Time bar (total: 5.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 50% | 50% | 4 |
| 0% | 50% | 50% | 5 |
| 12.5% | 37.5% | 50% | 6 |
| 18.7% | 31.2% | 50% | 7 |
| 28.1% | 21.9% | 50% | 8 |
| 32.8% | 17.2% | 50% | 9 |
| 38.2% | 11.7% | 50% | 10 |
| 41% | 9% | 50% | 11 |
| 43.9% | 6% | 50% | 12 |
| 45.4% | 4.6% | 50% | 13 |
| 46.9% | 3.1% | 50% | 14 |
Compiled 31 to 22 computations (29% saved)
| 1.1s | 8256× | body | 128 | valid |
| 1.0ms | 9× | body | 128 | invalid |
Compiled 92 to 65 computations (29.3% saved)
| 1× | egg-herbie |
| 826× | times-frac_binary64 |
| 467× | associate-/r*_binary64 |
| 351× | associate-/l*_binary64 |
| 245× | associate-*l*_binary64 |
| 222× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 43 |
| 1 | 58 | 43 |
| 2 | 190 | 38 |
| 3 | 949 | 36 |
| 1× | node limit |
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 |
| ▶ | 0.3b | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
| 0.3b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
Compiled 166 to 113 computations (31.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) |
| ✓ | 0.0b | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.2b | (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| ✓ | 0.2b | (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) |
4 calls:
| 110.0ms | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
| 77.0ms | (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) |
| 22.0ms | (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| 8.0ms | (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) |
| 1× | batch-egg-rewrite |
| 187× | add-sqr-sqrt_binary64 |
| 178× | log1p-expm1-u_binary64 |
| 178× | expm1-log1p-u_binary64 |
| 176× | add-cbrt-cube_binary64 |
| 175× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 94 |
| 1 | 387 | 94 |
| 1× | node limit |
4 calls:
| 40.0ms | (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) |
| 40.0ms | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
| 40.0ms | (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| 40.0ms | (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) |
| 1× | egg-herbie |
| 345× | associate-/r*_binary64 |
| 307× | fma-def_binary64 |
| 219× | associate-*r*_binary64 |
| 202× | associate-+r+_binary64 |
| 191× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 355 | 4369 |
| 1 | 1374 | 4312 |
| 1× | node limit |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 210 | 5 | 215 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 212 | 5 | 217 |
| Status | Error | Program |
| 0.4b | (/.f64 (*.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v))) | |
| 1.0b | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2))))) (-.f64 1 (*.f64 v v))) | |
| 0.7b | (*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64))) t)) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))) | |
| 0.6b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (-.f64 1 (*.f64 v v))) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) t)))) | |
| ▶ | 0.3b | (/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
Compiled 9044 to 6040 computations (33.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) | |
| ✓ | 0.0b | (/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| ✓ | 0.3b | (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) |
3 calls:
| 114.0ms | (/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
| 80.0ms | (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) |
| 11.0ms | (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| 1× | batch-egg-rewrite |
| 203× | add-sqr-sqrt_binary64 |
| 193× | log1p-expm1-u_binary64 |
| 193× | expm1-log1p-u_binary64 |
| 191× | add-cbrt-cube_binary64 |
| 190× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 80 |
| 1 | 419 | 80 |
| 1× | node limit |
3 calls:
| 39.0ms | (/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
| 39.0ms | (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| 39.0ms | (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) |
| 1× | egg-herbie |
| 352× | associate-/r*_binary64 |
| 304× | fma-def_binary64 |
| 239× | fma-neg_binary64 |
| 230× | associate-+r+_binary64 |
| 215× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 3925 |
| 1 | 1291 | 3853 |
| 2 | 4763 | 3853 |
| 1× | node limit |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 1 | 213 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 213 | 5 | 218 |
| Status | Error | Program |
| 0.7b | (*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64))) t)) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))) | |
| ▶ | 0.2b | (/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v))) |
| 0.4b | (/.f64 (*.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v))) | |
| 0.6b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (-.f64 1 (*.f64 v v))) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) t)))) | |
| ✓ | 0.3b | (/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
Compiled 9100 to 6198 computations (31.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| 0.0b | (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) | |
| ✓ | 0.0b | (/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.1b | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) |
3 calls:
| 111.0ms | (/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v))) |
| 77.0ms | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) |
| 13.0ms | (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| 1× | batch-egg-rewrite |
| 191× | add-sqr-sqrt_binary64 |
| 182× | log1p-expm1-u_binary64 |
| 182× | expm1-log1p-u_binary64 |
| 180× | add-cbrt-cube_binary64 |
| 179× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 87 |
| 1 | 393 | 87 |
| 1× | node limit |
3 calls:
| 46.0ms | (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) |
| 46.0ms | (/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v))) |
| 46.0ms | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) |
| 1× | egg-herbie |
| 351× | associate-/r*_binary64 |
| 306× | fma-def_binary64 |
| 255× | fma-neg_binary64 |
| 243× | associate-+r+_binary64 |
| 228× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 4051 |
| 1 | 1319 | 3977 |
| 2 | 4832 | 3977 |
| 1× | node limit |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 1 | 231 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 231 | 5 | 236 |
| Status | Error | Program |
| ▶ | 0.4b | (/.f64 (*.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v))) |
| 0.7b | (*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 (PI.f64) t))) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))) | |
| ✓ | 0.2b | (/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v))) |
| 0.6b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (-.f64 1 (*.f64 v v))) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) t)))) | |
| ✓ | 0.3b | (/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
Compiled 9922 to 6738 computations (32.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (*.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.3b | (*.f64 t (PI.f64)) |
| ✓ | 0.3b | (/.f64 1 (*.f64 t (PI.f64))) |
| ✓ | 0.4b | (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) |
4 calls:
| 112.0ms | (/.f64 (*.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v))) |
| 62.0ms | (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) |
| 14.0ms | (/.f64 1 (*.f64 t (PI.f64))) |
| 2.0ms | (*.f64 t (PI.f64)) |
| 1× | batch-egg-rewrite |
| 201× | add-sqr-sqrt_binary64 |
| 191× | log1p-expm1-u_binary64 |
| 191× | expm1-log1p-u_binary64 |
| 189× | add-cbrt-cube_binary64 |
| 188× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 72 |
| 1 | 415 | 67 |
| 1× | node limit |
4 calls:
| 41.0ms | (/.f64 (*.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v))) |
| 41.0ms | (*.f64 t (PI.f64)) |
| 41.0ms | (/.f64 1 (*.f64 t (PI.f64))) |
| 41.0ms | (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) |
| 1× | egg-herbie |
| 364× | cancel-sign-sub-inv_binary64 |
| 247× | associate-/r*_binary64 |
| 220× | fma-def_binary64 |
| 218× | sub-neg_binary64 |
| 201× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 253 | 3068 |
| 1 | 965 | 2964 |
| 2 | 3479 | 2963 |
| 1× | node limit |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 0 | 168 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 168 | 5 | 173 |
| Status | Error | Program |
| ✓ | 0.4b | (/.f64 (*.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v))) |
| 0.7b | (*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 (PI.f64) t))) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))) | |
| ✓ | 0.2b | (/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v))) |
| 0.6b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (-.f64 1 (*.f64 v v))) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) t)))) | |
| ✓ | 0.3b | (/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v))) |
Compiled 6902 to 4478 computations (35.1% saved)
Total 0.1b remaining (95.5%)
Threshold costs 0.1b (95.5%)
Compiled 31753 to 23026 computations (27.5% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 36 |
| 1 | 27 | 36 |
| 2 | 34 | 36 |
| 3 | 38 | 36 |
| 4 | 40 | 36 |
| 1× | saturated |
Compiled 199 to 145 computations (27.1% saved)
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