Time bar (total: 13.6s)
| 1× | search |
| 2× | egg-herbie |
| 591× | associate-/r/_binary64 |
| 531× | associate-/l/_binary64 |
| 297× | associate-*l*_binary64 |
| 268× | associate-*r*_binary64 |
| 230× | cancel-sign-sub-inv_binary64 |
| 219× | associate-/l*_binary64 |
| 206× | distribute-neg-frac_binary64 |
| 174× | distribute-rgt-neg-in_binary64 |
| 167× | distribute-lft-neg-in_binary64 |
| 159× | associate-*l/_binary64 |
| 153× | *-commutative_binary64 |
| 149× | associate-*r/_binary64 |
| 120× | unswap-sqr_binary64 |
| 114× | div-sub_binary64 |
| 108× | sub-neg_binary64 |
| 74× | associate-/r*_binary64 |
| 70× | sqr-pow_binary64 |
| 64× | times-frac_binary64 neg-mul-1_binary64 neg-sub0_binary64 |
| 46× | distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 |
| 45× | distribute-rgt-in_binary64 distribute-lft-in_binary64 |
| 30× | pow-plus_binary64 |
| 27× | distribute-frac-neg_binary64 |
| 25× | +-commutative_binary64 |
| 20× | cube-unmult_binary64 |
| 13× | sub0-neg_binary64 div0_binary64 associate-+l-_binary64 |
| 12× | difference-of-sqr-1_binary64 |
| 10× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 |
| 7× | associate-+r-_binary64 |
| 6× | +-rgt-identity_binary64 associate-+l+_binary64 |
| 4× | difference-of-sqr--1_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 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 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-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-square-sqrt_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 --rgt-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-squares_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-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 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 203 |
| 1 | 143 | 203 |
| 2 | 285 | 203 |
| 3 | 807 | 203 |
| 4 | 2655 | 203 |
| 5 | 4997 | 203 |
| 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 |
| 18.7% | 76.4% | 4.9% | 9 |
| 18.7% | 76.4% | 4.9% | 10 |
| 21.8% | 72.5% | 5.7% | 11 |
| 21.8% | 69.8% | 8.4% | 12 |
| 32.7% | 46.6% | 20.7% | 13 |
| 32.7% | 46.6% | 20.7% | 14 |
Compiled 20 to 20 computations (0% saved)
| 1× | intervals |
| 22.0ms | 256× | body | 128 | valid |
| 12.0ms | 141× | body | 128 | nan |
Compiled 39 to 43 computations (-10.3% saved)
| 1× | egg-herbie |
| 525× | associate-/r/_binary64 |
| 484× | unswap-sqr_binary64 |
| 458× | associate-/l/_binary64 |
| 422× | associate-*l/_binary64 |
| 301× | *-commutative_binary64 |
| 297× | cancel-sign-sub-inv_binary64 associate-*l*_binary64 |
| 260× | associate-*r/_binary64 |
| 253× | distribute-rgt-neg-in_binary64 |
| 218× | div-sub_binary64 |
| 215× | associate-/l*_binary64 |
| 205× | neg-mul-1_binary64 associate-*r*_binary64 |
| 131× | distribute-neg-frac_binary64 |
| 108× | associate-/r*_binary64 |
| 103× | times-frac_binary64 |
| 83× | distribute-lft-neg-in_binary64 |
| 67× | distribute-lft-neg-out_binary64 |
| 66× | sub-neg_binary64 distribute-rgt-neg-out_binary64 |
| 50× | neg-sub0_binary64 |
| 46× | sqr-pow_binary64 distribute-frac-neg_binary64 distribute-rgt-in_binary64 |
| 39× | distribute-lft-in_binary64 |
| 34× | unsub-neg_binary64 |
| 27× | div0_binary64 |
| 26× | pow-plus_binary64 |
| 22× | cube-prod_binary64 |
| 16× | mul0-rgt_binary64 distribute-neg-in_binary64 |
| 14× | rem-sqrt-square_binary64 +-commutative_binary64 |
| 10× | cube-unmult_binary64 |
| 9× | mul0-lft_binary64 |
| 8× | unpow3_binary64 |
| 7× | associate-+l-_binary64 |
| 6× | unpow2_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 |
| 5× | sub0-neg_binary64 |
| 4× | unpow1_binary64 cube-mult_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 difference-of-sqr-1_binary64 |
| 3× | --rgt-identity_binary64 associate--r+_binary64 |
| 2× | unpow1/2_binary64 swap-sqr_binary64 associate-+l+_binary64 associate-+r+_binary64 |
| 1× | 1-exp_binary64 mul-1-neg_binary64 remove-double-neg_binary64 +-rgt-identity_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 log-prod_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 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-div_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-square-sqrt_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-squares_binary64 cancel-sign-sub_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 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 29 |
| 1 | 33 | 29 |
| 2 | 61 | 29 |
| 3 | 158 | 29 |
| 4 | 476 | 29 |
| 5 | 1619 | 29 |
| 6 | 3417 | 29 |
| 7 | 4797 | 29 |
| 8 | 4895 | 29 |
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 19 to 19 computations (0% saved)
Found 4 expressions with local error:
| 0.2b | (pow.f64 (/.f64 Om Omc) 2) |
| 0.3b | (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 0.4b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 10.5b | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 1× | rewrite-expression-head |
| 143× | add-sqr-sqrt_binary64 |
| 108× | times-frac_binary64 |
| 98× | *-un-lft-identity_binary64 |
| 70× | difference-of-squares_binary64 |
| 49× | add-cube-cbrt_binary64 |
| 48× | sqrt-prod_binary64 |
| 41× | unpow-prod-down_binary64 |
| 15× | unpow2_binary64 sqr-pow_binary64 |
| 14× | associate-/l*_binary64 |
| 9× | add-exp-log_binary64 |
| 7× | distribute-lft-out--_binary64 |
| 6× | pow1_binary64 add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 associate-/r/_binary64 |
| 3× | div-inv_binary64 associate-/r*_binary64 pow-unpow_binary64 |
| 2× | flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64 div-exp_binary64 associate-/l/_binary64 pow-exp_binary64 |
| 1× | pow1/2_binary64 sqrt-pow1_binary64 sqrt-div_binary64 asin-acos_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64 pow-pow_binary64 pow-to-exp_binary64 |
4 calls:
| 16.0ms | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 16.0ms | (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 5.0ms | (pow.f64 (/.f64 Om Omc) 2) |
| 1.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
Compiled 5888 to 4082 computations (30.7% saved)
4 calls:
| 113.0ms | (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 93.0ms | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 44.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 23.0ms | (pow.f64 (/.f64 Om Omc) 2) |
Compiled 2778 to 2628 computations (5.4% saved)
| 1× | egg-herbie |
| 504× | associate-*l*_binary64 |
| 393× | associate-*l/_binary64 |
| 332× | associate-*r/_binary64 |
| 290× | associate-/l*_binary64 |
| 258× | times-frac_binary64 |
| 226× | associate-/r*_binary64 |
| 160× | distribute-rgt-in_binary64 |
| 159× | associate-/l/_binary64 |
| 157× | associate-/r/_binary64 |
| 141× | distribute-lft-in_binary64 |
| 101× | sqr-pow_binary64 |
| 100× | log-prod_binary64 |
| 69× | distribute-neg-frac_binary64 |
| 65× | log-div_binary64 div-sub_binary64 |
| 64× | unswap-sqr_binary64 |
| 63× | associate-*r*_binary64 |
| 60× | distribute-rgt-neg-in_binary64 |
| 59× | cancel-sign-sub-inv_binary64 |
| 53× | sub-neg_binary64 |
| 49× | distribute-lft-neg-in_binary64 |
| 43× | *-commutative_binary64 |
| 41× | neg-sub0_binary64 |
| 37× | neg-mul-1_binary64 |
| 34× | +-commutative_binary64 |
| 25× | unpow3_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 |
| 24× | *-rgt-identity_binary64 |
| 23× | log-pow_binary64 |
| 22× | distribute-rgt-out_binary64 |
| 20× | *-lft-identity_binary64 |
| 19× | /-rgt-identity_binary64 |
| 17× | cube-div_binary64 cube-prod_binary64 |
| 12× | cube-unmult_binary64 pow-sqr_binary64 swap-sqr_binary64 |
| 11× | exp-prod_binary64 |
| 10× | mul-1-neg_binary64 distribute-lft-neg-out_binary64 |
| 8× | rem-sqrt-square_binary64 |
| 7× | pow-plus_binary64 |
| 6× | distribute-rgt-neg-out_binary64 |
| 5× | distribute-rgt1-in_binary64 |
| 4× | log-rec_binary64 unsub-neg_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 associate-+l+_binary64 |
| 3× | rem-square-sqrt_binary64 associate--r+_binary64 associate-+r+_binary64 |
| 2× | exp-sum_binary64 cube-mult_binary64 rem-3cbrt-rft_binary64 distribute-lft-out--_binary64 associate-+r-_binary64 |
| 1× | exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 remove-double-neg_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_binary64 associate--l+_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 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-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-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 8531 |
| 1 | 590 | 7293 |
| 2 | 1380 | 7266 |
| 3 | 4733 | 7266 |
| 4 | 4949 | 7266 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 7 | 164 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 157 | 8 | 165 |
Compiled 2291 to 1546 computations (32.5% saved)
Found 4 expressions with local error:
| 0.5b | (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 1.8b | (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 17.0b | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 17.0b | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 1× | rewrite-expression-head |
| 297× | cbrt-prod_binary64 |
| 281× | add-sqr-sqrt_binary64 |
| 234× | times-frac_binary64 |
| 194× | *-un-lft-identity_binary64 |
| 130× | difference-of-squares_binary64 |
| 108× | sqrt-prod_binary64 |
| 103× | add-cube-cbrt_binary64 |
| 52× | unpow-prod-down_binary64 |
| 26× | unpow2_binary64 sqr-pow_binary64 |
| 17× | associate-/l*_binary64 |
| 13× | distribute-lft-out--_binary64 |
| 10× | cbrt-div_binary64 |
| 6× | add-exp-log_binary64 associate-/r*_binary64 |
| 5× | pow1_binary64 rem-sqrt-square_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_binary64 flip3-+_binary64 flip-+_binary64 associate-/r/_binary64 |
| 2× | pow1/3_binary64 div-inv_binary64 associate-/l/_binary64 |
| 1× | pow1/2_binary64 sqrt-pow1_binary64 sqrt-div_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64 |
4 calls:
| 22.0ms | (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 20.0ms | (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 3.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 3.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
Compiled 17473 to 12614 computations (27.8% saved)
4 calls:
| 143.0ms | (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 140.0ms | (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 65.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 63.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
Compiled 7080 to 6094 computations (13.9% saved)
| 1× | egg-herbie |
| 416× | associate-*l*_binary64 |
| 242× | times-frac_binary64 |
| 233× | exp-prod_binary64 |
| 224× | associate-/l*_binary64 |
| 223× | associate-*l/_binary64 |
| 218× | associate-/r*_binary64 |
| 193× | associate-*r/_binary64 |
| 134× | log-prod_binary64 |
| 114× | associate-/l/_binary64 |
| 112× | distribute-rgt-in_binary64 |
| 109× | distribute-lft-in_binary64 |
| 93× | cancel-sign-sub-inv_binary64 |
| 92× | log-div_binary64 |
| 90× | sqr-pow_binary64 |
| 81× | associate-/r/_binary64 |
| 74× | exp-sum_binary64 |
| 67× | distribute-rgt-neg-in_binary64 *-commutative_binary64 |
| 65× | sub-neg_binary64 |
| 64× | associate-*r*_binary64 |
| 59× | distribute-lft-neg-in_binary64 |
| 55× | exp-to-pow_binary64 |
| 42× | neg-mul-1_binary64 +-commutative_binary64 |
| 41× | neg-sub0_binary64 |
| 38× | unswap-sqr_binary64 |
| 28× | distribute-neg-frac_binary64 |
| 26× | distribute-lft-neg-out_binary64 |
| 25× | unpow1/3_binary64 distribute-rgt-neg-out_binary64 |
| 21× | pow-sqr_binary64 |
| 20× | div-sub_binary64 |
| 18× | unpow3_binary64 exp-lft-sqr_binary64 |
| 17× | log-pow_binary64 |
| 16× | pow-plus_binary64 |
| 15× | unsub-neg_binary64 distribute-rgt-out_binary64 |
| 14× | exp-diff_binary64 *-rgt-identity_binary64 |
| 13× | /-rgt-identity_binary64 swap-sqr_binary64 |
| 12× | cube-div_binary64 cube-prod_binary64 |
| 9× | rem-sqrt-square_binary64 *-lft-identity_binary64 distribute-rgt1-in_binary64 associate-+l+_binary64 |
| 8× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-unmult_binary64 distribute-neg-in_binary64 |
| 6× | remove-double-neg_binary64 distribute-rgt-out--_binary64 associate-+r+_binary64 |
| 5× | associate-+l-_binary64 |
| 4× | associate--l-_binary64 |
| 3× | distribute-lft-out--_binary64 associate--l+_binary64 |
| 2× | log-rec_binary64 cube-mult_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 cancel-sign-sub_binary64 associate-+r-_binary64 |
| 1× | 1-exp_binary64 rem-3cbrt-lft_binary64 *-inverses_binary64 distribute-lft-out_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 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_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 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 429 | 17594 |
| 1 | 723 | 16134 |
| 2 | 1546 | 15891 |
| 3 | 4567 | 15779 |
| 4 | 5018 | 15779 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 1 | 219 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 219 | 8 | 227 |
Compiled 6541 to 4664 computations (28.7% saved)
Found 4 expressions with local error:
| 7.8b | (sqrt.f64 (/.f64 (+.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 7.8b | (sqrt.f64 (/.f64 (-.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 10.6b | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 10.6b | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 1× | rewrite-expression-head |
| 110× | sqrt-prod_binary64 |
| 70× | add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 64× | times-frac_binary64 |
| 40× | add-cube-cbrt_binary64 |
| 12× | difference-of-squares_binary64 |
| 10× | sqrt-div_binary64 |
| 8× | pow1_binary64 rem-sqrt-square_binary64 |
| 6× | distribute-lft-out--_binary64 distribute-lft-out_binary64 |
| 4× | pow1/2_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 flip3-+_binary64 flip-+_binary64 associate-/r/_binary64 |
| 2× | div-inv_binary64 |
4 calls:
| 10.0ms | (sqrt.f64 (/.f64 (-.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 8.0ms | (sqrt.f64 (/.f64 (+.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 3.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 3.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
Compiled 5588 to 3668 computations (34.4% saved)
4 calls:
| 183.0ms | (sqrt.f64 (/.f64 (-.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 181.0ms | (sqrt.f64 (/.f64 (+.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 55.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 55.0ms | (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
Compiled 5668 to 4516 computations (20.3% saved)
| 1× | egg-herbie |
| 442× | times-frac_binary64 |
| 315× | associate-*r*_binary64 |
| 306× | associate-*l*_binary64 |
| 276× | associate-/l*_binary64 |
| 234× | associate-*r/_binary64 |
| 220× | associate-*l/_binary64 |
| 214× | associate-/r*_binary64 |
| 161× | *-commutative_binary64 |
| 119× | sub-neg_binary64 |
| 99× | neg-sub0_binary64 |
| 94× | neg-mul-1_binary64 |
| 86× | cancel-sign-sub-inv_binary64 |
| 81× | exp-sum_binary64 associate-/l/_binary64 |
| 77× | distribute-rgt-neg-in_binary64 |
| 69× | distribute-lft-neg-in_binary64 |
| 66× | cube-prod_binary64 |
| 65× | div-sub_binary64 |
| 61× | distribute-neg-frac_binary64 |
| 59× | exp-prod_binary64 |
| 51× | unsub-neg_binary64 +-commutative_binary64 |
| 49× | cube-div_binary64 |
| 41× | sqr-pow_binary64 |
| 33× | distribute-rgt-in_binary64 |
| 31× | associate-/r/_binary64 |
| 30× | distribute-lft-in_binary64 |
| 27× | log-prod_binary64 |
| 23× | unswap-sqr_binary64 |
| 19× | associate-+l+_binary64 |
| 18× | unpow3_binary64 associate-+r-_binary64 |
| 17× | exp-diff_binary64 associate-+l-_binary64 associate-+r+_binary64 |
| 16× | exp-to-pow_binary64 |
| 14× | cube-unmult_binary64 rem-sqrt-square_binary64 |
| 13× | cube-mult_binary64 |
| 12× | log-pow_binary64 |
| 10× | distribute-rgt-out_binary64 |
| 9× | log-div_binary64 |
| 8× | unpow1/2_binary64 distribute-lft-neg-out_binary64 |
| 7× | exp-lft-sqr_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 swap-sqr_binary64 distribute-rgt1-in_binary64 associate--r+_binary64 |
| 6× | exp-neg_binary64 *-lft-identity_binary64 |
| 5× | pow-plus_binary64 rem-exp-log_binary64 pow-sqr_binary64 distribute-rgt-neg-out_binary64 |
| 4× | rem-square-sqrt_binary64 distribute-rgt-out--_binary64 associate--l+_binary64 |
| 3× | unpow2_binary64 unpow1_binary64 prod-exp_binary64 mul-1-neg_binary64 distribute-neg-in_binary64 distribute-lft-out--_binary64 |
| 2× | rec-exp_binary64 |
| 1× | log-rec_binary64 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 pow-base-0_binary64 unpow1/3_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_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 remove-double-neg_binary64 sub0-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-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 251 | 6800 |
| 1 | 491 | 6486 |
| 2 | 1100 | 6348 |
| 3 | 4332 | 6318 |
| 4 | 4925 | 6318 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 0 | 102 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 102 | 8 | 110 |
Compiled 2981 to 1977 computations (33.7% saved)
Found 4 expressions with local error:
| 1.8b | (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 8.1b | (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 3)) |
| 17.0b | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 17.0b | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 1× | rewrite-expression-head |
| 643× | cbrt-prod_binary64 |
| 393× | add-sqr-sqrt_binary64 |
| 346× | times-frac_binary64 |
| 324× | sqrt-prod_binary64 |
| 276× | *-un-lft-identity_binary64 |
| 183× | unpow-prod-down_binary64 |
| 180× | difference-of-squares_binary64 |
| 150× | add-cube-cbrt_binary64 |
| 111× | cube-prod_binary64 |
| 37× | sqr-pow_binary64 |
| 36× | unpow2_binary64 |
| 18× | distribute-lft-out--_binary64 |
| 11× | cbrt-div_binary64 |
| 6× | associate-/r/_binary64 |
| 5× | pow1_binary64 flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64 |
| 4× | add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | pow1/3_binary64 div-inv_binary64 |
| 2× | sqrt-div_binary64 |
| 1× | cube-div_binary64 unpow3_binary64 cube-mult_binary64 rem-cbrt-cube_binary64 pow1/2_binary64 sqrt-pow1_binary64 |
4 calls:
| 39.0ms | (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 3)) |
| 28.0ms | (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 3.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 3.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
Compiled 18138 to 13450 computations (25.8% saved)
4 calls:
| 150.0ms | (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 143.0ms | (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 3)) |
| 66.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 66.0ms | (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
Compiled 7300 to 6314 computations (13.5% saved)
| 1× | egg-herbie |
| 341× | sqr-pow_binary64 |
| 247× | associate-*l/_binary64 |
| 233× | associate-*r/_binary64 |
| 204× | exp-sum_binary64 |
| 194× | times-frac_binary64 |
| 193× | associate-/l*_binary64 |
| 181× | associate-/r*_binary64 |
| 143× | associate-*r*_binary64 |
| 138× | associate-*l*_binary64 |
| 134× | exp-prod_binary64 |
| 129× | unpow3_binary64 |
| 111× | cube-mult_binary64 |
| 109× | rem-cbrt-cube_binary64 |
| 102× | log-prod_binary64 |
| 87× | rem-sqrt-square_binary64 |
| 86× | unswap-sqr_binary64 |
| 83× | cancel-sign-sub-inv_binary64 |
| 82× | rem-square-sqrt_binary64 |
| 79× | log-div_binary64 |
| 76× | distribute-rgt-in_binary64 |
| 74× | distribute-lft-in_binary64 |
| 65× | associate-/l/_binary64 |
| 59× | sub-neg_binary64 |
| 56× | distribute-rgt-neg-in_binary64 |
| 55× | associate-/r/_binary64 |
| 50× | *-commutative_binary64 |
| 49× | distribute-lft-neg-in_binary64 |
| 48× | exp-diff_binary64 |
| 38× | neg-mul-1_binary64 |
| 37× | neg-sub0_binary64 |
| 32× | +-commutative_binary64 |
| 31× | exp-to-pow_binary64 |
| 22× | distribute-neg-frac_binary64 |
| 20× | distribute-lft-neg-out_binary64 |
| 19× | cube-prod_binary64 distribute-rgt-neg-out_binary64 |
| 17× | exp-neg_binary64 |
| 16× | log-pow_binary64 div-sub_binary64 |
| 15× | exp-lft-sqr_binary64 unsub-neg_binary64 |
| 14× | pow-sqr_binary64 |
| 11× | cube-div_binary64 /-rgt-identity_binary64 |
| 10× | pow-plus_binary64 |
| 9× | unpow1/3_binary64 *-rgt-identity_binary64 distribute-rgt-out_binary64 |
| 8× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 swap-sqr_binary64 distribute-neg-in_binary64 |
| 6× | *-lft-identity_binary64 remove-double-neg_binary64 distribute-rgt-out--_binary64 associate-+l+_binary64 |
| 5× | cube-unmult_binary64 distribute-rgt1-in_binary64 associate-+l-_binary64 |
| 4× | associate--l-_binary64 |
| 3× | pow-base-1_binary64 distribute-lft-out--_binary64 associate--l+_binary64 associate-+r+_binary64 |
| 2× | log-rec_binary64 prod-exp_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 cancel-sign-sub_binary64 associate-+r-_binary64 |
| 1× | 1-exp_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 *-inverses_binary64 distribute-lft-out_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 pow-base-0_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 617 | 24972 |
| 1 | 1220 | 22931 |
| 2 | 1998 | 22846 |
| 3 | 4571 | 22786 |
| 4 | 5081 | 22786 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 373 | 0 | 373 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 373 | 8 | 381 |
Compiled 6845 to 4941 computations (27.8% saved)
Total 0.2b remaining (25.1%)
Threshold costs 0.2b (25.1%)
Compiled 57754 to 50020 computations (13.4% saved)
Compiled 3 to 5 computations (-66.7% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 9× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 7× | neg-mul-1_binary64 neg-sub0_binary64 |
| 3× | distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
| 1× | 1-exp_binary64 distribute-neg-frac_binary64 distribute-rgt-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 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 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-lft-neg-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 99 |
| 1 | 49 | 99 |
| 2 | 67 | 99 |
| 3 | 80 | 99 |
| 4 | 89 | 99 |
| 5 | 92 | 99 |
| 6 | 91 | 99 |
Compiled 64 to 48 computations (25% saved)
| 1× | intervals |
| 740.0ms | 8000× | body | 128 | valid |
| 403.0ms | 4755× | body | 128 | nan |
Compiled 295 to 277 computations (6.1% saved)
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