Time bar (total: 3.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 100% | 0% | 0% | 1 |
Compiled 9 to 7 computations (22.2% saved)
| 1× | intervals |
| 15.0ms | 63× | body | 2048 | valid |
| 6.0ms | 142× | body | 128 | valid |
| 5.0ms | 33× | body | 1024 | valid |
| 1.0ms | 11× | body | 512 | valid |
| 1.0ms | 7× | body | 256 | valid |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 14× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 16 | 11 |
| 3 | 23 | 11 |
| 4 | 30 | 11 |
| 5 | 47 | 11 |
| 6 | 72 | 11 |
| 7 | 92 | 11 |
| 8 | 109 | 11 |
| 9 | 119 | 11 |
| 10 | 123 | 11 |
| 11 | 125 | 11 |
| 12 | 111 | 11 |
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 |
| ▶ | 13.6b | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
Compiled 24 to 18 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (atan.f64 (+.f64 N 1)) |
| ✓ | 0.7b | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
2 calls:
| 2.0ms | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| 1.0ms | (atan.f64 (+.f64 N 1)) |
| 1× | rewrite-expression-head |
| 12× | *-un-lft-identity_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | prod-diff_binary64 |
| 4× | add-log-exp_binary64 |
2 calls:
| 5.0ms | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| 1.0ms | (atan.f64 (+.f64 N 1)) |
| 1× | egg-herbie |
| 719× | fma-def_binary64 |
| 392× | unsub-neg_binary64 |
| 319× | distribute-rgt-in_binary64 |
| 308× | unswap-sqr_binary64 |
| 275× | times-frac_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 836 |
| 1 | 128 | 555 |
| 2 | 354 | 501 |
| 3 | 1262 | 498 |
| 4 | 2924 | 498 |
| 5 | 4651 | 491 |
| 6 | 4824 | 491 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 2 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 47 | 2 | 49 |
| Status | Error | Program |
| 13.6b | (+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))) | |
| ▶ | 0.6b | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
Compiled 926 to 513 computations (44.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
1 calls:
| 2.0ms | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
| 1× | rewrite-expression-head |
| 1× | *-un-lft-identity_binary64 |
| 1× | add-sqr-sqrt_binary64 |
| 1× | add-cube-cbrt_binary64 |
| 1× | add-cbrt-cube_binary64 |
| 1× | add-exp-log_binary64 |
1 calls:
| 0.0ms | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
| 1× | egg-herbie |
| 1333× | sqr-pow_binary64 |
| 715× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 481× | fabs-mul_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 156 |
| 1 | 21 | 133 |
| 2 | 29 | 133 |
| 3 | 41 | 133 |
| 4 | 54 | 133 |
| 5 | 61 | 133 |
| 6 | 93 | 133 |
| 7 | 157 | 133 |
| 8 | 335 | 133 |
| 9 | 641 | 133 |
| 10 | 645 | 133 |
| 11 | 775 | 133 |
| 12 | 929 | 133 |
| 13 | 1097 | 133 |
| 14 | 1326 | 133 |
| 15 | 1627 | 133 |
| 16 | 1975 | 133 |
| 17 | 2450 | 133 |
| 18 | 3068 | 133 |
| 19 | 3264 | 133 |
| 20 | 3438 | 133 |
| 21 | 3552 | 133 |
| 22 | 3599 | 133 |
| 23 | 3651 | 133 |
| 24 | 4529 | 133 |
| 25 | 4833 | 133 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 8 | 2 | 10 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 9 | 3 | 12 |
| Status | Error | Program |
| ✓ | 0.6b | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
| ▶ | 1.2b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 2.0b | (*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
Compiled 256 to 158 computations (38.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 0.6b | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) | |
| ✓ | 13.6b | (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
2 calls:
| 4.0ms | (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
| 2.0ms | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 1× | rewrite-expression-head |
| 28× | add-sqr-sqrt_binary64 |
| 21× | sqrt-prod_binary64 |
| 18× | pow1_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
2 calls:
| 5.0ms | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 1.0ms | (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
| 1× | egg-herbie |
| 498× | log-prod_binary64 |
| 465× | *-commutative_binary64 |
| 441× | unswap-sqr_binary64 |
| 425× | log-div_binary64 |
| 306× | sqr-pow_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 1385 |
| 1 | 75 | 1281 |
| 2 | 181 | 1233 |
| 3 | 389 | 1149 |
| 4 | 720 | 1054 |
| 5 | 1324 | 1054 |
| 6 | 2519 | 1040 |
| 7 | 4285 | 1040 |
| 8 | 4994 | 1040 |
| 9 | 4835 | 1040 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 6 | 111 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 106 | 8 | 114 |
| Status | Error | Program |
| ▶ | 1.3b | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) |
| ✓ | 1.2b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 1.3b | (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) | |
| 1.8b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) | |
| 2.2b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) | |
| 6.6b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) | |
| ✓ | 0.6b | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
| 2.1b | (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 5/2) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) |
Compiled 3216 to 2011 computations (37.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 0.6b | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) | |
| 13.6b | (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
2 calls:
| 534.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 2.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) |
| 1× | rewrite-expression-head |
| 51× | sqrt-pow1_binary64 |
| 48× | pow1_binary64 |
| 42× | add-sqr-sqrt_binary64 |
| 37× | sqrt-prod_binary64 |
| 36× | pow-prod-up_binary64 |
2 calls:
| 12.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) |
| 7.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 1× | egg-herbie |
| 429× | unswap-sqr_binary64 |
| 359× | log-div_binary64 |
| 358× | cube-div_binary64 |
| 273× | associate-*r/_binary64 |
| 260× | log-prod_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 2735 |
| 1 | 137 | 2079 |
| 2 | 289 | 1866 |
| 3 | 393 | 1866 |
| 4 | 720 | 1832 |
| 5 | 1102 | 1828 |
| 6 | 2665 | 1828 |
| 7 | 3886 | 1705 |
| 8 | 4933 | 1705 |
| 9 | 4882 | 1705 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 4 | 196 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 196 | 8 | 204 |
| Status | Error | Program |
| ✓ | 0.6b | (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
| 0.9b | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) | |
| 1.8b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) | |
| 6.6b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) | |
| 0.8b | (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)) | |
| 0.8b | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 7/2)) | |
| ✓ | 1.2b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
| 0.8b | (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4) |
Compiled 7098 to 4555 computations (35.8% saved)
Total 0.0b remaining (13.1%)
Threshold costs 0.0b (13.1%)
Compiled 3070 to 2068 computations (32.6% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 9 | 11 |
| 2 | 8 | 11 |
Compiled 9 to 6 computations (33.3% saved)
| 1× | intervals |
| 440.0ms | 2117× | body | 2048 | valid |
| 208.0ms | 1042× | body | 1024 | valid |
| 190.0ms | 4103× | body | 128 | valid |
| 64.0ms | 522× | body | 512 | valid |
| 18.0ms | 216× | body | 256 | valid |
Compiled 259 to 174 computations (32.8% saved)
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