Time bar (total: 13.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 25% | 74.9% | 0.2% | 5 |
| 25% | 74.9% | 0.2% | 6 |
| 25% | 74.9% | 0.2% | 7 |
| 37.4% | 62.4% | 0.2% | 8 |
| 56.1% | 43.7% | 0.2% | 9 |
| 56.1% | 43.7% | 0.2% | 10 |
| 56.1% | 43.7% | 0.2% | 11 |
| 65.5% | 34.3% | 0.2% | 12 |
| 76.4% | 23.4% | 0.2% | 13 |
| 76.4% | 23.4% | 0.2% | 14 |
Compiled 14 to 9 computations (35.7% saved)
(sort x y)
| 1.4s | 8256× | body | 128 | valid |
Compiled 41 to 26 computations (36.6% saved)
| 1× | egg-herbie |
| 1483× | associate-/l/_binary64 |
| 1068× | associate-/l*_binary64 |
| 1015× | associate-/r/_binary64 |
| 675× | *-commutative_binary64 |
| 404× | sqr-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 17 | 10 |
| 2 | 41 | 7 |
| 3 | 91 | 7 |
| 4 | 366 | 7 |
| 5 | 1228 | 7 |
| 6 | 1212 | 7 |
| 7 | 1225 | 7 |
| 8 | 1238 | 7 |
| 9 | 1245 | 7 |
| 10 | 1252 | 7 |
| 11 | 1259 | 7 |
| 12 | 1266 | 7 |
| 13 | 1273 | 7 |
| 14 | 1280 | 7 |
| 15 | 1287 | 7 |
| 16 | 1294 | 7 |
| 17 | 1301 | 7 |
| 18 | 1308 | 7 |
| 19 | 1315 | 7 |
| 20 | 1322 | 7 |
| 21 | 3032 | 7 |
| 22 | 2753 | 7 |
| 23 | 2781 | 7 |
| 24 | 2833 | 7 |
| 25 | 2977 | 7 |
| 26 | 3074 | 7 |
| 27 | 3494 | 7 |
| 28 | 3743 | 7 |
| 29 | 4033 | 7 |
| 30 | 4473 | 7 |
| 31 | 5028 | 7 |
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 |
| ▶ | 4.1b | (*.f64 x (/.f64 y z)) |
| 9.4b | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
Compiled 62 to 37 computations (40.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 4.1b | (*.f64 x (/.f64 y z)) |
1 calls:
| 20.0ms | (*.f64 x (/.f64 y z)) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 9× | *-un-lft-identity_binary64 |
| 9× | add-cube-cbrt_binary64 |
1 calls:
| 9.0ms | (*.f64 x (/.f64 y z)) |
| 1× | egg-herbie |
| 736× | fabs-mul_binary64 |
| 732× | sqr-pow_binary64 |
| 503× | pow-sqr_binary64 |
| 384× | associate-/l/_binary64 |
| 307× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 642 |
| 1 | 162 | 597 |
| 2 | 526 | 597 |
| 3 | 1312 | 597 |
| 4 | 2135 | 597 |
| 5 | 2239 | 597 |
| 6 | 2445 | 597 |
| 7 | 2751 | 597 |
| 8 | 3643 | 597 |
| 9 | 4500 | 597 |
| 10 | 4489 | 597 |
| 11 | 5931 | 597 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 8 | 50 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 43 | 9 | 52 |
| Status | Error | Program |
| 33.6b | (*.f64 (*.f64 x (/.f64 1 (sqrt.f64 z))) (/.f64 y (sqrt.f64 z))) | |
| 28.4b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 y z))) (*.f64 x (/.f64 y z)))) | |
| 18.3b | (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) | |
| 5.2b | (/.f64 (*.f64 y x) z) | |
| ✓ | 4.1b | (*.f64 x (/.f64 y z)) |
| 27.1b | (*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z)))) | |
| 5.3b | (*.f64 (*.f64 x y) (/.f64 1 z)) | |
| 33.6b | (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) | |
| ▶ | 3.6b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
Compiled 781 to 296 computations (62.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) |
| ✓ | 0.4b | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| ✓ | 0.6b | (cbrt.f64 y) |
| ✓ | 2.8b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
4 calls:
| 667.0ms | (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) |
| 79.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 60.0ms | (cbrt.f64 y) |
| 42.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
| 1× | rewrite-expression-head |
| 36× | add-sqr-sqrt_binary64 |
| 32× | add-exp-log_binary64 |
| 29× | associate-*r*_binary64 |
| 28× | cbrt-prod_binary64 |
| 27× | *-un-lft-identity_binary64 |
4 calls:
| 21.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
| 14.0ms | (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) |
| 9.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 1.0ms | (cbrt.f64 y) |
| 1× | egg-herbie |
| 621× | unswap-sqr_binary64 |
| 589× | associate-*l/_binary64 |
| 440× | times-frac_binary64 |
| 320× | associate-*l*_binary64 |
| 266× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 2293 |
| 1 | 364 | 1911 |
| 2 | 1572 | 1798 |
| 3 | 3571 | 1744 |
| 4 | 4823 | 1744 |
| 5 | 4951 | 1744 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 2 | 221 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 220 | 10 | 230 |
| Status | Error | Program |
| 33.6b | (*.f64 (*.f64 x (/.f64 1 (sqrt.f64 z))) (/.f64 y (sqrt.f64 z))) | |
| 28.4b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 y z))) (*.f64 x (/.f64 y z)))) | |
| 18.3b | (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) | |
| 5.2b | (/.f64 (*.f64 y x) z) | |
| 3.8b | (*.f64 (*.f64 x (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))) (/.f64 (cbrt.f64 y) z)) | |
| ✓ | 4.1b | (*.f64 x (/.f64 y z)) |
| ▶ | 3.1b | (*.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (cbrt.f64 z))) |
| 5.3b | (*.f64 (*.f64 x y) (/.f64 1 z)) | |
| 33.6b | (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) | |
| ✓ | 3.6b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
Compiled 4046 to 1162 computations (71.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| ✓ | 0.6b | (cbrt.f64 z) |
| 0.6b | (cbrt.f64 y) | |
| ✓ | 2.5b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) |
3 calls:
| 2.9s | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) |
| 96.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 56.0ms | (cbrt.f64 z) |
| 1× | rewrite-expression-head |
| 83× | add-exp-log_binary64 |
| 52× | prod-exp_binary64 |
| 27× | add-cbrt-cube_binary64 |
| 22× | add-sqr-sqrt_binary64 |
| 22× | cbrt-unprod_binary64 |
3 calls:
| 44.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) |
| 8.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 1.0ms | (cbrt.f64 z) |
| 1× | egg-herbie |
| 610× | associate-/r*_binary64 |
| 502× | associate-/l*_binary64 |
| 446× | fma-def_binary64 |
| 371× | log-div_binary64 |
| 344× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2966 |
| 1 | 400 | 2197 |
| 2 | 1266 | 2107 |
| 3 | 3790 | 2019 |
| 4 | 4920 | 2019 |
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 240 | 1 | 241 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 240 | 11 | 251 |
| Status | Error | Program |
| 33.6b | (*.f64 (*.f64 x (/.f64 1 (sqrt.f64 z))) (/.f64 y (sqrt.f64 z))) | |
| 28.4b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 y z))) (*.f64 x (/.f64 y z)))) | |
| 18.3b | (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) | |
| 5.2b | (/.f64 (*.f64 y x) z) | |
| 3.8b | (*.f64 (*.f64 x (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))) (/.f64 (cbrt.f64 y) z)) | |
| ✓ | 4.1b | (*.f64 x (/.f64 y z)) |
| ✓ | 3.1b | (*.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (cbrt.f64 z))) |
| ▶ | 3.1b | (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (/.f64 (cbrt.f64 y) (cbrt.f64 z))) |
| 5.3b | (*.f64 (*.f64 x y) (/.f64 1 z)) | |
| 33.6b | (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) | |
| ✓ | 3.6b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
Compiled 6602 to 2001 computations (69.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.6b | (cbrt.f64 z) | |
| 0.6b | (cbrt.f64 y) | |
| ✓ | 0.7b | (*.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) |
| ✓ | 2.1b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) |
2 calls:
| 2.3s | (*.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) |
| 1.9s | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) |
| 1× | rewrite-expression-head |
| 25× | add-exp-log_binary64 |
| 25× | pow1_binary64 |
| 21× | add-cbrt-cube_binary64 |
| 20× | associate-*r*_binary64 |
| 16× | cbrt-unprod_binary64 |
2 calls:
| 42.0ms | (*.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) |
| 34.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) |
| 1× | egg-herbie |
| 482× | *-commutative_binary64 |
| 451× | fma-def_binary64 |
| 295× | associate-*l*_binary64 |
| 253× | times-frac_binary64 |
| 201× | exp-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 3464 |
| 1 | 423 | 2985 |
| 2 | 1205 | 2885 |
| 3 | 3329 | 2807 |
| 4 | 4724 | 2807 |
| 5 | 4983 | 2807 |
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 0 | 245 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 245 | 11 | 256 |
| Status | Error | Program |
| 33.6b | (*.f64 (*.f64 x (/.f64 1 (sqrt.f64 z))) (/.f64 y (sqrt.f64 z))) | |
| 28.4b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 y z))) (*.f64 x (/.f64 y z)))) | |
| 18.3b | (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) | |
| 5.2b | (/.f64 (*.f64 y x) z) | |
| 3.8b | (*.f64 (*.f64 x (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))) (/.f64 (cbrt.f64 y) z)) | |
| ✓ | 4.1b | (*.f64 x (/.f64 y z)) |
| ✓ | 3.1b | (*.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (cbrt.f64 z))) |
| ✓ | 3.1b | (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (/.f64 (cbrt.f64 y) (cbrt.f64 z))) |
| 5.3b | (*.f64 (*.f64 x y) (/.f64 1 z)) | |
| 33.6b | (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) | |
| ✓ | 3.6b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) |
Compiled 8980 to 3197 computations (64.4% saved)
Total 3.6b remaining (99.2%)
Threshold costs 0b (0%)
Compiled 4539 to 2595 computations (42.8% saved)
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 91 |
| 1 | 38 | 91 |
| 2 | 37 | 91 |
Compiled 437 to 233 computations (46.7% saved)
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