Time bar (total: 24.9s)
| 1× | search |
| 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 |
| 0% | 99.9% | 0.1% | 5 |
| 3.1% | 96.8% | 0.1% | 6 |
| 15.6% | 81.2% | 3.2% | 7 |
| 23.4% | 72.6% | 4% | 8 |
| 32.4% | 56.2% | 11.4% | 9 |
| 36.3% | 51.7% | 12% | 10 |
| 40.7% | 42.9% | 16.4% | 11 |
| 42.6% | 40.3% | 17.1% | 12 |
| 44.5% | 35.7% | 19.8% | 13 |
| 45.5% | 34.4% | 20.1% | 14 |
Compiled 16 to 12 computations (25% saved)
| 1× | intervals |
| 62.0ms | 53× | body | 2048 | valid |
| 49.0ms | 90× | body | 1024 | valid |
| 8.0ms | 34× | body | 512 | valid |
| 5.0ms | 2× | body | 4096 | valid |
| 5.0ms | 7× | body | 1024 | invalid |
| 3.0ms | 57× | body | 128 | valid |
| 3.0ms | 20× | body | 256 | valid |
| 2.0ms | 6× | body | 512 | invalid |
| 2.0ms | 17× | body | 128 | invalid |
| 1.0ms | 6× | body | 256 | invalid |
| 0.0ms | 9× | body | 128 | nan |
Compiled 31 to 25 computations (19.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (72.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5036 | 22 |
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 30 to 22 computations (26.7% saved)
Found 8 expressions with local error:
| 8.7b | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 8.0b | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
| 1.6b | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
| 0.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 0.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 1.6b | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
| 8.0b | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
| 8.7b | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 1× | rewrite-expression-head |
| 584× | times-frac_binary64_2741 |
| 486× | add-sqr-sqrt_binary64_2757 |
| 367× | *-un-lft-identity_binary64_2735 |
| 225× | add-cube-cbrt_binary64_2770 |
| 174× | associate-*r*_binary64_2675 |
| 168× | difference-of-squares_binary64_2704 |
| 88× | unpow-prod-down_binary64_2814 |
| 85× | sqr-pow_binary64_2707 |
| 84× | difference-of-sqr-1_binary64_2705 |
| 29× | div-inv_binary64_2732 |
| 28× | distribute-lft-out--_binary64_2687 |
| 19× | add-exp-log_binary64_2773 |
| 18× | add-cbrt-cube_binary64_2771 |
| 13× | associate-/l*_binary64_2680 associate-/r*_binary64_2679 |
| 7× | pow1_binary64_2796 |
| 6× | cbrt-undiv_binary64_2769 div-exp_binary64_2786 add-log-exp_binary64_2774 |
| 3× | pow-unpow_binary64_2812 associate-*l*_binary64_2676 unswap-sqr_binary64_2703 cancel-sign-sub-inv_binary64_2701 prod-exp_binary64_2784 cbrt-unprod_binary64_2768 |
| 2× | associate-/l/_binary64_2682 flip3--_binary64_2739 flip--_binary64_2710 associate-/r/_binary64_2681 |
| 1× | div-sub_binary64_2740 pow-to-exp_binary64_2804 clear-num_binary64_2734 sub-neg_binary64_2728 pow-prod-down_binary64_2806 diff-log_binary64_2827 pow-exp_binary64_2803 *-commutative_binary64_2666 distribute-lft-out_binary64_2686 frac-2neg_binary64_2746 associate-*r/_binary64_2677 pow-pow_binary64_2807 |
8 calls:
| 60.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 11.0ms | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
| 7.0ms | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
| 0.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
4 calls:
| 605.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 567.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 281.0ms | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
| 150.0ms | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
Compiled 4342 to 3245 computations (25.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (67.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4940 | 18028 |
| 1 | 4940 | 18028 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 499 | 12 | 511 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 500 | 12 | 512 |
Compiled 16701 to 8949 computations (46.4% saved)
Found 8 expressions with local error:
| 0.0b | (+.f64 (*.f64 n (+.f64 (*.f64 i 1/2) (*.f64 1/6 (*.f64 i i)))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))) |
| 0.0b | (+.f64 i (*.f64 i i)) |
| 0.0b | (+.f64 (*.f64 i 1/2) (*.f64 1/6 (*.f64 i i))) |
| 0.0b | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
| 0.2b | (*.f64 1/6 (*.f64 i i)) |
| 0.3b | (*.f64 1/3 (/.f64 i (/.f64 n i))) |
| 2.8b | (+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 1/2) (*.f64 1/6 (*.f64 i i)))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))) (*.f64 -1/2 (+.f64 i (*.f64 i i)))) |
| 4.3b | (*.f64 n (+.f64 (*.f64 i 1/2) (*.f64 1/6 (*.f64 i i)))) |
| 1× | rewrite-expression-head |
| 69× | times-frac_binary64_2741 |
| 55× | add-sqr-sqrt_binary64_2757 |
| 48× | associate-*r*_binary64_2675 |
| 43× | *-un-lft-identity_binary64_2735 add-cube-cbrt_binary64_2770 |
| 23× | associate-*r/_binary64_2677 |
| 20× | frac-add_binary64_2743 add-cbrt-cube_binary64_2771 add-exp-log_binary64_2773 |
| 18× | flip-+_binary64_2709 flip3-+_binary64_2738 |
| 13× | pow1_binary64_2796 add-log-exp_binary64_2774 |
| 9× | associate-*l*_binary64_2676 |
| 7× | prod-exp_binary64_2784 cbrt-unprod_binary64_2768 |
| 6× | sum-log_binary64_2826 |
| 5× | pow-prod-down_binary64_2806 unswap-sqr_binary64_2703 |
| 4× | div-inv_binary64_2732 |
| 3× | cbrt-undiv_binary64_2769 div-exp_binary64_2786 *-commutative_binary64_2666 |
| 2× | distribute-rgt-in_binary64_2685 distribute-lft-in_binary64_2684 associate-+r+_binary64_2667 |
| 1× | associate-+l+_binary64_2668 associate-/r/_binary64_2681 +-commutative_binary64_2665 |
8 calls:
| 16.0ms | (*.f64 1/3 (/.f64 i (/.f64 n i))) |
| 14.0ms | (+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 1/2) (*.f64 1/6 (*.f64 i i)))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))) (*.f64 -1/2 (+.f64 i (*.f64 i i)))) |
| 7.0ms | (*.f64 n (+.f64 (*.f64 i 1/2) (*.f64 1/6 (*.f64 i i)))) |
| 6.0ms | (*.f64 1/6 (*.f64 i i)) |
| 0.0ms | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
4 calls:
| 432.0ms | (+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 1/2) (*.f64 1/6 (*.f64 i i)))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))) (*.f64 -1/2 (+.f64 i (*.f64 i i)))) |
| 138.0ms | (*.f64 n (+.f64 (*.f64 i 1/2) (*.f64 1/6 (*.f64 i i)))) |
| 82.0ms | (*.f64 1/3 (/.f64 i (/.f64 n i))) |
| 26.0ms | (*.f64 1/6 (*.f64 i i)) |
Compiled 1669 to 1277 computations (23.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (20.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5031 | 5453 |
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 2 | 171 |
| Fresh | 0 | 11 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 169 | 14 | 183 |
Compiled 7884 to 4151 computations (47.3% saved)
Found 8 expressions with local error:
| 0.0b | (+.f64 1/2 (*.f64 i 1/6)) |
| 0.0b | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
| 0.0b | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
| 0.0b | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
| 4.3b | (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) |
| 15.5b | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 15.5b | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 15.5b | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 1× | rewrite-expression-head |
| 100× | associate-*r/_binary64_2677 |
| 60× | frac-add_binary64_2743 |
| 52× | flip-+_binary64_2709 flip3-+_binary64_2738 |
| 42× | cbrt-div_binary64_2767 |
| 9× | pow1_binary64_2796 add-cbrt-cube_binary64_2771 add-exp-log_binary64_2773 cbrt-prod_binary64_2766 |
| 8× | *-un-lft-identity_binary64_2735 add-cube-cbrt_binary64_2770 add-sqr-sqrt_binary64_2757 |
| 4× | distribute-rgt-in_binary64_2685 distribute-lft-in_binary64_2684 add-log-exp_binary64_2774 |
| 3× | associate-*l*_binary64_2676 pow1/3_binary64_2817 pow-prod-down_binary64_2806 prod-exp_binary64_2784 cbrt-unprod_binary64_2768 |
| 1× | *-commutative_binary64_2666 associate-*r*_binary64_2675 |
8 calls:
| 18.0ms | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 15.0ms | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 15.0ms | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 7.0ms | (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) |
| 0.0ms | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
4 calls:
| 1.2s | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 1.2s | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 1.1s | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 147.0ms | (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) |
Compiled 14486 to 11066 computations (23.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (23.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5000 | 14359 |
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 152 | 1 | 153 |
| Fresh | 0 | 12 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 152 | 15 | 167 |
Compiled 20294 to 11384 computations (43.9% saved)
Found 8 expressions with local error:
| 0.0b | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
| 0.0b | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
| 0.0b | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
| 0.0b | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
| 15.5b | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 15.5b | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 15.5b | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 15.5b | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 1× | rewrite-expression-head |
| 128× | associate-*r/_binary64_2677 |
| 80× | frac-add_binary64_2743 |
| 68× | flip-+_binary64_2709 flip3-+_binary64_2738 |
| 56× | cbrt-div_binary64_2767 |
| 12× | cbrt-prod_binary64_2766 |
| 8× | *-un-lft-identity_binary64_2735 add-cube-cbrt_binary64_2770 add-sqr-sqrt_binary64_2757 |
| 4× | pow1_binary64_2796 pow1/3_binary64_2817 add-cbrt-cube_binary64_2771 add-log-exp_binary64_2774 add-exp-log_binary64_2773 |
8 calls:
| 16.0ms | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 16.0ms | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 16.0ms | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 16.0ms | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 0.0ms | (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
4 calls:
| 1.2s | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 1.1s | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 1.1s | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
| 1.1s | (cbrt.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))) (+.f64 (*.f64 -1/2 (+.f64 i (*.f64 i i))) (+.f64 n (*.f64 1/3 (/.f64 i (/.f64 n i))))))) |
Compiled 22652 to 16464 computations (27.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (23.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5199 | 18528 |
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 1 | 160 |
| Fresh | 0 | 12 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 160 | 15 | 175 |
Compiled 32016 to 17817 computations (44.3% saved)
Total 10.6b remaining (95.9%)
Threshold costs 0b (0%)
Compiled 9686 to 6304 computations (34.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 12 | 13.435813393928033 | 8.677803220342494e+40 | 13.565025160760564 |
| 9 | -4.357261029441336 | -7.481267210665203e-06 | -0.00011156580364168401 |
Compiled 1 to 2 computations (-100% saved)
| 1× | egg-herbie |
Useful iterations: 0 (6.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 306 |
| 1 | 384 | 306 |
| 1× | intervals |
| 2.1s | 1744× | body | 2048 | valid |
| 1.4s | 2702× | body | 1024 | valid |
| 283.0ms | 1160× | body | 512 | valid |
| 110.0ms | 1806× | body | 128 | valid |
| 105.0ms | 179× | body | 1024 | invalid |
| 83.0ms | 228× | body | 512 | invalid |
| 79.0ms | 567× | body | 256 | valid |
| 43.0ms | 471× | body | 128 | invalid |
| 42.0ms | 21× | body | 4096 | valid |
| 33.0ms | 153× | body | 256 | invalid |
| 20.0ms | 22× | body | 2048 | invalid |
| 13.0ms | 288× | body | 128 | nan |
Compiled 2632 to 1707 computations (35.1% saved)
0
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