Time bar (total: 4.1s)
| 1× | search |
| 2× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_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 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 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 12 | 14 |
| 2 | 11 | 14 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 50% | 50% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 62.5% | 37.5% | 0% | 4 |
| 68.7% | 31.2% | 0% | 5 |
| 71.8% | 28.1% | 0% | 6 |
| 73.4% | 26.5% | 0% | 7 |
| 74.2% | 25.8% | 0% | 8 |
| 74.6% | 25.4% | 0% | 9 |
| 74.8% | 25.2% | 0% | 10 |
| 74.9% | 25.1% | 0% | 11 |
| 74.9% | 25% | 0% | 12 |
| 74.9% | 25% | 0% | 13 |
| 75% | 25% | 0% | 14 |
Compiled 10 to 8 computations (20% saved)
| 1× | intervals |
| 29.0ms | 78× | body | 1024 | valid |
| 10.0ms | 50× | body | 512 | valid |
| 10.0ms | 33× | body | 2048 | valid |
| 3.0ms | 73× | body | 128 | valid |
| 2.0ms | 22× | body | 256 | valid |
Compiled 19 to 16 computations (15.8% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_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 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 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 12 | 14 |
| 2 | 11 | 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 7 computations (22.2% saved)
Found 3 expressions with local error:
| 1.5b | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| 2.3b | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 14.1b | (sqrt.f64 (+.f64 (*.f64 x x) 1)) |
| 1× | rewrite-expression-head |
| 9× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 5× | pow1_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 |
| 4× | add-exp-log_binary64 log-prod_binary64 |
| 3× | add-cbrt-cube_binary64 flip3-+_binary64 flip-+_binary64 sqrt-prod_binary64 |
| 2× | sqrt-div_binary64 log-div_binary64 distribute-lft-out_binary64 |
| 1× | pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 log-pow_binary64 rem-log-exp_binary64 sum-log_binary64 +-commutative_binary64 |
3 calls:
| 6.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 6.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| 5.0ms | (sqrt.f64 (+.f64 (*.f64 x x) 1)) |
Compiled 703 to 424 computations (39.7% saved)
3 calls:
| 14.0ms | (sqrt.f64 (+.f64 (*.f64 x x) 1)) |
| 12.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| 12.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
Compiled 513 to 442 computations (13.8% saved)
| 1× | egg-herbie |
| 436× | times-frac_binary64 |
| 389× | unswap-sqr_binary64 |
| 368× | sub-neg_binary64 |
| 236× | distribute-rgt-in_binary64 |
| 225× | unsub-neg_binary64 associate-+l+_binary64 |
| 206× | associate-+r+_binary64 |
| 187× | distribute-lft-in_binary64 |
| 147× | *-commutative_binary64 |
| 145× | associate-/r*_binary64 |
| 135× | neg-mul-1_binary64 |
| 131× | div-sub_binary64 |
| 129× | cancel-sign-sub-inv_binary64 |
| 125× | associate--r+_binary64 |
| 106× | +-commutative_binary64 |
| 103× | neg-sub0_binary64 associate-*l*_binary64 |
| 99× | associate-+l-_binary64 |
| 86× | associate--l+_binary64 |
| 80× | associate-*r*_binary64 |
| 76× | associate-+r-_binary64 |
| 67× | difference-of-squares_binary64 distribute-rgt-out_binary64 |
| 60× | distribute-rgt-neg-in_binary64 |
| 58× | associate-*r/_binary64 |
| 57× | associate-*l/_binary64 |
| 55× | associate--r-_binary64 |
| 48× | log-prod_binary64 sqr-pow_binary64 |
| 47× | distribute-neg-frac_binary64 associate-/l*_binary64 |
| 46× | distribute-lft-neg-in_binary64 |
| 41× | sub0-neg_binary64 |
| 36× | cube-prod_binary64 |
| 35× | unpow3_binary64 |
| 32× | distribute-rgt-out--_binary64 |
| 30× | *-rgt-identity_binary64 |
| 28× | distribute-neg-in_binary64 associate-/l/_binary64 |
| 27× | +-rgt-identity_binary64 |
| 26× | pow-plus_binary64 *-lft-identity_binary64 |
| 24× | associate--l-_binary64 |
| 22× | log-div_binary64 |
| 21× | distribute-lft-out_binary64 |
| 19× | exp-prod_binary64 cube-unmult_binary64 |
| 15× | --rgt-identity_binary64 |
| 12× | remove-double-neg_binary64 distribute-rgt1-in_binary64 |
| 10× | distribute-lft-neg-out_binary64 |
| 9× | cube-div_binary64 difference-of-sqr--1_binary64 |
| 8× | pow-sqr_binary64 |
| 7× | rem-sqrt-square_binary64 distribute-lft-out--_binary64 |
| 6× | exp-sum_binary64 |
| 5× | log-pow_binary64 mul-1-neg_binary64 remove-double-div_binary64 |
| 4× | prod-exp_binary64 exp-diff_binary64 cube-mult_binary64 cube-neg_binary64 +-lft-identity_binary64 mul0-lft_binary64 +-inverses_binary64 difference-of-sqr-1_binary64 count-2_binary64 |
| 3× | log-rec_binary64 unpow1/2_binary64 sqr-neg_binary64 mul0-rgt_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 |
| 2× | unpow2_binary64 div0_binary64 swap-sqr_binary64 associate-/r/_binary64 |
| 1× | exp-to-pow_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-exp-log_binary64 rem-square-sqrt_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 pow-base-0_binary64 unpow1/3_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-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 964 |
| 1 | 232 | 882 |
| 2 | 475 | 852 |
| 3 | 1249 | 846 |
| 4 | 3278 | 846 |
| 5 | 4553 | 846 |
| 6 | 4970 | 846 |
| 7 | 4844 | 846 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 5 | 45 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 41 | 5 | 46 |
Compiled 672 to 442 computations (34.2% saved)
Found 1 expressions with local error:
| 0.0b | (+.f64 x (+.f64 x (/.f64 1/2 x))) |
| 1× | rewrite-expression-head |
| 6× | add-log-exp_binary64 *-un-lft-identity_binary64 |
| 3× | sum-log_binary64 distribute-lft-out_binary64 |
| 1× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 flip-+_binary64 associate-+r+_binary64 +-commutative_binary64 |
1 calls:
| 8.0ms | (+.f64 x (+.f64 x (/.f64 1/2 x))) |
Compiled 209 to 138 computations (34% saved)
1 calls:
| 14.0ms | (+.f64 x (+.f64 x (/.f64 1/2 x))) |
Compiled 90 to 81 computations (10% saved)
| 1× | egg-herbie |
| 555× | sub-neg_binary64 |
| 325× | times-frac_binary64 |
| 298× | unsub-neg_binary64 |
| 257× | associate-*l*_binary64 |
| 234× | distribute-neg-in_binary64 |
| 225× | associate-/l*_binary64 |
| 192× | distribute-rgt-out_binary64 |
| 191× | distribute-rgt-in_binary64 |
| 179× | associate-*r*_binary64 |
| 167× | distribute-lft-out_binary64 distribute-lft-in_binary64 |
| 156× | associate--l+_binary64 |
| 153× | associate--r+_binary64 |
| 145× | +-commutative_binary64 |
| 142× | div-sub_binary64 |
| 139× | neg-mul-1_binary64 |
| 133× | neg-sub0_binary64 |
| 128× | associate-+l-_binary64 |
| 96× | distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 associate-+r-_binary64 |
| 77× | exp-prod_binary64 associate-+l+_binary64 |
| 76× | cancel-sign-sub-inv_binary64 |
| 70× | associate-*l/_binary64 |
| 65× | associate-*r/_binary64 |
| 64× | exp-sum_binary64 |
| 60× | associate-+r+_binary64 |
| 49× | *-commutative_binary64 |
| 48× | exp-diff_binary64 |
| 46× | cube-prod_binary64 |
| 43× | distribute-rgt-out--_binary64 |
| 40× | unswap-sqr_binary64 cancel-sign-sub_binary64 |
| 38× | log-prod_binary64 |
| 37× | associate-/l/_binary64 |
| 36× | distribute-neg-frac_binary64 distribute-lft-neg-out_binary64 |
| 31× | distribute-rgt-neg-out_binary64 |
| 26× | sqr-pow_binary64 |
| 25× | sub0-neg_binary64 |
| 23× | associate--r-_binary64 associate--l-_binary64 |
| 19× | +-rgt-identity_binary64 |
| 15× | *-rgt-identity_binary64 |
| 14× | *-lft-identity_binary64 |
| 10× | cube-div_binary64 |
| 9× | distribute-rgt1-in_binary64 distribute-lft-out--_binary64 |
| 8× | log-div_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 |
| 7× | cube-unmult_binary64 |
| 6× | remove-double-neg_binary64 +-inverses_binary64 swap-sqr_binary64 |
| 4× | unpow3_binary64 pow-plus_binary64 +-lft-identity_binary64 difference-of-squares_binary64 |
| 3× | prod-exp_binary64 sqr-neg_binary64 pow-sqr_binary64 count-2_binary64 |
| 2× | unpow1/2_binary64 div-exp_binary64 cube-mult_binary64 cube-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 |
| 1× | unpow1_binary64 exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 --rgt-identity_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 distribute-frac-neg_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_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 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 div0_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 283 |
| 1 | 100 | 253 |
| 2 | 284 | 241 |
| 3 | 967 | 235 |
| 4 | 2257 | 235 |
| 5 | 4243 | 235 |
| 6 | 4969 | 235 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 16 | 0 | 16 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 16 | 5 | 21 |
Compiled 200 to 133 computations (33.5% saved)
Found 3 expressions with local error:
| 0.0b | (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
| 0.2b | (/.f64 1/8 (pow.f64 x 3)) |
| 10.9b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| 1× | rewrite-expression-head |
| 41× | *-un-lft-identity_binary64 |
| 40× | times-frac_binary64 |
| 29× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 |
| 12× | unpow-prod-down_binary64 cube-prod_binary64 associate-/r*_binary64 |
| 9× | add-exp-log_binary64 |
| 5× | log-prod_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 |
| 4× | pow1_binary64 distribute-lft-out_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 |
| 3× | log-div_binary64 div-exp_binary64 associate-/l*_binary64 |
| 2× | frac-add_binary64 flip3-+_binary64 flip-+_binary64 |
| 1× | log-pow_binary64 rem-log-exp_binary64 pow-to-exp_binary64 pow-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 sum-log_binary64 +-commutative_binary64 |
3 calls:
| 33.0ms | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| 29.0ms | (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
| 5.0ms | (/.f64 1/8 (pow.f64 x 3)) |
Compiled 1483 to 1199 computations (19.2% saved)
3 calls:
| 15.0ms | (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
| 9.0ms | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| 8.0ms | (/.f64 1/8 (pow.f64 x 3)) |
Compiled 315 to 288 computations (8.6% saved)
| 1× | egg-herbie |
| 685× | associate-*l*_binary64 |
| 387× | associate-/l*_binary64 |
| 330× | log-prod_binary64 associate-*l/_binary64 |
| 298× | associate-*r/_binary64 |
| 284× | associate-/l/_binary64 |
| 139× | unswap-sqr_binary64 |
| 128× | associate-/r*_binary64 |
| 124× | cancel-sign-sub-inv_binary64 |
| 78× | associate-/r/_binary64 |
| 75× | distribute-rgt-neg-in_binary64 |
| 73× | log-div_binary64 |
| 72× | distribute-lft-neg-in_binary64 |
| 67× | distribute-rgt-in_binary64 |
| 54× | distribute-neg-frac_binary64 |
| 53× | distribute-lft-in_binary64 |
| 44× | associate-*r*_binary64 |
| 41× | cube-prod_binary64 |
| 33× | times-frac_binary64 sqr-pow_binary64 |
| 30× | sub-neg_binary64 |
| 27× | swap-sqr_binary64 |
| 22× | log-pow_binary64 |
| 21× | distribute-rgt-out_binary64 |
| 20× | *-commutative_binary64 |
| 18× | neg-mul-1_binary64 neg-sub0_binary64 |
| 17× | distribute-lft-neg-out_binary64 |
| 15× | distribute-lft-out_binary64 |
| 14× | +-commutative_binary64 |
| 13× | cube-div_binary64 distribute-rgt-neg-out_binary64 |
| 11× | unpow3_binary64 |
| 7× | log-rec_binary64 pow-plus_binary64 exp-prod_binary64 cube-mult_binary64 div-sub_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64 |
| 6× | rem-sqrt-square_binary64 *-rgt-identity_binary64 pow-sqr_binary64 distribute-neg-in_binary64 |
| 5× | cube-unmult_binary64 |
| 4× | prod-exp_binary64 distribute-lft-out--_binary64 count-2_binary64 |
| 3× | unsub-neg_binary64 /-rgt-identity_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 2× | exp-diff_binary64 associate--l+_binary64 associate-+l+_binary64 |
| 1× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 *-lft-identity_binary64 difference-of-squares_binary64 distribute-neg-out_binary64 distribute-rgt1-in_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 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 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 mul-1-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 cancel-sign-sub_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--r+_binary64 associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1700 |
| 1 | 297 | 1608 |
| 2 | 994 | 1578 |
| 3 | 4767 | 1577 |
| 4 | 5191 | 1577 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 0 | 74 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 74 | 5 | 79 |
Compiled 837 to 649 computations (22.5% saved)
Found 3 expressions with local error:
| 0.0b | (log.f64 (/.f64 -1 x)) |
| 0.1b | (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) |
| 0.1b | (/.f64 1/4 (*.f64 x x)) |
| 1× | rewrite-expression-head |
| 29× | log-prod_binary64 |
| 24× | *-un-lft-identity_binary64 |
| 21× | times-frac_binary64 |
| 20× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 |
| 13× | associate-+r+_binary64 |
| 11× | add-exp-log_binary64 |
| 8× | pow1_binary64 add-cbrt-cube_binary64 |
| 5× | log-pow_binary64 |
| 4× | distribute-lft-out_binary64 |
| 3× | div-exp_binary64 add-log-exp_binary64 div-inv_binary64 associate-/l*_binary64 associate-+l+_binary64 |
| 2× | cbrt-undiv_binary64 log-div_binary64 rem-log-exp_binary64 |
| 1× | prod-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 associate-/r*_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 associate-+r-_binary64 +-commutative_binary64 |
3 calls:
| 6.0ms | (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) |
| 4.0ms | (/.f64 1/4 (*.f64 x x)) |
| 2.0ms | (log.f64 (/.f64 -1 x)) |
Compiled 1395 to 1020 computations (26.9% saved)
3 calls:
| 16.0ms | (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) |
| 11.0ms | (log.f64 (/.f64 -1 x)) |
| 10.0ms | (/.f64 1/4 (*.f64 x x)) |
Compiled 320 to 273 computations (14.7% saved)
| 1× | egg-herbie |
| 502× | times-frac_binary64 |
| 360× | unsub-neg_binary64 |
| 350× | sub-neg_binary64 |
| 317× | cancel-sign-sub-inv_binary64 |
| 289× | associate-/r*_binary64 |
| 274× | associate-/l/_binary64 |
| 255× | distribute-rgt-in_binary64 |
| 244× | distribute-lft-in_binary64 |
| 213× | associate-/l*_binary64 |
| 208× | neg-sub0_binary64 |
| 201× | neg-mul-1_binary64 |
| 139× | log-div_binary64 |
| 127× | associate-*l/_binary64 |
| 122× | log-prod_binary64 |
| 98× | associate-+l+_binary64 |
| 92× | unswap-sqr_binary64 |
| 81× | associate-+l-_binary64 |
| 79× | associate-+r+_binary64 |
| 78× | distribute-rgt-neg-out_binary64 |
| 76× | associate-+r-_binary64 |
| 72× | +-commutative_binary64 |
| 71× | associate-/r/_binary64 associate--l-_binary64 |
| 70× | associate-*r/_binary64 |
| 67× | distribute-lft-neg-out_binary64 |
| 65× | exp-sum_binary64 |
| 64× | *-commutative_binary64 |
| 62× | distribute-neg-in_binary64 |
| 61× | associate-*l*_binary64 |
| 59× | associate--l+_binary64 |
| 49× | associate-*r*_binary64 |
| 47× | sqr-pow_binary64 |
| 46× | log-pow_binary64 |
| 42× | exp-diff_binary64 |
| 37× | exp-prod_binary64 |
| 36× | prod-exp_binary64 |
| 32× | remove-double-neg_binary64 |
| 31× | distribute-rgt-out_binary64 |
| 29× | associate--r+_binary64 |
| 23× | unpow3_binary64 distribute-rgt-neg-in_binary64 |
| 22× | swap-sqr_binary64 |
| 20× | cube-prod_binary64 |
| 19× | distribute-lft-neg-in_binary64 |
| 18× | distribute-neg-out_binary64 |
| 17× | +-rgt-identity_binary64 |
| 16× | pow-plus_binary64 |
| 15× | cube-div_binary64 |
| 14× | exp-to-pow_binary64 |
| 12× | log-rec_binary64 |
| 10× | *-lft-identity_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64 |
| 9× | div-exp_binary64 cube-unmult_binary64 sub0-neg_binary64 associate--r-_binary64 |
| 8× | count-2_binary64 |
| 7× | rem-exp-log_binary64 |
| 6× | pow-sqr_binary64 |
| 5× | cube-mult_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 |
| 4× | sqr-neg_binary64 *-rgt-identity_binary64 |
| 3× | rec-exp_binary64 div-sub_binary64 |
| 2× | exp-neg_binary64 cube-neg_binary64 --rgt-identity_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 |
| 1× | log-E_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 rem-sqrt-square_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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 pow-base-0_binary64 unpow1/3_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 1105 |
| 1 | 285 | 1023 |
| 2 | 677 | 992 |
| 3 | 2248 | 990 |
| 4 | 3913 | 966 |
| 5 | 4794 | 966 |
| 6 | 4956 | 966 |
| 7 | 4999 | 966 |
| 8 | 4871 | 966 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 1 | 52 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 51 | 6 | 57 |
Compiled 671 to 475 computations (29.2% saved)
Total -28.7b remaining (-6702.6%)
Threshold costs -28.7b (-6702.6%)
Compiled 3024 to 2377 computations (21.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 3.7588415531104074e-13 | 256833.9911487608 | 0.7855249968658321 |
| 10 | -4045.0833086761595 | -9.624771969692172e-15 | -0.9051123451222073 |
Compiled 1 to 1 computations (0% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-mul-1_binary64 neg-sub0_binary64 distribute-neg-frac_binary64 *-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 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-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 | 21 | 40 |
| 1 | 25 | 40 |
| 2 | 33 | 40 |
| 3 | 35 | 40 |
| 4 | 36 | 40 |
| 5 | 35 | 40 |
Compiled 27 to 19 computations (29.6% saved)
| 1× | intervals |
| 904.0ms | 2480× | body | 1024 | valid |
| 385.0ms | 1188× | body | 2048 | valid |
| 272.0ms | 1288× | body | 512 | valid |
| 109.0ms | 2329× | body | 128 | valid |
| 81.0ms | 672× | body | 256 | valid |
| 19.0ms | 43× | body | 4096 | valid |
Compiled 151 to 120 computations (20.5% saved)
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