Time bar (total: 31.0s)
| 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 |
| 207.0ms | 862× | 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 |
| ▶ | 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) |
| 31.6b | (+.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))) |
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) |
| ✓ | 29.3b | (/.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:
| 1.0s | (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) |
| 464.0ms | (/.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 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:
| 3.0ms | (/.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 313060547623/100000000000 55833770631/5000000000) |
| 0.0ms | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| 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 |
| 30.1b | (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) | |
| 31.3b | (+.f64 (+.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))) (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 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))))) | |
| 30.6b | (fma.f64 y (/.f64 (+.f64 (*.f64 a z) (+.f64 (*.f64 313060547623/100000000000 (pow.f64 z 4)) (+.f64 b (*.f64 55833770631/5000000000 (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)))))) x) | |
| 27.3b | (-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t)))) | |
| 27.3b | (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) | |
| 36.7b | (-.f64 (+.f64 (+.f64 (+.f64 x (*.f64 (*.f64 a y) (+.f64 (*.f64 z 1000000000000/607771387771) (*.f64 (pow.f64 z 3) 123439798033292669987862100000000000000/224502278183706222041215714334315011)))) (*.f64 y (*.f64 (*.f64 z z) (+.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 b) (*.f64 11166754126200/607771387771 z))))) (*.f64 y (*.f64 1000000000000/607771387771 (+.f64 (*.f64 t (*.f64 z z)) b)))) (fma.f64 11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b))) (*.f64 y (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1251144097444193138232650020820236307000000000000000/136446061169462227850157143060939731682147130481 b) (*.f64 11940090572100000000000000/369386059793087248348441 t)))))) | |
| ▶ | 23.2b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
| 30.7b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (*.f64 313060547623/100000000000 (pow.f64 z 2)) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) |
Compiled 7791 to 5055 computations (35.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
1 calls:
| 6.0ms | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
| 1× | rewrite-expression-head |
| 1× | *-un-lft-identity_binary64 |
| 1× | add-sqr-sqrt_binary64 |
| 1× | add-cube-cbrt_binary64 |
| 1× | add-cbrt-cube_binary64 |
| 1× | add-exp-log_binary64 |
1 calls:
| 0.0ms | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
| 1× | egg-herbie |
| 948× | distribute-rgt-in_binary64 |
| 932× | distribute-lft-in_binary64 |
| 726× | fma-def_binary64 |
| 634× | distribute-rgt-out_binary64 |
| 519× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 382 |
| 1 | 26 | 365 |
| 2 | 55 | 365 |
| 3 | 158 | 365 |
| 4 | 559 | 365 |
| 5 | 2181 | 365 |
| 6 | 5213 | 365 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 0 | 21 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 21 | 8 | 29 |
| Status | Error | Program |
| 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) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 31.3b | (+.f64 (+.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))) (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 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))))) | |
| 30.6b | (fma.f64 y (/.f64 (+.f64 (*.f64 a z) (+.f64 (*.f64 313060547623/100000000000 (pow.f64 z 4)) (+.f64 b (*.f64 55833770631/5000000000 (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)))))) x) | |
| ▶ | 27.3b | (-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t)))) |
| 27.3b | (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) | |
| 36.7b | (-.f64 (+.f64 (+.f64 (+.f64 x (*.f64 (*.f64 a y) (+.f64 (*.f64 z 1000000000000/607771387771) (*.f64 (pow.f64 z 3) 123439798033292669987862100000000000000/224502278183706222041215714334315011)))) (*.f64 y (*.f64 (*.f64 z z) (+.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 b) (*.f64 11166754126200/607771387771 z))))) (*.f64 y (*.f64 1000000000000/607771387771 (+.f64 (*.f64 t (*.f64 z z)) b)))) (fma.f64 11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b))) (*.f64 y (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1251144097444193138232650020820236307000000000000000/136446061169462227850157143060939731682147130481 b) (*.f64 11940090572100000000000000/369386059793087248348441 t)))))) | |
| ✓ | 23.2b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
| 30.7b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (*.f64 313060547623/100000000000 (pow.f64 z 2)) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) |
Compiled 1016 to 657 computations (35.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 4.6b | (/.f64 y (pow.f64 z 3)) |
| ✓ | 7.3b | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) |
| ✓ | 7.9b | (-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t)))) |
| ✓ | 8.7b | (/.f64 y (*.f64 z z)) |
4 calls:
| 374.0ms | (-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t)))) |
| 284.0ms | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) |
| 28.0ms | (/.f64 y (pow.f64 z 3)) |
| 25.0ms | (/.f64 y (*.f64 z z)) |
| 1× | rewrite-expression-head |
| 249× | times-frac_binary64 |
| 198× | associate-+r+_binary64 |
| 196× | *-un-lft-identity_binary64 |
| 196× | add-sqr-sqrt_binary64 |
| 194× | add-cube-cbrt_binary64 |
4 calls:
| 59.0ms | (-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t)))) |
| 28.0ms | (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) |
| 4.0ms | (/.f64 y (pow.f64 z 3)) |
| 3.0ms | (/.f64 y (*.f64 z z)) |
| 1× | egg-herbie |
| 494× | times-frac_binary64 |
| 478× | fma-def_binary64 |
| 384× | distribute-rgt-in_binary64 |
| 341× | distribute-lft-in_binary64 |
| 252× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 910 | 25822 |
| 1 | 1856 | 22040 |
| 2 | 4603 | 22000 |
| 3 | 5050 | 22000 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 622 | 2 | 624 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 623 | 9 | 632 |
| Status | Error | Program |
| 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) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 31.3b | (+.f64 (+.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))) (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 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))))) | |
| 30.6b | (fma.f64 y (/.f64 (+.f64 (*.f64 a z) (+.f64 (*.f64 313060547623/100000000000 (pow.f64 z 4)) (+.f64 b (*.f64 55833770631/5000000000 (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)))))) x) | |
| 28.0b | (*.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))) (fma.f64 y 313060547623/100000000000 x))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 t (/.f64 y (pow.f64 z 3))))))) (cbrt.f64 (-.f64 (fma.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))) (fma.f64 y 313060547623/100000000000 x))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 t (/.f64 y (pow.f64 z 3)))))))) (cbrt.f64 (-.f64 (fma.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))) (fma.f64 y 313060547623/100000000000 x))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 t (/.f64 y (pow.f64 z 3)))))))) | |
| 36.7b | (-.f64 (+.f64 (+.f64 (+.f64 x (*.f64 (*.f64 a y) (+.f64 (*.f64 z 1000000000000/607771387771) (*.f64 (pow.f64 z 3) 123439798033292669987862100000000000000/224502278183706222041215714334315011)))) (*.f64 y (*.f64 (*.f64 z z) (+.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 b) (*.f64 11166754126200/607771387771 z))))) (*.f64 y (*.f64 1000000000000/607771387771 (+.f64 (*.f64 t (*.f64 z z)) b)))) (fma.f64 11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b))) (*.f64 y (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1251144097444193138232650020820236307000000000000000/136446061169462227850157143060939731682147130481 b) (*.f64 11940090572100000000000000/369386059793087248348441 t)))))) | |
| 52.3b | (-.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z)))) (*.f64 (fma.f64 313060547623/100000000000 y x) (fma.f64 313060547623/100000000000 y x))) (*.f64 z (+.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 y (-.f64 (*.f64 (/.f64 t z) (/.f64 t z)) (*.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z)) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))))) (*.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 z (+.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z)))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t)))) | |
| ✓ | 23.2b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
| ▶ | 27.3b | (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) |
| 30.7b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (*.f64 313060547623/100000000000 (pow.f64 z 2)) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) |
Compiled 47445 to 23250 computations (51% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 6.7b | (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) |
| ✓ | 7.6b | (/.f64 t (*.f64 z z)) |
| ✓ | 8.1b | (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)))) |
| ✓ | 9.6b | (-.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:
| 206.0ms | (-.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))))) |
| 39.0ms | (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))) |
| 25.0ms | (/.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:
| 51.0ms | (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) |
| 28.0ms | (-.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))))) |
| 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 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 1 | 160 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 161 | 8 | 169 |
| Status | Error | Program |
| 28.0b | (*.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))) (fma.f64 y 313060547623/100000000000 x))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 t (/.f64 y (pow.f64 z 3))))))) (cbrt.f64 (-.f64 (fma.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))) (fma.f64 y 313060547623/100000000000 x))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 t (/.f64 y (pow.f64 z 3)))))))) (cbrt.f64 (-.f64 (fma.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))) (fma.f64 y 313060547623/100000000000 x))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 t (/.f64 y (pow.f64 z 3)))))))) | |
| 30.0b | (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) | |
| 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) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x) | |
| 31.3b | (+.f64 (+.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))) (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 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))))) | |
| 30.6b | (fma.f64 y (/.f64 (+.f64 (*.f64 a z) (+.f64 (*.f64 313060547623/100000000000 (pow.f64 z 4)) (+.f64 b (*.f64 55833770631/5000000000 (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)))))) x) | |
| 36.7b | (-.f64 (+.f64 (+.f64 (+.f64 x (*.f64 (*.f64 a y) (+.f64 (*.f64 z 1000000000000/607771387771) (*.f64 (pow.f64 z 3) 123439798033292669987862100000000000000/224502278183706222041215714334315011)))) (*.f64 y (*.f64 (*.f64 z z) (+.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 b) (*.f64 11166754126200/607771387771 z))))) (*.f64 y (*.f64 1000000000000/607771387771 (+.f64 (*.f64 t (*.f64 z z)) b)))) (fma.f64 11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b))) (*.f64 y (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1251144097444193138232650020820236307000000000000000/136446061169462227850157143060939731682147130481 b) (*.f64 11940090572100000000000000/369386059793087248348441 t)))))) | |
| ✓ | 23.2b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
| ✓ | 27.3b | (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) |
Compiled 8912 to 5620 computations (36.9% saved)
Total 0.6b remaining (94.1%)
Threshold costs 0.6b (94.1%)
Compiled 240592 to 148788 computations (38.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 81240970.34274043 | 534204780.83453876 | 528375782.30747956 |
| 6 | -8.789810058629339e+30 | -7.073050182504e+29 | -8.359891844987974e+30 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 9× | *-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 180 |
| 1 | 90 | 180 |
| 2 | 105 | 180 |
| 3 | 113 | 180 |
| 4 | 118 | 180 |
| 5 | 119 | 180 |
| 6 | 117 | 180 |
Compiled 768 to 485 computations (36.8% saved)
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