Time bar (total: 4.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 50% | 50% | 2 |
| 0% | 50% | 50% | 3 |
| 0% | 50% | 50% | 4 |
| 6.2% | 43.7% | 50% | 5 |
| 9.4% | 28.1% | 62.5% | 6 |
| 12.5% | 25% | 62.5% | 7 |
| 15.6% | 15.6% | 68.8% | 8 |
| 16.8% | 14.4% | 68.8% | 9 |
| 18.5% | 8.8% | 72.7% | 10 |
| 19.2% | 7.7% | 73.1% | 11 |
| 20.1% | 4.6% | 75.2% | 12 |
| 20.5% | 4% | 75.5% | 13 |
| 21% | 2.4% | 76.6% | 14 |
Compiled 23 to 20 computations (13% saved)
| 1× | intervals |
| 22.0ms | 256× | body | 128 | valid |
| 1.0ms | 9× | body | 128 | invalid |
| 1.0ms | 9× | body | 128 | nan |
Compiled 47 to 41 computations (12.8% saved)
| 1× | egg-herbie |
| 1035× | fma-def_binary64 |
| 742× | fma-neg_binary64 |
| 189× | distribute-rgt-in_binary64 |
| 173× | cancel-sign-sub-inv_binary64 |
| 156× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 24 |
| 1 | 32 | 21 |
| 2 | 75 | 19 |
| 3 | 168 | 19 |
| 4 | 358 | 19 |
| 5 | 678 | 19 |
| 6 | 901 | 19 |
| 7 | 1446 | 19 |
| 8 | 1914 | 19 |
| 9 | 1873 | 19 |
| 10 | 1916 | 19 |
| 11 | 1915 | 19 |
| 12 | 1912 | 19 |
| 13 | 2465 | 19 |
| 14 | 2465 | 19 |
| 15 | 2321 | 19 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
Compiled 89 to 74 computations (16.9% saved)
Found 4 expressions with local error:
| 0.1b | (fma.f64 a 9 -3) |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 0.1b | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 0.6b | (sqrt.f64 (fma.f64 a 9 -3)) |
| 1× | rewrite-expression-head |
| 32× | add-cube-cbrt_binary64 |
| 23× | pow1_binary64 |
| 22× | add-sqr-sqrt_binary64 |
| 18× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
4 calls:
| 18.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 13.0ms | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 11.0ms | (fma.f64 a 9 -3) |
| 10.0ms | (sqrt.f64 (fma.f64 a 9 -3)) |
Compiled 3066 to 2431 computations (20.7% saved)
4 calls:
| 25.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 19.0ms | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 7.0ms | (fma.f64 a 9 -3) |
| 5.0ms | (sqrt.f64 (fma.f64 a 9 -3)) |
Compiled 874 to 695 computations (20.5% saved)
| 1× | egg-herbie |
| 666× | fma-def_binary64 |
| 569× | associate-/l*_binary64 |
| 242× | cancel-sign-sub-inv_binary64 |
| 164× | associate-*l*_binary64 |
| 159× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 2573 |
| 1 | 506 | 2357 |
| 2 | 1979 | 2298 |
| 3 | 5280 | 2298 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 6 | 117 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 7 | 119 |
| Status | Error | Program |
| 1.3b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) | |
| 26.9b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) | |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 0.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))))) | |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) |
| 0.4b | (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) | |
| 41.2b | (/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 1 (*.f64 (/.f64 rand (fma.f64 9 a -3)) rand))) (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) |
Compiled 2254 to 1784 computations (20.9% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) |
| 0.1b | (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) |
| 0.2b | (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
| 0.6b | (/.f64 1 (fma.f64 9 a -3)) |
| 1× | rewrite-expression-head |
| 32× | add-cube-cbrt_binary64 |
| 26× | add-sqr-sqrt_binary64 |
| 23× | pow1_binary64 |
| 20× | add-exp-log_binary64 |
| 20× | add-cbrt-cube_binary64 |
4 calls:
| 20.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) |
| 15.0ms | (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
| 15.0ms | (/.f64 1 (fma.f64 9 a -3)) |
| 10.0ms | (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) |
Compiled 3796 to 3131 computations (17.5% saved)
4 calls:
| 24.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) |
| 19.0ms | (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
| 10.0ms | (/.f64 1 (fma.f64 9 a -3)) |
| 5.0ms | (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) |
Compiled 1079 to 869 computations (19.5% saved)
| 1× | egg-herbie |
| 841× | fma-def_binary64 |
| 327× | times-frac_binary64 |
| 303× | unswap-sqr_binary64 |
| 272× | cancel-sign-sub-inv_binary64 |
| 233× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 3170 |
| 1 | 559 | 2837 |
| 2 | 2125 | 2800 |
| 3 | 4944 | 2800 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 3 | 140 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 141 | 6 | 147 |
| Status | Error | Program |
| 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/27 (*.f64 a a))))))) | |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 1.3b | (*.f64 (*.f64 (cbrt.f64 (-.f64 a 1/3)) (cbrt.f64 (-.f64 a 1/3))) (*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (cbrt.f64 (+.f64 -1/3 a)))) | |
| ▶ | 0.4b | (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) |
| 3.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 3))))) | |
| 41.2b | (/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 1 (*.f64 (/.f64 rand (fma.f64 9 a -3)) rand))) (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) |
Compiled 2610 to 2102 computations (19.5% saved)
Found 4 expressions with local error:
| 0.2b | (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) |
| 0.6b | (sqrt.f64 (fma.f64 a 9 -3)) |
| 0.6b | (sqrt.f64 (fma.f64 9 a -3)) |
| 0.6b | (sqrt.f64 (fma.f64 9 a -3)) |
| 1× | rewrite-expression-head |
| 25× | add-cube-cbrt_binary64 |
| 22× | add-sqr-sqrt_binary64 |
| 14× | pow1_binary64 |
| 12× | pow1/2_binary64 |
| 12× | log1p-expm1-u_binary64 |
4 calls:
| 53.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 12.0ms | (sqrt.f64 (fma.f64 a 9 -3)) |
| 11.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 11.0ms | (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) |
Compiled 4287 to 3511 computations (18.1% saved)
4 calls:
| 41.0ms | (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) |
| 8.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 7.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 7.0ms | (sqrt.f64 (fma.f64 a 9 -3)) |
Compiled 2248 to 1869 computations (16.9% saved)
| 1× | egg-herbie |
| 682× | times-frac_binary64 |
| 490× | fma-def_binary64 |
| 399× | associate-/l*_binary64 |
| 393× | fma-neg_binary64 |
| 290× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1593 |
| 1 | 239 | 1555 |
| 2 | 477 | 1521 |
| 3 | 1297 | 1449 |
| 4 | 4163 | 1448 |
| 5 | 4938 | 1448 |
| 6 | 4907 | 1448 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 1 | 48 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 47 | 7 | 54 |
| Status | Error | Program |
| ▶ | 0.4b | (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (+.f64 1 (/.f64 rand (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/27 (*.f64 a a))))))) | |
| 1.3b | (*.f64 (*.f64 (cbrt.f64 (-.f64 a 1/3)) (cbrt.f64 (-.f64 a 1/3))) (*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (cbrt.f64 (+.f64 -1/3 a)))) | |
| ✓ | 0.4b | (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) |
| 3.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 3))))) | |
| 41.2b | (/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 1 (*.f64 (/.f64 rand (fma.f64 9 a -3)) rand))) (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) |
Compiled 2197 to 1786 computations (18.7% saved)
Found 4 expressions with local error:
| 0.6b | (sqrt.f64 (fma.f64 9 a -3)) |
| 0.6b | (sqrt.f64 (fma.f64 9 a -3)) |
| 0.6b | (sqrt.f64 (fma.f64 9 a -3)) |
| 0.6b | (sqrt.f64 (fma.f64 9 a -3)) |
| 1× | rewrite-expression-head |
| 24× | add-sqr-sqrt_binary64 |
| 24× | add-cube-cbrt_binary64 |
| 16× | pow1_binary64 |
| 16× | pow1/2_binary64 |
| 12× | add-cbrt-cube_binary64 |
4 calls:
| 12.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 11.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 11.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 11.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
Compiled 5541 to 4608 computations (16.8% saved)
4 calls:
| 10.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 10.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 8.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
| 8.0ms | (sqrt.f64 (fma.f64 9 a -3)) |
Compiled 1502 to 1242 computations (17.3% saved)
| 1× | egg-herbie |
| 423× | sqr-pow_binary64 |
| 374× | unswap-sqr_binary64 |
| 359× | *-commutative_binary64 |
| 277× | fma-def_binary64 |
| 253× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 896 |
| 1 | 48 | 880 |
| 2 | 67 | 880 |
| 3 | 98 | 880 |
| 4 | 140 | 872 |
| 5 | 205 | 872 |
| 6 | 469 | 872 |
| 7 | 955 | 872 |
| 8 | 1652 | 872 |
| 9 | 1997 | 872 |
| 10 | 2359 | 872 |
| 11 | 2774 | 872 |
| 12 | 3414 | 872 |
| 13 | 4683 | 872 |
| 14 | 4982 | 872 |
| 15 | 4570 | 872 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 1 | 40 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 39 | 8 | 47 |
| Status | Error | Program |
| 0.4b | (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (+.f64 1 (/.f64 rand (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) | |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) | |
| 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/27 (*.f64 a a))))))) | |
| 3.4b | (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 rand (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 3))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (+.f64 1 (/.f64 rand (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) | |
| 1.3b | (*.f64 (*.f64 (cbrt.f64 (-.f64 a 1/3)) (cbrt.f64 (-.f64 a 1/3))) (*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (cbrt.f64 (+.f64 -1/3 a)))) | |
| 0.4b | (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) | |
| 3.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 3))))) | |
| 41.2b | (/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 1 (*.f64 (/.f64 rand (fma.f64 9 a -3)) rand))) (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) |
Compiled 2090 to 1733 computations (17.1% saved)
Total 0.1b remaining (70.2%)
Threshold costs 0.1b (70.2%)
Compiled 11738 to 9606 computations (18.2% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 19 |
| 1 | 20 | 19 |
| 2 | 21 | 19 |
| 3 | 19 | 19 |
Compiled 15 to 12 computations (20% saved)
| 1× | intervals |
| 614.0ms | 8000× | body | 128 | valid |
| 20.0ms | 255× | body | 128 | invalid |
| 16.0ms | 242× | body | 128 | nan |
Compiled 301 to 247 computations (17.9% saved)
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