Time bar (total: 20.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 0% | 99.9% | 0.1% | 8 |
| 0% | 96.7% | 3.3% | 9 |
| 16.4% | 74.9% | 8.7% | 10 |
| 17.6% | 71.8% | 10.7% | 11 |
| 26.3% | 59.5% | 14.2% | 12 |
| 30.7% | 45.7% | 23.5% | 13 |
| 31.7% | 43.5% | 24.7% | 14 |
Compiled 30 to 25 computations (16.7% saved)
| 1× | intervals |
| 22.0ms | 256× | body | 128 | valid |
| 12.0ms | 187× | body | 128 | invalid |
Compiled 59 to 52 computations (11.9% saved)
| 1× | egg-herbie |
| 613× | distribute-rgt-neg-in_binary64 |
| 464× | div-sub_binary64 |
| 442× | neg-mul-1_binary64 |
| 380× | associate-*l*_binary64 |
| 365× | associate-*r*_binary64 |
| 208× | associate-/r*_binary64 |
| 147× | sub-neg_binary64 |
| 145× | distribute-neg-frac_binary64 associate-/l*_binary64 |
| 144× | distribute-rgt-neg-out_binary64 |
| 143× | cancel-sign-sub-inv_binary64 |
| 128× | distribute-lft-neg-in_binary64 |
| 127× | distribute-lft-neg-out_binary64 |
| 114× | associate-/r/_binary64 |
| 110× | *-commutative_binary64 |
| 109× | distribute-neg-in_binary64 |
| 103× | distribute-rgt-in_binary64 |
| 100× | distribute-lft-in_binary64 |
| 91× | neg-sub0_binary64 |
| 78× | distribute-frac-neg_binary64 associate-/l/_binary64 |
| 49× | unsub-neg_binary64 |
| 32× | associate-*l/_binary64 |
| 24× | div0_binary64 cancel-sign-sub_binary64 +-commutative_binary64 |
| 21× | associate-+l-_binary64 |
| 18× | remove-double-neg_binary64 associate-+r+_binary64 |
| 15× | associate-+l+_binary64 |
| 14× | times-frac_binary64 associate--l+_binary64 |
| 11× | associate--r+_binary64 |
| 10× | sub0-neg_binary64 associate-+r-_binary64 |
| 8× | associate--r-_binary64 |
| 7× | associate--l-_binary64 |
| 6× | associate-*r/_binary64 |
| 3× | +-rgt-identity_binary64 |
| 2× | mul0-rgt_binary64 mul0-lft_binary64 |
| 1× | 1-exp_binary64 unswap-sqr_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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 --rgt-identity_binary64 +-lft-identity_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 swap-sqr_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 43 |
| 1 | 59 | 43 |
| 2 | 163 | 37 |
| 3 | 598 | 37 |
| 4 | 2634 | 37 |
| 5 | 4741 | 37 |
| 6 | 4999 | 37 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 3 | 4 |
Compiled 158 to 115 computations (27.2% saved)
Found 4 expressions with local error:
| 0.3b | (/.f64 2 (*.f64 r r)) |
| 3.6b | (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 3.9b | (*.f64 r (*.f64 r (*.f64 w w))) |
| 8.5b | (*.f64 r (*.f64 w w)) |
| 1× | rewrite-expression-head |
| 43× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 21× | prod-exp_binary64 cbrt-unprod_binary64 |
| 20× | pow1_binary64 |
| 18× | associate-*l*_binary64 |
| 17× | add-sqr-sqrt_binary64 |
| 14× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 10× | pow-prod-down_binary64 |
| 9× | times-frac_binary64 |
| 6× | div-exp_binary64 cbrt-undiv_binary64 |
| 5× | associate-*r*_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | *-commutative_binary64 associate-/l*_binary64 |
| 2× | unswap-sqr_binary64 flip3-+_binary64 frac-times_binary64 flip-+_binary64 associate-*r/_binary64 difference-of-squares_binary64 div-inv_binary64 associate-/r/_binary64 |
| 1× | distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 distribute-lft-out--_binary64 flip3--_binary64 flip--_binary64 frac-2neg_binary64 clear-num_binary64 associate-/r*_binary64 |
4 calls:
| 16.0ms | (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 8.0ms | (*.f64 r (*.f64 r (*.f64 w w))) |
| 8.0ms | (*.f64 r (*.f64 w w)) |
| 5.0ms | (/.f64 2 (*.f64 r r)) |
Compiled 3477 to 1878 computations (46% saved)
4 calls:
| 270.0ms | (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 77.0ms | (*.f64 r (*.f64 r (*.f64 w w))) |
| 74.0ms | (*.f64 r (*.f64 w w)) |
| 26.0ms | (/.f64 2 (*.f64 r r)) |
Compiled 2222 to 1793 computations (19.3% saved)
| 1× | egg-herbie |
| 501× | distribute-rgt-in_binary64 |
| 470× | distribute-lft-in_binary64 |
| 298× | associate-*l*_binary64 |
| 257× | associate-*r*_binary64 |
| 155× | *-commutative_binary64 |
| 130× | associate-/l*_binary64 |
| 119× | associate-*l/_binary64 |
| 108× | times-frac_binary64 |
| 96× | associate-*r/_binary64 |
| 94× | log-prod_binary64 |
| 93× | exp-prod_binary64 |
| 87× | unswap-sqr_binary64 |
| 82× | cancel-sign-sub-inv_binary64 |
| 76× | associate-/r*_binary64 |
| 75× | distribute-rgt-neg-in_binary64 |
| 63× | sub-neg_binary64 distribute-lft-neg-in_binary64 |
| 62× | distribute-rgt-out_binary64 |
| 54× | log-div_binary64 |
| 49× | distribute-lft-neg-out_binary64 |
| 46× | distribute-rgt-neg-out_binary64 |
| 45× | div-sub_binary64 |
| 42× | sqr-pow_binary64 |
| 37× | +-commutative_binary64 |
| 31× | cube-prod_binary64 |
| 29× | unpow3_binary64 |
| 28× | swap-sqr_binary64 |
| 27× | neg-mul-1_binary64 neg-sub0_binary64 |
| 24× | distribute-neg-frac_binary64 |
| 23× | distribute-lft-out_binary64 |
| 19× | cube-div_binary64 |
| 17× | *-lft-identity_binary64 associate-/r/_binary64 |
| 16× | *-rgt-identity_binary64 distribute-neg-in_binary64 |
| 11× | unsub-neg_binary64 associate--l+_binary64 associate-+l+_binary64 associate-+r+_binary64 |
| 9× | cube-unmult_binary64 |
| 8× | associate--r+_binary64 |
| 7× | pow-plus_binary64 /-rgt-identity_binary64 pow-sqr_binary64 |
| 6× | log-pow_binary64 |
| 5× | distribute-rgt-out--_binary64 associate-+l-_binary64 |
| 4× | unpow1/2_binary64 exp-sum_binary64 |
| 3× | unpow2_binary64 unpow1_binary64 rem-sqrt-square_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 |
| 2× | log-rec_binary64 unpow-1_binary64 exp-diff_binary64 cube-mult_binary64 count-2_binary64 associate-+r-_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 distribute-lft-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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 2863 |
| 1 | 633 | 2370 |
| 2 | 2382 | 2272 |
| 3 | 4841 | 2270 |
| 4 | 4990 | 2270 |
| 5 | 4999 | 2270 |
| 6 | 4938 | 2270 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 10 | 205 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 197 | 11 | 208 |
Compiled 7047 to 3805 computations (46% saved)
Found 4 expressions with local error:
| 0.1b | (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) |
| 0.3b | (/.f64 2 (*.f64 r r)) |
| 0.4b | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
| 3.6b | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 1× | rewrite-expression-head |
| 30× | add-sqr-sqrt_binary64 |
| 25× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 24× | *-un-lft-identity_binary64 |
| 16× | times-frac_binary64 |
| 15× | add-cube-cbrt_binary64 associate-*l*_binary64 |
| 13× | pow1_binary64 |
| 7× | prod-exp_binary64 cbrt-unprod_binary64 associate-/r*_binary64 |
| 6× | div-exp_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 associate-*r*_binary64 |
| 4× | add-log-exp_binary64 associate-/r/_binary64 associate-/l*_binary64 |
| 3× | unswap-sqr_binary64 distribute-lft-out--_binary64 div-inv_binary64 swap-sqr_binary64 |
| 2× | pow-prod-down_binary64 flip3-+_binary64 frac-times_binary64 flip-+_binary64 associate-*r/_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 |
| 1× | distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 pow2_binary64 pow-prod-up_binary64 pow-plus_binary64 sqr-abs_binary64 pow-sqr_binary64 |
4 calls:
| 13.0ms | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 7.0ms | (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) |
| 4.0ms | (/.f64 2 (*.f64 r r)) |
| 4.0ms | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
Compiled 4167 to 2094 computations (49.7% saved)
4 calls:
| 338.0ms | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 221.0ms | (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) |
| 59.0ms | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
| 27.0ms | (/.f64 2 (*.f64 r r)) |
Compiled 3271 to 2344 computations (28.3% saved)
| 1× | egg-herbie |
| 498× | distribute-rgt-in_binary64 |
| 452× | distribute-lft-in_binary64 |
| 228× | associate-*l*_binary64 |
| 184× | associate-*r*_binary64 |
| 136× | unswap-sqr_binary64 |
| 133× | cancel-sign-sub-inv_binary64 associate-/l*_binary64 associate-*l/_binary64 |
| 128× | distribute-rgt-out_binary64 |
| 125× | *-commutative_binary64 |
| 105× | distribute-rgt-neg-in_binary64 |
| 94× | associate-*r/_binary64 |
| 88× | distribute-lft-neg-in_binary64 |
| 77× | sub-neg_binary64 associate-/r*_binary64 |
| 75× | times-frac_binary64 |
| 62× | distribute-lft-out_binary64 |
| 56× | div-sub_binary64 +-commutative_binary64 |
| 51× | distribute-lft-neg-out_binary64 |
| 49× | log-prod_binary64 |
| 48× | distribute-neg-frac_binary64 |
| 46× | exp-prod_binary64 |
| 45× | distribute-rgt-neg-out_binary64 |
| 43× | neg-sub0_binary64 |
| 42× | neg-mul-1_binary64 |
| 40× | log-div_binary64 |
| 39× | sqr-pow_binary64 |
| 34× | distribute-neg-in_binary64 |
| 33× | associate-/l/_binary64 associate-+r+_binary64 |
| 32× | cube-prod_binary64 |
| 30× | swap-sqr_binary64 |
| 28× | associate-/r/_binary64 |
| 26× | *-rgt-identity_binary64 associate-+l+_binary64 |
| 22× | unsub-neg_binary64 |
| 21× | cube-div_binary64 |
| 20× | *-lft-identity_binary64 |
| 14× | associate--r+_binary64 |
| 12× | /-rgt-identity_binary64 |
| 10× | cube-unmult_binary64 distribute-rgt-out--_binary64 |
| 8× | pow-sqr_binary64 distribute-rgt1-in_binary64 |
| 6× | pow-plus_binary64 |
| 5× | distribute-lft1-in_binary64 |
| 4× | log-rec_binary64 exp-sum_binary64 rem-sqrt-square_binary64 distribute-frac-neg_binary64 associate-+r-_binary64 |
| 3× | log-pow_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 associate-+l-_binary64 |
| 2× | unpow3_binary64 exp-diff_binary64 cube-mult_binary64 +-rgt-identity_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--l+_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 remove-double-neg_binary64 div0_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 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 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sub0-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 3735 |
| 1 | 660 | 3231 |
| 2 | 2494 | 3041 |
| 3 | 5225 | 3041 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 217 | 7 | 224 |
| Fresh | 4 | 6 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 222 | 13 | 235 |
Compiled 8278 to 4668 computations (43.6% saved)
Found 4 expressions with local error:
| 0.3b | (/.f64 r (/.f64 2 r)) |
| 0.3b | (/.f64 1 (/.f64 r (/.f64 2 r))) |
| 0.4b | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
| 3.6b | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 1× | rewrite-expression-head |
| 478× | times-frac_binary64 |
| 247× | add-sqr-sqrt_binary64 |
| 241× | *-un-lft-identity_binary64 |
| 238× | add-cube-cbrt_binary64 |
| 57× | associate-/r*_binary64 |
| 41× | add-exp-log_binary64 |
| 29× | add-cbrt-cube_binary64 |
| 23× | div-inv_binary64 |
| 20× | div-exp_binary64 |
| 15× | associate-*l*_binary64 |
| 14× | pow1_binary64 |
| 11× | cbrt-undiv_binary64 |
| 8× | associate-/r/_binary64 |
| 6× | associate-*r*_binary64 associate-/l*_binary64 |
| 5× | prod-exp_binary64 cbrt-unprod_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | unswap-sqr_binary64 swap-sqr_binary64 1-exp_binary64 rec-exp_binary64 |
| 2× | pow-prod-down_binary64 flip3-+_binary64 frac-times_binary64 flip-+_binary64 associate-*r/_binary64 difference-of-squares_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 |
| 1× | distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 distribute-lft-out--_binary64 flip3--_binary64 flip--_binary64 pow2_binary64 pow-prod-up_binary64 pow-plus_binary64 sqr-abs_binary64 pow-sqr_binary64 inv-pow_binary64 pow-flip_binary64 |
4 calls:
| 13.0ms | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 13.0ms | (/.f64 1 (/.f64 r (/.f64 2 r))) |
| 6.0ms | (/.f64 r (/.f64 2 r)) |
| 4.0ms | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
Compiled 13892 to 8003 computations (42.4% saved)
4 calls:
| 338.0ms | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 55.0ms | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
| 30.0ms | (/.f64 1 (/.f64 r (/.f64 2 r))) |
| 29.0ms | (/.f64 r (/.f64 2 r)) |
Compiled 2304 to 1734 computations (24.7% saved)
| 1× | egg-herbie |
| 419× | associate-/r/_binary64 |
| 306× | associate-*l/_binary64 |
| 301× | associate-*l*_binary64 |
| 295× | associate-*r/_binary64 |
| 290× | *-commutative_binary64 |
| 269× | associate-/l/_binary64 |
| 249× | associate-*r*_binary64 |
| 238× | associate-/l*_binary64 |
| 179× | associate-/r*_binary64 |
| 156× | unswap-sqr_binary64 |
| 136× | times-frac_binary64 |
| 129× | exp-prod_binary64 |
| 111× | cube-prod_binary64 |
| 109× | log-prod_binary64 |
| 101× | distribute-rgt-in_binary64 |
| 96× | distribute-lft-in_binary64 |
| 71× | sub-neg_binary64 |
| 66× | log-div_binary64 |
| 56× | cube-div_binary64 |
| 54× | *-rgt-identity_binary64 |
| 52× | swap-sqr_binary64 |
| 43× | +-commutative_binary64 |
| 41× | sqr-pow_binary64 |
| 38× | neg-mul-1_binary64 |
| 36× | div-sub_binary64 |
| 35× | neg-sub0_binary64 |
| 33× | *-lft-identity_binary64 |
| 30× | remove-double-div_binary64 |
| 29× | unpow3_binary64 |
| 26× | cancel-sign-sub-inv_binary64 |
| 24× | cube-mult_binary64 |
| 22× | associate-+r+_binary64 |
| 18× | /-rgt-identity_binary64 distribute-rgt-neg-in_binary64 |
| 16× | cube-unmult_binary64 |
| 14× | associate-+l+_binary64 |
| 13× | log-rec_binary64 pow-plus_binary64 distribute-lft-neg-in_binary64 |
| 12× | unsub-neg_binary64 associate--r+_binary64 |
| 10× | log-pow_binary64 |
| 9× | exp-sum_binary64 |
| 8× | distribute-neg-in_binary64 |
| 7× | exp-diff_binary64 pow-sqr_binary64 associate-+r-_binary64 |
| 6× | distribute-neg-frac_binary64 |
| 5× | unpow1/2_binary64 rem-sqrt-square_binary64 |
| 4× | distribute-rgt-out_binary64 distribute-lft-out_binary64 associate--r-_binary64 |
| 3× | unpow2_binary64 unpow1_binary64 exp-sqrt_binary64 associate-+l-_binary64 |
| 2× | rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64 associate--l+_binary64 |
| 1× | exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 +-rgt-identity_binary64 div0_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 unpow1/3_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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_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-rgt-neg-out_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 8733 |
| 1 | 1185 | 7555 |
| 2 | 4177 | 7179 |
| 3 | 4702 | 7097 |
| 4 | 4956 | 7097 |
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1238 | 4 | 1242 |
| Fresh | 2 | 10 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1241 | 14 | 1255 |
Compiled 50100 to 28352 computations (43.4% saved)
Found 4 expressions with local error:
| 0.1b | (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) |
| 0.2b | (/.f64 (/.f64 2 r) r) |
| 0.4b | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
| 3.6b | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 1× | rewrite-expression-head |
| 88× | times-frac_binary64 |
| 70× | add-sqr-sqrt_binary64 |
| 64× | *-un-lft-identity_binary64 |
| 55× | add-cube-cbrt_binary64 |
| 25× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 15× | associate-*l*_binary64 |
| 14× | associate-/l*_binary64 |
| 13× | pow1_binary64 |
| 9× | associate-/r*_binary64 |
| 7× | div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 |
| 6× | prod-exp_binary64 cbrt-unprod_binary64 difference-of-squares_binary64 associate-*r*_binary64 |
| 4× | add-log-exp_binary64 associate-/r/_binary64 |
| 3× | unswap-sqr_binary64 distribute-lft-out--_binary64 swap-sqr_binary64 |
| 2× | pow-prod-down_binary64 flip3-+_binary64 frac-times_binary64 flip-+_binary64 associate-*r/_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 |
| 1× | distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 pow2_binary64 pow-prod-up_binary64 pow-plus_binary64 sqr-abs_binary64 pow-sqr_binary64 associate-/l/_binary64 |
4 calls:
| 13.0ms | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 7.0ms | (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) |
| 6.0ms | (/.f64 (/.f64 2 r) r) |
| 4.0ms | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
Compiled 6042 to 3201 computations (47% saved)
4 calls:
| 324.0ms | (*.f64 (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) (+.f64 3/8 (*.f64 v -1/4))) |
| 229.0ms | (/.f64 (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) (-.f64 1 v)) |
| 58.0ms | (*.f64 (fabs.f64 (*.f64 w r)) (fabs.f64 (*.f64 w r))) |
| 29.0ms | (/.f64 (/.f64 2 r) r) |
Compiled 3271 to 2385 computations (27.1% saved)
| 1× | egg-herbie |
| 497× | distribute-rgt-in_binary64 |
| 227× | associate-*l*_binary64 |
| 186× | associate-*r*_binary64 |
| 169× | associate-/l/_binary64 |
| 158× | associate-/l*_binary64 associate-*l/_binary64 |
| 142× | *-commutative_binary64 |
| 133× | cancel-sign-sub-inv_binary64 |
| 131× | unswap-sqr_binary64 |
| 129× | distribute-rgt-out_binary64 |
| 106× | associate-/r*_binary64 associate-*r/_binary64 |
| 104× | distribute-rgt-neg-in_binary64 |
| 100× | log-prod_binary64 |
| 97× | distribute-lft-in_binary64 |
| 89× | times-frac_binary64 |
| 87× | distribute-lft-neg-in_binary64 |
| 80× | sub-neg_binary64 |
| 72× | log-div_binary64 |
| 62× | distribute-lft-out_binary64 |
| 57× | +-commutative_binary64 |
| 56× | div-sub_binary64 |
| 52× | distribute-neg-frac_binary64 |
| 51× | distribute-lft-neg-out_binary64 |
| 48× | associate-/r/_binary64 |
| 46× | exp-prod_binary64 |
| 45× | distribute-rgt-neg-out_binary64 |
| 43× | neg-sub0_binary64 |
| 42× | neg-mul-1_binary64 |
| 39× | sqr-pow_binary64 |
| 35× | *-rgt-identity_binary64 |
| 34× | cube-prod_binary64 |
| 33× | swap-sqr_binary64 distribute-neg-in_binary64 associate-+r+_binary64 |
| 28× | /-rgt-identity_binary64 *-lft-identity_binary64 |
| 27× | associate-+l+_binary64 |
| 23× | cube-div_binary64 |
| 22× | unsub-neg_binary64 |
| 13× | cube-unmult_binary64 associate--r+_binary64 |
| 10× | log-pow_binary64 log-rec_binary64 distribute-rgt-out--_binary64 |
| 8× | pow-sqr_binary64 distribute-rgt1-in_binary64 |
| 6× | pow-plus_binary64 |
| 5× | rem-sqrt-square_binary64 distribute-lft1-in_binary64 |
| 4× | exp-sum_binary64 distribute-frac-neg_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 3× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 distribute-neg-out_binary64 associate--l+_binary64 |
| 2× | unpow3_binary64 exp-diff_binary64 cube-mult_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64 count-2_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 div0_binary64 associate--r-_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 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sub0-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 326 | 4776 |
| 1 | 865 | 4216 |
| 2 | 2866 | 3954 |
| 3 | 4940 | 3954 |
| 4 | 4962 | 3954 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 315 | 1 | 316 |
| Fresh | 1 | 12 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 317 | 13 | 330 |
Compiled 11258 to 6301 computations (44% saved)
Total 0.3b remaining (96.7%)
Threshold costs 0.3b (96.7%)
Compiled 43601 to 33525 computations (23.1% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 11× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-mul-1_binary64 neg-sub0_binary64 |
| 4× | distribute-rgt-neg-in_binary64 |
| 3× | distribute-lft-neg-in_binary64 |
| 2× | unsub-neg_binary64 cancel-sign-sub-inv_binary64 distribute-neg-in_binary64 |
| 1× | 1-exp_binary64 distribute-neg-frac_binary64 distribute-lft-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 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_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 36 |
| 1 | 35 | 36 |
| 2 | 49 | 36 |
| 3 | 63 | 36 |
| 4 | 81 | 36 |
| 5 | 89 | 36 |
| 6 | 93 | 36 |
| 7 | 94 | 36 |
| 8 | 93 | 36 |
| 1× | intervals |
| 552.0ms | 8000× | body | 128 | valid |
| 339.0ms | 4971× | body | 128 | invalid |
Compiled 7019 to 5406 computations (23% saved)
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