Time bar (total: 5.8s)
| 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 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 6.2% | 93.6% | 0.2% | 8 |
| 25% | 74.9% | 0.2% | 9 |
| 28.1% | 71.7% | 0.2% | 10 |
| 29.6% | 70.2% | 0.2% | 11 |
| 53% | 46.8% | 0.2% | 12 |
| 71.3% | 28.5% | 0.2% | 13 |
| 71.7% | 28.1% | 0.2% | 14 |
Compiled 20 to 12 computations (40% saved)
| 1.1s | 8256× | body | 128 | valid |
| 64.0ms | 475× | body | 128 | invalid |
Compiled 59 to 35 computations (40.7% saved)
| 1× | egg-herbie |
| 1070× | fma-neg_binary64 |
| 881× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 551× | cancel-sign-sub-inv_binary64 |
| 514× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 25 | 20 |
| 2 | 47 | 20 |
| 3 | 78 | 20 |
| 4 | 149 | 20 |
| 5 | 228 | 20 |
| 6 | 324 | 20 |
| 7 | 500 | 20 |
| 8 | 694 | 20 |
| 9 | 867 | 20 |
| 10 | 999 | 20 |
| 11 | 2422 | 20 |
| 12 | 3920 | 20 |
| 13 | 4950 | 20 |
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 |
| ▶ | 22.8b | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
Compiled 69 to 33 computations (52.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (-.f64 (*.f64 b c) (*.f64 a d)) |
| ✓ | 22.3b | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
2 calls:
| 85.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
| 10.0ms | (-.f64 (*.f64 b c) (*.f64 a d)) |
| 1× | rewrite-expression-head |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 4× | add-cbrt-cube_binary64 |
2 calls:
| 5.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
| 3.0ms | (-.f64 (*.f64 b c) (*.f64 a d)) |
| 1× | egg-herbie |
| 491× | fma-neg_binary64 |
| 380× | associate-*l*_binary64 |
| 348× | fma-def_binary64 |
| 315× | associate-*r*_binary64 |
| 247× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 2762 |
| 1 | 323 | 2614 |
| 2 | 1084 | 2567 |
| 3 | 4430 | 2567 |
| 4 | 4952 | 2567 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 9 | 109 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 100 | 10 | 110 |
| Status | Error | Program |
| 44.0b | (/.f64 (sqrt.f64 (-.f64 (*.f64 b c) (*.f64 a d))) (/.f64 (fma.f64 c c (*.f64 d d)) (sqrt.f64 (-.f64 (*.f64 b c) (*.f64 a d))))) | |
| 18.3b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 c b) (*.f64 a d))) (cbrt.f64 (-.f64 (*.f64 c b) (*.f64 a d)))) (hypot.f64 d c)) (/.f64 (cbrt.f64 (-.f64 (*.f64 c b) (*.f64 a d))) (hypot.f64 d c))) | |
| 35.6b | (/.f64 b c) | |
| ✓ | 22.8b | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
| 41.4b | (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 c b) (*.f64 a d))) (hypot.f64 d c)) (/.f64 (sqrt.f64 (-.f64 (*.f64 c b) (*.f64 a d))) (hypot.f64 d c))) | |
| 23.0b | (*.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (/.f64 1 (fma.f64 c c (*.f64 d d)))) | |
| 39.8b | (-.f64 (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 d 3))) (/.f64 a d)) | |
| 36.1b | (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c 3)))) | |
| ▶ | 17.7b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c))) |
| 41.1b | (neg.f64 (/.f64 a d)) |
Compiled 2901 to 641 computations (77.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c))) |
| ✓ | 0.4b | (-.f64 (*.f64 c b) (*.f64 a d)) |
| ✓ | 16.6b | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c)) |
3 calls:
| 105.0ms | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c))) |
| 103.0ms | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c)) |
| 9.0ms | (-.f64 (*.f64 c b) (*.f64 a d)) |
| 1× | rewrite-expression-head |
| 42× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 27× | *-un-lft-identity_binary64 |
| 27× | add-exp-log_binary64 |
| 25× | add-cube-cbrt_binary64 |
3 calls:
| 12.0ms | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c))) |
| 4.0ms | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c)) |
| 3.0ms | (-.f64 (*.f64 c b) (*.f64 a d)) |
| 1× | egg-herbie |
| 741× | times-frac_binary64 |
| 476× | fma-neg_binary64 |
| 402× | fma-def_binary64 |
| 256× | cancel-sign-sub-inv_binary64 |
| 230× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 5451 |
| 1 | 603 | 4941 |
| 2 | 2097 | 4885 |
| 3 | 4752 | 4884 |
| 4 | 5041 | 4884 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 5 | 207 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 206 | 11 | 217 |
| Status | Error | Program |
| 44.0b | (/.f64 (sqrt.f64 (-.f64 (*.f64 b c) (*.f64 a d))) (/.f64 (fma.f64 c c (*.f64 d d)) (sqrt.f64 (-.f64 (*.f64 b c) (*.f64 a d))))) | |
| 35.6b | (/.f64 b c) | |
| 42.6b | (*.f64 (/.f64 1 (hypot.f64 d c)) b) | |
| 36.1b | (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c 3)))) | |
| ▶ | 17.6b | (/.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c)) (hypot.f64 d c)) |
| 44.4b | (*.f64 (/.f64 1 (hypot.f64 d c)) (neg.f64 a)) | |
| 39.8b | (-.f64 (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 d 3))) (/.f64 a d)) | |
| ✓ | 22.8b | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
| 44.6b | (*.f64 (/.f64 1 (hypot.f64 d c)) (neg.f64 b)) | |
| 17.7b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))))) | |
| 41.1b | (neg.f64 (/.f64 a d)) |
Compiled 5746 to 1589 computations (72.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c)) (hypot.f64 d c)) |
| 0.4b | (-.f64 (*.f64 c b) (*.f64 a d)) | |
| 16.6b | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c)) |
1 calls:
| 112.0ms | (/.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c)) (hypot.f64 d c)) |
| 1× | rewrite-expression-head |
| 75× | times-frac_binary64 |
| 43× | *-un-lft-identity_binary64 |
| 43× | add-sqr-sqrt_binary64 |
| 43× | add-cube-cbrt_binary64 |
| 13× | associate-/l*_binary64 |
1 calls:
| 7.0ms | (/.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (hypot.f64 d c)) (hypot.f64 d c)) |
| 1× | egg-herbie |
| 562× | times-frac_binary64 |
| 475× | associate-/l/_binary64 |
| 466× | associate-/l*_binary64 |
| 465× | fma-neg_binary64 |
| 359× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 4368 |
| 1 | 439 | 4066 |
| 2 | 1089 | 3872 |
| 3 | 4050 | 3805 |
| 4 | 5223 | 3805 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 1 | 231 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 232 | 10 | 242 |
| Status | Error | Program |
| 44.0b | (/.f64 (sqrt.f64 (-.f64 (*.f64 b c) (*.f64 a d))) (/.f64 (fma.f64 c c (*.f64 d d)) (sqrt.f64 (-.f64 (*.f64 b c) (*.f64 a d))))) | |
| 35.6b | (/.f64 b c) | |
| 42.6b | (*.f64 (/.f64 1 (hypot.f64 d c)) b) | |
| 36.1b | (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c 3)))) | |
| 44.4b | (*.f64 (/.f64 1 (hypot.f64 d c)) (neg.f64 a)) | |
| 44.7b | (/.f64 (-.f64 (/.f64 (*.f64 a d) c) b) (hypot.f64 d c)) | |
| 39.8b | (-.f64 (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 d 3))) (/.f64 a d)) | |
| ✓ | 22.8b | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
| ▶ | 17.7b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))))) |
| 41.1b | (neg.f64 (/.f64 a d)) |
Compiled 6297 to 1329 computations (78.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d)))) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))))) |
| 0.4b | (-.f64 (*.f64 c b) (*.f64 a d)) | |
| ✓ | 16.6b | (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))) |
3 calls:
| 102.0ms | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))))) |
| 97.0ms | (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d)))) |
| 70.0ms | (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))) |
| 1× | rewrite-expression-head |
| 199× | times-frac_binary64 |
| 146× | add-sqr-sqrt_binary64 |
| 110× | *-un-lft-identity_binary64 |
| 99× | add-cube-cbrt_binary64 |
| 99× | add-exp-log_binary64 |
3 calls:
| 22.0ms | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))))) |
| 6.0ms | (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d)))) |
| 4.0ms | (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))) |
| 1× | egg-herbie |
| 435× | times-frac_binary64 |
| 360× | associate-/l*_binary64 |
| 247× | associate-/r*_binary64 |
| 229× | associate-*l*_binary64 |
| 204× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 12907 |
| 1 | 1028 | 11342 |
| 2 | 4321 | 11244 |
| 3 | 5103 | 11244 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 499 | 2 | 501 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 501 | 10 | 511 |
| Status | Error | Program |
| 44.0b | (/.f64 (sqrt.f64 (-.f64 (*.f64 b c) (*.f64 a d))) (/.f64 (fma.f64 c c (*.f64 d d)) (sqrt.f64 (-.f64 (*.f64 b c) (*.f64 a d))))) | |
| 35.6b | (/.f64 b c) | |
| 42.6b | (*.f64 (/.f64 1 (hypot.f64 d c)) b) | |
| 36.1b | (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c 3)))) | |
| 35.8b | (-.f64 (/.f64 (*.f64 b c) (*.f64 d d)) (/.f64 a d)) | |
| 32.0b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (/.f64 (hypot.f64 d c) (*.f64 b c)))) | |
| 44.4b | (*.f64 (/.f64 1 (hypot.f64 d c)) (neg.f64 a)) | |
| 44.7b | (/.f64 (-.f64 (/.f64 (*.f64 a d) c) b) (hypot.f64 d c)) | |
| 39.8b | (-.f64 (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 d 3))) (/.f64 a d)) | |
| ✓ | 17.7b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (/.f64 (hypot.f64 d c) (-.f64 (*.f64 c b) (*.f64 a d))))) |
Compiled 16297 to 5043 computations (69.1% saved)
Total 11.0b remaining (85.6%)
Threshold costs 0b (0%)
Compiled 14113 to 8014 computations (43.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 2.4375713089234963e+107 | 2.7384656247288844e+109 | 2.389280118127783e+109 |
| 6 | 3.367652190334869e-73 | 2.1798216233430931e-72 | 5.36355955475327e-73 |
| 8 | -1.5652210454846577e-57 | -1.3437678893718062e-60 | -1.3684374183631767e-60 |
| 9 | -9.960446071034172e+169 | -1.5574862025760346e+164 | -2.330818031561063e+164 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 9× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 116 |
| 1 | 51 | 116 |
| 2 | 71 | 116 |
| 3 | 83 | 116 |
| 4 | 90 | 116 |
| 5 | 91 | 116 |
| 6 | 90 | 116 |
Compiled 344 to 168 computations (51.2% saved)
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