Time bar (total: 6.9s)
| 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 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 6.2% | 93.6% | 0.2% | 9 |
| 9.4% | 90.4% | 0.2% | 10 |
| 14% | 83.4% | 2.5% | 11 |
| 18.7% | 78.2% | 3.1% | 12 |
| 28.1% | 65.5% | 6.4% | 13 |
| 30.7% | 59.4% | 9.9% | 14 |
Compiled 20 to 12 computations (40% saved)
| 982.0ms | 8256× | body | 128 | valid |
| 746.0ms | 6229× | body | 128 | invalid |
Compiled 59 to 35 computations (40.7% saved)
| 1× | egg-herbie |
| 8× | associate-/l*_binary64 |
| 6× | associate-*r/_binary64 |
| 6× | associate-/r/_binary64 |
| 6× | fma-def_binary64 |
| 4× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 25 | 20 |
| 2 | 45 | 20 |
| 3 | 59 | 20 |
| 4 | 61 | 20 |
| 1× | saturated |
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 |
| ▶ | 12.2b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (/.f64 x (*.f64 y y)))) |
| 31.3b | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 107 to 55 computations (48.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (/.f64 x (*.f64 y y)))) |
| ✓ | 5.1b | (*.f64 x (/.f64 x (*.f64 y y))) |
| ✓ | 7.9b | (/.f64 x (*.f64 y y)) |
3 calls:
| 63.0ms | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (/.f64 x (*.f64 y y)))) |
| 25.0ms | (*.f64 x (/.f64 x (*.f64 y y))) |
| 23.0ms | (/.f64 x (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 565× | log-prod_binary64 |
| 257× | prod-diff_binary64 |
| 192× | expm1-udef_binary64 |
| 192× | log1p-udef_binary64 |
| 180× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 211 | 27 |
| 2 | 2881 | 27 |
| 1× | node limit |
3 calls:
| 53.0ms | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (/.f64 x (*.f64 y y)))) |
| 53.0ms | (*.f64 x (/.f64 x (*.f64 y y))) |
| 53.0ms | (/.f64 x (*.f64 y y)) |
| 1× | egg-herbie |
| 652× | unswap-sqr_binary64 |
| 529× | associate-/l*_binary64 |
| 347× | associate-/r*_binary64 |
| 289× | associate-/l/_binary64 |
| 229× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 1320 |
| 1 | 29 | 1320 |
| 2 | 55 | 1248 |
| 3 | 143 | 1248 |
| 4 | 622 | 1248 |
| 5 | 3635 | 1248 |
| 6 | 4970 | 1248 |
| 1× | node limit |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 10 | 103 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 95 | 10 | 105 |
| Status | Error | Program |
| 1.2b | (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2)) 3) | |
| 39.1b | (/.f64 z (/.f64 (*.f64 t t) z)) | |
| 26.0b | (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2) 2))) | |
| 42.6b | (/.f64 (pow.f64 z 2) (pow.f64 t 2)) | |
| 12.6b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (*.f64 x (pow.f64 y -2)))) | |
| ▶ | 0.4b | (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2) |
| 34.4b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (pow.f64 (/.f64 (sqrt.f64 x) y) 2))) | |
| 5.1b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)))) | |
| 4.7b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (*.f64 (/.f64 x y) (/.f64 1 y)))) | |
| 11.0b | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 x x) y) y)) |
Compiled 2084 to 918 computations (56% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 (/.f64 z t) (/.f64 x y)) |
| ✓ | 0.4b | (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2) |
2 calls:
| 208.0ms | (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2) |
| 39.0ms | (hypot.f64 (/.f64 z t) (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 506× | log-prod_binary64 |
| 188× | expm1-udef_binary64 |
| 188× | log1p-udef_binary64 |
| 176× | pow3_binary64 |
| 171× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 212 | 23 |
| 2 | 2683 | 23 |
| 1× | node limit |
2 calls:
| 44.0ms | (hypot.f64 (/.f64 z t) (/.f64 x y)) |
| 44.0ms | (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2) |
| 1× | egg-herbie |
| 907× | associate-/l*_binary64 |
| 766× | associate-/r*_binary64 |
| 196× | fma-def_binary64 |
| 140× | associate-/r/_binary64 |
| 140× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 2816 |
| 1 | 275 | 2768 |
| 2 | 1183 | 2632 |
| 1× | node limit |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 6 | 107 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 106 | 11 | 117 |
| Status | Error | Program |
| 1.2b | (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2)) 3) | |
| 39.1b | (/.f64 z (/.f64 (*.f64 t t) z)) | |
| 0.8b | (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| 11.0b | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 x x) y) y)) | |
| 4.7b | (fma.f64 x (*.f64 (/.f64 1 y) (/.f64 x y)) (pow.f64 (/.f64 z t) 2)) | |
| 12.6b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (*.f64 x (pow.f64 y -2)))) | |
| ▶ | 0.8b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 3.1b | (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 1 t) (pow.f64 (/.f64 x y) 2)) | |
| 34.4b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (pow.f64 (/.f64 (sqrt.f64 x) y) 2))) | |
| 0.8b | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 x y)) (pow.f64 (/.f64 z t) 2)) | |
| 4.8b | (fma.f64 z (*.f64 (/.f64 1 t) (/.f64 z t)) (pow.f64 (/.f64 x y) 2)) |
Compiled 2574 to 1252 computations (51.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2))) |
| 0.4b | (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2) | |
| ✓ | 1.3b | (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| ✓ | 9.4b | (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2)) |
3 calls:
| 136.0ms | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2))) |
| 87.0ms | (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2)) |
| 79.0ms | (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 1× | batch-egg-rewrite |
| 626× | log-prod_binary64 |
| 227× | expm1-udef_binary64 |
| 227× | log1p-udef_binary64 |
| 212× | log-pow_binary64 |
| 138× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 1 | 267 | 54 |
| 2 | 3278 | 54 |
| 1× | node limit |
3 calls:
| 64.0ms | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2))) |
| 64.0ms | (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 64.0ms | (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2)) |
| 1× | egg-herbie |
| 628× | times-frac_binary64 |
| 508× | fma-def_binary64 |
| 443× | associate-/l*_binary64 |
| 376× | associate-/r*_binary64 |
| 206× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 3660 |
| 1 | 550 | 3612 |
| 2 | 1807 | 3528 |
| 1× | node limit |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 3 | 174 |
| Fresh | 1 | 9 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 172 | 13 | 185 |
| Status | Error | Program |
| 3.1b | (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 1 t) (pow.f64 (/.f64 x y) 2)) | |
| 2.7b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 1/6))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| 1.2b | (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2)) 3) | |
| 39.1b | (/.f64 z (/.f64 (*.f64 t t) z)) | |
| 1.1b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| ▶ | 0.8b | (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 11.0b | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 x x) y) y)) | |
| 4.7b | (fma.f64 x (*.f64 (/.f64 1 y) (/.f64 x y)) (pow.f64 (/.f64 z t) 2)) | |
| 12.6b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (*.f64 x (pow.f64 y -2)))) | |
| ✓ | 0.8b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 34.4b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (pow.f64 (/.f64 (sqrt.f64 x) y) 2))) | |
| 0.8b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| 4.8b | (fma.f64 z (*.f64 (/.f64 1 t) (/.f64 z t)) (pow.f64 (/.f64 x y) 2)) |
Compiled 7267 to 2579 computations (64.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (hypot.f64 (/.f64 z t) (/.f64 x y)) | |
| ✓ | 0.3b | (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| ✓ | 0.7b | (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) |
| ✓ | 0.8b | (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
3 calls:
| 204.0ms | (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 107.0ms | (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) |
| 53.0ms | (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 1× | batch-egg-rewrite |
| 598× | log-prod_binary64 |
| 214× | expm1-udef_binary64 |
| 214× | log1p-udef_binary64 |
| 204× | log-pow_binary64 |
| 138× | prod-diff_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 1 | 259 | 38 |
| 2 | 3208 | 38 |
| 1× | node limit |
3 calls:
| 63.0ms | (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 63.0ms | (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) |
| 63.0ms | (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 1× | egg-herbie |
| 743× | times-frac_binary64 |
| 412× | associate-/r*_binary64 |
| 371× | associate-/l*_binary64 |
| 311× | associate-*l*_binary64 |
| 308× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 3276 |
| 1 | 351 | 3234 |
| 2 | 1156 | 3036 |
| 1× | node limit |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 3 | 284 |
| Fresh | 5 | 6 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 286 | 11 | 297 |
| Status | Error | Program |
| 1.2b | (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2)) 3) | |
| 39.1b | (/.f64 z (/.f64 (*.f64 t t) z)) | |
| 1.1b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| ✓ | 0.8b | (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| ✓ | 0.8b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 2))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 34.4b | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (pow.f64 (/.f64 (sqrt.f64 x) y) 2))) | |
| 0.4b | (*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3/2)) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| 0.6b | (*.f64 (*.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3/4) (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3/4)) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| 36.4b | (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3/2) (pow.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3/2) 3))) | |
| 4.7b | (fma.f64 x (*.f64 (/.f64 1 y) (/.f64 x y)) (pow.f64 (/.f64 z t) 2)) | |
| 4.8b | (fma.f64 z (*.f64 (/.f64 1 t) (/.f64 z t)) (pow.f64 (/.f64 x y) 2)) |
Compiled 8687 to 3502 computations (59.7% saved)
Total 0.4b remaining (87.1%)
Threshold costs 0.4b (87.1%)
Compiled 33736 to 19606 computations (41.9% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
| 1× | unpow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 13 |
| 1 | 14 | 13 |
| 1× | saturated |
Compiled 296 to 156 computations (47.3% saved)
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