Time bar (total: 12.0s)
| 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 |
| 37.4% | 62.4% | 0.2% | 7 |
| 37.4% | 62.4% | 0.2% | 8 |
| 56.1% | 43.7% | 0.2% | 9 |
| 56.1% | 43.7% | 0.2% | 10 |
| 65.5% | 34.3% | 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 20 to 12 computations (40% saved)
| 1.6s | 8256× | body | 128 | valid |
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 | 55 | 20 |
| 4 | 55 | 20 |
| 5 | 55 | 20 |
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 |
| ▶ | 14.8b | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 19.7b | (+.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 |
| ✓ | 1.6b | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 7.0b | (/.f64 x (*.f64 y y)) |
| ✓ | 13.0b | (/.f64 (*.f64 z z) (*.f64 t t)) |
3 calls:
| 180.0ms | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 101.0ms | (/.f64 x (*.f64 y y)) |
| 43.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 1× | rewrite-expression-head |
| 20× | add-cbrt-cube_binary64 |
| 20× | add-exp-log_binary64 |
| 6× | cbrt-undiv_binary64 |
| 6× | div-exp_binary64 |
| 5× | *-un-lft-identity_binary64 |
3 calls:
| 6.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 3.0ms | (/.f64 x (*.f64 y y)) |
| 0.0ms | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 1× | egg-herbie |
| 652× | times-frac_binary64 |
| 469× | unswap-sqr_binary64 |
| 438× | associate-/l*_binary64 |
| 258× | associate-*l/_binary64 |
| 229× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 2182 |
| 1 | 224 | 1962 |
| 2 | 656 | 1913 |
| 3 | 2597 | 1888 |
| 4 | 4392 | 1885 |
| 5 | 4944 | 1885 |
| 6 | 4965 | 1885 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 6 | 75 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 71 | 6 | 77 |
| Status | Error | Program |
| 7.3b | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z t)) t)) | |
| 12.6b | (fma.f64 x (/.f64 x (*.f64 y y)) (cbrt.f64 (pow.f64 (/.f64 z t) 6))) | |
| 10.6b | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| ▶ | 0.2b | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 10.9b | (fma.f64 x (*.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 11.0b | (fma.f64 x (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 1654 to 401 computations (75.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 (/.f64 z t) (/.f64 x y)) |
| ✓ | 0.2b | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
2 calls:
| 542.0ms | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 115.0ms | (hypot.f64 (/.f64 z t) (/.f64 x y)) |
| 1× | rewrite-expression-head |
| 9× | pow1_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-cube-cbrt_binary64 |
| 5× | hypot-udef_binary64 |
2 calls:
| 6.0ms | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 1.0ms | (hypot.f64 (/.f64 z t) (/.f64 x y)) |
| 1× | egg-herbie |
| 928× | associate-/l*_binary64 |
| 772× | associate-/r*_binary64 |
| 212× | fma-def_binary64 |
| 151× | unswap-sqr_binary64 |
| 148× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 3714 |
| 1 | 342 | 3389 |
| 2 | 1314 | 3211 |
| 3 | 5268 | 3211 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 4 | 129 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 126 | 9 | 135 |
| Status | Error | Program |
| 7.3b | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z t)) t)) | |
| ▶ | 0.3b | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 0.5b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| 10.6b | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| 15.1b | (cbrt.f64 (*.f64 (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))))) | |
| ✓ | 0.2b | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 0.4b | (pow.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4) 1) | |
| 10.9b | (fma.f64 x (*.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 11.0b | (fma.f64 x (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 4106 to 1417 computations (65.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (hypot.f64 (/.f64 z t) (/.f64 x y)) | |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| ✓ | 13.3b | (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
3 calls:
| 533.0ms | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 494.0ms | (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 296.0ms | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 1× | rewrite-expression-head |
| 28× | pow1_binary64 |
| 16× | add-sqr-sqrt_binary64 |
| 15× | pow-prod-up_binary64 |
| 12× | associate-*l*_binary64 |
| 11× | sqrt-pow1_binary64 |
3 calls:
| 15.0ms | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 13.0ms | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 2.0ms | (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 1× | egg-herbie |
| 777× | fma-def_binary64 |
| 751× | times-frac_binary64 |
| 417× | associate-/r*_binary64 |
| 388× | associate-/l*_binary64 |
| 288× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 5187 |
| 1 | 476 | 4629 |
| 2 | 1384 | 4233 |
| 3 | 4848 | 4233 |
| 4 | 5322 | 4233 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 286 | 3 | 289 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 290 | 8 | 298 |
| Status | Error | Program |
| 7.3b | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z t)) t)) | |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 0.4b | (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4) | |
| 0.5b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| 0.4b | (*.f64 (*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| ▶ | 0.3b | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))))) |
| ✓ | 0.2b | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 11.0b | (fma.f64 x (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 11396 to 3357 computations (70.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))) | |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))) |
| 13.3b | (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) | |
| ✓ | 22.4b | (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
2 calls:
| 474.0ms | (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 163.0ms | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))) |
| 1× | rewrite-expression-head |
| 139× | sqrt-pow1_binary64 |
| 122× | pow1_binary64 |
| 61× | pow-prod-up_binary64 |
| 45× | pow1/2_binary64 |
| 35× | pow-plus_binary64 |
2 calls:
| 14.0ms | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))) |
| 3.0ms | (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 1× | egg-herbie |
| 705× | fma-def_binary64 |
| 338× | times-frac_binary64 |
| 323× | unswap-sqr_binary64 |
| 286× | associate-*r*_binary64 |
| 233× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 6853 |
| 1 | 986 | 5742 |
| 2 | 3520 | 5382 |
| 3 | 5089 | 5382 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 451 | 0 | 451 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 451 | 8 | 459 |
| Status | Error | Program |
| 7.3b | (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z t)) t)) | |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) |
| 0.4b | (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4) | |
| 0.5b | (*.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| 0.4b | (*.f64 (*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) | |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))))) |
| ✓ | 0.2b | (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) |
| 11.0b | (fma.f64 x (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 26815 to 8194 computations (69.4% saved)
Total 0.2b remaining (81.3%)
Threshold costs 0.2b (81.3%)
Compiled 49722 to 22558 computations (54.6% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 13 |
| 1 | 17 | 13 |
| 2 | 14 | 13 |
Compiled 257 to 106 computations (58.8% saved)
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