Time bar (total: 2.2s)
| 1× | search |
| 2× | egg-herbie |
| 78× | sub-neg_binary64 |
| 74× | cancel-sign-sub-inv_binary64 |
| 40× | distribute-rgt-neg-in_binary64 associate--r+_binary64 |
| 38× | unsub-neg_binary64 |
| 28× | associate-+l-_binary64 |
| 26× | neg-mul-1_binary64 distribute-neg-in_binary64 associate--r-_binary64 |
| 24× | distribute-lft-neg-in_binary64 |
| 22× | +-commutative_binary64 |
| 20× | distribute-lft-neg-out_binary64 distribute-rgt-in_binary64 |
| 18× | neg-sub0_binary64 sub0-neg_binary64 associate--l+_binary64 |
| 14× | associate--l-_binary64 |
| 12× | associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64 |
| 10× | *-lft-identity_binary64 distribute-lft-in_binary64 associate-*r*_binary64 |
| 8× | mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt1-in_binary64 |
| 6× | remove-double-neg_binary64 +-rgt-identity_binary64 distribute-rgt-neg-out_binary64 |
| 4× | --rgt-identity_binary64 |
| 2× | +-lft-identity_binary64 distribute-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 |
| 1× | 1-exp_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 distribute-rgt-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 | 12 | 24 |
| 1 | 26 | 24 |
| 2 | 61 | 24 |
| 3 | 100 | 24 |
| 4 | 205 | 24 |
| 5 | 343 | 24 |
| 6 | 387 | 24 |
| 7 | 407 | 24 |
| 8 | 411 | 24 |
| 9 | 372 | 24 |
| 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% | 74.9% | 25.1% | 4 |
| 18.7% | 56.2% | 25.1% | 5 |
| 28.1% | 34.3% | 37.6% | 6 |
| 34.3% | 28.1% | 37.6% | 7 |
| 39% | 17.2% | 43.8% | 8 |
| 41% | 13.7% | 45.4% | 9 |
| 43.1% | 8.4% | 48.5% | 10 |
| 44% | 6.7% | 49.3% | 11 |
| 45% | 4.1% | 50.8% | 12 |
| 45.4% | 3.3% | 51.2% | 13 |
| 45.9% | 2.1% | 52% | 14 |
Compiled 9 to 8 computations (11.1% saved)
| 1× | intervals |
| 12.0ms | 256× | body | 128 | valid |
| 0.0ms | 3× | body | 128 | nan |
| 0.0ms | 2× | body | 128 | invalid |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
| 45× | cancel-sign-sub-inv_binary64 |
| 44× | sub-neg_binary64 |
| 31× | unsub-neg_binary64 |
| 24× | associate--r+_binary64 |
| 21× | distribute-rgt-neg-in_binary64 |
| 18× | neg-mul-1_binary64 |
| 17× | associate--r-_binary64 |
| 16× | distribute-neg-in_binary64 |
| 14× | distribute-rgt-in_binary64 associate-+l-_binary64 +-commutative_binary64 |
| 13× | neg-sub0_binary64 distribute-lft-neg-in_binary64 |
| 12× | distribute-lft-neg-out_binary64 |
| 10× | sub0-neg_binary64 associate--l+_binary64 |
| 9× | distribute-lft-in_binary64 |
| 8× | *-commutative_binary64 |
| 7× | *-lft-identity_binary64 |
| 6× | associate--l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 |
| 5× | distribute-rgt-neg-out_binary64 |
| 4× | remove-double-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-*r*_binary64 |
| 3× | +-rgt-identity_binary64 distribute-rgt1-in_binary64 |
| 2× | *-rgt-identity_binary64 --rgt-identity_binary64 +-lft-identity_binary64 |
| 1× | 1-exp_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-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 | 8 | 12 |
| 1 | 16 | 12 |
| 2 | 35 | 12 |
| 3 | 57 | 12 |
| 4 | 109 | 12 |
| 5 | 192 | 12 |
| 6 | 231 | 12 |
| 7 | 239 | 12 |
| 8 | 238 | 12 |
| 9 | 207 | 12 |
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 8 to 7 computations (12.5% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
| 0.2b | (*.f64 y (sqrt.f64 x)) |
| 1× | rewrite-expression-head |
| 10× | add-sqr-sqrt_binary64 |
| 7× | add-log-exp_binary64 |
| 6× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*r*_binary64 |
| 4× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-prod_binary64 associate-+l+_binary64 |
| 3× | associate-*l*_binary64 cancel-sign-sub-inv_binary64 |
| 2× | unswap-sqr_binary64 sum-log_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 diff-log_binary64 flip3-+_binary64 flip-+_binary64 associate-+l-_binary64 sub-neg_binary64 +-commutative_binary64 |
2 calls:
| 7.0ms | (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
| 5.0ms | (*.f64 y (sqrt.f64 x)) |
Compiled 512 to 234 computations (54.3% saved)
2 calls:
| 17.0ms | (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
| 15.0ms | (*.f64 y (sqrt.f64 x)) |
Compiled 244 to 208 computations (14.8% saved)
| 1× | egg-herbie |
| 768× | unsub-neg_binary64 |
| 304× | sub-neg_binary64 |
| 283× | associate-*l*_binary64 |
| 258× | distribute-rgt-in_binary64 |
| 253× | neg-sub0_binary64 |
| 246× | neg-mul-1_binary64 |
| 241× | distribute-lft-in_binary64 |
| 232× | associate-*r*_binary64 |
| 215× | +-commutative_binary64 |
| 175× | cancel-sign-sub-inv_binary64 |
| 155× | times-frac_binary64 distribute-rgt-out_binary64 |
| 131× | distribute-rgt-neg-out_binary64 |
| 122× | distribute-lft-neg-out_binary64 |
| 109× | exp-prod_binary64 |
| 97× | exp-sum_binary64 |
| 87× | associate-+l-_binary64 |
| 85× | *-commutative_binary64 |
| 82× | distribute-rgt-neg-in_binary64 |
| 75× | associate--r+_binary64 |
| 60× | distribute-lft-neg-in_binary64 |
| 59× | associate-+r-_binary64 |
| 54× | exp-diff_binary64 |
| 50× | distribute-lft-out_binary64 |
| 44× | sqr-pow_binary64 |
| 42× | distribute-rgt-out--_binary64 |
| 41× | unswap-sqr_binary64 associate-+l+_binary64 |
| 39× | associate--l+_binary64 |
| 37× | distribute-neg-in_binary64 |
| 35× | associate-+r+_binary64 |
| 31× | *-lft-identity_binary64 |
| 30× | *-rgt-identity_binary64 |
| 20× | cube-prod_binary64 |
| 19× | log-prod_binary64 div-sub_binary64 |
| 18× | associate--r-_binary64 |
| 15× | swap-sqr_binary64 associate-/l*_binary64 |
| 13× | distribute-neg-out_binary64 |
| 11× | mul0-rgt_binary64 mul0-lft_binary64 |
| 10× | associate-/r*_binary64 |
| 8× | cube-unmult_binary64 sqr-neg_binary64 sub0-neg_binary64 |
| 7× | rem-sqrt-square_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 |
| 6× | unpow3_binary64 div-exp_binary64 associate--l-_binary64 |
| 5× | cube-neg_binary64 pow-sqr_binary64 associate-*r/_binary64 |
| 4× | distribute-lft-out--_binary64 associate-*l/_binary64 |
| 3× | --rgt-identity_binary64 |
| 2× | unpow1/2_binary64 prod-exp_binary64 cube-mult_binary64 mul-1-neg_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 |
| 1× | pow-plus_binary64 rec-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 count-2_binary64 associate-/l/_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 590 |
| 1 | 193 | 557 |
| 2 | 543 | 552 |
| 3 | 1852 | 552 |
| 4 | 3405 | 552 |
| 5 | 5110 | 552 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 5 | 36 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 31 | 6 | 37 |
Compiled 369 to 190 computations (48.5% saved)
Found 4 expressions with local error:
| 0.3b | (*.f64 y (fabs.f64 (cbrt.f64 x))) |
| 0.4b | (*.f64 (*.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
| 0.7b | (cbrt.f64 x) |
| 0.7b | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 13× | add-sqr-sqrt_binary64 |
| 12× | associate-*r*_binary64 |
| 11× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 9× | cbrt-prod_binary64 |
| 6× | sqrt-prod_binary64 |
| 4× | add-log-exp_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 |
| 2× | pow1/3_binary64 *-commutative_binary64 |
| 1× | unswap-sqr_binary64 |
4 calls:
| 8.0ms | (*.f64 (*.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
| 5.0ms | (*.f64 y (fabs.f64 (cbrt.f64 x))) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
Compiled 1123 to 393 computations (65% saved)
4 calls:
| 50.0ms | (*.f64 (*.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
| 18.0ms | (cbrt.f64 x) |
| 17.0ms | (cbrt.f64 x) |
| 17.0ms | (*.f64 y (fabs.f64 (cbrt.f64 x))) |
Compiled 694 to 582 computations (16.1% saved)
| 1× | egg-herbie |
| 592× | unswap-sqr_binary64 |
| 581× | associate-+l+_binary64 |
| 437× | distribute-rgt-in_binary64 |
| 419× | distribute-lft-in_binary64 |
| 311× | *-commutative_binary64 |
| 164× | associate-*l*_binary64 |
| 137× | log-prod_binary64 |
| 134× | sqr-pow_binary64 |
| 125× | associate-*r*_binary64 |
| 119× | distribute-rgt-neg-in_binary64 |
| 112× | distribute-lft-neg-in_binary64 |
| 51× | exp-prod_binary64 |
| 41× | pow-sqr_binary64 |
| 40× | associate-/l*_binary64 |
| 33× | distribute-rgt-out_binary64 |
| 32× | cancel-sign-sub-inv_binary64 |
| 30× | count-2_binary64 |
| 27× | cube-prod_binary64 |
| 26× | rem-sqrt-square_binary64 neg-sub0_binary64 associate-+r+_binary64 |
| 25× | neg-mul-1_binary64 associate-/l/_binary64 |
| 24× | *-lft-identity_binary64 |
| 22× | distribute-lft-out_binary64 |
| 21× | log-pow_binary64 swap-sqr_binary64 associate-*r/_binary64 |
| 16× | sub-neg_binary64 *-rgt-identity_binary64 |
| 15× | associate-/r/_binary64 |
| 13× | cube-unmult_binary64 |
| 12× | associate-/r*_binary64 |
| 10× | pow-plus_binary64 |
| 7× | +-commutative_binary64 |
| 4× | unpow3_binary64 unpow1/2_binary64 cube-mult_binary64 |
| 2× | unpow1/3_binary64 associate-*l/_binary64 |
| 1× | unpow2_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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 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 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-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 times-frac_binary64 div-sub_binary64 unsub-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_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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 997 |
| 1 | 196 | 905 |
| 2 | 673 | 905 |
| 3 | 1008 | 905 |
| 4 | 1747 | 905 |
| 5 | 5203 | 905 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 3 | 54 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 52 | 8 | 60 |
Compiled 634 to 280 computations (55.8% saved)
Found 4 expressions with local error:
| 0.3b | (*.f64 (*.f64 (fabs.f64 (cbrt.f64 x)) y) (sqrt.f64 (cbrt.f64 (sqrt.f64 x)))) |
| 0.6b | (cbrt.f64 (sqrt.f64 x)) |
| 0.6b | (cbrt.f64 (sqrt.f64 x)) |
| 0.7b | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 21× | cbrt-prod_binary64 |
| 18× | sqrt-prod_binary64 |
| 13× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 12× | associate-*r*_binary64 |
| 9× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | pow1/3_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 |
| 1× | associate-*l*_binary64 *-commutative_binary64 |
4 calls:
| 8.0ms | (*.f64 (*.f64 (fabs.f64 (cbrt.f64 x)) y) (sqrt.f64 (cbrt.f64 (sqrt.f64 x)))) |
| 2.0ms | (cbrt.f64 (sqrt.f64 x)) |
| 2.0ms | (cbrt.f64 (sqrt.f64 x)) |
| 1.0ms | (cbrt.f64 x) |
Compiled 1516 to 461 computations (69.6% saved)
4 calls:
| 42.0ms | (*.f64 (*.f64 (fabs.f64 (cbrt.f64 x)) y) (sqrt.f64 (cbrt.f64 (sqrt.f64 x)))) |
| 19.0ms | (cbrt.f64 x) |
| 14.0ms | (cbrt.f64 (sqrt.f64 x)) |
| 13.0ms | (cbrt.f64 (sqrt.f64 x)) |
Compiled 744 to 590 computations (20.7% saved)
| 1× | egg-herbie |
| 438× | associate-+l+_binary64 |
| 377× | associate-+r+_binary64 |
| 337× | *-commutative_binary64 |
| 333× | distribute-rgt-in_binary64 |
| 326× | log-prod_binary64 distribute-lft-in_binary64 |
| 265× | distribute-rgt-out_binary64 |
| 260× | sqr-pow_binary64 |
| 238× | unswap-sqr_binary64 |
| 213× | pow-sqr_binary64 |
| 157× | distribute-rgt-neg-in_binary64 |
| 152× | distribute-lft-neg-in_binary64 |
| 147× | associate-*l*_binary64 |
| 121× | log-pow_binary64 |
| 110× | associate-*r*_binary64 |
| 107× | exp-prod_binary64 |
| 88× | neg-mul-1_binary64 |
| 87× | neg-sub0_binary64 |
| 75× | cube-prod_binary64 |
| 72× | rem-sqrt-square_binary64 |
| 69× | cancel-sign-sub-inv_binary64 |
| 55× | associate-/l*_binary64 |
| 32× | sub-neg_binary64 swap-sqr_binary64 distribute-rgt1-in_binary64 |
| 26× | unpow3_binary64 |
| 25× | distribute-lft1-in_binary64 |
| 22× | cube-mult_binary64 count-2_binary64 |
| 20× | pow-plus_binary64 associate-/l/_binary64 |
| 19× | cube-unmult_binary64 |
| 17× | associate-*r/_binary64 |
| 16× | +-commutative_binary64 |
| 13× | times-frac_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 associate-/r*_binary64 |
| 12× | unsub-neg_binary64 |
| 11× | distribute-lft-out_binary64 associate-/r/_binary64 |
| 10× | unpow1/2_binary64 |
| 9× | unpow2_binary64 |
| 6× | unpow1_binary64 |
| 4× | mul0-rgt_binary64 mul0-lft_binary64 |
| 3× | unpow1/3_binary64 |
| 2× | rem-3cbrt-lft_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-*l/_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 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-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1020 |
| 1 | 195 | 956 |
| 2 | 623 | 950 |
| 3 | 899 | 950 |
| 4 | 1451 | 950 |
| 5 | 3791 | 950 |
| 6 | 4610 | 950 |
| 7 | 4915 | 950 |
| 8 | 4792 | 950 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 0 | 32 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 32 | 8 | 40 |
Compiled 462 to 199 computations (56.9% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 0.6b | (cbrt.f64 y) |
| 0.6b | (cbrt.f64 y) |
| 0.6b | (cbrt.f64 y) |
| 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 y) (cbrt.f64 y)) |
| 1.0ms | (cbrt.f64 y) |
| 1.0ms | (cbrt.f64 y) |
| 1.0ms | (cbrt.f64 y) |
Compiled 1351 to 437 computations (67.7% saved)
4 calls:
| 20.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 18.0ms | (cbrt.f64 y) |
| 17.0ms | (cbrt.f64 y) |
| 17.0ms | (cbrt.f64 y) |
Compiled 564 to 418 computations (25.9% 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 (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 0 | 50 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 50 | 8 | 58 |
Compiled 473 to 214 computations (54.8% saved)
Total 0.1b remaining (71.1%)
Threshold costs 0.1b (71.1%)
Compiled 1322 to 958 computations (27.5% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | sub-neg_binary64 *-commutative_binary64 |
| 1× | 1-exp_binary64 neg-mul-1_binary64 neg-sub0_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-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 | 8 | 12 |
| 1 | 14 | 12 |
| 2 | 18 | 12 |
| 3 | 20 | 12 |
| 4 | 21 | 12 |
| 5 | 20 | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 245.0ms | 7999× | body | 128 | valid |
| 3.0ms | 108× | body | 128 | nan |
| 2.0ms | 72× | body | 128 | invalid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 140 to 112 computations (20% saved)
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