Time bar (total: 1.5s)
| 1× | search |
| 2× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-*l*_binary64 associate-*r*_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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--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 | 7 | 14 |
| 1 | 13 | 14 |
| 2 | 15 | 14 |
| 3 | 15 | 14 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 37.5% | 12.6% | 7 |
| 56.2% | 31.2% | 12.6% | 8 |
| 62.4% | 18.7% | 18.8% | 9 |
| 65.6% | 15.6% | 18.8% | 10 |
| 68.7% | 9.4% | 22% | 11 |
| 70.2% | 7.8% | 22% | 12 |
| 71.8% | 4.7% | 23.5% | 13 |
| 72.6% | 3.9% | 23.5% | 14 |
Compiled 6 to 5 computations (16.7% saved)
| 1× | intervals |
| 4.0ms | 256× | body | 128 | valid |
| 0.0ms | 4× | body | 128 | invalid |
Compiled 11 to 11 computations (0% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | associate-*l*_binary64 associate-*r*_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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--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 | 5 | 7 |
| 1 | 9 | 7 |
| 2 | 10 | 7 |
| 3 | 10 | 7 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 10 to 8 computations (20% saved)
Found 1 expressions with local error:
| 0.2b | (*.f64 (*.f64 x y) y) |
| 1× | rewrite-expression-head |
| 6× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64 |
| 2× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 1× | add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64 |
1 calls:
| 5.0ms | (*.f64 (*.f64 x y) y) |
Compiled 170 to 51 computations (70% saved)
1 calls:
| 14.0ms | (*.f64 (*.f64 x y) y) |
Compiled 65 to 65 computations (0% saved)
| 1× | egg-herbie |
| 373× | associate-*l*_binary64 |
| 319× | unswap-sqr_binary64 |
| 312× | associate-*r/_binary64 |
| 263× | associate-*l/_binary64 |
| 242× | associate-/l*_binary64 |
| 210× | associate-/l/_binary64 |
| 193× | log-div_binary64 cube-div_binary64 |
| 187× | associate-/r/_binary64 |
| 172× | associate-*r*_binary64 |
| 164× | sqr-pow_binary64 |
| 157× | distribute-rgt-in_binary64 |
| 155× | log-prod_binary64 |
| 147× | exp-prod_binary64 |
| 144× | *-commutative_binary64 |
| 143× | distribute-lft-in_binary64 |
| 103× | associate-/r*_binary64 |
| 83× | associate-+l+_binary64 |
| 62× | pow-sqr_binary64 associate-+r+_binary64 |
| 61× | times-frac_binary64 |
| 52× | cube-prod_binary64 |
| 45× | +-commutative_binary64 |
| 27× | unpow3_binary64 exp-sqrt_binary64 |
| 24× | cube-mult_binary64 |
| 23× | rem-sqrt-square_binary64 |
| 19× | log-pow_binary64 pow-plus_binary64 |
| 18× | swap-sqr_binary64 distribute-lft-out_binary64 |
| 17× | *-rgt-identity_binary64 distribute-rgt-out_binary64 |
| 16× | *-lft-identity_binary64 |
| 10× | unpow1/2_binary64 |
| 9× | fabs-mul_binary64 count-2_binary64 |
| 6× | exp-lft-sqr_binary64 cube-unmult_binary64 |
| 5× | fabs-sqr_binary64 |
| 4× | distribute-rgt1-in_binary64 |
| 3× | unpow2_binary64 distribute-lft1-in_binary64 |
| 2× | log-rec_binary64 |
| 1× | unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_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 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 245 |
| 1 | 93 | 200 |
| 2 | 298 | 200 |
| 3 | 590 | 198 |
| 4 | 878 | 198 |
| 5 | 1703 | 198 |
| 6 | 4166 | 198 |
| 7 | 5067 | 198 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 17 | 2 | 19 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 17 | 3 | 20 |
Compiled 95 to 38 computations (60% saved)
Found 1 expressions with local error:
| 10.5b | (*.f64 x (*.f64 y y)) |
| 1× | rewrite-expression-head |
| 6× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64 |
| 2× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 1× | add-log-exp_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64 |
1 calls:
| 5.0ms | (*.f64 x (*.f64 y y)) |
Compiled 204 to 82 computations (59.8% saved)
1 calls:
| 14.0ms | (*.f64 x (*.f64 y y)) |
Compiled 91 to 91 computations (0% saved)
| 1× | egg-herbie |
| 690× | associate-/l/_binary64 |
| 564× | associate-/r/_binary64 |
| 350× | distribute-rgt-in_binary64 |
| 330× | unswap-sqr_binary64 |
| 315× | distribute-lft-in_binary64 |
| 255× | *-commutative_binary64 |
| 212× | log-prod_binary64 |
| 204× | associate-*l*_binary64 |
| 192× | sqr-pow_binary64 |
| 152× | times-frac_binary64 |
| 138× | associate-*r*_binary64 |
| 117× | associate-/l*_binary64 |
| 116× | associate-+l+_binary64 |
| 87× | pow-sqr_binary64 |
| 73× | associate-+r+_binary64 |
| 58× | distribute-rgt-out_binary64 |
| 55× | exp-prod_binary64 |
| 48× | associate-/r*_binary64 |
| 44× | cube-prod_binary64 |
| 43× | log-div_binary64 |
| 40× | associate-*r/_binary64 |
| 27× | log-pow_binary64 |
| 26× | distribute-lft-out_binary64 |
| 20× | associate-*l/_binary64 |
| 19× | count-2_binary64 |
| 18× | unpow3_binary64 |
| 17× | pow-plus_binary64 *-lft-identity_binary64 |
| 16× | +-commutative_binary64 |
| 14× | cube-mult_binary64 |
| 10× | *-rgt-identity_binary64 |
| 9× | distribute-rgt1-in_binary64 |
| 8× | swap-sqr_binary64 |
| 7× | cube-unmult_binary64 |
| 5× | fabs-mul_binary64 /-rgt-identity_binary64 distribute-lft1-in_binary64 |
| 3× | unpow2_binary64 |
| 2× | fabs-sqr_binary64 |
| 1× | unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 pow-base-0_binary64 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-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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_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-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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 255 |
| 1 | 75 | 210 |
| 2 | 190 | 210 |
| 3 | 428 | 210 |
| 4 | 666 | 210 |
| 5 | 1220 | 210 |
| 6 | 2097 | 210 |
| 7 | 4847 | 210 |
| 8 | 5067 | 210 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 11 | 3 | 14 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 11 | 6 | 17 |
Compiled 106 to 61 computations (42.5% saved)
Found 4 expressions with local error:
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 3.1b | (*.f64 (*.f64 y y) (cbrt.f64 x)) |
| 7.5b | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (*.f64 y y) (cbrt.f64 x))) |
| 1× | rewrite-expression-head |
| 30× | pow1_binary64 add-exp-log_binary64 |
| 18× | pow-prod-down_binary64 prod-exp_binary64 add-cbrt-cube_binary64 cbrt-unprod_binary64 |
| 10× | add-sqr-sqrt_binary64 cbrt-prod_binary64 |
| 8× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 7× | associate-*r*_binary64 |
| 4× | add-log-exp_binary64 |
| 2× | associate-*l*_binary64 *-commutative_binary64 unswap-sqr_binary64 pow1/3_binary64 |
4 calls:
| 12.0ms | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (*.f64 y y) (cbrt.f64 x))) |
| 6.0ms | (*.f64 (*.f64 y y) (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
Compiled 1314 to 339 computations (74.2% saved)
4 calls:
| 38.0ms | (*.f64 (*.f64 y y) (cbrt.f64 x)) |
| 20.0ms | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (*.f64 y y) (cbrt.f64 x))) |
| 16.0ms | (cbrt.f64 x) |
| 15.0ms | (cbrt.f64 x) |
Compiled 614 to 482 computations (21.5% saved)
| 1× | egg-herbie |
| 511× | log-prod_binary64 |
| 486× | exp-prod_binary64 |
| 443× | cube-prod_binary64 |
| 315× | *-commutative_binary64 |
| 237× | unswap-sqr_binary64 |
| 215× | neg-sub0_binary64 |
| 207× | neg-mul-1_binary64 |
| 192× | associate-*l*_binary64 |
| 170× | associate-*r*_binary64 |
| 160× | unsub-neg_binary64 |
| 147× | associate-+l+_binary64 |
| 137× | distribute-rgt-neg-in_binary64 |
| 122× | distribute-lft-neg-in_binary64 |
| 111× | sqr-pow_binary64 |
| 105× | associate-+r+_binary64 |
| 98× | pow-sqr_binary64 |
| 88× | fabs-mul_binary64 distribute-lft-neg-out_binary64 |
| 87× | distribute-rgt-neg-out_binary64 |
| 82× | unpow3_binary64 |
| 77× | associate-/l*_binary64 |
| 64× | rem-sqrt-square_binary64 |
| 58× | swap-sqr_binary64 |
| 57× | cube-mult_binary64 |
| 56× | sqr-neg_binary64 |
| 49× | distribute-rgt-in_binary64 |
| 46× | distribute-lft-in_binary64 |
| 42× | exp-diff_binary64 cancel-sign-sub-inv_binary64 |
| 38× | cube-neg_binary64 |
| 37× | times-frac_binary64 |
| 36× | associate-/r*_binary64 |
| 35× | div-sub_binary64 |
| 34× | exp-sum_binary64 |
| 29× | sub-neg_binary64 |
| 25× | log-pow_binary64 |
| 21× | mul0-rgt_binary64 mul0-lft_binary64 |
| 20× | remove-double-neg_binary64 |
| 19× | pow-plus_binary64 |
| 17× | *-rgt-identity_binary64 |
| 16× | cube-unmult_binary64 |
| 14× | +-commutative_binary64 |
| 13× | fabs-sub_binary64 |
| 12× | fabs-sqr_binary64 *-lft-identity_binary64 |
| 11× | associate-/l/_binary64 associate-*r/_binary64 |
| 10× | distribute-lft-out_binary64 |
| 9× | associate-/r/_binary64 |
| 8× | count-2_binary64 |
| 6× | unpow1/2_binary64 distribute-rgt-out_binary64 |
| 5× | mul-1-neg_binary64 |
| 4× | fabs-neg_binary64 |
| 3× | sqr-abs_binary64 |
| 2× | unpow1/3_binary64 unpow2_binary64 exp-neg_binary64 rem-cbrt-cube_binary64 distribute-frac-neg_binary64 |
| 1× | unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 fabs-fabs_binary64 /-rgt-identity_binary64 div0_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 fabs-div_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_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-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1292 |
| 1 | 205 | 780 |
| 2 | 748 | 759 |
| 3 | 1480 | 745 |
| 4 | 3243 | 724 |
| 5 | 4457 | 724 |
| 6 | 4936 | 724 |
| 7 | 4878 | 724 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 0 | 63 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 63 | 6 | 69 |
Compiled 383 to 176 computations (54% saved)
Found 3 expressions with local error:
| 0.1b | (*.f64 y (sqrt.f64 x)) |
| 0.1b | (*.f64 y (sqrt.f64 x)) |
| 0.2b | (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
| 1× | rewrite-expression-head |
| 46× | pow1_binary64 |
| 19× | pow-prod-down_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 17× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | prod-exp_binary64 cbrt-unprod_binary64 |
| 9× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 8× | sqrt-prod_binary64 |
| 7× | associate-*l*_binary64 |
| 4× | pow-prod-up_binary64 pow-sqr_binary64 unswap-sqr_binary64 |
| 3× | add-log-exp_binary64 *-commutative_binary64 |
| 2× | pow-plus_binary64 |
| 1× | pow2_binary64 swap-sqr_binary64 |
3 calls:
| 8.0ms | (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
| 5.0ms | (*.f64 y (sqrt.f64 x)) |
| 5.0ms | (*.f64 y (sqrt.f64 x)) |
Compiled 997 to 270 computations (72.9% saved)
3 calls:
| 17.0ms | (*.f64 y (sqrt.f64 x)) |
| 16.0ms | (*.f64 y (sqrt.f64 x)) |
| 15.0ms | (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) |
Compiled 441 to 357 computations (19% saved)
| 1× | egg-herbie |
| 579× | unswap-sqr_binary64 |
| 543× | distribute-rgt-in_binary64 |
| 499× | distribute-lft-in_binary64 |
| 384× | log-div_binary64 |
| 276× | associate-+l+_binary64 |
| 239× | log-prod_binary64 |
| 238× | *-commutative_binary64 |
| 224× | associate-/l*_binary64 |
| 218× | associate-/l/_binary64 |
| 210× | sqr-pow_binary64 |
| 202× | exp-prod_binary64 |
| 180× | associate-/r/_binary64 |
| 155× | associate-+r+_binary64 |
| 117× | associate-*l*_binary64 |
| 104× | associate-*r*_binary64 |
| 99× | cube-div_binary64 |
| 90× | swap-sqr_binary64 |
| 86× | pow-sqr_binary64 |
| 50× | times-frac_binary64 |
| 35× | cube-prod_binary64 |
| 33× | associate-*r/_binary64 |
| 28× | distribute-rgt-out_binary64 distribute-lft-out_binary64 |
| 27× | fabs-mul_binary64 |
| 25× | rem-sqrt-square_binary64 |
| 23× | log-rec_binary64 |
| 21× | associate-/r*_binary64 |
| 19× | exp-sqrt_binary64 +-commutative_binary64 |
| 18× | log-pow_binary64 unpow3_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 |
| 14× | cube-mult_binary64 |
| 12× | unpow1/2_binary64 pow-plus_binary64 exp-lft-sqr_binary64 |
| 9× | prod-exp_binary64 cube-unmult_binary64 distribute-rgt1-in_binary64 count-2_binary64 |
| 6× | fabs-div_binary64 fabs-sqr_binary64 associate-*l/_binary64 |
| 5× | unpow2_binary64 distribute-lft1-in_binary64 |
| 4× | unpow1_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_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 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 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_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-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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 811 |
| 1 | 133 | 705 |
| 2 | 435 | 700 |
| 3 | 691 | 700 |
| 4 | 1129 | 700 |
| 5 | 2375 | 700 |
| 6 | 4666 | 700 |
| 7 | 4289 | 700 |
| 8 | 4989 | 700 |
| 9 | 5000 | 700 |
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 2 | 64 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 62 | 8 | 70 |
Compiled 261 to 98 computations (62.5% saved)
Total 0.1b remaining (72.8%)
Threshold costs 0.1b (72.8%)
Compiled 1295 to 796 computations (38.5% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 7 | 7 |
| 2 | 7 | 7 |
Compiled 5 to 4 computations (20% saved)
| 1× | intervals |
| 148.0ms | 8000× | body | 128 | valid |
| 3.0ms | 179× | body | 128 | invalid |
Compiled 101 to 75 computations (25.7% saved)
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