Time bar (total: 1.7s)
| 1× | search |
| 2× | egg-herbie |
| 71× | distribute-rgt-in_binary64 |
| 53× | unsub-neg_binary64 |
| 46× | distribute-lft-in_binary64 |
| 38× | associate-*r*_binary64 |
| 37× | sub-neg_binary64 |
| 34× | cancel-sign-sub-inv_binary64 associate-*l*_binary64 |
| 22× | neg-mul-1_binary64 +-lft-identity_binary64 |
| 21× | neg-sub0_binary64 |
| 19× | associate--r+_binary64 |
| 17× | distribute-lft-neg-out_binary64 |
| 15× | sub0-neg_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-neg-in_binary64 associate-+l-_binary64 |
| 12× | mul0-rgt_binary64 mul0-lft_binary64 |
| 8× | --rgt-identity_binary64 *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 6× | remove-double-neg_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 |
| 5× | associate-+l+_binary64 associate-+r+_binary64 |
| 4× | *-rgt-identity_binary64 *-lft-identity_binary64 swap-sqr_binary64 distribute-neg-in_binary64 distribute-lft-neg-in_binary64 associate--r-_binary64 |
| 3× | associate--l+_binary64 |
| 2× | sqr-neg_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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-rgt-identity_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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--l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 21 | 20 |
| 2 | 41 | 20 |
| 3 | 78 | 20 |
| 4 | 167 | 20 |
| 5 | 191 | 20 |
| 6 | 214 | 20 |
| 7 | 342 | 20 |
| 8 | 336 | 20 |
| 9 | 323 | 20 |
| 10 | 321 | 20 |
| 11 | 274 | 20 |
| 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% | 50% | 12.6% | 6 |
| 50% | 37.5% | 12.6% | 7 |
| 56.2% | 25% | 18.8% | 8 |
| 62.4% | 18.7% | 18.8% | 9 |
| 65.6% | 12.5% | 22% | 10 |
| 68.7% | 9.4% | 22% | 11 |
| 70.2% | 6.2% | 23.5% | 12 |
| 71.8% | 4.7% | 23.5% | 13 |
| 72.6% | 3.1% | 24.3% | 14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
| 0.0ms | 2× | body | 128 | invalid |
Compiled 15 to 15 computations (0% saved)
| 1× | egg-herbie |
| 35× | distribute-rgt-in_binary64 |
| 25× | unsub-neg_binary64 sub-neg_binary64 |
| 22× | distribute-lft-in_binary64 |
| 21× | associate-*r*_binary64 |
| 20× | associate-*l*_binary64 |
| 19× | cancel-sign-sub-inv_binary64 |
| 16× | neg-mul-1_binary64 |
| 15× | neg-sub0_binary64 |
| 12× | +-lft-identity_binary64 distribute-rgt-neg-in_binary64 associate--r+_binary64 |
| 10× | sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-neg-out_binary64 associate-+l-_binary64 |
| 8× | distribute-rgt-neg-out_binary64 |
| 7× | +-commutative_binary64 |
| 6× | --rgt-identity_binary64 *-commutative_binary64 |
| 5× | *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 |
| 3× | distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 |
| 2× | swap-sqr_binary64 distribute-neg-in_binary64 associate--r-_binary64 associate--l+_binary64 |
| 1× | 1-exp_binary64 sqr-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 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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-rgt-identity_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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--l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 16 | 10 |
| 2 | 31 | 10 |
| 3 | 56 | 10 |
| 4 | 115 | 10 |
| 5 | 137 | 10 |
| 6 | 151 | 10 |
| 7 | 218 | 10 |
| 8 | 231 | 10 |
| 9 | 228 | 10 |
| 10 | 227 | 10 |
| 11 | 184 | 10 |
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 7 to 6 computations (14.3% saved)
Found 1 expressions with local error:
| 0.1b | (*.f64 x (-.f64 1 (*.f64 x y))) |
| 1× | rewrite-expression-head |
| 5× | add-sqr-sqrt_binary64 |
| 3× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 2× | sub-neg_binary64 distribute-rgt-in_binary64 cancel-sign-sub-inv_binary64 distribute-lft-in_binary64 associate-*r/_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64 |
1 calls:
| 6.0ms | (*.f64 x (-.f64 1 (*.f64 x y))) |
Compiled 322 to 167 computations (48.1% saved)
1 calls:
| 22.0ms | (*.f64 x (-.f64 1 (*.f64 x y))) |
Compiled 129 to 115 computations (10.9% saved)
| 1× | egg-herbie |
| 554× | unsub-neg_binary64 |
| 551× | distribute-neg-out_binary64 |
| 313× | associate-*l*_binary64 |
| 293× | unswap-sqr_binary64 |
| 269× | *-commutative_binary64 |
| 239× | associate-*r*_binary64 |
| 211× | associate-+l+_binary64 |
| 172× | cancel-sign-sub-inv_binary64 |
| 165× | neg-sub0_binary64 |
| 159× | exp-prod_binary64 |
| 155× | neg-mul-1_binary64 |
| 122× | associate-+r+_binary64 |
| 112× | times-frac_binary64 distribute-rgt-neg-out_binary64 |
| 108× | distribute-rgt-in_binary64 |
| 105× | distribute-lft-neg-out_binary64 |
| 101× | distribute-lft-in_binary64 |
| 100× | sqr-pow_binary64 |
| 96× | distribute-rgt-neg-in_binary64 |
| 90× | distribute-lft-neg-in_binary64 |
| 64× | sub-neg_binary64 |
| 59× | distribute-neg-in_binary64 |
| 51× | exp-sum_binary64 |
| 42× | cube-prod_binary64 |
| 30× | +-commutative_binary64 |
| 28× | *-lft-identity_binary64 cancel-sign-sub_binary64 |
| 26× | exp-diff_binary64 |
| 25× | swap-sqr_binary64 |
| 22× | log-prod_binary64 |
| 21× | associate-+l-_binary64 |
| 20× | *-rgt-identity_binary64 |
| 13× | rem-sqrt-square_binary64 sub0-neg_binary64 pow-sqr_binary64 |
| 12× | distribute-lft-out_binary64 associate-+r-_binary64 |
| 11× | unpow3_binary64 cube-unmult_binary64 |
| 10× | div-sub_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out_binary64 associate-/l*_binary64 |
| 9× | unpow1/2_binary64 +-rgt-identity_binary64 difference-of-squares_binary64 |
| 8× | pow-plus_binary64 |
| 7× | sqr-neg_binary64 difference-of-sqr-1_binary64 |
| 6× | exp-neg_binary64 cube-mult_binary64 mul-1-neg_binary64 distribute-neg-frac_binary64 |
| 4× | log-pow_binary64 cube-neg_binary64 |
| 3× | distribute-frac-neg_binary64 distribute-rgt-out--_binary64 |
| 2× | remove-double-neg_binary64 difference-of-sqr--1_binary64 count-2_binary64 |
| 1× | unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 --rgt-identity_binary64 distribute-lft-out--_binary64 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-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 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 /-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 441 |
| 1 | 132 | 399 |
| 2 | 387 | 398 |
| 3 | 1161 | 396 |
| 4 | 2026 | 396 |
| 5 | 4803 | 396 |
| 6 | 5098 | 396 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 22 | 6 | 28 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 22 | 7 | 29 |
Compiled 268 to 118 computations (56% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 25× | cbrt-prod_binary64 |
| 23× | add-sqr-sqrt_binary64 |
| 15× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 11× | pow1_binary64 |
| 9× | pow1/3_binary64 |
| 6× | add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 |
| 2× | pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 |
| 1× | pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 |
4 calls:
| 6.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
Compiled 1283 to 425 computations (66.9% saved)
4 calls:
| 20.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 19.0ms | (cbrt.f64 x) |
| 17.0ms | (cbrt.f64 x) |
| 17.0ms | (cbrt.f64 x) |
Compiled 532 to 391 computations (26.5% saved)
| 1× | egg-herbie |
| 586× | log-prod_binary64 |
| 416× | sqr-pow_binary64 |
| 335× | associate-*l*_binary64 |
| 309× | *-commutative_binary64 |
| 277× | distribute-rgt-neg-in_binary64 |
| 257× | distribute-lft-neg-in_binary64 |
| 227× | associate-*r*_binary64 |
| 188× | exp-prod_binary64 |
| 161× | log-pow_binary64 |
| 149× | cube-prod_binary64 |
| 128× | pow-sqr_binary64 |
| 124× | unswap-sqr_binary64 |
| 111× | swap-sqr_binary64 |
| 104× | associate-/l*_binary64 |
| 81× | cancel-sign-sub-inv_binary64 |
| 75× | associate-+l+_binary64 |
| 69× | associate-+r+_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 60× | distribute-lft-out_binary64 |
| 57× | distribute-lft-in_binary64 |
| 54× | neg-sub0_binary64 |
| 53× | neg-mul-1_binary64 |
| 48× | distribute-rgt-out_binary64 |
| 45× | +-commutative_binary64 |
| 43× | pow-plus_binary64 rem-sqrt-square_binary64 |
| 41× | times-frac_binary64 sub-neg_binary64 |
| 37× | associate-/r/_binary64 |
| 35× | associate-*r/_binary64 |
| 32× | unpow3_binary64 |
| 31× | *-rgt-identity_binary64 *-lft-identity_binary64 associate-/l/_binary64 |
| 29× | count-2_binary64 |
| 27× | cube-mult_binary64 |
| 24× | associate-/r*_binary64 |
| 17× | log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64 |
| 13× | cube-unmult_binary64 distribute-rgt1-in_binary64 |
| 11× | distribute-rgt-neg-out_binary64 |
| 10× | unpow1/2_binary64 |
| 9× | distribute-lft-neg-out_binary64 distribute-lft1-in_binary64 |
| 8× | unpow2_binary64 associate-*l/_binary64 |
| 5× | unpow1_binary64 |
| 3× | unpow1/3_binary64 |
| 2× | exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 |
| 1× | exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_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 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-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-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 718 |
| 1 | 97 | 666 |
| 2 | 308 | 646 |
| 3 | 1135 | 632 |
| 4 | 2034 | 548 |
| 5 | 3257 | 548 |
| 6 | 4939 | 548 |
| 7 | 4873 | 548 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 2 | 50 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 49 | 8 | 57 |
Compiled 557 to 285 computations (48.8% saved)
Found 4 expressions with local error:
| 0.7b | (cbrt.f64 (cbrt.f64 x)) |
| 0.7b | (cbrt.f64 (cbrt.f64 x)) |
| 0.7b | (cbrt.f64 (cbrt.f64 x)) |
| 0.9b | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) |
| 1× | rewrite-expression-head |
| 36× | cbrt-prod_binary64 |
| 14× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 9× | unpow-prod-down_binary64 |
| 5× | pow1_binary64 add-exp-log_binary64 |
| 4× | pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 |
| 3× | pow-unpow_binary64 |
| 2× | pow-pow_binary64 |
| 1× | pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64 |
4 calls:
| 4.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) |
| 2.0ms | (cbrt.f64 (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 (cbrt.f64 x)) |
Compiled 1772 to 630 computations (64.4% saved)
4 calls:
| 30.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) |
| 24.0ms | (cbrt.f64 (cbrt.f64 x)) |
| 22.0ms | (cbrt.f64 (cbrt.f64 x)) |
| 22.0ms | (cbrt.f64 (cbrt.f64 x)) |
Compiled 788 to 526 computations (33.2% saved)
| 1× | egg-herbie |
| 658× | distribute-rgt-in_binary64 |
| 556× | distribute-lft-in_binary64 |
| 387× | sqr-pow_binary64 |
| 275× | *-commutative_binary64 |
| 255× | unswap-sqr_binary64 |
| 205× | cube-prod_binary64 |
| 172× | log-prod_binary64 exp-prod_binary64 |
| 135× | pow-sqr_binary64 |
| 105× | associate-*l*_binary64 |
| 94× | associate-/l*_binary64 |
| 92× | associate-*r*_binary64 |
| 90× | distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
| 76× | associate-+l+_binary64 |
| 74× | distribute-rgt-out_binary64 |
| 62× | distribute-lft-out_binary64 |
| 61× | pow-plus_binary64 |
| 60× | associate-+r+_binary64 |
| 56× | swap-sqr_binary64 |
| 46× | log-pow_binary64 |
| 41× | cube-unmult_binary64 |
| 38× | unpow3_binary64 |
| 34× | rem-sqrt-square_binary64 |
| 33× | cube-mult_binary64 |
| 32× | times-frac_binary64 |
| 31× | associate-/l/_binary64 |
| 28× | associate-/r*_binary64 |
| 21× | associate-*r/_binary64 |
| 16× | associate-/r/_binary64 |
| 14× | unpow2_binary64 |
| 13× | *-rgt-identity_binary64 |
| 12× | unpow1/2_binary64 unpow1_binary64 neg-sub0_binary64 cancel-sign-sub-inv_binary64 |
| 10× | neg-mul-1_binary64 |
| 9× | rem-3cbrt-rft_binary64 *-lft-identity_binary64 |
| 6× | count-2_binary64 |
| 4× | sub-neg_binary64 distribute-rgt1-in_binary64 associate-*l/_binary64 |
| 3× | /-rgt-identity_binary64 |
| 2× | unpow1/3_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 |
| 1× | 1-exp_binary64 rem-3cbrt-lft_binary64 sub0-neg_binary64 --rgt-identity_binary64 distribute-lft1-in_binary64 associate-+l-_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 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 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-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 unsub-neg_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 difference-of-squares_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-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 889 |
| 1 | 127 | 800 |
| 2 | 253 | 791 |
| 3 | 637 | 786 |
| 4 | 1251 | 773 |
| 5 | 2328 | 773 |
| 6 | 4822 | 773 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 0 | 34 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 34 | 8 | 42 |
Compiled 588 to 273 computations (53.6% saved)
Found 2 expressions with local error:
| 0.0b | (-.f64 x (*.f64 (*.f64 x x) y)) |
| 9.2b | (*.f64 (*.f64 x x) y) |
| 1× | rewrite-expression-head |
| 7× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 add-sqr-sqrt_binary64 |
| 3× | pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 *-un-lft-identity_binary64 associate-*r*_binary64 |
| 1× | unswap-sqr_binary64 associate-*l*_binary64 *-commutative_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64 |
2 calls:
| 6.0ms | (*.f64 (*.f64 x x) y) |
| 3.0ms | (-.f64 x (*.f64 (*.f64 x x) y)) |
Compiled 400 to 107 computations (73.3% saved)
2 calls:
| 23.0ms | (-.f64 x (*.f64 (*.f64 x x) y)) |
| 16.0ms | (*.f64 (*.f64 x x) y) |
Compiled 213 to 187 computations (12.2% saved)
| 1× | egg-herbie |
| 466× | associate-*r*_binary64 |
| 377× | unsub-neg_binary64 |
| 366× | distribute-rgt-neg-in_binary64 |
| 337× | distribute-lft-neg-in_binary64 |
| 309× | unswap-sqr_binary64 |
| 305× | cancel-sign-sub-inv_binary64 |
| 302× | distribute-rgt-in_binary64 |
| 265× | distribute-lft-in_binary64 |
| 242× | times-frac_binary64 |
| 199× | sub-neg_binary64 |
| 177× | neg-mul-1_binary64 |
| 171× | neg-sub0_binary64 |
| 139× | sqr-pow_binary64 |
| 131× | exp-prod_binary64 |
| 96× | pow-sqr_binary64 |
| 91× | associate-*l*_binary64 |
| 89× | *-commutative_binary64 |
| 80× | mul0-rgt_binary64 mul0-lft_binary64 |
| 78× | distribute-rgt-out_binary64 |
| 73× | log-prod_binary64 |
| 69× | exp-sum_binary64 |
| 62× | cube-prod_binary64 |
| 49× | associate-+l+_binary64 |
| 45× | associate-+r+_binary64 |
| 42× | distribute-rgt-neg-out_binary64 |
| 40× | distribute-lft-neg-out_binary64 |
| 38× | distribute-rgt-out--_binary64 distribute-lft-out_binary64 |
| 34× | +-rgt-identity_binary64 |
| 28× | unpow3_binary64 |
| 24× | exp-diff_binary64 *-lft-identity_binary64 +-commutative_binary64 |
| 22× | pow-plus_binary64 cube-mult_binary64 |
| 21× | div-sub_binary64 |
| 20× | rem-sqrt-square_binary64 swap-sqr_binary64 |
| 19× | difference-of-squares_binary64 |
| 17× | log-pow_binary64 *-rgt-identity_binary64 distribute-rgt1-in_binary64 |
| 16× | +-lft-identity_binary64 |
| 14× | distribute-lft-out--_binary64 |
| 12× | sub0-neg_binary64 |
| 11× | cube-unmult_binary64 |
| 10× | unpow1/2_binary64 |
| 9× | associate-/l*_binary64 |
| 8× | sqr-neg_binary64 associate-/r*_binary64 associate-+l-_binary64 |
| 5× | distribute-lft1-in_binary64 associate-+r-_binary64 |
| 3× | cube-neg_binary64 count-2_binary64 associate--r+_binary64 |
| 2× | unpow2_binary64 remove-double-neg_binary64 associate--l+_binary64 |
| 1× | unpow1_binary64 div-exp_binary64 prod-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 mul-1-neg_binary64 --rgt-identity_binary64 distribute-neg-in_binary64 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-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 rec-exp_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 /-rgt-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 associate-/r/_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 530 |
| 1 | 147 | 503 |
| 2 | 462 | 503 |
| 3 | 1386 | 503 |
| 4 | 3800 | 503 |
| 5 | 4276 | 503 |
| 6 | 4929 | 503 |
| 7 | 4709 | 503 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 0 | 28 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 28 | 8 | 36 |
Compiled 116 to 44 computations (62.1% saved)
Total 0.1b remaining (72.9%)
Threshold costs 0.1b (72.9%)
Compiled 1275 to 875 computations (31.4% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 4× | sub-neg_binary64 +-commutative_binary64 |
| 3× | neg-mul-1_binary64 neg-sub0_binary64 |
| 2× | cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64 |
| 1× | 1-exp_binary64 distribute-lft-neg-out_binary64 distribute-lft-neg-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 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 16 | 10 |
| 2 | 25 | 10 |
| 3 | 31 | 10 |
| 4 | 35 | 10 |
| 5 | 36 | 10 |
| 6 | 35 | 10 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | intervals |
| 198.0ms | 8000× | body | 128 | valid |
| 2.0ms | 90× | body | 128 | invalid |
Compiled 135 to 104 computations (23% saved)
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