Time bar (total: 6.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 50% | 50% | 0% | 5 |
| 81.2% | 18.7% | 0% | 6 |
| 100% | 0% | 0% | 7 |
Compiled 175 to 47 computations (73.1% saved)
| 2.0s | 8256× | body | 128 | valid |
Compiled 524 to 140 computations (73.3% saved)
| 1× | egg-herbie |
| 755× | unswap-sqr_binary64 |
| 705× | fma-def_binary64 |
| 691× | distribute-rgt-out_binary64 |
| 576× | +-commutative_binary64 |
| 488× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 150 |
| 2 | 549 | 101 |
| 3 | 2427 | 90 |
| 4 | 3705 | 84 |
| 5 | 4529 | 84 |
| 6 | 4874 | 84 |
| 7 | 5887 | 84 |
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 |
| ▶ | 31.5b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
| 31.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 704 to 274 computations (61.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 (*.f64 x x) 7715471019/10000000000 1) |
| ✓ | 0.3b | (fma.f64 1049934947/10000000000 (*.f64 x x) 1) |
| ✓ | 15.5b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
| ✓ | 31.0b | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
4 calls:
| 7.0ms | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
| 6.0ms | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
| 2.0ms | (fma.f64 1049934947/10000000000 (*.f64 x x) 1) |
| 2.0ms | (fma.f64 (*.f64 x x) 7715471019/10000000000 1) |
| 1× | rewrite-expression-head |
| 25× | add-sqr-sqrt_binary64 |
| 20× | *-un-lft-identity_binary64 |
| 20× | add-cube-cbrt_binary64 |
| 19× | times-frac_binary64 |
| 13× | associate-*r*_binary64 |
4 calls:
| 7.0ms | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
| 2.0ms | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
| 0.0ms | (fma.f64 (*.f64 x x) 7715471019/10000000000 1) |
| 0.0ms | (fma.f64 1049934947/10000000000 (*.f64 x x) 1) |
| 1× | egg-herbie |
| 533× | associate-*l*_binary64 |
| 482× | associate-*r*_binary64 |
| 301× | fma-def_binary64 |
| 236× | associate-*r/_binary64 |
| 211× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 7935 |
| 1 | 437 | 7066 |
| 2 | 1287 | 7058 |
| 3 | 4538 | 7058 |
| 4 | 4758 | 7058 |
| 5 | 4997 | 7058 |
| 6 | 4901 | 7058 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 4 | 176 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 173 | 5 | 178 |
| Status | Error | Program |
| 31.5b | (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3))) | |
| 31.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) | |
| ▶ | 29.7b | (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))) |
| 34.3b | (-.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x) (fma.f64 833192009/1250000000 (pow.f64 x 3) (*.f64 9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))) | |
| 31.5b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
Compiled 14794 to 10828 computations (26.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
| ✓ | 0.1b | (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)) |
| ✓ | 0.1b | (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) |
| ✓ | 0.6b | (/.f64 600041/2386628 (pow.f64 x 3)) |
4 calls:
| 5.0ms | (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)) |
| 3.0ms | (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) |
| 3.0ms | (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
| 3.0ms | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 1× | rewrite-expression-head |
| 89× | times-frac_binary64 |
| 74× | *-un-lft-identity_binary64 |
| 68× | add-sqr-sqrt_binary64 |
| 68× | add-cube-cbrt_binary64 |
| 36× | unpow-prod-down_binary64 |
4 calls:
| 24.0ms | (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
| 4.0ms | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 3.0ms | (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)) |
| 3.0ms | (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) |
| 1× | egg-herbie |
| 834× | fma-def_binary64 |
| 461× | associate-/l*_binary64 |
| 396× | associate-*l/_binary64 |
| 392× | associate-/l/_binary64 |
| 182× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 2747 |
| 1 | 498 | 2648 |
| 2 | 1563 | 2554 |
| 3 | 4597 | 2554 |
| 4 | 5117 | 2554 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 222 | 0 | 222 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 222 | 5 | 227 |
| Status | Error | Program |
| 31.5b | (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3))) | |
| 31.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) | |
| ✓ | 29.7b | (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))) |
| 34.3b | (-.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x) (fma.f64 833192009/1250000000 (pow.f64 x 3) (*.f64 9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))) | |
| ▶ | 31.5b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
Compiled 6957 to 5426 computations (22% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
| ✓ | 11.0b | (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)) |
| ✓ | 15.5b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
| ✓ | 31.0b | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
4 calls:
| 9.0ms | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
| 6.0ms | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
| 3.0ms | (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)) |
| 2.0ms | (fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
| 1× | rewrite-expression-head |
| 28× | add-sqr-sqrt_binary64 |
| 23× | *-un-lft-identity_binary64 |
| 23× | add-cube-cbrt_binary64 |
| 19× | times-frac_binary64 |
| 13× | associate-*r*_binary64 |
4 calls:
| 5.0ms | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
| 2.0ms | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
| 2.0ms | (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)) |
| 0.0ms | (fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
| 1× | egg-herbie |
| 292× | fma-def_binary64 |
| 258× | *-commutative_binary64 |
| 236× | associate-*r/_binary64 |
| 231× | fma-neg_binary64 |
| 211× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 8147 |
| 1 | 457 | 7277 |
| 2 | 1352 | 7269 |
| 3 | 3829 | 7269 |
| 4 | 4845 | 7255 |
| 5 | 4968 | 7255 |
| 6 | 4910 | 7255 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 0 | 175 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 175 | 5 | 180 |
| Status | Error | Program |
| ▶ | 31.5b | (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3))) |
| 31.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) | |
| ✓ | 29.7b | (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))) |
| 34.3b | (-.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x) (fma.f64 833192009/1250000000 (pow.f64 x 3) (*.f64 9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))) | |
| ✓ | 31.5b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
Compiled 15183 to 11218 computations (26.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (fma.f64 (*.f64 x x) 1049934947/10000000000 1) | |
| ✓ | 11.4b | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3)) |
| ✓ | 15.5b | (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3))) |
| ✓ | 31.0b | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
3 calls:
| 7.0ms | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3)) |
| 6.0ms | (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3))) |
| 6.0ms | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
| 1× | rewrite-expression-head |
| 70× | cbrt-prod_binary64 |
| 58× | add-sqr-sqrt_binary64 |
| 47× | times-frac_binary64 |
| 43× | *-un-lft-identity_binary64 |
| 43× | add-cube-cbrt_binary64 |
3 calls:
| 12.0ms | (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3))) |
| 4.0ms | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3)) |
| 2.0ms | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
| 1× | egg-herbie |
| 802× | times-frac_binary64 |
| 627× | fma-def_binary64 |
| 227× | associate-/l/_binary64 |
| 187× | unswap-sqr_binary64 |
| 156× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 16184 |
| 1 | 565 | 14482 |
| 2 | 1767 | 13725 |
| 3 | 4883 | 13725 |
| 4 | 5223 | 13725 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 0 | 177 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 177 | 5 | 182 |
| Status | Error | Program |
| ✓ | 31.5b | (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 (*.f64 x x) 1049934947/10000000000 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 3))) |
| 31.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) | |
| ✓ | 29.7b | (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))) |
| 34.3b | (-.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x) (fma.f64 833192009/1250000000 (pow.f64 x 3) (*.f64 9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))) | |
| ✓ | 31.5b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1049934947/10000000000 1) 3)))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) |
Compiled 16879 to 12633 computations (25.2% saved)
Total 0.0b remaining (82.8%)
Threshold costs 0.0b (82.8%)
Compiled 15292 to 11386 computations (25.5% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 1 | 243739632.0032699 | 6226340524349144000.0 | 38106859174601.4 |
| 1 | -2.9198238957304016e+21 | -13373965154.88121 | -6290465779348505.0 |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 162 |
| 1 | 66 | 162 |
| 2 | 65 | 162 |
Compiled 570 to 346 computations (39.3% saved)
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