Time bar (total: 15.4s)
| 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× | intervals |
| 29.0ms | 256× | body | 128 | valid |
| 2.0ms | 22× | body | 128 | invalid |
Compiled 93 to 67 computations (28% 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 |
| ▶ | 29.0b | (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) |
| 32.0b | (+.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 (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) |
| ✓ | 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) |
| ✓ | 28.1b | (/.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) |
| 526.0ms | (/.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) |
| 3.0ms | (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) |
| 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 (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) |
| 0.0ms | (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) |
| 1× | egg-herbie |
| 467× | cancel-sign-sub-inv_binary64 |
| 316× | fma-def_binary64 |
| 302× | fma-neg_binary64 |
| 258× | associate-+r+_binary64 |
| 231× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 18719 |
| 1 | 870 | 18272 |
| 2 | 2858 | 15157 |
| 3 | 4757 | 15157 |
| 4 | 4955 | 15157 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 150 | 6 | 156 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 151 | 7 | 158 |
| Status | Error | Program |
| ▶ | 23.7b | (-.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)))) |
| 24.5b | (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) | |
| 39.5b | (-.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)))))) | |
| ✓ | 29.0b | (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) |
| 28.7b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) | |
| 29.0b | (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) | |
| 29.0b | (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) |
Compiled 7765 to 4979 computations (35.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 4.7b | (*.f64 (/.f64 y (pow.f64 z 3)) t) |
| ✓ | 5.4b | (+.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))))) |
| ✓ | 5.7b | (/.f64 y (*.f64 z z)) |
| ✓ | 7.8b | (-.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)))) |
4 calls:
| 377.0ms | (-.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)))) |
| 297.0ms | (+.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))))) |
| 79.0ms | (*.f64 (/.f64 y (pow.f64 z 3)) t) |
| 28.0ms | (/.f64 y (*.f64 z z)) |
| 1× | rewrite-expression-head |
| 253× | times-frac_binary64 |
| 207× | add-sqr-sqrt_binary64 |
| 198× | associate-+r+_binary64 |
| 194× | *-un-lft-identity_binary64 |
| 192× | add-cube-cbrt_binary64 |
4 calls:
| 30.0ms | (+.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))))) |
| 19.0ms | (-.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)))) |
| 9.0ms | (*.f64 (/.f64 y (pow.f64 z 3)) t) |
| 3.0ms | (/.f64 y (*.f64 z z)) |
| 1× | egg-herbie |
| 512× | fma-def_binary64 |
| 509× | times-frac_binary64 |
| 384× | distribute-rgt-in_binary64 |
| 341× | distribute-lft-in_binary64 |
| 255× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 931 | 26190 |
| 1 | 1941 | 22302 |
| 2 | 4703 | 22290 |
| 3 | 4985 | 22290 |
| 4 | 4945 | 22290 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 653 | 0 | 653 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 653 | 7 | 660 |
| Status | Error | Program |
| ✓ | 23.7b | (-.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)))) |
| ▶ | 24.5b | (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) |
| 39.5b | (-.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)))))) | |
| ✓ | 29.0b | (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) |
| 28.7b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) | |
| 29.0b | (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) | |
| 29.0b | (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) |
Compiled 48339 to 23573 computations (51.2% 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)))) |
| ✓ | 6.6b | (/.f64 a (pow.f64 z 3)) |
| ✓ | 8.1b | (/.f64 t (*.f64 z z)) |
| ✓ | 8.7b | (-.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:
| 181.0ms | (-.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))))) |
| 62.0ms | (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)))) |
| 32.0ms | (/.f64 t (*.f64 z z)) |
| 31.0ms | (/.f64 a (pow.f64 z 3)) |
| 1× | rewrite-expression-head |
| 92× | *-un-lft-identity_binary64 |
| 44× | add-sqr-sqrt_binary64 |
| 42× | add-cube-cbrt_binary64 |
| 39× | times-frac_binary64 |
| 30× | distribute-lft-out_binary64 |
4 calls:
| 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))))) |
| 5.0ms | (/.f64 t (*.f64 z z)) |
| 4.0ms | (/.f64 a (pow.f64 z 3)) |
| 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 |
| 643× | fma-def_binary64 |
| 343× | unswap-sqr_binary64 |
| 315× | cancel-sign-sub-inv_binary64 |
| 213× | exp-sum_binary64 |
| 209× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 266 | 7229 |
| 1 | 518 | 6591 |
| 2 | 2326 | 6090 |
| 3 | 4293 | 6034 |
| 4 | 4729 | 6034 |
| 5 | 4911 | 6034 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 0 | 195 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 195 | 7 | 202 |
| Status | Error | Program |
| ✓ | 23.7b | (-.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)))) |
| ✓ | 24.5b | (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) |
| 39.5b | (-.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)))))) | |
| ✓ | 29.0b | (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) |
| ▶ | 28.7b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
| 29.0b | (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) | |
| 29.0b | (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) |
Compiled 10501 to 6503 computations (38.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
1 calls:
| 7.0ms | (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 |
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 0 | 21 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 21 | 7 | 28 |
| Status | Error | Program |
| ✓ | 23.7b | (-.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)))) |
| ✓ | 24.5b | (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) |
| 39.5b | (-.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)))))) | |
| ✓ | 29.0b | (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) |
| ✓ | 28.7b | (fma.f64 1000000000000/607771387771 (*.f64 b y) x) |
| 29.0b | (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) | |
| 29.0b | (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) |
Compiled 521 to 306 computations (41.3% saved)
Total 0.6b remaining (91.1%)
Threshold costs 0.6b (91.1%)
Compiled 36872 to 25148 computations (31.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1981920518069783.3 | 16137296962650946000.0 | 2971640955330196500.0 |
| 8 | -6243522562.45814 | -253173.18775826716 | -5147138818.563693 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 13× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 164 |
| 1 | 77 | 164 |
| 2 | 86 | 164 |
| 3 | 92 | 164 |
| 4 | 96 | 164 |
| 5 | 97 | 164 |
| 6 | 96 | 164 |
Compiled 120 to 74 computations (38.3% saved)
| 1× | intervals |
| 942.0ms | 8000× | body | 128 | valid |
| 124.0ms | 851× | body | 128 | invalid |
Compiled 473 to 309 computations (34.7% saved)
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