Time bar (total: 47.8s)
| 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 |
| 49.9% | 49.9% | 0.3% | 4 |
| 49.9% | 49.9% | 0.3% | 5 |
| 49.9% | 49.9% | 0.3% | 6 |
| 49.9% | 49.9% | 0.3% | 7 |
| 49.9% | 49.9% | 0.3% | 8 |
| 49.9% | 49.9% | 0.3% | 9 |
| 49.9% | 49.9% | 0.3% | 10 |
| 49.9% | 49.9% | 0.3% | 11 |
| 49.9% | 49.9% | 0.3% | 12 |
| 49.9% | 49.9% | 0.3% | 13 |
| 49.9% | 49.9% | 0.3% | 14 |
Compiled 44 to 31 computations (29.5% saved)
| 2.2s | 8256× | body | 128 | valid |
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 |
| 22.3b | (+.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))) | |
| ▶ | 20.9b | (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 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) |
| ✓ | 0.1b | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| ✓ | 20.8b | (/.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:
| 1.9s | (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) |
| 1.0s | (/.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)) |
| 12.0ms | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| 3.0ms | (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:
| 4.0ms | (/.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)) |
| 1.0ms | (fma.f64 z 313060547623/100000000000 55833770631/5000000000) |
| 1.0ms | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| 1.0ms | (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) |
| 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 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 8 | 148 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 142 | 8 | 150 |
| Status | Error | Program |
| 30.5b | (+.f64 (+.f64 (*.f64 (*.f64 1000000000000/607771387771 y) (+.f64 b (*.f64 z (+.f64 a (*.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (*.f64 z z) (*.f64 b y)) x)) (*.f64 -11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b))))) | |
| 30.9b | (fma.f64 y (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 313060547623/100000000000 (/.f64 3652704169880641883561/100000000000000000000 z))) x) | |
| 25.1b | (+.f64 (fma.f64 1000000000000/607771387771 (*.f64 (*.f64 a z) y) x) (*.f64 (*.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441)))) | |
| 24.3b | (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b)))) | |
| 20.9b | (+.f64 (*.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) | |
| 20.9b | (fma.f64 y (/.f64 (/.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))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 30.8b | (+.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))) | |
| ▶ | 20.9b | (fma.f64 y (+.f64 (/.f64 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 (*.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 55833770631/5000000000 (/.f64 (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 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)))))) (*.f64 313060547623/100000000000 (/.f64 (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))))))))))) x) |
Compiled 7837 to 5111 computations (34.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 7.9b | (/.f64 (*.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)))))) |
| ✓ | 14.9b | (/.f64 (*.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)))))) |
| ✓ | 18.7b | (/.f64 (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)))))) |
| ✓ | 19.0b | (/.f64 (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)))))) |
4 calls:
| 399.0ms | (/.f64 (*.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)))))) |
| 360.0ms | (/.f64 (*.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)))))) |
| 7.0ms | (/.f64 (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)))))) |
| 7.0ms | (/.f64 (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)))))) |
| 1× | rewrite-expression-head |
| 104× | *-un-lft-identity_binary64 |
| 84× | times-frac_binary64 |
| 54× | add-sqr-sqrt_binary64 |
| 54× | add-cube-cbrt_binary64 |
| 30× | unpow-prod-down_binary64 |
4 calls:
| 33.0ms | (/.f64 (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)))))) |
| 23.0ms | (/.f64 (*.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)))))) |
| 22.0ms | (/.f64 (*.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)))))) |
| 15.0ms | (/.f64 (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)))))) |
| 1× | egg-herbie |
| 449× | cancel-sign-sub-inv_binary64 |
| 357× | fma-neg_binary64 |
| 244× | unswap-sqr_binary64 |
| 239× | associate-/l*_binary64 |
| 185× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 367 | 11369 |
| 1 | 839 | 10641 |
| 2 | 3233 | 10593 |
| 3 | 4994 | 10593 |
| 4 | 5054 | 10593 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 324 | 0 | 324 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 324 | 8 | 332 |
| Status | Error | Program |
| 30.5b | (+.f64 (+.f64 (*.f64 (*.f64 1000000000000/607771387771 y) (+.f64 b (*.f64 z (+.f64 a (*.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (*.f64 z z) (*.f64 b y)) x)) (*.f64 -11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b))))) | |
| 30.9b | (fma.f64 y (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 313060547623/100000000000 (/.f64 3652704169880641883561/100000000000000000000 z))) x) | |
| 25.1b | (+.f64 (fma.f64 1000000000000/607771387771 (*.f64 (*.f64 a z) y) x) (*.f64 (*.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441)))) | |
| 24.3b | (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b)))) | |
| ▶ | 20.9b | (+.f64 (*.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) |
| 20.9b | (fma.f64 y (/.f64 (/.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))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 30.8b | (+.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))) | |
| ✓ | 20.9b | (fma.f64 y (+.f64 (/.f64 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 (*.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 55833770631/5000000000 (/.f64 (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 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)))))) (*.f64 313060547623/100000000000 (/.f64 (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))))))))))) x) |
Compiled 49423 to 38090 computations (22.9% 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) | |
| ✓ | 0.2b | (*.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))) |
| 20.8b | (/.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)) |
1 calls:
| 1.4s | (*.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))) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 9× | *-un-lft-identity_binary64 |
| 9× | add-cube-cbrt_binary64 |
1 calls:
| 10.0ms | (*.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))) |
| 1× | egg-herbie |
| 402× | fma-neg_binary64 |
| 325× | distribute-rgt-in_binary64 |
| 311× | distribute-lft-in_binary64 |
| 266× | times-frac_binary64 |
| 265× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 8342 |
| 1 | 624 | 8087 |
| 2 | 2402 | 6884 |
| 3 | 4633 | 6884 |
| 4 | 4988 | 6884 |
| 5 | 5117 | 6884 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 1 | 172 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 172 | 8 | 180 |
| Status | Error | Program |
| 22.2b | (+.f64 (*.f64 (*.f64 y (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) | |
| 30.5b | (+.f64 (+.f64 (*.f64 (*.f64 1000000000000/607771387771 y) (+.f64 b (*.f64 z (+.f64 a (*.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (*.f64 z z) (*.f64 b y)) x)) (*.f64 -11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b))))) | |
| 30.9b | (fma.f64 y (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 313060547623/100000000000 (/.f64 3652704169880641883561/100000000000000000000 z))) x) | |
| 24.3b | (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b)))) | |
| ✓ | 20.9b | (+.f64 (*.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) |
| ▶ | 20.9b | (fma.f64 y (/.f64 (/.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))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) |
| 30.8b | (+.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))) | |
| ✓ | 20.9b | (fma.f64 y (+.f64 (/.f64 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 (*.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 55833770631/5000000000 (/.f64 (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 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)))))) (*.f64 313060547623/100000000000 (/.f64 (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))))))))))) x) |
Compiled 8347 to 5274 computations (36.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) | |
| ✓ | 6.0b | (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) |
| ✓ | 12.6b | (/.f64 (/.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))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) |
| ✓ | 18.1b | (/.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))) |
3 calls:
| 953.0ms | (/.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))) |
| 920.0ms | (/.f64 (/.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))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) |
| 7.0ms | (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) |
| 1× | rewrite-expression-head |
| 276× | times-frac_binary64 |
| 157× | add-sqr-sqrt_binary64 |
| 156× | *-un-lft-identity_binary64 |
| 156× | add-cube-cbrt_binary64 |
| 147× | sqrt-prod_binary64 |
3 calls:
| 8.0ms | (/.f64 (/.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))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) |
| 3.0ms | (/.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))) |
| 1.0ms | (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) |
| 1× | egg-herbie |
| 733× | times-frac_binary64 |
| 367× | fma-def_binary64 |
| 250× | associate-/l/_binary64 |
| 229× | associate-+r+_binary64 |
| 220× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 480 | 30897 |
| 1 | 1286 | 29174 |
| 2 | 3770 | 28106 |
| 3 | 4972 | 28106 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 0 | 389 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 389 | 8 | 397 |
| Status | Error | Program |
| 22.2b | (+.f64 (*.f64 (*.f64 y (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) | |
| 30.5b | (+.f64 (+.f64 (*.f64 (*.f64 1000000000000/607771387771 y) (+.f64 b (*.f64 z (+.f64 a (*.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (*.f64 z z) (*.f64 b y)) x)) (*.f64 -11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b))))) | |
| 30.9b | (fma.f64 y (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 313060547623/100000000000 (/.f64 3652704169880641883561/100000000000000000000 z))) x) | |
| 24.3b | (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b)))) | |
| ✓ | 20.9b | (+.f64 (*.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) |
| ✓ | 20.9b | (fma.f64 y (/.f64 (/.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))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) |
| 30.8b | (+.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))) | |
| ✓ | 20.9b | (fma.f64 y (+.f64 (/.f64 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 (*.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 55833770631/5000000000 (/.f64 (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 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)))))) (*.f64 313060547623/100000000000 (/.f64 (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))))))))))) x) |
Compiled 26975 to 17581 computations (34.8% saved)
Total 0.5b remaining (60.9%)
Threshold costs 0.5b (60.9%)
Compiled 225720 to 160668 computations (28.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 2.779025842063515e+39 | 1.676103209762789e+40 | 6.433678393573731e+39 |
| 9 | -70566850115657286000.0 | -10339750199497.29 | -6.974765525849115e+19 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 13× | +-commutative_binary64 |
| 9× | *-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 151 |
| 1 | 84 | 151 |
| 2 | 100 | 151 |
| 3 | 106 | 151 |
| 4 | 109 | 151 |
| 5 | 106 | 151 |
Compiled 664 to 447 computations (32.7% saved)
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