Time bar (total: 4.2s)
| 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 |
| 28.0ms | 81× | body | 1024 | valid |
| 12.0ms | 38× | body | 2048 | valid |
| 9.0ms | 40× | body | 512 | valid |
| 3.0ms | 73× | body | 128 | valid |
| 3.0ms | 23× | body | 256 | valid |
| 0.0ms | 1× | body | 4096 | 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:
| 0.3b | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| 3.4b | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 13.3b | (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 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| 6.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 x x) 1)) |
Compiled 703 to 424 computations (39.7% saved)
3 calls:
| 22.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 17.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| 15.0ms | (sqrt.f64 (+.f64 (*.f64 x x) 1)) |
Compiled 818 to 706 computations (13.7% saved)
| 1× | egg-herbie |
| 414× | sub-neg_binary64 |
| 354× | unsub-neg_binary64 |
| 245× | distribute-rgt-in_binary64 |
| 220× | cancel-sign-sub-inv_binary64 |
| 219× | times-frac_binary64 |
| 190× | distribute-lft-in_binary64 |
| 169× | neg-mul-1_binary64 |
| 155× | neg-sub0_binary64 |
| 154× | associate--r-_binary64 |
| 148× | div-sub_binary64 |
| 140× | associate-*r/_binary64 |
| 135× | associate-/r*_binary64 |
| 132× | associate-*l/_binary64 associate-*l*_binary64 |
| 120× | associate-*r*_binary64 |
| 116× | associate-/l/_binary64 |
| 110× | associate-+l+_binary64 |
| 107× | unswap-sqr_binary64 +-commutative_binary64 |
| 94× | distribute-neg-frac_binary64 distribute-rgt-neg-in_binary64 |
| 81× | associate--l+_binary64 associate-+r+_binary64 |
| 77× | distribute-rgt-out_binary64 |
| 74× | associate-/l*_binary64 |
| 71× | distribute-lft-neg-in_binary64 |
| 69× | associate-+l-_binary64 |
| 60× | *-commutative_binary64 |
| 57× | associate-+r-_binary64 |
| 54× | sqr-pow_binary64 |
| 42× | *-rgt-identity_binary64 |
| 39× | distribute-rgt-out--_binary64 |
| 38× | *-lft-identity_binary64 distribute-neg-in_binary64 |
| 36× | cube-prod_binary64 |
| 34× | --rgt-identity_binary64 |
| 29× | +-rgt-identity_binary64 |
| 27× | log-prod_binary64 |
| 26× | sub0-neg_binary64 |
| 25× | distribute-lft-out_binary64 |
| 24× | associate--r+_binary64 |
| 20× | pow-plus_binary64 |
| 19× | unpow3_binary64 exp-prod_binary64 |
| 18× | remove-double-neg_binary64 |
| 17× | distribute-rgt1-in_binary64 |
| 13× | cube-unmult_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 |
| 12× | log-div_binary64 distribute-lft-neg-out_binary64 |
| 10× | distribute-lft-out--_binary64 |
| 9× | cube-mult_binary64 |
| 7× | cube-div_binary64 rem-sqrt-square_binary64 remove-double-div_binary64 pow-sqr_binary64 associate--l-_binary64 |
| 6× | mul-1-neg_binary64 mul0-lft_binary64 |
| 5× | exp-sum_binary64 mul0-rgt_binary64 distribute-lft1-in_binary64 |
| 4× | log-pow_binary64 prod-exp_binary64 cube-neg_binary64 count-2_binary64 |
| 3× | unpow1/2_binary64 exp-diff_binary64 sqr-neg_binary64 div0_binary64 +-inverses_binary64 difference-of-sqr-1_binary64 distribute-rgt-neg-out_binary64 |
| 2× | log-rec_binary64 unpow2_binary64 +-lft-identity_binary64 swap-sqr_binary64 associate-/r/_binary64 |
| 1× | unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-exp-log_binary64 rem-square-sqrt_binary64 /-rgt-identity_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_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 | 135 | 1157 |
| 1 | 329 | 1080 |
| 2 | 754 | 1050 |
| 3 | 2123 | 1044 |
| 4 | 4304 | 1044 |
| 5 | 4663 | 1044 |
| 6 | 4880 | 1044 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 3 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 4 | 55 |
Compiled 761 to 505 computations (33.6% saved)
Found 2 expressions with local error:
| 0.0b | (-.f64 x (*.f64 (pow.f64 x 3) 1/6)) |
| 0.2b | (*.f64 (pow.f64 x 3) 1/6) |
| 1× | rewrite-expression-head |
| 13× | add-sqr-sqrt_binary64 |
| 12× | associate-*l*_binary64 |
| 7× | add-exp-log_binary64 |
| 6× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_binary64 unpow-prod-down_binary64 unswap-sqr_binary64 cube-prod_binary64 |
| 3× | prod-exp_binary64 associate-*r*_binary64 |
| 2× | pow1_binary64 sqr-pow_binary64 |
| 1× | pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64 unpow3_binary64 cube-mult_binary64 *-commutative_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64 |
2 calls:
| 6.0ms | (*.f64 (pow.f64 x 3) 1/6) |
| 3.0ms | (-.f64 x (*.f64 (pow.f64 x 3) 1/6)) |
Compiled 518 to 396 computations (23.6% saved)
2 calls:
| 14.0ms | (-.f64 x (*.f64 (pow.f64 x 3) 1/6)) |
| 9.0ms | (*.f64 (pow.f64 x 3) 1/6) |
Compiled 108 to 93 computations (13.9% saved)
| 1× | egg-herbie |
| 640× | unswap-sqr_binary64 |
| 326× | distribute-rgt-neg-in_binary64 |
| 309× | distribute-lft-neg-in_binary64 |
| 280× | log-prod_binary64 |
| 225× | distribute-rgt-in_binary64 |
| 211× | *-commutative_binary64 |
| 187× | distribute-lft-in_binary64 |
| 181× | associate-+l+_binary64 |
| 171× | exp-prod_binary64 |
| 161× | cancel-sign-sub-inv_binary64 |
| 112× | sqr-pow_binary64 |
| 104× | swap-sqr_binary64 |
| 97× | associate-*l*_binary64 |
| 91× | cube-prod_binary64 |
| 81× | associate-*r*_binary64 |
| 58× | neg-mul-1_binary64 neg-sub0_binary64 |
| 57× | distribute-rgt-out_binary64 |
| 42× | associate-/l*_binary64 |
| 37× | log-pow_binary64 |
| 34× | sub-neg_binary64 |
| 30× | distribute-lft-out_binary64 |
| 23× | pow-sqr_binary64 |
| 21× | unpow3_binary64 unsub-neg_binary64 |
| 20× | difference-of-squares_binary64 |
| 19× | distribute-rgt-out--_binary64 |
| 17× | distribute-lft-neg-out_binary64 |
| 15× | pow-plus_binary64 |
| 14× | associate-+r+_binary64 +-commutative_binary64 |
| 13× | cube-mult_binary64 distribute-rgt-neg-out_binary64 |
| 9× | exp-sum_binary64 times-frac_binary64 |
| 8× | count-2_binary64 |
| 7× | cube-unmult_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 |
| 6× | distribute-rgt1-in_binary64 associate-/r*_binary64 associate-+l-_binary64 |
| 5× | rem-sqrt-square_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-out--_binary64 associate-+r-_binary64 |
| 4× | exp-diff_binary64 |
| 3× | sub0-neg_binary64 +-rgt-identity_binary64 distribute-neg-in_binary64 associate--r+_binary64 |
| 1× | unpow1/2_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 associate--l+_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 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-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_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 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 577 |
| 1 | 158 | 556 |
| 2 | 619 | 553 |
| 3 | 1458 | 553 |
| 4 | 4828 | 553 |
| 5 | 4995 | 553 |
| 6 | 4978 | 553 |
| 7 | 4926 | 553 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 0 | 38 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 38 | 4 | 42 |
Compiled 377 to 280 computations (25.7% 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:
| 12.0ms | (+.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 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 16 | 0 | 16 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 16 | 4 | 20 |
Compiled 150 to 96 computations (36% saved)
Found 4 expressions with local error:
| 0.1b | (/.f64 1/8 (pow.f64 x 3)) |
| 0.2b | (/.f64 1/16 (pow.f64 x 5)) |
| 11.9b | (log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
| 19.3b | (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
| 1× | rewrite-expression-head |
| 75× | *-un-lft-identity_binary64 |
| 73× | add-sqr-sqrt_binary64 times-frac_binary64 |
| 47× | add-cube-cbrt_binary64 |
| 26× | unpow-prod-down_binary64 |
| 19× | associate-/r*_binary64 |
| 15× | add-exp-log_binary64 |
| 14× | cube-prod_binary64 |
| 11× | log-prod_binary64 |
| 10× | difference-of-squares_binary64 sqr-pow_binary64 |
| 9× | add-log-exp_binary64 |
| 8× | add-cbrt-cube_binary64 |
| 6× | frac-sub_binary64 distribute-lft-out_binary64 distribute-lft-out--_binary64 div-exp_binary64 associate-/l*_binary64 |
| 5× | pow1_binary64 cancel-sign-sub-inv_binary64 log-div_binary64 |
| 4× | unpow3_binary64 cube-mult_binary64 |
| 2× | diff-log_binary64 frac-add_binary64 flip3-+_binary64 flip-+_binary64 flip3--_binary64 flip--_binary64 pow-to-exp_binary64 pow-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 |
| 1× | sum-log_binary64 sub-neg_binary64 associate--r+_binary64 log-pow_binary64 rem-log-exp_binary64 |
4 calls:
| 44.0ms | (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
| 37.0ms | (log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
| 5.0ms | (/.f64 1/8 (pow.f64 x 3)) |
| 5.0ms | (/.f64 1/16 (pow.f64 x 5)) |
Compiled 3876 to 3168 computations (18.3% saved)
4 calls:
| 21.0ms | (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
| 16.0ms | (log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
| 11.0ms | (/.f64 1/16 (pow.f64 x 5)) |
| 10.0ms | (/.f64 1/8 (pow.f64 x 3)) |
Compiled 577 to 517 computations (10.4% saved)
| 1× | egg-herbie |
| 496× | log-prod_binary64 |
| 344× | cancel-sign-sub-inv_binary64 |
| 320× | unswap-sqr_binary64 |
| 256× | distribute-rgt-in_binary64 |
| 198× | distribute-rgt-neg-in_binary64 |
| 185× | distribute-lft-neg-in_binary64 |
| 164× | associate-/r*_binary64 |
| 159× | associate-*r*_binary64 |
| 155× | associate-*l*_binary64 |
| 96× | log-div_binary64 |
| 77× | sub-neg_binary64 |
| 72× | distribute-rgt-out_binary64 |
| 67× | cube-prod_binary64 sqr-pow_binary64 |
| 60× | distribute-lft-out_binary64 *-commutative_binary64 |
| 56× | distribute-neg-frac_binary64 |
| 53× | associate-/l*_binary64 |
| 48× | swap-sqr_binary64 |
| 44× | +-commutative_binary64 |
| 43× | exp-prod_binary64 |
| 42× | associate-*l/_binary64 associate-*r/_binary64 |
| 41× | times-frac_binary64 neg-mul-1_binary64 |
| 39× | neg-sub0_binary64 distribute-neg-in_binary64 |
| 38× | log-pow_binary64 |
| 36× | cube-div_binary64 distribute-lft-in_binary64 |
| 33× | distribute-lft-neg-out_binary64 |
| 32× | associate-/l/_binary64 |
| 19× | unpow3_binary64 distribute-rgt-neg-out_binary64 |
| 15× | distribute-rgt-out--_binary64 associate-+l+_binary64 associate-+r+_binary64 |
| 13× | associate-/r/_binary64 |
| 12× | cube-mult_binary64 *-rgt-identity_binary64 |
| 11× | pow-plus_binary64 cube-unmult_binary64 distribute-lft-out--_binary64 associate--r+_binary64 |
| 10× | pow-sqr_binary64 associate--l+_binary64 associate-+r-_binary64 |
| 9× | log-rec_binary64 rem-sqrt-square_binary64 |
| 8× | exp-sum_binary64 |
| 7× | unsub-neg_binary64 |
| 6× | difference-of-squares_binary64 |
| 5× | exp-diff_binary64 /-rgt-identity_binary64 +-rgt-identity_binary64 |
| 4× | prod-exp_binary64 associate-+l-_binary64 |
| 3× | div-exp_binary64 |
| 2× | unpow1/2_binary64 rem-cbrt-cube_binary64 rem-square-sqrt_binary64 *-lft-identity_binary64 distribute-lft1-in_binary64 |
| 1× | unpow2_binary64 unpow1_binary64 1-exp_binary64 rem-exp-log_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 count-2_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 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-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 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 associate--r-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 3953 |
| 1 | 618 | 3726 |
| 2 | 2157 | 3684 |
| 3 | 4632 | 3684 |
| 4 | 5168 | 3684 |
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 0 | 121 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 121 | 4 | 125 |
Compiled 1989 to 1588 computations (20.2% saved)
Total 0.2b remaining (83%)
Threshold costs 0.2b (83%)
Compiled 2817 to 2163 computations (23.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 11 | 8.997640312572469e-20 | 4.376922728436213 | 0.9528134754376202 |
| 9 | -1414.8128857466409 | -1.537821804780756e-05 | -1.0021102368281627 |
Compiled 1 to 1 computations (0% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 11× | *-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 7× | neg-mul-1_binary64 neg-sub0_binary64 |
| 6× | distribute-rgt-neg-in_binary64 |
| 5× | distribute-lft-neg-in_binary64 |
| 2× | unsub-neg_binary64 cancel-sign-sub-inv_binary64 distribute-neg-frac_binary64 distribute-neg-in_binary64 |
| 1× | 1-exp_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 | 33 | 67 |
| 1 | 49 | 67 |
| 2 | 66 | 67 |
| 3 | 92 | 67 |
| 4 | 106 | 67 |
| 5 | 112 | 67 |
| 6 | 114 | 67 |
| 7 | 109 | 67 |
Compiled 45 to 36 computations (20% saved)
| 1× | intervals |
| 904.0ms | 2476× | body | 1024 | valid |
| 399.0ms | 1228× | body | 2048 | valid |
| 259.0ms | 1249× | body | 512 | valid |
| 112.0ms | 2389× | body | 128 | valid |
| 69.0ms | 623× | body | 256 | valid |
| 15.0ms | 35× | body | 4096 | valid |
Compiled 122 to 101 computations (17.2% saved)
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