Time bar (total: 8.4s)
| 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% | 87.4% | 12.6% | 5 |
| 9.4% | 65.5% | 25.1% | 6 |
| 14% | 60.8% | 25.1% | 7 |
| 19.5% | 49.1% | 31.4% | 8 |
| 24.6% | 37.8% | 37.6% | 9 |
| 28.7% | 33.7% | 37.6% | 10 |
| 33.3% | 26% | 40.7% | 11 |
| 36.2% | 19.9% | 43.8% | 12 |
| 38.6% | 17.6% | 43.8% | 13 |
| 41.3% | 13.3% | 45.4% | 14 |
Compiled 9 to 8 computations (11.1% saved)
| 1× | intervals |
| 18.0ms | 256× | body | 128 | valid |
| 1.0ms | 27× | body | 128 | nan |
| 0.0ms | 3× | body | 128 | invalid |
Compiled 17 to 18 computations (-5.9% saved)
| 1× | egg-herbie |
| 442× | div-sub_binary64_7926 |
| 425× | exp-prod_binary64_7973 |
| 359× | associate-+l-_binary64_7856 |
| 303× | swap-sqr_binary64_7888 |
| 293× | associate-/r*_binary64_7865 |
| 291× | associate--l-_binary64_7859 |
| 279× | unsub-neg_binary64_7915 |
| 240× | associate--r-_binary64_7860 |
| 195× | distribute-neg-in_binary64_7882 |
| 180× | distribute-rgt-neg-in_binary64_7879 |
| 139× | distribute-rgt-in_binary64_7871 |
| 137× | distribute-lft-neg-in_binary64_7878 distribute-rgt1-in_binary64_7877 |
| 135× | associate-/l*_binary64_7866 |
| 131× | sub-neg_binary64_7914 |
| 129× | associate-/r/_binary64_7867 |
| 120× | exp-sum_binary64_7967 |
| 109× | neg-mul-1_binary64_7917 |
| 105× | neg-sub0_binary64_7916 |
| 101× | cancel-sign-sub-inv_binary64_7887 |
| 99× | distribute-rgt-neg-out_binary64_7881 |
| 86× | *-commutative_binary64_7852 |
| 85× | sqr-pow_binary64_7893 |
| 83× | distribute-lft-in_binary64_7870 |
| 67× | associate-*r*_binary64_7861 |
| 65× | distribute-lft-neg-out_binary64_7880 |
| 64× | associate--r+_binary64_7857 |
| 49× | associate-+r+_binary64_7853 |
| 48× | associate-+l+_binary64_7854 |
| 44× | pow-plus_binary64_7984 associate--l+_binary64_7858 |
| 41× | distribute-rgt-out_binary64_7874 |
| 39× | pow-sqr_binary64_7894 |
| 38× | +-commutative_binary64_7851 |
| 37× | exp-diff_binary64_7969 |
| 34× | distribute-neg-out_binary64_7883 |
| 32× | remove-double-neg_binary64_7909 |
| 31× | sqr-neg_binary64_7935 |
| 30× | log-prod_binary64_8007 associate-*l*_binary64_7862 |
| 28× | distribute-rgt-out--_binary64_7875 |
| 27× | exp-neg_binary64_7968 |
| 22× | distribute-lft1-in_binary64_7876 |
| 18× | associate-+r-_binary64_7855 |
| 17× | log-div_binary64_8008 sub0-neg_binary64_7908 |
| 16× | mul0-lft_binary64_7903 |
| 15× | mul0-rgt_binary64_7904 distribute-neg-frac_binary64_7885 |
| 11× | exp-lft-sqr_binary64_7976 count-2_binary64_7869 |
| 10× | --rgt-identity_binary64_7907 +-rgt-identity_binary64_7906 |
| 9× | *-rgt-identity_binary64_7911 *-lft-identity_binary64_7910 |
| 7× | distribute-frac-neg_binary64_7884 |
| 6× | +-lft-identity_binary64_7905 distribute-lft-out_binary64_7872 |
| 5× | cube-unmult_binary64_7958 +-inverses_binary64_7900 distribute-lft-out--_binary64_7873 |
| 4× | cube-prod_binary64_7949 |
| 3× | exp-to-pow_binary64_7983 |
| 1× | log-pow_binary64_8010 1-exp_binary64_7965 cube-neg_binary64_7948 mul-1-neg_binary64_7913 div0_binary64_7902 difference-of-sqr--1_binary64_7892 difference-of-squares_binary64_7890 cancel-sign-sub_binary64_7886 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_8184 erf-erfc_binary64_8183 erf-odd_binary64_8182 if-if-and-not_binary64_8181 if-if-and_binary64_8180 if-if-or-not_binary64_8179 if-if-or_binary64_8178 if-not_binary64_8177 if-same_binary64_8176 if-false_binary64_8175 if-true_binary64_8174 not-gte_binary64_8173 not-lte_binary64_8172 not-gt_binary64_8171 not-lt_binary64_8170 gte-same_binary64_8169 lte-same_binary64_8168 gt-same_binary64_8167 lt-same_binary64_8166 sinh---cosh_binary64_8113 sinh-+-cosh_binary64_8112 sinh-cosh_binary64_8111 tanh-def-c_binary64_8110 tanh-def-b_binary64_8109 tanh-def-a_binary64_8108 cosh-def_binary64_8107 sinh-def_binary64_8106 tan-neg_binary64_8053 cos-neg_binary64_8052 sin-neg_binary64_8051 tan-0_binary64_8050 cos-0_binary64_8049 sin-0_binary64_8048 hang-m-tan_binary64_8047 hang-p-tan_binary64_8046 hang-m0-tan_binary64_8045 hang-p0-tan_binary64_8044 hang-0m-tan_binary64_8043 hang-0p-tan_binary64_8042 tan-+PI/2_binary64_8041 tan-+PI_binary64_8040 tan-PI_binary64_8039 tan-PI/3_binary64_8038 tan-PI/4_binary64_8037 tan-PI/6_binary64_8036 cos-+PI/2_binary64_8035 cos-+PI_binary64_8034 cos-PI_binary64_8033 cos-PI/2_binary64_8032 cos-PI/3_binary64_8031 cos-PI/4_binary64_8030 cos-PI/6_binary64_8029 sin-+PI/2_binary64_8028 sin-+PI_binary64_8027 sin-PI_binary64_8026 sin-PI/2_binary64_8025 sin-PI/3_binary64_8024 sin-PI/4_binary64_8023 sin-PI/6_binary64_8022 sub-1-sin_binary64_8021 sub-1-cos_binary64_8020 -1-add-sin_binary64_8019 -1-add-cos_binary64_8018 1-sub-sin_binary64_8017 1-sub-cos_binary64_8016 cos-sin-sum_binary64_8015 log-E_binary64_8011 log-rec_binary64_8009 pow-base-0_binary64_8005 unpow1/3_binary64_7988 unpow3_binary64_7987 unpow2_binary64_7986 unpow1/2_binary64_7985 pow-base-1_binary64_7981 unpow0_binary64_7980 unpow1_binary64_7979 unpow-1_binary64_7978 exp-lft-cube_binary64_7977 exp-cbrt_binary64_7975 exp-sqrt_binary64_7974 div-exp_binary64_7972 rec-exp_binary64_7971 prod-exp_binary64_7970 e-exp-1_binary64_7966 exp-1-e_binary64_7964 exp-0_binary64_7963 rem-log-exp_binary64_7962 rem-exp-log_binary64_7961 cube-mult_binary64_7951 cube-div_binary64_7950 rem-3cbrt-rft_binary64_7947 rem-3cbrt-lft_binary64_7946 rem-cbrt-cube_binary64_7945 rem-cube-cbrt_binary64_7944 sqr-abs_binary64_7936 rem-sqrt-square_binary64_7934 rem-square-sqrt_binary64_7933 times-frac_binary64_7927 /-rgt-identity_binary64_7912 *-inverses_binary64_7901 lft-mult-inverse_binary64_7899 rgt-mult-inverse_binary64_7898 remove-double-div_binary64_7897 difference-of-sqr-1_binary64_7891 unswap-sqr_binary64_7889 associate-/l/_binary64_7868 associate-*l/_binary64_7864 associate-*r/_binary64_7863 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 14 | 12 |
| 2 | 21 | 12 |
| 3 | 36 | 12 |
| 4 | 80 | 12 |
| 5 | 159 | 12 |
| 6 | 284 | 12 |
| 7 | 643 | 12 |
| 8 | 1690 | 12 |
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 |
Compiled 8 to 7 computations (12.5% saved)
Found 3 expressions with local error:
| 0.0b | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 0.2b | (*.f64 x (log.f64 (/.f64 x y))) |
| 18.4b | (log.f64 (/.f64 x y)) |
| 1× | rewrite-expression-head |
| 65× | log-prod_binary64_8007 |
| 45× | times-frac_binary64_7927 |
| 43× | add-sqr-sqrt_binary64_7943 |
| 41× | add-cube-cbrt_binary64_7956 *-un-lft-identity_binary64_7921 |
| 26× | distribute-rgt-in_binary64_7871 distribute-lft-in_binary64_7870 associate--l+_binary64_7858 |
| 8× | add-exp-log_binary64_7959 |
| 7× | pow1_binary64_7982 |
| 5× | div-inv_binary64_7918 add-log-exp_binary64_7960 add-cbrt-cube_binary64_7957 |
| 4× | associate-*r*_binary64_7861 |
| 3× | associate-*l*_binary64_7862 cancel-sign-sub-inv_binary64_7887 |
| 2× | log-pow_binary64_8010 rem-log-exp_binary64_7962 |
| 1× | log-div_binary64_8008 div-exp_binary64_7972 pow-prod-down_binary64_7992 prod-exp_binary64_7970 cbrt-unprod_binary64_7954 unswap-sqr_binary64_7889 *-commutative_binary64_7852 diff-log_binary64_8013 flip3--_binary64_7925 sub-neg_binary64_7914 flip--_binary64_7896 |
3 calls:
| 9.0ms | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 7.0ms | (*.f64 x (log.f64 (/.f64 x y))) |
| 4.0ms | (log.f64 (/.f64 x y)) |
Compiled 1824 to 491 computations (73.1% saved)
3 calls:
| 494.0ms | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 280.0ms | (*.f64 x (log.f64 (/.f64 x y))) |
| 195.0ms | (log.f64 (/.f64 x y)) |
Compiled 807 to 630 computations (21.9% saved)
| 1× | egg-herbie |
| 660× | distribute-rgt-neg-out_binary64_7881 |
| 489× | unsub-neg_binary64_7915 |
| 385× | distribute-rgt-in_binary64_7871 |
| 361× | distribute-lft-in_binary64_7870 |
| 234× | sub-neg_binary64_7914 |
| 221× | distribute-neg-out_binary64_7883 |
| 153× | neg-mul-1_binary64_7917 |
| 147× | *-commutative_binary64_7852 |
| 146× | neg-sub0_binary64_7916 |
| 110× | div-sub_binary64_7926 |
| 107× | associate-*l/_binary64_7864 |
| 103× | associate-*l*_binary64_7862 |
| 102× | exp-prod_binary64_7973 |
| 101× | log-div_binary64_8008 |
| 93× | associate-*r*_binary64_7861 |
| 86× | associate-+l+_binary64_7854 |
| 82× | +-commutative_binary64_7851 |
| 74× | associate-+r+_binary64_7853 |
| 69× | sqr-pow_binary64_7893 |
| 68× | *-rgt-identity_binary64_7911 |
| 66× | *-lft-identity_binary64_7910 |
| 65× | distribute-lft-neg-out_binary64_7880 |
| 61× | exp-sum_binary64_7967 |
| 58× | distribute-neg-in_binary64_7882 |
| 57× | log-prod_binary64_8007 |
| 56× | associate-+l-_binary64_7856 |
| 55× | cancel-sign-sub_binary64_7886 |
| 53× | exp-diff_binary64_7969 |
| 44× | distribute-frac-neg_binary64_7884 |
| 43× | sub0-neg_binary64_7908 unswap-sqr_binary64_7889 |
| 38× | times-frac_binary64_7927 associate--l-_binary64_7859 |
| 35× | swap-sqr_binary64_7888 associate-+r-_binary64_7855 |
| 33× | associate-/l*_binary64_7866 |
| 31× | associate--l+_binary64_7858 |
| 29× | cancel-sign-sub-inv_binary64_7887 |
| 28× | difference-of-squares_binary64_7890 |
| 26× | distribute-rgt-neg-in_binary64_7879 |
| 25× | pow-sqr_binary64_7894 associate-/l/_binary64_7868 |
| 24× | associate-/r*_binary64_7865 |
| 22× | exp-to-pow_binary64_7983 |
| 20× | log-rec_binary64_8009 +-rgt-identity_binary64_7906 distribute-rgt-out_binary64_7874 |
| 19× | cube-prod_binary64_7949 mul0-rgt_binary64_7904 |
| 18× | mul0-lft_binary64_7903 |
| 17× | distribute-rgt-out--_binary64_7875 associate-/r/_binary64_7867 |
| 16× | sqr-neg_binary64_7935 +-lft-identity_binary64_7905 |
| 15× | exp-neg_binary64_7968 distribute-lft-neg-in_binary64_7878 associate-*r/_binary64_7863 |
| 14× | distribute-lft-out_binary64_7872 |
| 13× | associate--r+_binary64_7857 |
| 12× | distribute-neg-frac_binary64_7885 |
| 10× | /-rgt-identity_binary64_7912 |
| 8× | unpow3_binary64_7987 cube-neg_binary64_7948 |
| 7× | cube-div_binary64_7950 remove-double-neg_binary64_7909 associate--r-_binary64_7860 |
| 6× | div-exp_binary64_7972 count-2_binary64_7869 |
| 4× | log-pow_binary64_8010 cube-unmult_binary64_7958 rem-sqrt-square_binary64_7934 mul-1-neg_binary64_7913 |
| 3× | rem-exp-log_binary64_7961 --rgt-identity_binary64_7907 div0_binary64_7902 |
| 2× | cube-mult_binary64_7951 distribute-rgt1-in_binary64_7877 distribute-lft-out--_binary64_7873 |
| 1× | pow-plus_binary64_7984 pow-base-1_binary64_7981 rec-exp_binary64_7971 prod-exp_binary64_7970 1-exp_binary64_7965 exp-1-e_binary64_7964 rem-log-exp_binary64_7962 rem-3cbrt-lft_binary64_7946 rem-square-sqrt_binary64_7933 +-inverses_binary64_7900 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_8184 erf-erfc_binary64_8183 erf-odd_binary64_8182 if-if-and-not_binary64_8181 if-if-and_binary64_8180 if-if-or-not_binary64_8179 if-if-or_binary64_8178 if-not_binary64_8177 if-same_binary64_8176 if-false_binary64_8175 if-true_binary64_8174 not-gte_binary64_8173 not-lte_binary64_8172 not-gt_binary64_8171 not-lt_binary64_8170 gte-same_binary64_8169 lte-same_binary64_8168 gt-same_binary64_8167 lt-same_binary64_8166 sinh---cosh_binary64_8113 sinh-+-cosh_binary64_8112 sinh-cosh_binary64_8111 tanh-def-c_binary64_8110 tanh-def-b_binary64_8109 tanh-def-a_binary64_8108 cosh-def_binary64_8107 sinh-def_binary64_8106 tan-neg_binary64_8053 cos-neg_binary64_8052 sin-neg_binary64_8051 tan-0_binary64_8050 cos-0_binary64_8049 sin-0_binary64_8048 hang-m-tan_binary64_8047 hang-p-tan_binary64_8046 hang-m0-tan_binary64_8045 hang-p0-tan_binary64_8044 hang-0m-tan_binary64_8043 hang-0p-tan_binary64_8042 tan-+PI/2_binary64_8041 tan-+PI_binary64_8040 tan-PI_binary64_8039 tan-PI/3_binary64_8038 tan-PI/4_binary64_8037 tan-PI/6_binary64_8036 cos-+PI/2_binary64_8035 cos-+PI_binary64_8034 cos-PI_binary64_8033 cos-PI/2_binary64_8032 cos-PI/3_binary64_8031 cos-PI/4_binary64_8030 cos-PI/6_binary64_8029 sin-+PI/2_binary64_8028 sin-+PI_binary64_8027 sin-PI_binary64_8026 sin-PI/2_binary64_8025 sin-PI/3_binary64_8024 sin-PI/4_binary64_8023 sin-PI/6_binary64_8022 sub-1-sin_binary64_8021 sub-1-cos_binary64_8020 -1-add-sin_binary64_8019 -1-add-cos_binary64_8018 1-sub-sin_binary64_8017 1-sub-cos_binary64_8016 cos-sin-sum_binary64_8015 log-E_binary64_8011 pow-base-0_binary64_8005 unpow1/3_binary64_7988 unpow2_binary64_7986 unpow1/2_binary64_7985 unpow0_binary64_7980 unpow1_binary64_7979 unpow-1_binary64_7978 exp-lft-cube_binary64_7977 exp-lft-sqr_binary64_7976 exp-cbrt_binary64_7975 exp-sqrt_binary64_7974 e-exp-1_binary64_7966 exp-0_binary64_7963 rem-3cbrt-rft_binary64_7947 rem-cbrt-cube_binary64_7945 rem-cube-cbrt_binary64_7944 sqr-abs_binary64_7936 *-inverses_binary64_7901 lft-mult-inverse_binary64_7899 rgt-mult-inverse_binary64_7898 remove-double-div_binary64_7897 difference-of-sqr--1_binary64_7892 difference-of-sqr-1_binary64_7891 distribute-lft1-in_binary64_7876 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 2057 |
| 1 | 377 | 1984 |
| 2 | 1087 | 1940 |
| 3 | 3263 | 1940 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 7 | 161 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 155 | 7 | 162 |
Compiled 2671 to 682 computations (74.5% saved)
Found 4 expressions with local error:
| 0.5b | (cbrt.f64 y) |
| 0.5b | (cbrt.f64 y) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 12× | cbrt-prod_binary64_7952 |
| 8× | add-cube-cbrt_binary64_7956 add-sqr-sqrt_binary64_7943 *-un-lft-identity_binary64_7921 |
| 4× | pow1/3_binary64_8003 pow1_binary64_7982 add-log-exp_binary64_7960 add-exp-log_binary64_7959 add-cbrt-cube_binary64_7957 |
4 calls:
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 y) |
| 1.0ms | (cbrt.f64 y) |
Compiled 1108 to 380 computations (65.7% saved)
4 calls:
| 127.0ms | (cbrt.f64 y) |
| 124.0ms | (cbrt.f64 x) |
| 124.0ms | (cbrt.f64 y) |
| 112.0ms | (cbrt.f64 x) |
Compiled 852 to 590 computations (30.8% saved)
| 1× | egg-herbie |
| 804× | distribute-rgt-in_binary64_7871 |
| 792× | distribute-lft-in_binary64_7870 |
| 484× | unswap-sqr_binary64_7889 |
| 342× | associate-*l*_binary64_7862 |
| 222× | log-prod_binary64_8007 |
| 190× | associate-*r*_binary64_7861 |
| 168× | distribute-rgt-neg-in_binary64_7879 distribute-lft-neg-in_binary64_7878 |
| 140× | distribute-rgt-out_binary64_7874 |
| 90× | sqr-pow_binary64_7893 |
| 70× | cancel-sign-sub-inv_binary64_7887 |
| 56× | pow-sqr_binary64_7894 |
| 50× | distribute-lft-out_binary64_7872 |
| 36× | exp-prod_binary64_7973 |
| 34× | log-pow_binary64_8010 distribute-rgt-neg-out_binary64_7881 distribute-lft-neg-out_binary64_7880 |
| 32× | *-commutative_binary64_7852 |
| 26× | neg-sub0_binary64_7916 |
| 24× | cube-prod_binary64_7949 neg-mul-1_binary64_7917 |
| 14× | distribute-rgt1-in_binary64_7877 |
| 13× | cube-unmult_binary64_7958 |
| 12× | sub-neg_binary64_7914 |
| 10× | pow-plus_binary64_7984 rem-sqrt-square_binary64_7934 |
| 6× | count-2_binary64_7869 associate-/l*_binary64_7866 associate-+r+_binary64_7853 |
| 4× | unpow1/3_binary64_7988 associate-/l/_binary64_7868 associate-*l/_binary64_7864 associate-+l+_binary64_7854 |
| 3× | associate-*r/_binary64_7863 |
| 2× | unpow3_binary64_7987 rem-3cbrt-lft_binary64_7946 times-frac_binary64_7927 mul-1-neg_binary64_7913 associate-+r-_binary64_7855 +-commutative_binary64_7851 |
| 1× | 1-exp_binary64_7965 +-rgt-identity_binary64_7906 *-inverses_binary64_7901 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_8184 erf-erfc_binary64_8183 erf-odd_binary64_8182 if-if-and-not_binary64_8181 if-if-and_binary64_8180 if-if-or-not_binary64_8179 if-if-or_binary64_8178 if-not_binary64_8177 if-same_binary64_8176 if-false_binary64_8175 if-true_binary64_8174 not-gte_binary64_8173 not-lte_binary64_8172 not-gt_binary64_8171 not-lt_binary64_8170 gte-same_binary64_8169 lte-same_binary64_8168 gt-same_binary64_8167 lt-same_binary64_8166 sinh---cosh_binary64_8113 sinh-+-cosh_binary64_8112 sinh-cosh_binary64_8111 tanh-def-c_binary64_8110 tanh-def-b_binary64_8109 tanh-def-a_binary64_8108 cosh-def_binary64_8107 sinh-def_binary64_8106 tan-neg_binary64_8053 cos-neg_binary64_8052 sin-neg_binary64_8051 tan-0_binary64_8050 cos-0_binary64_8049 sin-0_binary64_8048 hang-m-tan_binary64_8047 hang-p-tan_binary64_8046 hang-m0-tan_binary64_8045 hang-p0-tan_binary64_8044 hang-0m-tan_binary64_8043 hang-0p-tan_binary64_8042 tan-+PI/2_binary64_8041 tan-+PI_binary64_8040 tan-PI_binary64_8039 tan-PI/3_binary64_8038 tan-PI/4_binary64_8037 tan-PI/6_binary64_8036 cos-+PI/2_binary64_8035 cos-+PI_binary64_8034 cos-PI_binary64_8033 cos-PI/2_binary64_8032 cos-PI/3_binary64_8031 cos-PI/4_binary64_8030 cos-PI/6_binary64_8029 sin-+PI/2_binary64_8028 sin-+PI_binary64_8027 sin-PI_binary64_8026 sin-PI/2_binary64_8025 sin-PI/3_binary64_8024 sin-PI/4_binary64_8023 sin-PI/6_binary64_8022 sub-1-sin_binary64_8021 sub-1-cos_binary64_8020 -1-add-sin_binary64_8019 -1-add-cos_binary64_8018 1-sub-sin_binary64_8017 1-sub-cos_binary64_8016 cos-sin-sum_binary64_8015 log-E_binary64_8011 log-rec_binary64_8009 log-div_binary64_8008 pow-base-0_binary64_8005 unpow2_binary64_7986 unpow1/2_binary64_7985 exp-to-pow_binary64_7983 pow-base-1_binary64_7981 unpow0_binary64_7980 unpow1_binary64_7979 unpow-1_binary64_7978 exp-lft-cube_binary64_7977 exp-lft-sqr_binary64_7976 exp-cbrt_binary64_7975 exp-sqrt_binary64_7974 div-exp_binary64_7972 rec-exp_binary64_7971 prod-exp_binary64_7970 exp-diff_binary64_7969 exp-neg_binary64_7968 exp-sum_binary64_7967 e-exp-1_binary64_7966 exp-1-e_binary64_7964 exp-0_binary64_7963 rem-log-exp_binary64_7962 rem-exp-log_binary64_7961 cube-mult_binary64_7951 cube-div_binary64_7950 cube-neg_binary64_7948 rem-3cbrt-rft_binary64_7947 rem-cbrt-cube_binary64_7945 rem-cube-cbrt_binary64_7944 sqr-abs_binary64_7936 sqr-neg_binary64_7935 rem-square-sqrt_binary64_7933 div-sub_binary64_7926 unsub-neg_binary64_7915 /-rgt-identity_binary64_7912 *-rgt-identity_binary64_7911 *-lft-identity_binary64_7910 remove-double-neg_binary64_7909 sub0-neg_binary64_7908 --rgt-identity_binary64_7907 +-lft-identity_binary64_7905 mul0-rgt_binary64_7904 mul0-lft_binary64_7903 div0_binary64_7902 +-inverses_binary64_7900 lft-mult-inverse_binary64_7899 rgt-mult-inverse_binary64_7898 remove-double-div_binary64_7897 difference-of-sqr--1_binary64_7892 difference-of-sqr-1_binary64_7891 difference-of-squares_binary64_7890 swap-sqr_binary64_7888 cancel-sign-sub_binary64_7886 distribute-neg-frac_binary64_7885 distribute-frac-neg_binary64_7884 distribute-neg-out_binary64_7883 distribute-neg-in_binary64_7882 distribute-lft1-in_binary64_7876 distribute-rgt-out--_binary64_7875 distribute-lft-out--_binary64_7873 associate-/r/_binary64_7867 associate-/r*_binary64_7865 associate--r-_binary64_7860 associate--l-_binary64_7859 associate--l+_binary64_7858 associate--r+_binary64_7857 associate-+l-_binary64_7856 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 340 |
| 1 | 60 | 336 |
| 2 | 152 | 336 |
| 3 | 398 | 336 |
| 4 | 1293 | 336 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 0 | 24 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 24 | 7 | 31 |
Compiled 691 to 296 computations (57.2% saved)
Found 4 expressions with local error:
| 0.5b | (cbrt.f64 y) |
| 0.5b | (cbrt.f64 y) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 12× | cbrt-prod_binary64_7952 |
| 8× | add-cube-cbrt_binary64_7956 add-sqr-sqrt_binary64_7943 *-un-lft-identity_binary64_7921 |
| 4× | pow1/3_binary64_8003 pow1_binary64_7982 add-log-exp_binary64_7960 add-exp-log_binary64_7959 add-cbrt-cube_binary64_7957 |
4 calls:
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 y) |
| 1.0ms | (cbrt.f64 y) |
Compiled 1020 to 357 computations (65% saved)
4 calls:
| 122.0ms | (cbrt.f64 x) |
| 122.0ms | (cbrt.f64 x) |
| 111.0ms | (cbrt.f64 y) |
| 109.0ms | (cbrt.f64 y) |
Compiled 780 to 559 computations (28.3% saved)
| 1× | egg-herbie |
| 804× | distribute-rgt-in_binary64_7871 |
| 792× | distribute-lft-in_binary64_7870 |
| 484× | unswap-sqr_binary64_7889 |
| 342× | associate-*l*_binary64_7862 |
| 222× | log-prod_binary64_8007 |
| 190× | associate-*r*_binary64_7861 |
| 168× | distribute-rgt-neg-in_binary64_7879 distribute-lft-neg-in_binary64_7878 |
| 140× | distribute-rgt-out_binary64_7874 |
| 90× | sqr-pow_binary64_7893 |
| 70× | cancel-sign-sub-inv_binary64_7887 |
| 56× | pow-sqr_binary64_7894 |
| 50× | distribute-lft-out_binary64_7872 |
| 36× | exp-prod_binary64_7973 |
| 34× | log-pow_binary64_8010 distribute-rgt-neg-out_binary64_7881 distribute-lft-neg-out_binary64_7880 |
| 32× | *-commutative_binary64_7852 |
| 26× | neg-sub0_binary64_7916 |
| 24× | cube-prod_binary64_7949 neg-mul-1_binary64_7917 |
| 14× | distribute-rgt1-in_binary64_7877 |
| 13× | cube-unmult_binary64_7958 |
| 12× | sub-neg_binary64_7914 |
| 10× | pow-plus_binary64_7984 rem-sqrt-square_binary64_7934 |
| 6× | count-2_binary64_7869 associate-/l*_binary64_7866 associate-+r+_binary64_7853 |
| 4× | unpow1/3_binary64_7988 associate-/l/_binary64_7868 associate-*l/_binary64_7864 associate-+l+_binary64_7854 |
| 3× | associate-*r/_binary64_7863 |
| 2× | unpow3_binary64_7987 rem-3cbrt-lft_binary64_7946 times-frac_binary64_7927 mul-1-neg_binary64_7913 associate-+r-_binary64_7855 +-commutative_binary64_7851 |
| 1× | 1-exp_binary64_7965 +-rgt-identity_binary64_7906 *-inverses_binary64_7901 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_8184 erf-erfc_binary64_8183 erf-odd_binary64_8182 if-if-and-not_binary64_8181 if-if-and_binary64_8180 if-if-or-not_binary64_8179 if-if-or_binary64_8178 if-not_binary64_8177 if-same_binary64_8176 if-false_binary64_8175 if-true_binary64_8174 not-gte_binary64_8173 not-lte_binary64_8172 not-gt_binary64_8171 not-lt_binary64_8170 gte-same_binary64_8169 lte-same_binary64_8168 gt-same_binary64_8167 lt-same_binary64_8166 sinh---cosh_binary64_8113 sinh-+-cosh_binary64_8112 sinh-cosh_binary64_8111 tanh-def-c_binary64_8110 tanh-def-b_binary64_8109 tanh-def-a_binary64_8108 cosh-def_binary64_8107 sinh-def_binary64_8106 tan-neg_binary64_8053 cos-neg_binary64_8052 sin-neg_binary64_8051 tan-0_binary64_8050 cos-0_binary64_8049 sin-0_binary64_8048 hang-m-tan_binary64_8047 hang-p-tan_binary64_8046 hang-m0-tan_binary64_8045 hang-p0-tan_binary64_8044 hang-0m-tan_binary64_8043 hang-0p-tan_binary64_8042 tan-+PI/2_binary64_8041 tan-+PI_binary64_8040 tan-PI_binary64_8039 tan-PI/3_binary64_8038 tan-PI/4_binary64_8037 tan-PI/6_binary64_8036 cos-+PI/2_binary64_8035 cos-+PI_binary64_8034 cos-PI_binary64_8033 cos-PI/2_binary64_8032 cos-PI/3_binary64_8031 cos-PI/4_binary64_8030 cos-PI/6_binary64_8029 sin-+PI/2_binary64_8028 sin-+PI_binary64_8027 sin-PI_binary64_8026 sin-PI/2_binary64_8025 sin-PI/3_binary64_8024 sin-PI/4_binary64_8023 sin-PI/6_binary64_8022 sub-1-sin_binary64_8021 sub-1-cos_binary64_8020 -1-add-sin_binary64_8019 -1-add-cos_binary64_8018 1-sub-sin_binary64_8017 1-sub-cos_binary64_8016 cos-sin-sum_binary64_8015 log-E_binary64_8011 log-rec_binary64_8009 log-div_binary64_8008 pow-base-0_binary64_8005 unpow2_binary64_7986 unpow1/2_binary64_7985 exp-to-pow_binary64_7983 pow-base-1_binary64_7981 unpow0_binary64_7980 unpow1_binary64_7979 unpow-1_binary64_7978 exp-lft-cube_binary64_7977 exp-lft-sqr_binary64_7976 exp-cbrt_binary64_7975 exp-sqrt_binary64_7974 div-exp_binary64_7972 rec-exp_binary64_7971 prod-exp_binary64_7970 exp-diff_binary64_7969 exp-neg_binary64_7968 exp-sum_binary64_7967 e-exp-1_binary64_7966 exp-1-e_binary64_7964 exp-0_binary64_7963 rem-log-exp_binary64_7962 rem-exp-log_binary64_7961 cube-mult_binary64_7951 cube-div_binary64_7950 cube-neg_binary64_7948 rem-3cbrt-rft_binary64_7947 rem-cbrt-cube_binary64_7945 rem-cube-cbrt_binary64_7944 sqr-abs_binary64_7936 sqr-neg_binary64_7935 rem-square-sqrt_binary64_7933 div-sub_binary64_7926 unsub-neg_binary64_7915 /-rgt-identity_binary64_7912 *-rgt-identity_binary64_7911 *-lft-identity_binary64_7910 remove-double-neg_binary64_7909 sub0-neg_binary64_7908 --rgt-identity_binary64_7907 +-lft-identity_binary64_7905 mul0-rgt_binary64_7904 mul0-lft_binary64_7903 div0_binary64_7902 +-inverses_binary64_7900 lft-mult-inverse_binary64_7899 rgt-mult-inverse_binary64_7898 remove-double-div_binary64_7897 difference-of-sqr--1_binary64_7892 difference-of-sqr-1_binary64_7891 difference-of-squares_binary64_7890 swap-sqr_binary64_7888 cancel-sign-sub_binary64_7886 distribute-neg-frac_binary64_7885 distribute-frac-neg_binary64_7884 distribute-neg-out_binary64_7883 distribute-neg-in_binary64_7882 distribute-lft1-in_binary64_7876 distribute-rgt-out--_binary64_7875 distribute-lft-out--_binary64_7873 associate-/r/_binary64_7867 associate-/r*_binary64_7865 associate--r-_binary64_7860 associate--l-_binary64_7859 associate--l+_binary64_7858 associate--r+_binary64_7857 associate-+l-_binary64_7856 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 340 |
| 1 | 60 | 336 |
| 2 | 152 | 336 |
| 3 | 398 | 336 |
| 4 | 1293 | 336 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 0 | 24 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 24 | 7 | 31 |
Compiled 624 to 277 computations (55.6% saved)
Found 4 expressions with local error:
| 0.5b | (cbrt.f64 y) |
| 0.5b | (cbrt.f64 y) |
| 0.5b | (cbrt.f64 y) |
| 5.7b | (log.f64 (/.f64 x (cbrt.f64 y))) |
| 1× | rewrite-expression-head |
| 22× | log-prod_binary64_8007 |
| 20× | add-cube-cbrt_binary64_7956 add-sqr-sqrt_binary64_7943 *-un-lft-identity_binary64_7921 |
| 18× | times-frac_binary64_7927 cbrt-prod_binary64_7952 |
| 7× | add-exp-log_binary64_7959 |
| 5× | pow1_binary64_7982 |
| 4× | add-log-exp_binary64_7960 add-cbrt-cube_binary64_7957 |
| 3× | pow1/3_binary64_8003 |
| 2× | rem-log-exp_binary64_7962 |
| 1× | log-pow_binary64_8010 log-div_binary64_8008 div-inv_binary64_7918 div-exp_binary64_7972 |
4 calls:
| 4.0ms | (log.f64 (/.f64 x (cbrt.f64 y))) |
| 1.0ms | (cbrt.f64 y) |
| 1.0ms | (cbrt.f64 y) |
| 1.0ms | (cbrt.f64 y) |
Compiled 1528 to 460 computations (69.9% saved)
4 calls:
| 461.0ms | (log.f64 (/.f64 x (cbrt.f64 y))) |
| 139.0ms | (cbrt.f64 y) |
| 121.0ms | (cbrt.f64 y) |
| 113.0ms | (cbrt.f64 y) |
Compiled 927 to 657 computations (29.1% saved)
| 1× | egg-herbie |
| 504× | log-prod_binary64_8007 |
| 480× | log-div_binary64_8008 |
| 345× | times-frac_binary64_7927 |
| 336× | associate-*l*_binary64_7862 |
| 260× | sub-neg_binary64_7914 |
| 231× | associate-*r*_binary64_7861 |
| 228× | associate-/r*_binary64_7865 |
| 163× | associate-/l*_binary64_7866 |
| 145× | exp-sum_binary64_7967 |
| 141× | exp-prod_binary64_7973 |
| 128× | cancel-sign-sub-inv_binary64_7887 |
| 116× | unsub-neg_binary64_7915 |
| 104× | *-commutative_binary64_7852 |
| 95× | associate-/l/_binary64_7868 |
| 91× | associate-+l-_binary64_7856 |
| 85× | associate-+r+_binary64_7853 |
| 83× | log-rec_binary64_8009 distribute-rgt-in_binary64_7871 |
| 71× | exp-to-pow_binary64_7983 associate-+l+_binary64_7854 |
| 69× | neg-mul-1_binary64_7917 |
| 68× | distribute-lft-in_binary64_7870 |
| 67× | associate--l-_binary64_7859 associate--r+_binary64_7857 |
| 63× | unswap-sqr_binary64_7889 |
| 62× | +-commutative_binary64_7851 |
| 59× | log-pow_binary64_8010 |
| 58× | neg-sub0_binary64_7916 associate--l+_binary64_7858 |
| 53× | distribute-lft-neg-in_binary64_7878 |
| 46× | distribute-rgt-neg-in_binary64_7879 |
| 43× | associate-*l/_binary64_7864 associate-*r/_binary64_7863 |
| 42× | sqr-pow_binary64_7893 |
| 37× | exp-diff_binary64_7969 cube-prod_binary64_7949 |
| 34× | div-sub_binary64_7926 |
| 31× | associate-+r-_binary64_7855 |
| 28× | pow-sqr_binary64_7894 |
| 26× | distribute-rgt-out--_binary64_7875 |
| 25× | distribute-rgt-out_binary64_7874 |
| 20× | associate-/r/_binary64_7867 |
| 19× | cube-unmult_binary64_7958 |
| 18× | sub0-neg_binary64_7908 |
| 15× | distribute-lft-out_binary64_7872 count-2_binary64_7869 associate--r-_binary64_7860 |
| 14× | *-rgt-identity_binary64_7911 distribute-rgt-neg-out_binary64_7881 |
| 13× | pow-plus_binary64_7984 distribute-lft-neg-out_binary64_7880 |
| 12× | rem-sqrt-square_binary64_7934 |
| 11× | div-exp_binary64_7972 cube-div_binary64_7950 +-lft-identity_binary64_7905 |
| 10× | distribute-neg-out_binary64_7883 |
| 9× | distribute-lft-out--_binary64_7873 |
| 7× | distribute-neg-in_binary64_7882 |
| 6× | unpow1/3_binary64_7988 exp-sqrt_binary64_7974 |
| 5× | prod-exp_binary64_7970 rem-exp-log_binary64_7961 sqr-neg_binary64_7935 /-rgt-identity_binary64_7912 |
| 4× | distribute-rgt1-in_binary64_7877 |
| 3× | unpow3_binary64_7987 rem-log-exp_binary64_7962 --rgt-identity_binary64_7907 |
| 2× | cube-neg_binary64_7948 mul-1-neg_binary64_7913 remove-double-neg_binary64_7909 +-rgt-identity_binary64_7906 +-inverses_binary64_7900 swap-sqr_binary64_7888 distribute-neg-frac_binary64_7885 |
| 1× | pow-base-1_binary64_7981 exp-lft-sqr_binary64_7976 rec-exp_binary64_7971 1-exp_binary64_7965 exp-1-e_binary64_7964 rem-3cbrt-lft_binary64_7946 rem-cbrt-cube_binary64_7945 *-lft-identity_binary64_7910 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_8184 erf-erfc_binary64_8183 erf-odd_binary64_8182 if-if-and-not_binary64_8181 if-if-and_binary64_8180 if-if-or-not_binary64_8179 if-if-or_binary64_8178 if-not_binary64_8177 if-same_binary64_8176 if-false_binary64_8175 if-true_binary64_8174 not-gte_binary64_8173 not-lte_binary64_8172 not-gt_binary64_8171 not-lt_binary64_8170 gte-same_binary64_8169 lte-same_binary64_8168 gt-same_binary64_8167 lt-same_binary64_8166 sinh---cosh_binary64_8113 sinh-+-cosh_binary64_8112 sinh-cosh_binary64_8111 tanh-def-c_binary64_8110 tanh-def-b_binary64_8109 tanh-def-a_binary64_8108 cosh-def_binary64_8107 sinh-def_binary64_8106 tan-neg_binary64_8053 cos-neg_binary64_8052 sin-neg_binary64_8051 tan-0_binary64_8050 cos-0_binary64_8049 sin-0_binary64_8048 hang-m-tan_binary64_8047 hang-p-tan_binary64_8046 hang-m0-tan_binary64_8045 hang-p0-tan_binary64_8044 hang-0m-tan_binary64_8043 hang-0p-tan_binary64_8042 tan-+PI/2_binary64_8041 tan-+PI_binary64_8040 tan-PI_binary64_8039 tan-PI/3_binary64_8038 tan-PI/4_binary64_8037 tan-PI/6_binary64_8036 cos-+PI/2_binary64_8035 cos-+PI_binary64_8034 cos-PI_binary64_8033 cos-PI/2_binary64_8032 cos-PI/3_binary64_8031 cos-PI/4_binary64_8030 cos-PI/6_binary64_8029 sin-+PI/2_binary64_8028 sin-+PI_binary64_8027 sin-PI_binary64_8026 sin-PI/2_binary64_8025 sin-PI/3_binary64_8024 sin-PI/4_binary64_8023 sin-PI/6_binary64_8022 sub-1-sin_binary64_8021 sub-1-cos_binary64_8020 -1-add-sin_binary64_8019 -1-add-cos_binary64_8018 1-sub-sin_binary64_8017 1-sub-cos_binary64_8016 cos-sin-sum_binary64_8015 log-E_binary64_8011 pow-base-0_binary64_8005 unpow2_binary64_7986 unpow1/2_binary64_7985 unpow0_binary64_7980 unpow1_binary64_7979 unpow-1_binary64_7978 exp-lft-cube_binary64_7977 exp-cbrt_binary64_7975 exp-neg_binary64_7968 e-exp-1_binary64_7966 exp-0_binary64_7963 cube-mult_binary64_7951 rem-3cbrt-rft_binary64_7947 rem-cube-cbrt_binary64_7944 sqr-abs_binary64_7936 rem-square-sqrt_binary64_7933 mul0-rgt_binary64_7904 mul0-lft_binary64_7903 div0_binary64_7902 *-inverses_binary64_7901 lft-mult-inverse_binary64_7899 rgt-mult-inverse_binary64_7898 remove-double-div_binary64_7897 difference-of-sqr--1_binary64_7892 difference-of-sqr-1_binary64_7891 difference-of-squares_binary64_7890 cancel-sign-sub_binary64_7886 distribute-frac-neg_binary64_7884 distribute-lft1-in_binary64_7876 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 969 |
| 1 | 222 | 939 |
| 2 | 496 | 897 |
| 3 | 1152 | 849 |
| 4 | 3612 | 849 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 0 | 86 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 86 | 7 | 93 |
Compiled 2011 to 652 computations (67.6% saved)
Total 0.2b remaining (98.1%)
Threshold costs 0.2b (98.1%)
Compiled 7314 to 5054 computations (30.9% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64_7852 |
| 3× | +-commutative_binary64_7851 |
| 2× | sub-neg_binary64_7914 |
| 1× | neg-mul-1_binary64_7917 neg-sub0_binary64_7916 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_8181 if-if-and_binary64_8180 if-if-or-not_binary64_8179 if-if-or_binary64_8178 if-not_binary64_8177 if-same_binary64_8176 if-false_binary64_8175 if-true_binary64_8174 tan-0_binary64_8050 cos-0_binary64_8049 sin-0_binary64_8048 unpow1_binary64_7979 e-exp-1_binary64_7966 1-exp_binary64_7965 exp-1-e_binary64_7964 exp-0_binary64_7963 sqr-abs_binary64_7936 sqr-neg_binary64_7935 unsub-neg_binary64_7915 mul-1-neg_binary64_7913 /-rgt-identity_binary64_7912 *-rgt-identity_binary64_7911 *-lft-identity_binary64_7910 remove-double-neg_binary64_7909 sub0-neg_binary64_7908 --rgt-identity_binary64_7907 +-rgt-identity_binary64_7906 +-lft-identity_binary64_7905 cancel-sign-sub-inv_binary64_7887 cancel-sign-sub_binary64_7886 distribute-neg-frac_binary64_7885 distribute-frac-neg_binary64_7884 distribute-neg-out_binary64_7883 distribute-neg-in_binary64_7882 distribute-rgt-neg-out_binary64_7881 distribute-lft-neg-out_binary64_7880 distribute-rgt-neg-in_binary64_7879 distribute-lft-neg-in_binary64_7878 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 34 |
| 1 | 20 | 34 |
| 2 | 25 | 34 |
| 3 | 27 | 34 |
| 4 | 28 | 34 |
(- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (/ f64 (cbrt f64 h0) (cbrt f64 h1))))) (=> (* f64 (log f64 (/ f64 (cbrt f64 h0) (cbrt f64 h1))) h0))) h2)
*-commutative_binary64_7852 =>
(- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (/ f64 (cbrt f64 h0) (cbrt f64 h1))))) (* f64 h0 (log f64 (/ f64 (cbrt f64 h0) (cbrt f64 h1))))) h2) |
| 1× | intervals |
| 592.0ms | 8000× | body | 128 | valid |
| 30.0ms | 732× | body | 128 | nan |
| 1.0ms | 29× | body | 128 | invalid |
Compiled 1468 to 1017 computations (30.7% saved)
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