Time bar (total: 3.5s)
| 1× | search |
| 2× | egg-herbie |
| 40× | +-commutative_binary64 |
| 19× | associate-+l+_binary64 associate-+r+_binary64 |
| 14× | distribute-rgt-in_binary64 distribute-lft-in_binary64 |
| 13× | *-commutative_binary64 |
| 12× | associate-*l*_binary64 |
| 6× | 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 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 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 91 |
| 1 | 55 | 91 |
| 2 | 97 | 91 |
| 3 | 147 | 91 |
| 4 | 147 | 91 |
| 5 | 147 | 91 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 3.1% | 96.7% | 0.2% | 8 |
| 7.8% | 92% | 0.2% | 9 |
| 11.7% | 88.1% | 0.2% | 10 |
| 24.2% | 64.7% | 11.1% | 11 |
| 27.9% | 59.8% | 12.3% | 12 |
| 35% | 52.5% | 12.5% | 13 |
| 38.6% | 48.2% | 13.2% | 14 |
Compiled 10 to 9 computations (10% saved)
| 1× | intervals |
| 12.0ms | 256× | body | 128 | valid |
| 1.0ms | 42× | body | 128 | invalid |
Compiled 19 to 21 computations (-10.5% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 4× | associate-+l+_binary64 associate-+r+_binary64 |
| 3× | *-commutative_binary64 |
| 2× | distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l*_binary64 |
| 1× | 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 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 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 13 | 13 |
| 2 | 21 | 13 |
| 3 | 30 | 13 |
| 4 | 30 | 13 |
| 5 | 30 | 13 |
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 18 to 16 computations (11.1% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 (*.f64 x y) z) |
| 0.1b | (*.f64 (+.f64 (*.f64 x y) z) y) |
| 1× | rewrite-expression-head |
| 6× | add-sqr-sqrt_binary64 |
| 4× | pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 3× | associate-*l*_binary64 associate-*r*_binary64 |
| 2× | flip3-+_binary64 associate-*l/_binary64 flip-+_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64 |
2 calls:
| 7.0ms | (*.f64 (+.f64 (*.f64 x y) z) y) |
| 4.0ms | (+.f64 (*.f64 x y) z) |
Compiled 498 to 131 computations (73.7% saved)
2 calls:
| 33.0ms | (*.f64 (+.f64 (*.f64 x y) z) y) |
| 25.0ms | (+.f64 (*.f64 x y) z) |
Compiled 509 to 468 computations (8.1% saved)
| 1× | egg-herbie |
| 490× | associate-+l+_binary64 |
| 413× | associate-+r+_binary64 |
| 338× | unswap-sqr_binary64 |
| 306× | associate-*l*_binary64 *-commutative_binary64 |
| 239× | associate-*r*_binary64 |
| 227× | distribute-rgt-out_binary64 |
| 203× | cancel-sign-sub-inv_binary64 |
| 191× | sqr-pow_binary64 |
| 149× | distribute-rgt-in_binary64 |
| 148× | sub-neg_binary64 |
| 142× | distribute-lft-in_binary64 |
| 140× | neg-mul-1_binary64 |
| 129× | distribute-rgt-neg-in_binary64 |
| 125× | +-commutative_binary64 |
| 121× | exp-prod_binary64 |
| 104× | unsub-neg_binary64 |
| 102× | distribute-lft-neg-in_binary64 |
| 80× | neg-sub0_binary64 |
| 62× | pow-sqr_binary64 |
| 57× | cube-prod_binary64 |
| 54× | distribute-neg-in_binary64 |
| 49× | distribute-lft-out_binary64 associate-+l-_binary64 |
| 40× | exp-sum_binary64 times-frac_binary64 |
| 39× | log-prod_binary64 cancel-sign-sub_binary64 associate--r+_binary64 |
| 36× | distribute-rgt-out--_binary64 |
| 34× | distribute-neg-out_binary64 |
| 33× | associate-+r-_binary64 |
| 30× | div-sub_binary64 |
| 28× | rem-sqrt-square_binary64 swap-sqr_binary64 |
| 27× | distribute-lft-neg-out_binary64 |
| 26× | difference-of-squares_binary64 |
| 25× | sub0-neg_binary64 |
| 24× | *-rgt-identity_binary64 *-lft-identity_binary64 associate-/l*_binary64 |
| 19× | associate-/l/_binary64 |
| 18× | distribute-rgt-neg-out_binary64 |
| 16× | remove-double-neg_binary64 |
| 15× | unpow3_binary64 exp-diff_binary64 |
| 14× | unpow1/2_binary64 |
| 12× | +-rgt-identity_binary64 |
| 11× | cube-unmult_binary64 +-lft-identity_binary64 associate--l+_binary64 |
| 10× | pow-plus_binary64 associate-/r/_binary64 associate-*r/_binary64 |
| 8× | associate-/r*_binary64 |
| 7× | cube-mult_binary64 cube-neg_binary64 sqr-neg_binary64 associate--r-_binary64 |
| 6× | log-pow_binary64 |
| 4× | unpow2_binary64 distribute-rgt1-in_binary64 |
| 3× | count-2_binary64 associate-*l/_binary64 associate--l-_binary64 |
| 2× | distribute-lft-out--_binary64 |
| 1× | unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 /-rgt-identity_binary64 --rgt-identity_binary64 mul0-rgt_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_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-exp-log_binary64 cube-div_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 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 distribute-neg-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 727 |
| 1 | 149 | 637 |
| 2 | 436 | 634 |
| 3 | 1276 | 634 |
| 4 | 1936 | 634 |
| 5 | 4119 | 634 |
| 6 | 4669 | 634 |
| 7 | 4989 | 634 |
| 8 | 4889 | 634 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 3 | 53 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 4 | 54 |
Compiled 458 to 153 computations (66.6% saved)
Found 1 expressions with local error:
| 9.1b | (*.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 68 computations (66.7% saved)
1 calls:
| 17.0ms | (*.f64 x (*.f64 y y)) |
Compiled 91 to 104 computations (-14.3% 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 |
| 209× | 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 |
| 53× | exp-prod_binary64 |
| 48× | associate-/r*_binary64 |
| 43× | log-div_binary64 |
| 42× | cube-prod_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× | /-rgt-identity_binary64 distribute-lft1-in_binary64 |
| 3× | unpow2_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 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 | 1218 | 210 |
| 6 | 2094 | 210 |
| 7 | 4843 | 210 |
| 8 | 5061 | 210 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 13 | 1 | 14 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 13 | 5 | 18 |
Compiled 123 to 64 computations (48% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 y (+.f64 z (*.f64 y x))) |
| 0.2b | (*.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))) |
| 7.9b | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 7.9b | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 1× | rewrite-expression-head |
| 61× | pow1_binary64 |
| 32× | sqrt-pow1_binary64 |
| 23× | pow-prod-down_binary64 |
| 20× | associate-*r/_binary64 |
| 16× | sqrt-div_binary64 |
| 14× | add-sqr-sqrt_binary64 |
| 12× | pow1/2_binary64 |
| 10× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 pow-prod-up_binary64 |
| 9× | flip3-+_binary64 flip-+_binary64 |
| 8× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 7× | associate-*l*_binary64 associate-*r*_binary64 |
| 6× | sqrt-prod_binary64 pow-sqr_binary64 |
| 4× | add-log-exp_binary64 frac-times_binary64 swap-sqr_binary64 |
| 2× | prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 associate-*l/_binary64 *-commutative_binary64 |
| 1× | pow2_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-square-sqrt_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 |
4 calls:
| 13.0ms | (*.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))) |
| 5.0ms | (*.f64 y (+.f64 z (*.f64 y x))) |
| 4.0ms | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 4.0ms | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
Compiled 2440 to 433 computations (82.3% saved)
4 calls:
| 47.0ms | (*.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))) |
| 38.0ms | (*.f64 y (+.f64 z (*.f64 y x))) |
| 35.0ms | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 33.0ms | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
Compiled 2201 to 1639 computations (25.5% saved)
| 1× | egg-herbie |
| 882× | unswap-sqr_binary64 |
| 463× | times-frac_binary64 |
| 340× | *-commutative_binary64 |
| 313× | distribute-rgt-in_binary64 |
| 303× | distribute-lft-in_binary64 |
| 176× | associate-*l*_binary64 |
| 165× | associate-*r*_binary64 |
| 138× | exp-prod_binary64 |
| 95× | sqr-pow_binary64 |
| 78× | log-prod_binary64 |
| 72× | cancel-sign-sub-inv_binary64 |
| 71× | cube-prod_binary64 sub-neg_binary64 |
| 65× | distribute-rgt-neg-in_binary64 |
| 60× | pow-sqr_binary64 |
| 53× | associate-/l*_binary64 |
| 49× | distribute-lft-neg-in_binary64 |
| 41× | neg-mul-1_binary64 |
| 40× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 38× | rem-sqrt-square_binary64 |
| 37× | neg-sub0_binary64 |
| 32× | associate-/r*_binary64 |
| 29× | /-rgt-identity_binary64 |
| 26× | associate-+l+_binary64 |
| 20× | pow-plus_binary64 associate-+r+_binary64 |
| 19× | +-commutative_binary64 |
| 18× | unpow3_binary64 |
| 17× | swap-sqr_binary64 |
| 15× | associate-*l/_binary64 |
| 14× | unsub-neg_binary64 |
| 12× | cube-unmult_binary64 associate-*r/_binary64 associate-+l-_binary64 |
| 11× | log-pow_binary64 cube-mult_binary64 distribute-rgt-out_binary64 associate-+r-_binary64 |
| 10× | distribute-lft-neg-out_binary64 distribute-lft-out_binary64 |
| 9× | +-rgt-identity_binary64 |
| 8× | exp-sum_binary64 rem-square-sqrt_binary64 |
| 7× | unpow1/2_binary64 distribute-rgt-out--_binary64 |
| 6× | sub0-neg_binary64 |
| 5× | unpow2_binary64 associate-/r/_binary64 |
| 4× | cube-div_binary64 count-2_binary64 |
| 3× | distribute-lft-out--_binary64 associate--r+_binary64 |
| 2× | unpow1_binary64 mul-1-neg_binary64 remove-double-neg_binary64 remove-double-div_binary64 difference-of-squares_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 associate-/l/_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_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 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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_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 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-rgt1-in_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 2336 |
| 1 | 296 | 2208 |
| 2 | 1100 | 2155 |
| 3 | 2615 | 2139 |
| 4 | 4803 | 2013 |
| 5 | 4955 | 2013 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 1 | 115 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 114 | 6 | 120 |
Compiled 1222 to 326 computations (73.3% saved)
Found 4 expressions with local error:
| 0.2b | (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3) |
| 7.9b | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 7.9b | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 13.5b | (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3)) |
| 1× | rewrite-expression-head |
| 14× | pow1_binary64 cbrt-prod_binary64 |
| 10× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 8× | associate-*r/_binary64 sqrt-div_binary64 unpow-prod-down_binary64 cube-prod_binary64 |
| 6× | sqrt-prod_binary64 sqrt-pow1_binary64 |
| 5× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 flip3-+_binary64 cube-div_binary64 flip-+_binary64 pow-pow_binary64 |
| 3× | pow1/2_binary64 pow-prod-down_binary64 pow-unpow_binary64 |
| 2× | cbrt-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 |
| 1× | pow1/3_binary64 rem-cbrt-cube_binary64 pow-to-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64 sqrt-pow2_binary64 |
4 calls:
| 6.0ms | (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3) |
| 4.0ms | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 4.0ms | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 4.0ms | (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3)) |
Compiled 2122 to 564 computations (73.4% saved)
4 calls:
| 241.0ms | (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3)) |
| 64.0ms | (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3) |
| 39.0ms | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
| 29.0ms | (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) |
Compiled 3125 to 2321 computations (25.7% saved)
| 1× | egg-herbie |
| 529× | cancel-sign-sub-inv_binary64 |
| 370× | *-commutative_binary64 |
| 368× | unswap-sqr_binary64 |
| 279× | exp-prod_binary64 |
| 237× | log-prod_binary64 |
| 208× | distribute-rgt-neg-in_binary64 |
| 193× | distribute-lft-neg-in_binary64 |
| 191× | sqr-pow_binary64 |
| 140× | associate-*r*_binary64 |
| 131× | cube-prod_binary64 |
| 130× | sub-neg_binary64 |
| 123× | associate-*l*_binary64 |
| 106× | unpow3_binary64 |
| 97× | times-frac_binary64 |
| 87× | distribute-rgt-in_binary64 |
| 72× | distribute-lft-in_binary64 |
| 69× | neg-sub0_binary64 |
| 67× | swap-sqr_binary64 |
| 65× | neg-mul-1_binary64 |
| 59× | log-pow_binary64 |
| 44× | pow-sqr_binary64 |
| 41× | rem-sqrt-square_binary64 |
| 38× | pow-plus_binary64 |
| 37× | +-commutative_binary64 |
| 31× | exp-sum_binary64 associate-+l-_binary64 associate-+l+_binary64 |
| 27× | cube-mult_binary64 |
| 26× | distribute-rgt-out--_binary64 |
| 24× | associate-/l*_binary64 |
| 23× | associate-/r*_binary64 |
| 22× | distribute-lft-neg-out_binary64 associate-+r-_binary64 associate-+r+_binary64 |
| 21× | distribute-neg-frac_binary64 associate--r+_binary64 |
| 20× | unsub-neg_binary64 |
| 19× | cube-unmult_binary64 |
| 18× | +-rgt-identity_binary64 |
| 17× | associate-*r/_binary64 |
| 16× | distribute-neg-in_binary64 |
| 14× | sub0-neg_binary64 |
| 13× | distribute-rgt-out_binary64 |
| 12× | difference-of-squares_binary64 |
| 11× | distribute-rgt-neg-out_binary64 |
| 10× | rem-cbrt-cube_binary64 |
| 9× | associate-*l/_binary64 |
| 8× | rem-square-sqrt_binary64 associate--l+_binary64 |
| 7× | associate-/r/_binary64 |
| 6× | unpow2_binary64 |
| 4× | unpow1/2_binary64 unpow1_binary64 mul-1-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 |
| 3× | distribute-lft-out--_binary64 count-2_binary64 associate-/l/_binary64 associate--l-_binary64 |
| 2× | div-sub_binary64 |
| 1× | 1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_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 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 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 sqr-abs_binary64 sqr-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 associate--r-_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 2166 |
| 1 | 403 | 2146 |
| 2 | 1155 | 2121 |
| 3 | 2831 | 2112 |
| 4 | 4688 | 2109 |
| 5 | 4987 | 2109 |
| 6 | 4931 | 2109 |
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 0 | 91 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 91 | 6 | 97 |
Compiled 1387 to 446 computations (67.8% saved)
Total 0.0b remaining (65.3%)
Threshold costs 0.0b (65.3%)
Compiled 6148 to 4166 computations (32.2% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 +-commutative_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 13 | 13 |
| 2 | 13 | 13 |
Compiled 9 to 8 computations (11.1% saved)
| 1× | intervals |
| 257.0ms | 8000× | body | 128 | valid |
| 49.0ms | 1725× | body | 128 | invalid |
Compiled 121 to 102 computations (15.7% saved)
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