | |
| 32.4b | (+.f64 (fma.f64 1000000000000/607771387771 (*.f64 (*.f64 a z) y) x) (*.f64 (*.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441)))) | |
| 30.4b | (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) | |
| ▶ | 28.8b | (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) |
| ✓ | 27.9b | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) (fma.f64 y 313060547623/100000000000 x)) (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z))) |
| 33.0b | (fma.f64 y (-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 a z)) (*.f64 1000000000000/607771387771 b)) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 z b))) x) |
Compiled 7140 to 3820 computations (46.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 6.1b | (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)))) |
| ✓ | 7.3b | (/.f64 t (*.f64 z z)) |
| ✓ | 7.5b | (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) |
| ✓ | 11.5b | (-.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:
| 178.0ms | (-.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))))) |
| 43.0ms | (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)))) |
| 33.0ms | (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) |
| 28.0ms | (/.f64 t (*.f64 z z)) |
| 1× | rewrite-expression-head |
| 73× | *-un-lft-identity_binary64 |
| 32× | distribute-lft-out_binary64 |
| 21× | add-sqr-sqrt_binary64 |
| 20× | add-log-exp_binary64 |
| 19× | add-cube-cbrt_binary64 |
4 calls:
| 26.0ms | (-.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))))) |
| 16.0ms | (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) |
| 3.0ms | (/.f64 t (*.f64 z z)) |
| 0.0ms | (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)))) |
| 1× | egg-herbie |
| 778× | fma-def_binary64 |
| 411× | times-frac_binary64 |
| 330× | cancel-sign-sub-inv_binary64 |
| 290× | fma-neg_binary64 |
| 280× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 7071 |
| 1 | 491 | 6418 |
| 2 | 1946 | 5894 |
| 3 | 4571 | 5874 |
| 4 | 5014 | 5874 |
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 1 | 160 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 159 | 11 | 170 |
| Status | Error | Program |
| 30.6b | (fma.f64 y (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (cbrt.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))) (/.f64 (cbrt.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) | |
| 31.1b | (fma.f64 y (exp.f64 (log.f64 (-.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) | |
| 31.1b | (+.f64 (*.f64 55833770631/5000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (*.f64 313060547623/100000000000 (/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 a z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) x))))) | |
| ✓ | 30.1b | (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) |
| 44.7b | (fma.f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x))) (sqrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x))) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))) | |
| 30.4b | (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) | |
| 32.4b | (+.f64 (fma.f64 1000000000000/607771387771 (*.f64 (*.f64 a z) y) x) (*.f64 (*.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441)))) | |
| 30.4b | (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) | |
| ✓ | 28.8b | (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) |
| ✓ | 27.9b | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000)) (fma.f64 y 313060547623/100000000000 x)) (*.f64 (neg.f64 3652704169880641883561/100000000000000000000) (/.f64 y z))) |
| 33.0b | (fma.f64 y (-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 a z)) (*.f64 1000000000000/607771387771 b)) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 z b))) x) |
Compiled 9022 to 5714 computations (36.7% saved)
Total 0.8b remaining (96.4%)
Threshold costs 0.8b (96.4%)
Compiled 64184 to 45156 computations (29.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 30.373604191943148 | 112771622.27306676 | 111344112.01846091 |
| 9 | -2182150980.7640805 | -351.03887290636607 | -1381235740.2720332 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 258 |
| 1 | 86 | 258 |
| 2 | 97 | 258 |
| 3 | 101 | 258 |
| 4 | 103 | 258 |
| 5 | 102 | 258 |
Compiled 980 to 667 computations (31.9% saved)
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