Time bar (total: 3.2s)
| 1× | search |
| 2× | egg-herbie |
| 724× | sub-neg_binary64 |
| 708× | div-sub_binary64 |
| 646× | associate-/l*_binary64 |
| 593× | cancel-sign-sub-inv_binary64 |
| 423× | distribute-neg-frac_binary64 |
| 403× | distribute-frac-neg_binary64 |
| 349× | unsub-neg_binary64 |
| 289× | distribute-rgt-in_binary64 |
| 283× | neg-mul-1_binary64 |
| 237× | neg-sub0_binary64 |
| 179× | cancel-sign-sub_binary64 |
| 165× | associate--r+_binary64 |
| 123× | +-commutative_binary64 |
| 112× | distribute-lft-in_binary64 |
| 103× | associate-+r-_binary64 |
| 102× | distribute-neg-in_binary64 |
| 98× | associate-/r*_binary64 |
| 85× | associate--r-_binary64 |
| 80× | distribute-rgt-neg-in_binary64 associate-+r+_binary64 |
| 79× | +-lft-identity_binary64 |
| 77× | distribute-lft-neg-out_binary64 |
| 74× | distribute-lft-neg-in_binary64 |
| 69× | associate--l+_binary64 |
| 64× | associate-+l-_binary64 |
| 61× | associate-/l/_binary64 |
| 60× | associate-/r/_binary64 |
| 58× | sub0-neg_binary64 |
| 55× | remove-double-neg_binary64 |
| 54× | times-frac_binary64 |
| 53× | distribute-rgt-neg-out_binary64 |
| 51× | *-commutative_binary64 |
| 43× | /-rgt-identity_binary64 |
| 37× | *-lft-identity_binary64 |
| 33× | +-rgt-identity_binary64 associate-+l+_binary64 |
| 30× | associate--l-_binary64 |
| 28× | distribute-rgt-out--_binary64 |
| 24× | associate-*l/_binary64 |
| 22× | *-rgt-identity_binary64 |
| 20× | distribute-lft-out_binary64 |
| 18× | associate-*r/_binary64 |
| 15× | --rgt-identity_binary64 |
| 13× | mul0-rgt_binary64 mul0-lft_binary64 |
| 8× | div0_binary64 |
| 6× | remove-double-div_binary64 |
| 3× | distribute-neg-out_binary64 distribute-lft-out--_binary64 |
| 1× | 1-exp_binary64 distribute-rgt-out_binary64 swap-x-y |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-*l*_binary64 associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 91 |
| 1 | 89 | 91 |
| 2 | 207 | 91 |
| 3 | 329 | 91 |
| 4 | 645 | 91 |
| 5 | 1434 | 91 |
| 6 | 2541 | 91 |
| 7 | 4520 | 91 |
| 8 | 4577 | 91 |
| 9 | 5189 | 91 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| 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 |
| 0% | 99.8% | 0.2% | 8 |
| 49.1% | 50.7% | 0.2% | 9 |
| 49.5% | 50.3% | 0.2% | 10 |
| 49.7% | 50.1% | 0.2% | 11 |
| 50.2% | 49.6% | 0.2% | 12 |
| 60.5% | 39.3% | 0.2% | 13 |
| 60.6% | 37.9% | 1.4% | 14 |
(sort x y)
Compiled 10 to 10 computations (0% saved)
| 1× | intervals |
| 8.0ms | 256× | body | 128 | valid |
| 3.0ms | 98× | body | 128 | invalid |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | egg-herbie |
| 465× | distribute-rgt-in_binary64 |
| 442× | div-sub_binary64 |
| 329× | cancel-sign-sub-inv_binary64 associate-/l*_binary64 |
| 321× | distribute-lft-in_binary64 |
| 320× | unsub-neg_binary64 |
| 317× | times-frac_binary64 |
| 194× | sub-neg_binary64 |
| 168× | associate-/r/_binary64 |
| 162× | associate-/r*_binary64 |
| 158× | associate-*l/_binary64 |
| 133× | associate-/l/_binary64 |
| 128× | distribute-neg-frac_binary64 |
| 101× | distribute-rgt-neg-out_binary64 |
| 97× | distribute-rgt-neg-in_binary64 |
| 92× | neg-mul-1_binary64 |
| 91× | distribute-neg-in_binary64 |
| 80× | associate-*l*_binary64 |
| 72× | neg-sub0_binary64 distribute-lft-neg-out_binary64 |
| 71× | distribute-lft-neg-in_binary64 associate-*r*_binary64 |
| 70× | associate-*r/_binary64 |
| 63× | associate--r+_binary64 |
| 54× | +-commutative_binary64 |
| 53× | associate--r-_binary64 |
| 41× | *-commutative_binary64 |
| 36× | associate-+l-_binary64 |
| 33× | +-lft-identity_binary64 associate-+l+_binary64 |
| 32× | mul0-rgt_binary64 mul0-lft_binary64 |
| 30× | *-lft-identity_binary64 cancel-sign-sub_binary64 |
| 26× | associate--l+_binary64 |
| 25× | associate--l-_binary64 |
| 24× | remove-double-neg_binary64 associate-+r+_binary64 |
| 22× | associate-+r-_binary64 |
| 21× | sub0-neg_binary64 |
| 18× | div0_binary64 |
| 17× | *-rgt-identity_binary64 |
| 14× | distribute-frac-neg_binary64 |
| 9× | +-rgt-identity_binary64 |
| 4× | /-rgt-identity_binary64 |
| 1× | 1-exp_binary64 --rgt-identity_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 21 | 13 |
| 2 | 45 | 13 |
| 3 | 69 | 13 |
| 4 | 131 | 13 |
| 5 | 242 | 13 |
| 6 | 464 | 13 |
| 7 | 832 | 13 |
| 8 | 1340 | 13 |
| 9 | 1858 | 13 |
| 10 | 1821 | 13 |
| 11 | 1817 | 13 |
| 12 | 1813 | 13 |
| 13 | 1814 | 13 |
| 14 | 1814 | 13 |
| 15 | 2206 | 13 |
| 16 | 1870 | 13 |
| 17 | 1870 | 13 |
| 18 | 1870 | 13 |
| 19 | 1744 | 13 |
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 9 to 9 computations (0% saved)
Found 1 expressions with local error:
| 0.3b | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
| 1× | rewrite-expression-head |
| 13× | *-un-lft-identity_binary64 |
| 7× | add-sqr-sqrt_binary64 |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64 associate-/l*_binary64 |
| 4× | distribute-lft-out--_binary64 |
| 3× | add-cube-cbrt_binary64 |
| 2× | div-exp_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 distribute-lft-out_binary64 associate-/l/_binary64 |
| 1× | pow1_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64 associate-/r*_binary64 |
1 calls:
| 9.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
Compiled 450 to 176 computations (60.9% saved)
1 calls:
| 61.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
Compiled 538 to 475 computations (11.7% saved)
| 1× | egg-herbie |
| 523× | associate-/r/_binary64 |
| 380× | div-sub_binary64 |
| 286× | distribute-rgt-in_binary64 |
| 271× | distribute-lft-in_binary64 |
| 243× | neg-mul-1_binary64 |
| 241× | neg-sub0_binary64 |
| 200× | associate-/l*_binary64 |
| 189× | times-frac_binary64 |
| 165× | associate-*l*_binary64 |
| 138× | associate-/r*_binary64 |
| 128× | *-commutative_binary64 |
| 120× | associate-*r*_binary64 |
| 119× | sub-neg_binary64 |
| 117× | associate-*l/_binary64 |
| 100× | associate-*r/_binary64 |
| 95× | distribute-rgt-neg-out_binary64 |
| 89× | distribute-lft-neg-out_binary64 |
| 80× | associate-/l/_binary64 |
| 77× | cancel-sign-sub-inv_binary64 |
| 70× | associate-+l+_binary64 |
| 64× | distribute-rgt-out_binary64 |
| 61× | associate-+r+_binary64 |
| 48× | distribute-neg-in_binary64 +-commutative_binary64 |
| 45× | distribute-rgt-neg-in_binary64 |
| 41× | unsub-neg_binary64 |
| 38× | distribute-lft-out_binary64 |
| 28× | distribute-lft-neg-in_binary64 |
| 27× | distribute-frac-neg_binary64 |
| 18× | distribute-neg-frac_binary64 |
| 15× | associate--r+_binary64 |
| 14× | distribute-rgt-out--_binary64 associate-+l-_binary64 |
| 13× | +-rgt-identity_binary64 associate-+r-_binary64 |
| 11× | exp-diff_binary64 |
| 10× | sqr-pow_binary64 distribute-lft-out--_binary64 associate--l+_binary64 |
| 7× | sub0-neg_binary64 swap-sqr_binary64 |
| 6× | exp-sum_binary64 |
| 5× | log-div_binary64 log-prod_binary64 cube-prod_binary64 associate--r-_binary64 |
| 4× | exp-sqrt_binary64 cube-unmult_binary64 mul-1-neg_binary64 |
| 3× | cube-div_binary64 sqr-neg_binary64 remove-double-neg_binary64 |
| 2× | unpow3_binary64 exp-prod_binary64 |
| 1× | exp-neg_binary64 1-exp_binary64 cube-mult_binary64 cube-neg_binary64 --rgt-identity_binary64 div0_binary64 distribute-neg-out_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 918 |
| 1 | 265 | 797 |
| 2 | 810 | 756 |
| 3 | 2773 | 720 |
| 4 | 4655 | 720 |
| 5 | 5057 | 720 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 4 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 4 | 44 |
Compiled 408 to 187 computations (54.2% saved)
Found 1 expressions with local error:
| 0.0b | (/.f64 (+.f64 y (-.f64 x z)) t) |
| 1× | rewrite-expression-head |
| 31× | *-un-lft-identity_binary64 |
| 15× | times-frac_binary64 |
| 11× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 |
| 8× | distribute-lft-out_binary64 |
| 5× | associate-/l*_binary64 |
| 4× | distribute-lft-out--_binary64 |
| 3× | add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r*_binary64 |
| 2× | associate-/l/_binary64 |
| 1× | pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 associate-+r-_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64 |
1 calls:
| 8.0ms | (/.f64 (+.f64 y (-.f64 x z)) t) |
Compiled 527 to 167 computations (68.3% saved)
1 calls:
| 45.0ms | (/.f64 (+.f64 y (-.f64 x z)) t) |
Compiled 431 to 371 computations (13.9% saved)
| 1× | egg-herbie |
| 480× | times-frac_binary64 |
| 439× | unsub-neg_binary64 |
| 397× | associate-/l*_binary64 |
| 382× | div-sub_binary64 |
| 352× | associate-*l/_binary64 |
| 305× | neg-sub0_binary64 |
| 298× | distribute-rgt-in_binary64 |
| 282× | distribute-lft-in_binary64 |
| 276× | neg-mul-1_binary64 |
| 184× | associate-/r*_binary64 |
| 158× | associate-/l/_binary64 |
| 139× | distribute-rgt-neg-out_binary64 |
| 133× | distribute-lft-neg-out_binary64 |
| 121× | sub-neg_binary64 |
| 117× | associate-/r/_binary64 |
| 76× | *-commutative_binary64 |
| 59× | associate-*r/_binary64 |
| 56× | distribute-frac-neg_binary64 associate-*l*_binary64 |
| 53× | cancel-sign-sub-inv_binary64 |
| 44× | log-div_binary64 cube-div_binary64 distribute-rgt-out_binary64 associate-*r*_binary64 |
| 43× | distribute-neg-in_binary64 |
| 40× | associate-+l+_binary64 |
| 39× | exp-prod_binary64 associate-+r+_binary64 |
| 38× | cube-prod_binary64 |
| 36× | exp-diff_binary64 |
| 31× | log-prod_binary64 exp-sum_binary64 |
| 28× | +-commutative_binary64 |
| 22× | associate-+r-_binary64 |
| 21× | distribute-rgt-neg-in_binary64 |
| 20× | associate-+l-_binary64 |
| 19× | distribute-lft-neg-in_binary64 |
| 16× | associate--r+_binary64 |
| 15× | +-rgt-identity_binary64 |
| 14× | /-rgt-identity_binary64 |
| 13× | distribute-neg-frac_binary64 associate--l+_binary64 |
| 9× | sqr-neg_binary64 |
| 7× | unpow3_binary64 cube-unmult_binary64 cube-neg_binary64 mul-1-neg_binary64 sub0-neg_binary64 sqr-pow_binary64 |
| 6× | log-rec_binary64 remove-double-neg_binary64 swap-sqr_binary64 distribute-neg-out_binary64 distribute-rgt-out--_binary64 associate--r-_binary64 |
| 5× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 4× | associate--l-_binary64 |
| 3× | cube-mult_binary64 |
| 2× | --rgt-identity_binary64 |
| 1× | 1-exp_binary64 div0_binary64 pow-sqr_binary64 count-2_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 892 |
| 1 | 179 | 848 |
| 2 | 515 | 848 |
| 3 | 1658 | 803 |
| 4 | 3950 | 803 |
| 5 | 5055 | 803 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 2 | 48 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 47 | 5 | 52 |
Compiled 476 to 177 computations (62.8% saved)
Found 1 expressions with local error:
| 0.2b | (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) |
| 1× | rewrite-expression-head |
| 16× | add-sqr-sqrt_binary64 |
| 14× | *-un-lft-identity_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 9× | add-cube-cbrt_binary64 |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64 |
| 3× | pow1_binary64 |
| 2× | prod-exp_binary64 cbrt-unprod_binary64 flip3--_binary64 frac-times_binary64 flip--_binary64 unswap-sqr_binary64 associate-*l/_binary64 distribute-lft-out--_binary64 |
| 1× | pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out_binary64 div-inv_binary64 *-commutative_binary64 |
1 calls:
| 12.0ms | (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) |
Compiled 658 to 282 computations (57.1% saved)
1 calls:
| 60.0ms | (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) |
Compiled 538 to 475 computations (11.7% saved)
| 1× | egg-herbie |
| 656× | distribute-rgt-in_binary64 |
| 636× | distribute-lft-in_binary64 |
| 519× | times-frac_binary64 |
| 300× | associate-*r/_binary64 |
| 292× | associate-*l/_binary64 |
| 172× | associate-/l*_binary64 |
| 74× | associate-*l*_binary64 |
| 67× | *-commutative_binary64 |
| 57× | associate-*r*_binary64 |
| 55× | exp-prod_binary64 |
| 54× | associate-/l/_binary64 |
| 50× | exp-sum_binary64 |
| 44× | associate-/r*_binary64 |
| 43× | sub-neg_binary64 associate-/r/_binary64 |
| 34× | cancel-sign-sub-inv_binary64 |
| 28× | +-commutative_binary64 |
| 27× | distribute-lft-neg-out_binary64 |
| 25× | div-sub_binary64 |
| 22× | log-prod_binary64 distribute-rgt-neg-out_binary64 |
| 21× | *-rgt-identity_binary64 |
| 20× | cube-prod_binary64 *-lft-identity_binary64 |
| 19× | neg-sub0_binary64 distribute-rgt-neg-in_binary64 |
| 17× | neg-mul-1_binary64 sqr-pow_binary64 |
| 14× | log-div_binary64 distribute-lft-neg-in_binary64 |
| 13× | cube-div_binary64 |
| 12× | associate-+l+_binary64 |
| 11× | distribute-neg-in_binary64 |
| 10× | exp-diff_binary64 associate--l+_binary64 |
| 8× | distribute-rgt-out_binary64 |
| 7× | distribute-rgt-out--_binary64 |
| 6× | unpow3_binary64 cube-mult_binary64 /-rgt-identity_binary64 swap-sqr_binary64 distribute-neg-frac_binary64 associate-+r+_binary64 |
| 5× | distribute-lft-out--_binary64 |
| 4× | cube-unmult_binary64 unsub-neg_binary64 distribute-lft-out_binary64 |
| 3× | log-rec_binary64 exp-neg_binary64 sqr-neg_binary64 mul-1-neg_binary64 difference-of-squares_binary64 |
| 2× | unpow1/2_binary64 associate--r+_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 pow-sqr_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1134 |
| 1 | 316 | 1005 |
| 2 | 1179 | 909 |
| 3 | 4472 | 909 |
| 4 | 5114 | 909 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 1 | 51 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 51 | 5 | 56 |
Compiled 604 to 271 computations (55.1% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 t) (cbrt.f64 t)) |
| 0.5b | (cbrt.f64 t) |
| 0.5b | (cbrt.f64 t) |
| 0.5b | (cbrt.f64 t) |
| 1× | rewrite-expression-head |
| 25× | cbrt-prod_binary64 |
| 23× | add-sqr-sqrt_binary64 |
| 15× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 11× | pow1_binary64 |
| 9× | pow1/3_binary64 |
| 6× | add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 |
| 2× | pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 |
| 1× | pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 |
4 calls:
| 7.0ms | (*.f64 (cbrt.f64 t) (cbrt.f64 t)) |
| 1.0ms | (cbrt.f64 t) |
| 1.0ms | (cbrt.f64 t) |
| 1.0ms | (cbrt.f64 t) |
Compiled 1419 to 417 computations (70.6% saved)
4 calls:
| 19.0ms | (*.f64 (cbrt.f64 t) (cbrt.f64 t)) |
| 18.0ms | (cbrt.f64 t) |
| 17.0ms | (cbrt.f64 t) |
| 16.0ms | (cbrt.f64 t) |
Compiled 596 to 465 computations (22% saved)
| 1× | egg-herbie |
| 850× | log-prod_binary64 |
| 525× | unswap-sqr_binary64 |
| 346× | sqr-pow_binary64 |
| 307× | distribute-rgt-neg-in_binary64 |
| 298× | associate-*l*_binary64 |
| 290× | distribute-lft-neg-in_binary64 |
| 249× | *-commutative_binary64 |
| 246× | distribute-lft-out_binary64 |
| 228× | exp-prod_binary64 |
| 201× | associate-*r*_binary64 |
| 181× | cube-prod_binary64 |
| 164× | fabs-mul_binary64 |
| 151× | swap-sqr_binary64 |
| 137× | log-pow_binary64 |
| 112× | cancel-sign-sub-inv_binary64 distribute-rgt-out_binary64 |
| 103× | pow-sqr_binary64 |
| 100× | log-div_binary64 |
| 98× | associate-/l*_binary64 |
| 77× | neg-mul-1_binary64 |
| 58× | neg-sub0_binary64 |
| 57× | rem-sqrt-square_binary64 |
| 55× | associate-+l+_binary64 |
| 50× | associate-+r+_binary64 |
| 48× | distribute-rgt-in_binary64 |
| 46× | times-frac_binary64 |
| 45× | distribute-lft-in_binary64 |
| 43× | unpow3_binary64 |
| 41× | associate-/r/_binary64 |
| 39× | pow-plus_binary64 |
| 35× | associate-*r/_binary64 |
| 33× | associate-/r*_binary64 |
| 32× | associate-/l/_binary64 |
| 28× | cube-mult_binary64 +-commutative_binary64 |
| 25× | sub-neg_binary64 |
| 24× | fabs-sqr_binary64 |
| 20× | cube-unmult_binary64 *-rgt-identity_binary64 |
| 19× | *-lft-identity_binary64 count-2_binary64 |
| 17× | cube-div_binary64 fabs-div_binary64 distribute-neg-frac_binary64 |
| 16× | distribute-rgt1-in_binary64 |
| 9× | associate-*l/_binary64 |
| 8× | unpow1/2_binary64 |
| 7× | distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 |
| 6× | unpow2_binary64 |
| 5× | unpow1_binary64 distribute-lft-neg-out_binary64 |
| 4× | rem-cbrt-cube_binary64 mul-1-neg_binary64 |
| 3× | unpow1/3_binary64 |
| 2× | exp-sqrt_binary64 rem-3cbrt-lft_binary64 fabs-fabs_binary64 |
| 1× | log-rec_binary64 exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-+l-_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 fabs-neg_binary64 fabs-sub_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 642 |
| 1 | 97 | 594 |
| 2 | 309 | 574 |
| 3 | 800 | 560 |
| 4 | 1864 | 436 |
| 5 | 2894 | 436 |
| 6 | 4605 | 436 |
| 7 | 4971 | 436 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 0 | 60 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 60 | 5 | 65 |
Compiled 525 to 228 computations (56.6% saved)
Total 0.0b remaining (85.4%)
Threshold costs 0.0b (85.4%)
Compiled 7818 to 6052 computations (22.6% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | sub-neg_binary64 *-commutative_binary64 |
| 1× | neg-mul-1_binary64 neg-sub0_binary64 |
| 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 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 14 | 13 |
| 2 | 19 | 13 |
| 3 | 21 | 13 |
| 4 | 22 | 13 |
| 5 | 22 | 13 |
(sort x y)
Compiled 27 to 27 computations (0% saved)
| 1× | intervals |
| 259.0ms | 8000× | body | 128 | valid |
| 88.0ms | 2647× | body | 128 | invalid |
Compiled 93 to 78 computations (16.1% saved)
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