Time bar (total: 36.2s)
| 1× | search |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5242 | 38 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 62.4% | 12.6% | 5 |
| 25% | 56.2% | 18.8% | 6 |
| 28.1% | 50% | 22% | 7 |
| 28.1% | 46.8% | 25.1% | 8 |
| 29.7% | 41.4% | 29% | 9 |
| 29.7% | 39.4% | 30.9% | 10 |
| 31.1% | 35.8% | 33.1% | 11 |
| 31.1% | 34.4% | 34.5% | 12 |
| 31.5% | 32.9% | 35.6% | 13 |
| 31.5% | 32.1% | 36.4% | 14 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | intervals |
| 53.0ms | 82× | body | 1024 | valid |
| 45.0ms | 47× | body | 1024 | nan |
| 38.0ms | 51× | body | 2048 | valid |
| 27.0ms | 50× | body | 512 | valid |
| 19.0ms | 89× | body | 128 | overflowed |
| 16.0ms | 30× | body | 512 | nan |
| 6.0ms | 56× | body | 128 | valid |
| 6.0ms | 4× | body | 1024 | invalid |
| 5.0ms | 17× | body | 256 | valid |
| 3.0ms | 6× | body | 512 | invalid |
| 2.0ms | 28× | body | 128 | nan |
| 1.0ms | 10× | body | 128 | invalid |
| 1.0ms | 3× | body | 256 | invalid |
| 1.0ms | 3× | body | 256 | nan |
| 1.0ms | 1× | body | 2048 | nan |
Compiled 27 to 25 computations (7.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (68.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4831 | 19 |
| 1 | 4831 | 19 |
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 |
Compiled 26 to 22 computations (15.4% saved)
Found 2 expressions with local error:
| 0.0b | (pow.f64 x (/.f64 1 n)) |
| 2.3b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1× | rewrite-expression-head |
| 24× | add-sqr-sqrt_binary64_100 |
| 19× | *-un-lft-identity_binary64_78 |
| 16× | unpow-prod-down_binary64_157 |
| 13× | pow-unpow_binary64_155 |
| 12× | add-cube-cbrt_binary64_113 |
| 9× | difference-of-squares_binary64_47 times-frac_binary64_84 |
| 8× | sqr-pow_binary64_50 |
| 7× | cancel-sign-sub-inv_binary64_44 |
| 4× | add-log-exp_binary64_117 |
| 3× | pow1_binary64_139 add-exp-log_binary64_116 distribute-lft-out--_binary64_30 |
| 2× | add-cbrt-cube_binary64_114 |
| 1× | diff-log_binary64_170 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 distribute-lft-out_binary64_29 div-inv_binary64_75 pow-pow_binary64_150 pow-to-exp_binary64_147 pow-exp_binary64_146 |
2 calls:
| 10.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 3.0ms | (pow.f64 x (/.f64 1 n)) |
Compiled 1342 to 963 computations (28.2% saved)
2 calls:
| 350.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 138.0ms | (pow.f64 x (/.f64 1 n)) |
Compiled 2150 to 1648 computations (23.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (58.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4955 | 2087 |
| 1 | 4955 | 2087 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 80 | 5 | 85 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 81 | 5 | 86 |
Compiled 2185 to 1466 computations (32.9% saved)
Found 4 expressions with local error:
| 1.4b | (log.f64 (+.f64 1 x)) |
| 1.4b | (log.f64 (+.f64 1 x)) |
| 1.7b | (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n))) |
| 3.0b | (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
| 1× | rewrite-expression-head |
| 163× | times-frac_binary64_84 |
| 142× | add-sqr-sqrt_binary64_100 |
| 109× | cancel-sign-sub-inv_binary64_44 |
| 98× | *-un-lft-identity_binary64_78 |
| 81× | associate-+r+_binary64_10 |
| 72× | add-cube-cbrt_binary64_113 |
| 70× | unpow-prod-down_binary64_157 |
| 64× | associate--l+_binary64_15 |
| 32× | distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 |
| 30× | pow1_binary64_139 |
| 26× | log-pow_binary64_167 |
| 25× | difference-of-squares_binary64_47 |
| 19× | unpow2_binary64_143 sqr-pow_binary64_50 |
| 16× | distribute-lft-out--_binary64_30 |
| 13× | frac-add_binary64_86 |
| 12× | frac-sub_binary64_87 |
| 11× | add-log-exp_binary64_117 |
| 8× | log-prod_binary64_164 |
| 6× | add-exp-log_binary64_116 sub-div_binary64_85 div-inv_binary64_75 log-div_binary64_165 |
| 5× | associate-*r/_binary64_20 |
| 4× | add-cbrt-cube_binary64_114 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 frac-times_binary64_88 flip3-+_binary64_81 flip-+_binary64_52 |
| 3× | distribute-lft-out_binary64_29 |
| 2× | diff-log_binary64_170 sum-log_binary64_169 associate-*l/_binary64_21 div-sub_binary64_83 associate-+l-_binary64_13 rem-log-exp_binary64_119 |
| 1× | distribute-rgt-out--_binary64_32 associate-+r-_binary64_12 +-commutative_binary64_8 |
4 calls:
| 92.0ms | (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n))) |
| 73.0ms | (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
| 6.0ms | (log.f64 (+.f64 1 x)) |
| 3.0ms | (log.f64 (+.f64 1 x)) |
Compiled 10644 to 6530 computations (38.7% saved)
4 calls:
| 732.0ms | (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n))) |
| 320.0ms | (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
| 44.0ms | (log.f64 (+.f64 1 x)) |
| 26.0ms | (log.f64 (+.f64 1 x)) |
Compiled 3029 to 2230 computations (26.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (51.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5082 | 8709 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 254 | 7 | 261 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 256 | 10 | 266 |
Compiled 11471 to 6864 computations (40.2% saved)
Found 4 expressions with local error:
| 2.0b | (+.f64 (*.f64 (log.f64 (+.f64 x 1)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n))) (-.f64 (*.f64 n (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n)) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)))) (*.f64 (log.f64 x) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n))))) |
| 3.3b | (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) |
| 5.6b | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)) |
| 6.5b | (*.f64 n (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n)) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)))) |
| 1× | rewrite-expression-head |
| 251× | associate-*r/_binary64_20 |
| 158× | frac-add_binary64_86 |
| 75× | flip3-+_binary64_81 flip-+_binary64_52 |
| 63× | frac-sub_binary64_87 |
| 41× | add-exp-log_binary64_116 add-cbrt-cube_binary64_114 associate-*l/_binary64_21 |
| 30× | frac-times_binary64_88 |
| 23× | add-sqr-sqrt_binary64_100 |
| 20× | unpow-prod-down_binary64_157 |
| 19× | prod-exp_binary64_127 cbrt-unprod_binary64_111 |
| 16× | difference-of-squares_binary64_47 |
| 14× | pow1_binary64_139 |
| 13× | *-un-lft-identity_binary64_78 |
| 12× | sub-div_binary64_85 |
| 11× | add-log-exp_binary64_117 |
| 10× | cancel-sign-sub-inv_binary64_44 |
| 9× | unpow2_binary64_143 sqr-pow_binary64_50 |
| 8× | div-exp_binary64_129 cbrt-undiv_binary64_112 |
| 7× | add-cube-cbrt_binary64_113 |
| 5× | flip3--_binary64_82 flip--_binary64_53 log-pow_binary64_167 distribute-lft-out--_binary64_30 |
| 3× | pow-prod-down_binary64_149 associate-*l*_binary64_19 |
| 2× | associate-/l/_binary64_25 diff-log_binary64_170 sub-neg_binary64_71 sum-log_binary64_169 associate-+l+_binary64_11 associate-+r+_binary64_10 |
| 1× | associate-*r*_binary64_18 *-commutative_binary64_9 frac-2neg_binary64_89 times-frac_binary64_84 clear-num_binary64_77 div-inv_binary64_75 associate-/l*_binary64_23 associate-/r*_binary64_22 associate-+r-_binary64_12 distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 +-commutative_binary64_8 |
4 calls:
| 147.0ms | (+.f64 (*.f64 (log.f64 (+.f64 x 1)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n))) (-.f64 (*.f64 n (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n)) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)))) (*.f64 (log.f64 x) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n))))) |
| 98.0ms | (*.f64 n (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n)) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)))) |
| 32.0ms | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)) |
| 21.0ms | (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) |
Compiled 36630 to 24227 computations (33.9% saved)
4 calls:
| 2.1s | (+.f64 (*.f64 (log.f64 (+.f64 x 1)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n))) (-.f64 (*.f64 n (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n)) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)))) (*.f64 (log.f64 x) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n))))) |
| 960.0ms | (*.f64 n (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n)) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)))) |
| 309.0ms | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) 1/2) (*.f64 n n)) |
| 107.0ms | (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) |
Compiled 8198 to 5936 computations (27.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (63.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5150 | 32259 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 227 | 1 | 228 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 227 | 11 | 238 |
Compiled 33477 to 21865 computations (34.7% saved)
Found 4 expressions with local error:
| 1.6b | (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n)) |
| 3.3b | (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) |
| 6.0b | (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) |
| 9.0b | (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) |
| 1× | rewrite-expression-head |
| 17× | add-exp-log_binary64_116 *-un-lft-identity_binary64_78 |
| 15× | add-log-exp_binary64_117 |
| 13× | add-sqr-sqrt_binary64_100 |
| 11× | pow1_binary64_139 add-cube-cbrt_binary64_113 |
| 9× | add-cbrt-cube_binary64_114 associate-*r/_binary64_20 times-frac_binary64_84 associate-/l*_binary64_23 |
| 8× | unpow-prod-down_binary64_157 |
| 7× | cube-div_binary64_107 log-pow_binary64_167 log-prod_binary64_164 |
| 6× | div-exp_binary64_129 |
| 5× | frac-add_binary64_86 frac-sub_binary64_87 cancel-sign-sub-inv_binary64_44 associate--l+_binary64_15 |
| 4× | sum-log_binary64_169 diff-log_binary64_170 flip3-+_binary64_81 flip-+_binary64_52 distribute-lft-out--_binary64_30 |
| 3× | associate--l-_binary64_16 associate--r+_binary64_14 prod-exp_binary64_127 |
| 2× | flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 log-div_binary64_165 pow-to-exp_binary64_147 pow-exp_binary64_146 cbrt-undiv_binary64_112 unpow2_binary64_143 sqr-pow_binary64_50 |
| 1× | div-sub_binary64_83 associate-+r-_binary64_12 +-commutative_binary64_8 difference-of-squares_binary64_47 distribute-lft-out_binary64_29 cbrt-unprod_binary64_111 frac-2neg_binary64_89 clear-num_binary64_77 div-inv_binary64_75 associate-/r*_binary64_22 |
4 calls:
| 27.0ms | (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) |
| 11.0ms | (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) |
| 8.0ms | (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) |
| 8.0ms | (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n)) |
Compiled 7173 to 4799 computations (33.1% saved)
4 calls:
| 1.2s | (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) |
| 594.0ms | (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) |
| 187.0ms | (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n)) |
| 100.0ms | (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) |
Compiled 7210 to 5381 computations (25.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (42.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5000 | 6052 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 4 | 151 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 149 | 13 | 162 |
Compiled 9520 to 6170 computations (35.2% saved)
Total 6.8b remaining (97.1%)
Threshold costs 0b (0%)
Compiled 23309 to 16684 computations (28.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 8939932.848195631 | 6252137620.912037 | 9093778.054138303 |
Compiled 1 to 2 computations (-100% saved)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 99 |
| 1 | 75 | 99 |
| 1× | intervals |
| 1.9s | 2720× | body | 1024 | valid |
| 1.4s | 1444× | body | 1024 | nan |
| 1.3s | 1732× | body | 2048 | valid |
| 610.0ms | 2636× | body | 128 | overflowed |
| 544.0ms | 1176× | body | 512 | valid |
| 424.0ms | 726× | body | 512 | nan |
| 224.0ms | 204× | body | 1024 | invalid |
| 216.0ms | 1816× | body | 128 | valid |
| 164.0ms | 556× | body | 256 | valid |
| 160.0ms | 242× | body | 512 | invalid |
| 107.0ms | 350× | body | 256 | nan |
| 66.0ms | 797× | body | 128 | nan |
| 54.0ms | 153× | body | 256 | invalid |
| 46.0ms | 291× | body | 128 | invalid |
| 4.0ms | 4× | body | 2048 | nan |
| 2.0ms | 1× | body | 2048 | invalid |
Compiled 5771 to 4120 computations (28.6% saved)
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