Time bar (total: 9.3s)
| 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)
| 1.0s | 8256× | body | 128 | valid |
| 61.0ms | 479× | body | 128 | invalid |
Compiled 59 to 35 computations (40.7% saved)
| 1× | egg-herbie |
| 832× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 756× | fma-neg_binary64 |
| 281× | associate-/l*_binary64 |
| 228× | div-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 25 | 20 |
| 2 | 51 | 20 |
| 3 | 82 | 20 |
| 4 | 166 | 20 |
| 5 | 297 | 20 |
| 6 | 488 | 20 |
| 7 | 738 | 20 |
| 8 | 1199 | 20 |
| 9 | 1800 | 20 |
| 10 | 2769 | 20 |
| 11 | 4928 | 20 |
| 1× | node limit |
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 |
| ▶ | 24.6b | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
Compiled 69 to 35 computations (49.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 c c (*.f64 d d)) |
| ✓ | 0.5b | (fma.f64 d (neg.f64 a) (*.f64 b c)) |
| ✓ | 24.1b | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
3 calls:
| 70.0ms | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 12.0ms | (fma.f64 d (neg.f64 a) (*.f64 b c)) |
| 6.0ms | (fma.f64 c c (*.f64 d d)) |
| 1× | batch-egg-rewrite |
| 527× | log-prod_binary64 |
| 286× | prod-diff_binary64 |
| 190× | expm1-udef_binary64 |
| 190× | log1p-udef_binary64 |
| 175× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 226 | 32 |
| 2 | 2921 | 32 |
| 1× | node limit |
3 calls:
| 47.0ms | (fma.f64 c c (*.f64 d d)) |
| 47.0ms | (fma.f64 d (neg.f64 a) (*.f64 b c)) |
| 47.0ms | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 1× | egg-herbie |
| 608× | fma-def_binary64 |
| 483× | associate-*l/_binary64 |
| 469× | cancel-sign-sub-inv_binary64 |
| 382× | fma-neg_binary64 |
| 359× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 1926 |
| 1 | 133 | 1806 |
| 2 | 386 | 1767 |
| 3 | 1781 | 1722 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 7 | 127 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 120 | 8 | 128 |
| Status | Error | Program |
| 37.1b | (/.f64 b c) | |
| 40.1b | (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 3) | |
| ▶ | 24.7b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 37.9b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c))) | |
| 32.2b | (fma.f64 b (/.f64 (/.f64 c d) d) (/.f64 (neg.f64 a) d)) | |
| ✓ | 24.6b | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 35.8b | (-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (/.f64 (*.f64 b d) c)))) | |
| 34.5b | (fma.f64 (/.f64 (/.f64 a c) c) (neg.f64 d) (/.f64 b c)) |
Compiled 2527 to 888 computations (64.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 d c) |
| ✓ | 0.5b | (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))) |
| ✓ | 0.9b | (-.f64 (*.f64 d a) (*.f64 b c)) |
| ✓ | 24.1b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
4 calls:
| 106.0ms | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 21.0ms | (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))) |
| 10.0ms | (hypot.f64 d c) |
| 8.0ms | (-.f64 (*.f64 d a) (*.f64 b c)) |
| 1× | batch-egg-rewrite |
| 253× | expm1-udef_binary64 |
| 253× | log1p-udef_binary64 |
| 157× | add-sqr-sqrt_binary64 |
| 149× | log1p-expm1-u_binary64 |
| 149× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 47 |
| 1 | 326 | 43 |
| 2 | 4250 | 43 |
| 1× | node limit |
4 calls:
| 57.0ms | (hypot.f64 d c) |
| 57.0ms | (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))) |
| 57.0ms | (-.f64 (*.f64 d a) (*.f64 b c)) |
| 57.0ms | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 1× | egg-herbie |
| 498× | times-frac_binary64 |
| 332× | associate-/l*_binary64 |
| 307× | sub-neg_binary64 |
| 235× | associate-/r*_binary64 |
| 232× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 2816 |
| 1 | 312 | 2714 |
| 2 | 960 | 2653 |
| 3 | 4662 | 2653 |
| 1× | node limit |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 2 | 215 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 213 | 10 | 223 |
| Status | Error | Program |
| 32.2b | (fma.f64 b (/.f64 (/.f64 c d) d) (/.f64 (neg.f64 a) d)) | |
| 37.5b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (*.f64 (/.f64 c d) c) d) 2)))) | |
| 37.1b | (/.f64 b c) | |
| ▶ | 25.2b | (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 3) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 40.1b | (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 3) | |
| ✓ | 24.7b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 37.9b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c))) | |
| ✓ | 24.6b | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 35.8b | (-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (/.f64 (*.f64 b d) c)))) | |
| 34.5b | (fma.f64 (/.f64 (/.f64 a c) c) (neg.f64 d) (/.f64 b c)) |
Compiled 5241 to 2352 computations (55.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 3) |
| 0.9b | (-.f64 (*.f64 d a) (*.f64 b c)) | |
| ✓ | 17.1b | (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) |
| ✓ | 24.1b | (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 3) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
3 calls:
| 3.4s | (pow.f64 (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 3) |
| 116.0ms | (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 3) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 73.0ms | (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) |
| 1× | batch-egg-rewrite |
| 279× | log1p-udef_binary64 |
| 173× | add-sqr-sqrt_binary64 |
| 168× | log1p-expm1-u_binary64 |
| 168× | expm1-log1p-u_binary64 |
| 164× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 43 |
| 1 | 386 | 41 |
| 2 | 4721 | 41 |
| 1× | node limit |
3 calls:
| 92.0ms | (pow.f64 (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 3) |
| 92.0ms | (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) |
| 92.0ms | (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 3) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 1× | egg-herbie |
| 631× | times-frac_binary64 |
| 450× | associate-/l*_binary64 |
| 347× | associate-*l*_binary64 |
| 344× | associate-/r*_binary64 |
| 141× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 6102 |
| 1 | 1307 | 5878 |
| 1× | node limit |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 3 | 331 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 332 | 9 | 341 |
| Status | Error | Program |
| 32.8b | (-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c))) | |
| 35.8b | (-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (/.f64 (*.f64 b d) c)))) | |
| 40.1b | (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 3) | |
| ✓ | 24.7b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 32.2b | (fma.f64 b (/.f64 (/.f64 c d) d) (/.f64 (neg.f64 a) d)) | |
| ✓ | 24.6b | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 37.8b | (/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) c)) | |
| ▶ | 31.1b | (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
| 34.5b | (fma.f64 (/.f64 (/.f64 a c) c) (neg.f64 d) (/.f64 b c)) |
Compiled 11349 to 5964 computations (47.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 1.8b | (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
| ✓ | 2.3b | (*.f64 (/.f64 b d) (/.f64 c d)) |
2 calls:
| 55.0ms | (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
| 46.0ms | (*.f64 (/.f64 b d) (/.f64 c d)) |
| 1× | batch-egg-rewrite |
| 314× | fma-def_binary64 |
| 216× | expm1-udef_binary64 |
| 216× | log1p-udef_binary64 |
| 200× | fma-neg_binary64 |
| 191× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 229 | 23 |
| 2 | 3621 | 23 |
| 1× | node limit |
2 calls:
| 66.0ms | (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
| 66.0ms | (*.f64 (/.f64 b d) (/.f64 c d)) |
| 1× | egg-herbie |
| 789× | times-frac_binary64 |
| 600× | associate-/l/_binary64 |
| 402× | associate-/l*_binary64 |
| 250× | associate-*l*_binary64 |
| 203× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 1032 |
| 1 | 26 | 1032 |
| 2 | 51 | 1032 |
| 3 | 115 | 1032 |
| 4 | 321 | 1032 |
| 5 | 1176 | 1032 |
| 1× | node limit |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 4 | 195 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 195 | 9 | 204 |
| Status | Error | Program |
| ✓ | 24.7b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 32.7b | (fma.f64 c (*.f64 (/.f64 1 d) (/.f64 b d)) (/.f64 (neg.f64 a) d)) | |
| ✓ | 24.6b | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 32.3b | (-.f64 (/.f64 c (*.f64 (/.f64 d b) d)) (/.f64 a d)) | |
| 32.8b | (-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c))) | |
| 35.8b | (-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (/.f64 (*.f64 b d) c)))) | |
| 30.9b | (-.f64 (/.f64 (/.f64 (*.f64 b (/.f64 c d)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d)) (/.f64 a d)) | |
| 32.3b | (-.f64 (/.f64 b (/.f64 d (/.f64 c d))) (/.f64 a d)) | |
| 34.5b | (fma.f64 (/.f64 (/.f64 a c) c) (neg.f64 d) (/.f64 b c)) |
Compiled 3874 to 948 computations (75.5% saved)
Total 12.0b remaining (96.5%)
Threshold costs 0b (0%)
Compiled 9913 to 6424 computations (35.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 5 | 5.90120665875336e+62 | 2.0807438758843815e+63 | 6.489345394500517e+62 |
| 8 | 3.473157126990636e+23 | 2.1007970400142e+28 | 1.948418831344656e+28 |
| 7 | 5.1314403485896385e-111 | 1.7559298781140565e-109 | 1.700724934216277e-110 |
| 11 | -1.2788452108889373e-88 | -6.1878964206463e-110 | -1.7029803518844395e-105 |
| 0 | -1.7014204412768508e+24 | -1.693526029288618e+24 | -1.6974732352827345e+24 |
| 10 | -1.447572801113306e+53 | -2.3291054698633433e+41 | -5.174874392946877e+44 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 35× | neg-sub0_binary64 |
| 34× | neg-mul-1_binary64 |
| 33× | distribute-rgt-neg-in_binary64 |
| 30× | cancel-sign-sub-inv_binary64 |
| 27× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 159 |
| 1 | 81 | 158 |
| 2 | 114 | 158 |
| 3 | 144 | 156 |
| 4 | 185 | 156 |
| 5 | 216 | 156 |
| 6 | 242 | 156 |
| 7 | 281 | 156 |
| 8 | 323 | 156 |
| 9 | 369 | 156 |
| 10 | 391 | 156 |
| 11 | 392 | 156 |
| 1× | saturated |
Compiled 377 to 194 computations (48.5% saved)
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