Time bar (total: 9.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.7% | 0.3% | 0 |
| 0% | 99.7% | 0.3% | 1 |
| 0% | 99.7% | 0.3% | 2 |
| 0% | 99.7% | 0.3% | 3 |
| 0% | 99.7% | 0.3% | 4 |
| 0% | 99.7% | 0.3% | 5 |
| 0% | 99.7% | 0.3% | 6 |
| 0% | 99.7% | 0.3% | 7 |
| 0% | 99.7% | 0.3% | 8 |
| 0% | 99.7% | 0.3% | 9 |
| 0% | 99.7% | 0.3% | 10 |
| 0% | 99.7% | 0.3% | 11 |
| 0% | 99.7% | 0.3% | 12 |
| 1.6% | 98.1% | 0.3% | 13 |
| 2.3% | 97.4% | 0.3% | 14 |
Compiled 24 to 18 computations (25% saved)
| 1× | intervals |
| 20.0ms | 256× | body | 128 | valid |
| 7.0ms | 89× | body | 128 | invalid |
Compiled 53 to 41 computations (22.6% saved)
| 1× | egg-herbie |
| 213× | cancel-sign-sub-inv_binary64 |
| 172× | distribute-rgt-neg-in_binary64 |
| 162× | unsub-neg_binary64 |
| 99× | distribute-rgt-in_binary64 |
| 94× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 25 |
| 1 | 38 | 25 |
| 2 | 105 | 25 |
| 3 | 269 | 25 |
| 4 | 409 | 25 |
| 5 | 629 | 25 |
| 6 | 741 | 25 |
| 7 | 924 | 25 |
| 8 | 904 | 25 |
| 9 | 905 | 25 |
| 10 | 905 | 25 |
| 11 | 905 | 25 |
| 12 | 788 | 25 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Error | Program |
| ▶ | 2.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
Compiled 46 to 34 computations (26.1% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
| 0.2b | (*.f64 (*.f64 y 9) z) |
| 0.2b | (*.f64 (*.f64 a 27) b) |
| 6.4b | (*.f64 (*.f64 (*.f64 y 9) z) t) |
| 1× | rewrite-expression-head |
| 23× | add-cbrt-cube_binary64 |
| 23× | add-exp-log_binary64 |
| 23× | pow1_binary64 |
| 12× | cbrt-unprod_binary64 |
| 12× | prod-exp_binary64 |
4 calls:
| 5.0ms | (*.f64 (*.f64 (*.f64 y 9) z) t) |
| 5.0ms | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
| 4.0ms | (*.f64 (*.f64 y 9) z) |
| 3.0ms | (*.f64 (*.f64 a 27) b) |
Compiled 1628 to 1070 computations (34.3% saved)
4 calls:
| 78.0ms | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
| 21.0ms | (*.f64 (*.f64 (*.f64 y 9) z) t) |
| 10.0ms | (*.f64 (*.f64 y 9) z) |
| 10.0ms | (*.f64 (*.f64 a 27) b) |
Compiled 2154 to 1582 computations (26.6% saved)
| 1× | egg-herbie |
| 356× | associate-*l*_binary64 |
| 315× | exp-prod_binary64 |
| 261× | log-prod_binary64 |
| 254× | associate-*r*_binary64 |
| 226× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 2034 |
| 1 | 389 | 1875 |
| 2 | 1613 | 1863 |
| 3 | 3335 | 1863 |
| 4 | 4783 | 1863 |
| 5 | 4943 | 1863 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 80 | 9 | 89 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 81 | 9 | 90 |
| Status | Error | Program |
| 35.0b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 (*.f64 9 y) (sqrt.f64 z)) (sqrt.f64 z)) t)) (*.f64 (*.f64 a 27) b)) | |
| ▶ | 1.6b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 9 (*.f64 y (*.f64 t z)))) (+.f64 x x)) |
| 15.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (cbrt.f64 (*.f64 729 (pow.f64 (*.f64 y z) 3))) t)) (*.f64 (*.f64 a 27) b)) | |
| 2.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (pow.f64 (*.f64 9 (*.f64 y z)) 1) t)) (*.f64 (*.f64 a 27) b)) | |
| 20.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (*.f64 27 a) (sqrt.f64 b)) (sqrt.f64 b))) | |
| 2.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (*.f64 27 a) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b))) | |
| 2.8b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 9 (*.f64 y z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))) (*.f64 (*.f64 a 27) b)) | |
| 1.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z))) (*.f64 (*.f64 a 27) b)) | |
| 34.9b | (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9)) (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9))) (*.f64 a (*.f64 (*.f64 729 a) (*.f64 b b)))) (-.f64 (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9)) (*.f64 27 (*.f64 a b)))) |
Compiled 1497 to 874 computations (41.6% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 9 (*.f64 y (*.f64 t z)))) (+.f64 x x)) |
| 0.2b | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 0.3b | (*.f64 27 (*.f64 a b)) |
| 7.9b | (*.f64 y (*.f64 t z)) |
| 1× | rewrite-expression-head |
| 23× | add-cbrt-cube_binary64 |
| 23× | add-exp-log_binary64 |
| 23× | pow1_binary64 |
| 16× | add-log-exp_binary64 |
| 12× | *-un-lft-identity_binary64 |
4 calls:
| 10.0ms | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 9 (*.f64 y (*.f64 t z)))) (+.f64 x x)) |
| 5.0ms | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 4.0ms | (*.f64 y (*.f64 t z)) |
| 3.0ms | (*.f64 27 (*.f64 a b)) |
Compiled 2039 to 841 computations (58.8% saved)
4 calls:
| 79.0ms | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 9 (*.f64 y (*.f64 t z)))) (+.f64 x x)) |
| 22.0ms | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 19.0ms | (*.f64 y (*.f64 t z)) |
| 10.0ms | (*.f64 27 (*.f64 a b)) |
Compiled 2258 to 1613 computations (28.6% saved)
| 1× | egg-herbie |
| 461× | distribute-rgt-in_binary64 |
| 426× | distribute-lft-in_binary64 |
| 262× | cancel-sign-sub-inv_binary64 |
| 243× | associate-*r*_binary64 |
| 214× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 2670 |
| 1 | 452 | 2241 |
| 2 | 1596 | 2208 |
| 3 | 4675 | 2208 |
| 4 | 5025 | 2208 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 3 | 94 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 95 | 8 | 103 |
| Status | Error | Program |
| 35.0b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 (*.f64 9 y) (sqrt.f64 z)) (sqrt.f64 z)) t)) (*.f64 (*.f64 a 27) b)) | |
| 15.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (cbrt.f64 (*.f64 729 (pow.f64 (*.f64 y z) 3))) t)) (*.f64 (*.f64 a 27) b)) | |
| 2.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (pow.f64 (*.f64 9 (*.f64 y z)) 1) t)) (*.f64 (*.f64 a 27) b)) | |
| 20.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (*.f64 27 a) (sqrt.f64 b)) (sqrt.f64 b))) | |
| ▶ | 1.6b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (*.f64 y 9) (*.f64 t z))) (+.f64 x x)) |
| 1.6b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) (+.f64 x x)) | |
| 1.7b | (+.f64 (-.f64 (*.f64 (sqrt.f64 27) (*.f64 (*.f64 a b) (sqrt.f64 27))) (*.f64 9 (*.f64 y (*.f64 t z)))) (+.f64 x x)) | |
| 34.9b | (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9)) (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9))) (*.f64 a (*.f64 (*.f64 729 a) (*.f64 b b)))) (-.f64 (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9)) (*.f64 27 (*.f64 a b)))) |
Compiled 1410 to 730 computations (48.2% saved)
Found 3 expressions with local error:
| 0.0b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (*.f64 y 9) (*.f64 t z))) (+.f64 x x)) |
| 0.3b | (*.f64 27 (*.f64 a b)) |
| 7.9b | (*.f64 (*.f64 y 9) (*.f64 t z)) |
| 1× | rewrite-expression-head |
| 20× | add-cbrt-cube_binary64 |
| 20× | add-exp-log_binary64 |
| 20× | pow1_binary64 |
| 15× | add-log-exp_binary64 |
| 11× | cbrt-unprod_binary64 |
3 calls:
| 9.0ms | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (*.f64 y 9) (*.f64 t z))) (+.f64 x x)) |
| 5.0ms | (*.f64 (*.f64 y 9) (*.f64 t z)) |
| 3.0ms | (*.f64 27 (*.f64 a b)) |
Compiled 1723 to 810 computations (53% saved)
3 calls:
| 78.0ms | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (*.f64 y 9) (*.f64 t z))) (+.f64 x x)) |
| 20.0ms | (*.f64 (*.f64 y 9) (*.f64 t z)) |
| 16.0ms | (*.f64 27 (*.f64 a b)) |
Compiled 1861 to 1332 computations (28.4% saved)
| 1× | egg-herbie |
| 470× | distribute-rgt-in_binary64 |
| 435× | distribute-lft-in_binary64 |
| 315× | cancel-sign-sub-inv_binary64 |
| 251× | distribute-rgt-neg-in_binary64 |
| 249× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 2419 |
| 1 | 453 | 2041 |
| 2 | 1632 | 2008 |
| 3 | 4633 | 2008 |
| 4 | 4992 | 2008 |
| 5 | 4996 | 2008 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 1 | 78 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 78 | 8 | 86 |
| Status | Error | Program |
| 34.9b | (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9)) (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9))) (*.f64 a (*.f64 (*.f64 729 a) (*.f64 b b)))) (-.f64 (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9)) (*.f64 27 (*.f64 a b)))) | |
| 3.4b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (*.f64 t (*.f64 9 y)) z)) (+.f64 x x)) | |
| 15.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (cbrt.f64 (*.f64 729 (pow.f64 (*.f64 y z) 3))) t)) (*.f64 (*.f64 a 27) b)) | |
| 2.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (pow.f64 (*.f64 9 (*.f64 y z)) 1) t)) (*.f64 (*.f64 a 27) b)) | |
| 20.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (*.f64 27 a) (sqrt.f64 b)) (sqrt.f64 b))) | |
| ✓ | 1.6b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (*.f64 y 9) (*.f64 t z))) (+.f64 x x)) |
| ▶ | 1.6b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) (+.f64 x x)) |
| 1.7b | (+.f64 (-.f64 (*.f64 (sqrt.f64 27) (*.f64 (*.f64 a b) (sqrt.f64 27))) (*.f64 9 (*.f64 y (*.f64 t z)))) (+.f64 x x)) |
Compiled 1219 to 645 computations (47.1% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3)) |
| 0.3b | (*.f64 27 (*.f64 a b)) |
| 0.3b | (*.f64 (*.f64 y (*.f64 t z)) 3) |
| 7.9b | (*.f64 y (*.f64 t z)) |
| 1× | rewrite-expression-head |
| 37× | add-cbrt-cube_binary64 |
| 37× | add-exp-log_binary64 |
| 37× | pow1_binary64 |
| 22× | cbrt-unprod_binary64 |
| 22× | prod-exp_binary64 |
4 calls:
| 10.0ms | (*.f64 (*.f64 y (*.f64 t z)) 3) |
| 8.0ms | (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3)) |
| 4.0ms | (*.f64 y (*.f64 t z)) |
| 3.0ms | (*.f64 27 (*.f64 a b)) |
Compiled 1896 to 936 computations (50.6% saved)
4 calls:
| 24.0ms | (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3)) |
| 20.0ms | (*.f64 y (*.f64 t z)) |
| 20.0ms | (*.f64 (*.f64 y (*.f64 t z)) 3) |
| 15.0ms | (*.f64 27 (*.f64 a b)) |
Compiled 1725 to 1234 computations (28.5% saved)
| 1× | egg-herbie |
| 575× | *-commutative_binary64 |
| 328× | cube-prod_binary64 |
| 307× | pow-sqr_binary64 |
| 296× | sqr-pow_binary64 |
| 271× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 1481 |
| 1 | 280 | 1175 |
| 2 | 1036 | 1175 |
| 3 | 1777 | 1175 |
| 4 | 2700 | 1175 |
| 5 | 3837 | 1175 |
| 6 | 4617 | 1175 |
| 7 | 5122 | 1175 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 0 | 65 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 65 | 8 | 73 |
| Status | Error | Program |
| 34.9b | (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9)) (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9))) (*.f64 a (*.f64 (*.f64 729 a) (*.f64 b b)))) (-.f64 (+.f64 (+.f64 x x) (*.f64 (*.f64 y (*.f64 t z)) -9)) (*.f64 27 (*.f64 a b)))) | |
| 3.4b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (*.f64 t (*.f64 9 y)) z)) (+.f64 x x)) | |
| 15.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (cbrt.f64 (*.f64 729 (pow.f64 (*.f64 y z) 3))) t)) (*.f64 (*.f64 a 27) b)) | |
| 2.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (pow.f64 (*.f64 9 (*.f64 y z)) 1) t)) (*.f64 (*.f64 a 27) b)) | |
| 20.1b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (*.f64 27 a) (sqrt.f64 b)) (sqrt.f64 b))) | |
| 1.6b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (*.f64 y 9) (*.f64 t z))) (+.f64 x x)) | |
| 1.6b | (+.f64 (-.f64 (*.f64 27 (*.f64 a b)) (*.f64 (sqrt.f64 9) (*.f64 (*.f64 y (*.f64 t z)) 3))) (+.f64 x x)) | |
| 1.7b | (+.f64 (-.f64 (*.f64 (sqrt.f64 27) (*.f64 (*.f64 a b) (sqrt.f64 27))) (*.f64 9 (*.f64 y (*.f64 t z)))) (+.f64 x x)) |
Compiled 814 to 448 computations (45% saved)
Total 1.1b remaining (97.4%)
Threshold costs 0b (0%)
Compiled 42990 to 30923 computations (28.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.5670357519327951e+109 | 9.083303842744861e+112 | 1.681822738427985e+109 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 10× | distribute-rgt-neg-in_binary64 |
| 10× | sub-neg_binary64 |
| 8× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 56 |
| 1 | 51 | 56 |
| 2 | 78 | 56 |
| 3 | 99 | 56 |
| 4 | 111 | 56 |
| 5 | 116 | 56 |
| 6 | 117 | 56 |
| 7 | 116 | 56 |
(sort a b)
Compiled 308 to 210 computations (31.8% saved)
| 1× | intervals |
| 603.0ms | 8000× | body | 128 | valid |
| 185.0ms | 2963× | body | 128 | invalid |
Compiled 308 to 213 computations (30.8% saved)
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