Time bar (total: 11.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 49.9% | 50.1% | 0 |
| 0% | 49.9% | 50.1% | 1 |
| 0% | 49.9% | 50.1% | 2 |
| 0% | 49.9% | 50.1% | 3 |
| 0% | 49.9% | 50.1% | 4 |
| 0% | 49.9% | 50.1% | 5 |
| 0% | 49.9% | 50.1% | 6 |
| 0% | 49.9% | 50.1% | 7 |
| 0% | 49.9% | 50.1% | 8 |
| 0.4% | 49.5% | 50.1% | 9 |
| 0.4% | 49.3% | 50.3% | 10 |
| 0.6% | 48.9% | 50.5% | 11 |
| 1.1% | 48.1% | 50.9% | 12 |
| 1.5% | 47.3% | 51.2% | 13 |
| 1.7% | 46.9% | 51.5% | 14 |
Compiled 34 to 24 computations (29.4% saved)
| 1× | intervals |
(sort a b)
| 112.0ms | 137× | body | 2048 | valid |
| 35.0ms | 77× | body | 1024 | valid |
| 20.0ms | 16× | body | 2048 | overflowed |
| 7.0ms | 310× | pre | 128 | true |
| 5.0ms | 16× | body | 1024 | overflowed |
| 5.0ms | 20× | body | 512 | valid |
| 3.0ms | 12× | body | 512 | overflowed |
| 2.0ms | 18× | body | 128 | valid |
| 1.0ms | 4× | body | 256 | valid |
| 1.0ms | 7× | body | 128 | overflowed |
| 1.0ms | 3× | body | 256 | overflowed |
Compiled 64 to 46 computations (28.1% saved)
| 1× | egg-herbie |
| 986× | times-frac_binary64 |
| 580× | associate-/l*_binary64 |
| 372× | fma-def_binary64 |
| 126× | distribute-rgt-in_binary64 |
| 122× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 28 |
| 1 | 47 | 28 |
| 2 | 108 | 28 |
| 3 | 254 | 28 |
| 4 | 897 | 28 |
| 5 | 5292 | 28 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 44.4b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 87 to 54 computations (37.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) |
| ✓ | 0.1b | (expm1.f64 (*.f64 eps (+.f64 a b))) |
| ✓ | 0.1b | (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) |
| ✓ | 42.6b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
4 calls:
| 280.0ms | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
| 29.0ms | (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) |
| 28.0ms | (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) |
| 16.0ms | (expm1.f64 (*.f64 eps (+.f64 a b))) |
| 1× | rewrite-expression-head |
| 20× | add-cbrt-cube_binary64 |
| 20× | add-exp-log_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 8× | *-un-lft-identity_binary64 |
| 8× | add-cube-cbrt_binary64 |
4 calls:
| 4.0ms | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
| 3.0ms | (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) |
| 3.0ms | (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) |
| 0.0ms | (expm1.f64 (*.f64 eps (+.f64 a b))) |
| 1× | egg-herbie |
| 828× | fma-def_binary64 |
| 622× | times-frac_binary64 |
| 470× | associate-/l*_binary64 |
| 249× | *-commutative_binary64 |
| 191× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 646 | 8872 |
| 1 | 2166 | 8105 |
| 2 | 5325 | 8105 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 225 | 4 | 229 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 225 | 5 | 230 |
| Status | Error | Program |
| 44.4b | (/.f64 1 (/.f64 (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))))) | |
| 50.4b | (cbrt.f64 (pow.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) 3)) | |
| ▶ | 6.7b | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)))) |
| 15.4b | (/.f64 (+.f64 a b) (*.f64 a b)) | |
| ✓ | 44.4b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 11477 to 3874 computations (66.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))) |
| ✓ | 0.0b | (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)) |
| ✓ | 5.3b | (*.f64 b (*.f64 eps eps)) |
| ✓ | 5.3b | (*.f64 a (*.f64 eps eps)) |
4 calls:
| 22.0ms | (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))) |
| 21.0ms | (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)) |
| 8.0ms | (*.f64 a (*.f64 eps eps)) |
| 8.0ms | (*.f64 b (*.f64 eps eps)) |
| 1× | rewrite-expression-head |
| 16× | *-un-lft-identity_binary64 |
| 15× | add-sqr-sqrt_binary64 |
| 14× | add-cbrt-cube_binary64 |
| 14× | add-exp-log_binary64 |
| 14× | pow1_binary64 |
4 calls:
| 7.0ms | (*.f64 b (*.f64 eps eps)) |
| 5.0ms | (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))) |
| 5.0ms | (*.f64 a (*.f64 eps eps)) |
| 0.0ms | (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)) |
| 1× | egg-herbie |
| 562× | associate-+l+_binary64 |
| 523× | associate-*l*_binary64 |
| 384× | associate-*r*_binary64 |
| 262× | cancel-sign-sub-inv_binary64 |
| 220× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 2505 |
| 1 | 236 | 2362 |
| 2 | 656 | 2362 |
| 3 | 2257 | 2360 |
| 4 | 4524 | 2360 |
| 5 | 5001 | 2360 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 1 | 131 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 132 | 4 | 136 |
| Status | Error | Program |
| 44.4b | (/.f64 1 (/.f64 (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))))) | |
| ▶ | 4.7b | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (/.f64 1 a))) |
| 15.4b | (/.f64 (+.f64 a b) (*.f64 a b)) | |
| ✓ | 44.4b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 3640 to 1724 computations (52.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
| ✓ | 0.0b | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (/.f64 1 a))) |
| 5.3b | (*.f64 a (*.f64 eps eps)) |
2 calls:
| 26.0ms | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (/.f64 1 a))) |
| 6.0ms | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
| 1× | rewrite-expression-head |
| 21× | *-un-lft-identity_binary64 |
| 15× | times-frac_binary64 |
| 13× | fma-def_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 11× | add-cube-cbrt_binary64 |
2 calls:
| 11.0ms | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
| 0.0ms | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (/.f64 1 a))) |
| 1× | egg-herbie |
| 729× | fma-def_binary64 |
| 726× | distribute-rgt-in_binary64 |
| 691× | distribute-lft-in_binary64 |
| 423× | associate-/l*_binary64 |
| 382× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 1210 |
| 1 | 143 | 1139 |
| 2 | 356 | 1138 |
| 3 | 1037 | 1138 |
| 4 | 3523 | 1138 |
| 5 | 4917 | 1138 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 0 | 103 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 103 | 4 | 107 |
| Status | Error | Program |
| 44.4b | (/.f64 1 (/.f64 (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))))) | |
| ✓ | 4.7b | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (/.f64 1 a))) |
| ▶ | 15.4b | (/.f64 (+.f64 a b) (*.f64 a b)) |
| ✓ | 44.4b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 2096 to 1192 computations (43.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 15.0b | (/.f64 (+.f64 a b) (*.f64 a b)) |
1 calls:
| 7.0ms | (/.f64 (+.f64 a b) (*.f64 a b)) |
| 1× | rewrite-expression-head |
| 7× | *-un-lft-identity_binary64 |
| 6× | add-cbrt-cube_binary64 |
| 6× | add-exp-log_binary64 |
| 4× | associate-/l*_binary64 |
| 4× | times-frac_binary64 |
1 calls:
| 5.0ms | (/.f64 (+.f64 a b) (*.f64 a b)) |
| 1× | egg-herbie |
| 581× | associate-/r*_binary64 |
| 450× | sub-neg_binary64 |
| 441× | associate-/r/_binary64 |
| 370× | fma-def_binary64 |
| 349× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 613 |
| 1 | 152 | 550 |
| 2 | 469 | 550 |
| 3 | 1544 | 550 |
| 4 | 3494 | 550 |
| 5 | 3895 | 550 |
| 6 | 4902 | 550 |
| 7 | 5491 | 550 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 1 | 33 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 32 | 5 | 37 |
| Status | Error | Program |
| 44.4b | (/.f64 1 (/.f64 (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))))) | |
| ✓ | 4.7b | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (/.f64 1 a))) |
| 9.0b | (/.f64 1 (/.f64 a (/.f64 (+.f64 a b) b))) | |
| ✓ | 15.4b | (/.f64 (+.f64 a b) (*.f64 a b)) |
| ✓ | 44.4b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 509 to 177 computations (65.2% saved)
Total 0.2b remaining (90.9%)
Threshold costs 0.2b (90.9%)
Compiled 5710 to 3040 computations (46.8% saved)
Compiled 27 to 19 computations (29.6% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 142 |
| 1 | 53 | 142 |
| 2 | 56 | 142 |
| 3 | 54 | 142 |
Compiled 288 to 162 computations (43.8% saved)
| 1× | intervals |
| 3.8s | 4100× | body | 2048 | valid |
| 1.2s | 2360× | body | 1024 | valid |
| 264.0ms | 603× | body | 1024 | overflowed |
| 255.0ms | 9700× | pre | 128 | true |
| 245.0ms | 388× | body | 2048 | overflowed |
| 234.0ms | 750× | body | 512 | valid |
| 73.0ms | 282× | body | 512 | overflowed |
| 72.0ms | 243× | body | 256 | valid |
| 62.0ms | 146× | body | 256 | overflowed |
| 54.0ms | 541× | body | 128 | valid |
| 24.0ms | 280× | body | 128 | overflowed |
| 10.0ms | 6× | body | 4096 | valid |
| 1.0ms | 1× | body | 2048 | invalid |
Compiled 216 to 135 computations (37.5% saved)
Loading profile data...