Time bar (total: 3.8s)
| 1× | search |
| 2× | egg-herbie |
| 20× | +-commutative_binary64 |
| 12× | associate-+l+_binary64 associate-+r+_binary64 |
| 4× | *-commutative_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 1-exp_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 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_binary64 div0_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 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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 56 |
| 1 | 42 | 56 |
| 2 | 66 | 56 |
| 3 | 66 | 56 |
| 4 | 66 | 56 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 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 |
| 12.5% | 87.4% | 0.1% | 6 |
| 34.3% | 65.5% | 0.1% | 7 |
| 46.8% | 53% | 0.1% | 8 |
| 48% | 51.9% | 0.1% | 9 |
| 63% | 36.9% | 0.1% | 10 |
| 71.7% | 28.2% | 0.1% | 11 |
| 72% | 27.8% | 0.1% | 12 |
| 80.5% | 19.4% | 0.1% | 13 |
| 85.4% | 14.5% | 0.1% | 14 |
Compiled 10 to 9 computations (10% saved)
| 1× | intervals |
| 12.0ms | 190× | body | 128 | valid |
| 10.0ms | 37× | body | 1024 | valid |
| 4.0ms | 18× | body | 512 | valid |
| 2.0ms | 11× | body | 256 | valid |
Compiled 19 to 20 computations (-5.3% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 3× | associate-+l+_binary64 associate-+r+_binary64 |
| 1× | *-commutative_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 1-exp_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 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_binary64 div0_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 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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 14 | 14 |
| 2 | 20 | 14 |
| 3 | 20 | 14 |
| 4 | 20 | 14 |
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 8 computations (11.1% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 x (sin.f64 y)) |
| 0.0b | (sin.f64 y) |
| 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0.1b | (*.f64 z (cos.f64 y)) |
| 1× | rewrite-expression-head |
| 11× | add-log-exp_binary64 |
| 8× | add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 6× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 |
| 4× | sum-log_binary64 |
| 3× | associate-*l*_binary64 associate-*r*_binary64 |
| 2× | flip3-+_binary64 flip-+_binary64 +-commutative_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 associate-+l+_binary64 distribute-lft-out_binary64 |
4 calls:
| 6.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 5.0ms | (*.f64 z (cos.f64 y)) |
| 3.0ms | (+.f64 x (sin.f64 y)) |
| 1.0ms | (sin.f64 y) |
Compiled 737 to 179 computations (75.7% saved)
4 calls:
| 39.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 19.0ms | (*.f64 z (cos.f64 y)) |
| 17.0ms | (+.f64 x (sin.f64 y)) |
| 7.0ms | (sin.f64 y) |
Compiled 724 to 574 computations (20.7% saved)
| 1× | egg-herbie |
| 552× | sub-neg_binary64 |
| 344× | +-commutative_binary64 |
| 299× | distribute-rgt-neg-in_binary64 |
| 285× | distribute-rgt-in_binary64 |
| 279× | neg-mul-1_binary64 |
| 265× | associate-*l*_binary64 |
| 261× | distribute-lft-in_binary64 |
| 241× | distribute-lft-neg-in_binary64 |
| 228× | neg-sub0_binary64 |
| 223× | associate-*r*_binary64 |
| 160× | associate-+l-_binary64 |
| 152× | associate--l+_binary64 |
| 150× | cancel-sign-sub-inv_binary64 |
| 125× | associate--r+_binary64 |
| 117× | associate-+l+_binary64 |
| 115× | *-commutative_binary64 |
| 110× | distribute-neg-in_binary64 |
| 105× | distribute-rgt-out_binary64 |
| 100× | unsub-neg_binary64 |
| 91× | associate-+r-_binary64 |
| 88× | unswap-sqr_binary64 |
| 85× | associate-+r+_binary64 |
| 75× | sqr-pow_binary64 |
| 65× | sub0-neg_binary64 |
| 51× | distribute-lft-neg-out_binary64 |
| 42× | distribute-rgt-out--_binary64 |
| 38× | +-rgt-identity_binary64 |
| 34× | distribute-lft-out_binary64 |
| 32× | distribute-rgt-neg-out_binary64 |
| 29× | *-lft-identity_binary64 |
| 28× | cancel-sign-sub_binary64 |
| 27× | *-rgt-identity_binary64 |
| 26× | exp-prod_binary64 cube-prod_binary64 |
| 20× | unpow3_binary64 |
| 19× | cube-unmult_binary64 |
| 18× | distribute-neg-out_binary64 |
| 17× | log-prod_binary64 |
| 14× | swap-sqr_binary64 |
| 13× | exp-sum_binary64 distribute-lft-out--_binary64 |
| 12× | pow-sqr_binary64 |
| 10× | pow-plus_binary64 rem-sqrt-square_binary64 |
| 9× | associate--r-_binary64 |
| 8× | difference-of-squares_binary64 |
| 7× | exp-diff_binary64 |
| 6× | remove-double-neg_binary64 associate--l-_binary64 |
| 5× | unpow1/2_binary64 prod-exp_binary64 cube-mult_binary64 |
| 3× | cube-neg_binary64 div-sub_binary64 distribute-rgt1-in_binary64 |
| 2× | --rgt-identity_binary64 associate-/l*_binary64 |
| 1× | unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 sqr-neg_binary64 count-2_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 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 949 |
| 1 | 267 | 920 |
| 2 | 743 | 917 |
| 3 | 2323 | 917 |
| 4 | 3563 | 917 |
| 5 | 4702 | 917 |
| 6 | 4995 | 917 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 4 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 5 | 53 |
Compiled 568 to 177 computations (68.8% saved)
Found 4 expressions with local error:
| 0.5b | (cbrt.f64 z) |
| 0.5b | (cbrt.f64 z) |
| 0.5b | (cbrt.f64 z) |
| 0.5b | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 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:
| 6.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 1.0ms | (cbrt.f64 z) |
| 1.0ms | (cbrt.f64 z) |
| 1.0ms | (cbrt.f64 z) |
Compiled 1419 to 304 computations (78.6% saved)
4 calls:
| 20.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 18.0ms | (cbrt.f64 z) |
| 16.0ms | (cbrt.f64 z) |
| 16.0ms | (cbrt.f64 z) |
Compiled 596 to 429 computations (28% saved)
| 1× | egg-herbie |
| 586× | log-prod_binary64 |
| 419× | sqr-pow_binary64 |
| 335× | associate-*l*_binary64 |
| 309× | *-commutative_binary64 |
| 283× | distribute-rgt-neg-in_binary64 |
| 262× | distribute-lft-neg-in_binary64 |
| 227× | associate-*r*_binary64 |
| 188× | exp-prod_binary64 |
| 161× | log-pow_binary64 |
| 153× | cube-prod_binary64 |
| 131× | swap-sqr_binary64 |
| 129× | pow-sqr_binary64 |
| 124× | unswap-sqr_binary64 |
| 106× | associate-/l*_binary64 |
| 86× | cancel-sign-sub-inv_binary64 |
| 75× | associate-+l+_binary64 |
| 69× | associate-+r+_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 60× | distribute-lft-out_binary64 |
| 57× | distribute-lft-in_binary64 |
| 55× | neg-sub0_binary64 |
| 54× | neg-mul-1_binary64 |
| 48× | distribute-rgt-out_binary64 |
| 45× | +-commutative_binary64 |
| 43× | pow-plus_binary64 rem-sqrt-square_binary64 |
| 42× | times-frac_binary64 |
| 41× | sub-neg_binary64 |
| 40× | associate-/r/_binary64 |
| 37× | associate-*r/_binary64 |
| 35× | associate-/l/_binary64 |
| 32× | unpow3_binary64 |
| 31× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 29× | count-2_binary64 |
| 27× | cube-mult_binary64 |
| 24× | associate-/r*_binary64 |
| 17× | log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64 distribute-rgt-neg-out_binary64 |
| 13× | cube-unmult_binary64 distribute-rgt1-in_binary64 |
| 10× | unpow1/2_binary64 |
| 9× | distribute-lft-neg-out_binary64 distribute-lft1-in_binary64 associate-*l/_binary64 |
| 8× | unpow2_binary64 |
| 5× | unpow1_binary64 |
| 3× | unpow1/3_binary64 mul-1-neg_binary64 |
| 2× | exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 |
| 1× | exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_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 log-rec_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 sqr-abs_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 | 700 |
| 1 | 97 | 612 |
| 2 | 308 | 592 |
| 3 | 1135 | 578 |
| 4 | 2034 | 548 |
| 5 | 3259 | 548 |
| 6 | 4941 | 548 |
| 7 | 4873 | 548 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 1 | 50 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 49 | 6 | 55 |
Compiled 563 to 212 computations (62.3% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 0.6b | (cbrt.f64 (cbrt.f64 z)) |
| 0.6b | (cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) |
| 0.9b | (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) |
| 1× | rewrite-expression-head |
| 35× | cbrt-prod_binary64 |
| 26× | add-sqr-sqrt_binary64 |
| 18× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 12× | pow1_binary64 |
| 9× | unpow-prod-down_binary64 pow1/3_binary64 |
| 7× | add-exp-log_binary64 |
| 6× | swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 |
| 3× | pow-unpow_binary64 |
| 2× | pow-pow_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 |
| 1× | pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64 pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 |
4 calls:
| 8.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 4.0ms | (cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) |
| 4.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) |
| 1.0ms | (cbrt.f64 (cbrt.f64 z)) |
Compiled 2264 to 661 computations (70.8% saved)
4 calls:
| 31.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) |
| 25.0ms | (cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) |
| 23.0ms | (cbrt.f64 (cbrt.f64 z)) |
| 20.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
Compiled 806 to 581 computations (27.9% saved)
| 1× | egg-herbie |
| 382× | log-prod_binary64 |
| 345× | sqr-pow_binary64 |
| 267× | cube-prod_binary64 |
| 225× | *-commutative_binary64 |
| 188× | exp-prod_binary64 distribute-rgt-neg-in_binary64 |
| 187× | associate-/l*_binary64 |
| 180× | swap-sqr_binary64 |
| 179× | distribute-lft-neg-in_binary64 |
| 168× | distribute-rgt-in_binary64 |
| 167× | unswap-sqr_binary64 |
| 139× | distribute-lft-in_binary64 |
| 118× | pow-sqr_binary64 |
| 113× | associate-+l+_binary64 |
| 108× | associate-/l/_binary64 |
| 96× | log-pow_binary64 |
| 92× | associate-+r+_binary64 |
| 86× | associate-/r/_binary64 |
| 78× | associate-*r*_binary64 |
| 76× | associate-/r*_binary64 associate-*l*_binary64 +-commutative_binary64 |
| 70× | associate-*r/_binary64 |
| 64× | unpow3_binary64 |
| 59× | pow-plus_binary64 cube-mult_binary64 |
| 50× | distribute-rgt-out_binary64 |
| 44× | cancel-sign-sub-inv_binary64 |
| 41× | rem-sqrt-square_binary64 |
| 37× | neg-sub0_binary64 |
| 36× | neg-mul-1_binary64 |
| 35× | distribute-lft-out_binary64 |
| 23× | log-div_binary64 cube-div_binary64 |
| 22× | times-frac_binary64 |
| 20× | unpow1/2_binary64 |
| 17× | unpow2_binary64 cube-unmult_binary64 associate-*l/_binary64 |
| 15× | unpow1_binary64 |
| 14× | sub-neg_binary64 count-2_binary64 |
| 9× | *-rgt-identity_binary64 |
| 7× | *-lft-identity_binary64 |
| 4× | unpow1/3_binary64 |
| 3× | rem-3cbrt-lft_binary64 distribute-rgt1-in_binary64 |
| 2× | exp-sqrt_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 |
| 1× | exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_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 log-rec_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 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-lft-neg-out_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 | 110 | 1032 |
| 1 | 200 | 965 |
| 2 | 573 | 944 |
| 3 | 1158 | 943 |
| 4 | 2137 | 937 |
| 5 | 4287 | 937 |
| 6 | 4797 | 937 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 59 | 1 | 60 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 60 | 6 | 66 |
Compiled 1080 to 400 computations (63% saved)
Found 4 expressions with local error:
| 0.6b | (cbrt.f64 (cbrt.f64 (cbrt.f64 z))) |
| 0.6b | (cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) |
| 0.6b | (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) |
| 0.9b | (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 z)))) 4) |
| 1× | rewrite-expression-head |
| 43× | cbrt-prod_binary64 |
| 12× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 10× | unpow-prod-down_binary64 |
| 7× | pow1_binary64 add-exp-log_binary64 |
| 5× | pow1/3_binary64 |
| 4× | pow-pow_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 |
| 3× | pow-unpow_binary64 |
| 2× | unpow2_binary64 pow-prod-down_binary64 pow-exp_binary64 sqr-pow_binary64 |
| 1× | pow3_binary64 pow-to-exp_binary64 prod-exp_binary64 |
4 calls:
| 10.0ms | (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 z)))) 4) |
| 6.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) |
| 4.0ms | (cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) |
| 2.0ms | (cbrt.f64 (cbrt.f64 (cbrt.f64 z))) |
Compiled 2467 to 845 computations (65.7% saved)
4 calls:
| 30.0ms | (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 z)))) 4) |
| 28.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) |
| 27.0ms | (cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) |
| 22.0ms | (cbrt.f64 (cbrt.f64 (cbrt.f64 z))) |
Compiled 988 to 682 computations (31% saved)
| 1× | egg-herbie |
| 534× | *-commutative_binary64 |
| 400× | associate-+l+_binary64 |
| 386× | log-prod_binary64 |
| 383× | exp-prod_binary64 |
| 324× | sqr-pow_binary64 |
| 313× | cube-prod_binary64 |
| 286× | associate-+r+_binary64 |
| 233× | swap-sqr_binary64 |
| 226× | distribute-rgt-in_binary64 |
| 224× | pow-sqr_binary64 |
| 209× | associate-*l*_binary64 |
| 199× | associate-*r*_binary64 |
| 189× | associate-/l*_binary64 |
| 178× | distribute-lft-in_binary64 |
| 151× | log-pow_binary64 |
| 128× | unpow3_binary64 |
| 108× | pow-plus_binary64 |
| 78× | unswap-sqr_binary64 |
| 72× | cube-mult_binary64 |
| 71× | associate-/r*_binary64 |
| 65× | times-frac_binary64 |
| 37× | associate-/l/_binary64 |
| 36× | distribute-rgt-out_binary64 |
| 34× | rem-sqrt-square_binary64 |
| 33× | *-rgt-identity_binary64 |
| 31× | cube-unmult_binary64 |
| 27× | *-lft-identity_binary64 associate-*r/_binary64 |
| 23× | associate-/r/_binary64 |
| 21× | distribute-lft-out_binary64 |
| 16× | count-2_binary64 |
| 15× | unpow2_binary64 |
| 13× | unpow1/2_binary64 unpow1_binary64 |
| 7× | neg-sub0_binary64 sub-neg_binary64 |
| 4× | neg-mul-1_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 associate-*l/_binary64 |
| 3× | rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 distribute-rgt1-in_binary64 |
| 2× | unpow1/3_binary64 +-commutative_binary64 |
| 1× | 1-exp_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 cancel-sign-sub-inv_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 log-rec_binary64 log-div_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_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-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-div_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_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-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-lft1-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: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1272 |
| 1 | 208 | 1200 |
| 2 | 385 | 1200 |
| 3 | 1267 | 955 |
| 4 | 1827 | 944 |
| 5 | 4226 | 928 |
| 6 | 4851 | 928 |
| 7 | 4933 | 928 |
| 8 | 4885 | 928 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 1 | 49 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 48 | 7 | 55 |
Compiled 1112 to 392 computations (64.7% saved)
Total 0.0b remaining (49.3%)
Threshold costs 0.0b (49.3%)
Compiled 6272 to 4489 computations (28.4% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_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 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 | 9 | 14 |
| 1 | 12 | 14 |
| 2 | 12 | 14 |
Compiled 9 to 8 computations (11.1% saved)
| 1× | intervals |
| 383.0ms | 5737× | body | 128 | valid |
| 347.0ms | 1250× | body | 1024 | valid |
| 138.0ms | 671× | body | 512 | valid |
| 46.0ms | 340× | body | 256 | valid |
| 1.0ms | 2× | body | 2048 | valid |
Compiled 157 to 128 computations (18.5% saved)
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