Time bar (total: 2.8s)
| 1× | search |
| 2× | egg-herbie |
| 16× | sub-neg_binary64 |
| 14× | cancel-sign-sub-inv_binary64 |
| 10× | distribute-rgt-in_binary64 |
| 9× | neg-mul-1_binary64 |
| 8× | associate--r+_binary64 |
| 7× | unsub-neg_binary64 |
| 6× | neg-sub0_binary64 +-commutative_binary64 |
| 5× | distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 associate--r-_binary64 |
| 4× | *-lft-identity_binary64 sub0-neg_binary64 associate-+l-_binary64 |
| 3× | +-lft-identity_binary64 distribute-rgt-neg-out_binary64 associate-+l+_binary64 *-commutative_binary64 |
| 2× | *-rgt-identity_binary64 distribute-neg-frac_binary64 |
| 1× | 1-exp_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 distribute-lft-neg-in_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 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 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_binary64 distribute-frac-neg_binary64 distribute-neg-out_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-*l*_binary64 associate-*r*_binary64 associate--l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 16 | 16 |
| 2 | 21 | 16 |
| 3 | 28 | 16 |
| 4 | 35 | 16 |
| 5 | 51 | 16 |
| 6 | 73 | 16 |
| 7 | 82 | 16 |
| 8 | 94 | 16 |
| 9 | 96 | 16 |
| 10 | 90 | 16 |
| 11 | 76 | 16 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
| 99.9% | 0% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | intervals |
| 5.0ms | 62× | body | 512 | valid |
| 5.0ms | 158× | body | 128 | valid |
| 1.0ms | 13× | body | 1024 | valid |
| 1.0ms | 23× | body | 256 | valid |
Compiled 23 to 22 computations (4.3% saved)
| 1× | egg-herbie |
| 16× | sub-neg_binary64 |
| 14× | cancel-sign-sub-inv_binary64 |
| 10× | distribute-rgt-in_binary64 |
| 9× | neg-mul-1_binary64 |
| 8× | associate--r+_binary64 |
| 7× | unsub-neg_binary64 |
| 6× | neg-sub0_binary64 +-commutative_binary64 |
| 5× | distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 associate--r-_binary64 |
| 4× | *-lft-identity_binary64 sub0-neg_binary64 associate-+l-_binary64 |
| 3× | +-lft-identity_binary64 distribute-rgt-neg-out_binary64 associate-+l+_binary64 *-commutative_binary64 |
| 2× | *-rgt-identity_binary64 distribute-neg-frac_binary64 |
| 1× | 1-exp_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 distribute-lft-neg-in_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 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 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_binary64 distribute-frac-neg_binary64 distribute-neg-out_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-*l*_binary64 associate-*r*_binary64 associate--l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 16 | 16 |
| 2 | 21 | 16 |
| 3 | 28 | 16 |
| 4 | 35 | 16 |
| 5 | 51 | 16 |
| 6 | 73 | 16 |
| 7 | 82 | 16 |
| 8 | 94 | 16 |
| 9 | 96 | 16 |
| 10 | 90 | 16 |
| 11 | 76 | 16 |
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 22 to 20 computations (9.1% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 1 (-.f64 x 1)) |
| 2.9b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1× | rewrite-expression-head |
| 100× | *-un-lft-identity_binary64 |
| 85× | add-sqr-sqrt_binary64 |
| 78× | times-frac_binary64 |
| 33× | add-cube-cbrt_binary64 |
| 30× | distribute-lft-out--_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 23× | difference-of-squares_binary64 |
| 7× | difference-of-sqr-1_binary64 associate-/r*_binary64 |
| 6× | add-exp-log_binary64 div-inv_binary64 associate-/r/_binary64 distribute-lft-out_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_binary64 flip--_binary64 |
| 3× | pow1_binary64 flip3--_binary64 associate-/l*_binary64 |
| 2× | div-exp_binary64 |
| 1× | diff-log_binary64 frac-sub_binary64 sub-neg_binary64 flip-+_binary64 inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 |
2 calls:
| 32.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 9.0ms | (/.f64 1 (-.f64 x 1)) |
Compiled 1790 to 1495 computations (16.5% saved)
2 calls:
| 12.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 12.0ms | (/.f64 1 (-.f64 x 1)) |
Compiled 357 to 315 computations (11.8% saved)
| 1× | egg-herbie |
| 605× | div-sub_binary64 |
| 252× | cancel-sign-sub-inv_binary64 |
| 206× | associate-*l/_binary64 |
| 203× | associate-*l*_binary64 |
| 202× | associate-/l*_binary64 associate-*r*_binary64 |
| 190× | times-frac_binary64 |
| 187× | exp-prod_binary64 |
| 162× | associate-*r/_binary64 |
| 158× | sub-neg_binary64 |
| 140× | distribute-rgt-neg-in_binary64 |
| 133× | distribute-neg-frac_binary64 |
| 132× | distribute-rgt-in_binary64 |
| 121× | associate-/r*_binary64 |
| 116× | unsub-neg_binary64 |
| 114× | distribute-lft-neg-in_binary64 |
| 113× | distribute-lft-neg-out_binary64 |
| 109× | distribute-lft-in_binary64 |
| 105× | distribute-rgt-out_binary64 |
| 104× | *-commutative_binary64 |
| 96× | distribute-rgt-neg-out_binary64 |
| 83× | neg-sub0_binary64 |
| 72× | cube-prod_binary64 |
| 69× | log-prod_binary64 |
| 68× | neg-mul-1_binary64 |
| 59× | associate-/r/_binary64 +-commutative_binary64 |
| 58× | distribute-frac-neg_binary64 |
| 56× | distribute-neg-in_binary64 |
| 55× | cube-div_binary64 |
| 52× | associate-/l/_binary64 |
| 49× | exp-sum_binary64 |
| 48× | sqr-pow_binary64 |
| 44× | swap-sqr_binary64 |
| 43× | log-div_binary64 |
| 40× | *-rgt-identity_binary64 |
| 39× | unswap-sqr_binary64 |
| 38× | exp-diff_binary64 |
| 34× | distribute-lft-out_binary64 |
| 33× | associate-+r+_binary64 |
| 30× | unpow3_binary64 *-lft-identity_binary64 |
| 29× | associate-+r-_binary64 |
| 28× | sqr-neg_binary64 distribute-rgt-out--_binary64 |
| 26× | associate-+l+_binary64 |
| 24× | associate-+l-_binary64 |
| 21× | mul0-rgt_binary64 mul0-lft_binary64 |
| 19× | cube-mult_binary64 |
| 18× | /-rgt-identity_binary64 associate--r+_binary64 |
| 16× | cube-unmult_binary64 |
| 15× | exp-neg_binary64 +-rgt-identity_binary64 |
| 13× | sub0-neg_binary64 div0_binary64 |
| 11× | difference-of-squares_binary64 |
| 10× | log-rec_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 |
| 9× | pow-plus_binary64 |
| 8× | associate--l+_binary64 |
| 7× | mul-1-neg_binary64 |
| 4× | unpow1/2_binary64 rem-sqrt-square_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--l-_binary64 |
| 3× | pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 |
| 2× | log-pow_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 +-inverses_binary64 lft-mult-inverse_binary64 |
| 1× | unpow2_binary64 unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 remove-double-neg_binary64 --rgt-identity_binary64 *-inverses_binary64 cancel-sign-sub_binary64 count-2_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 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 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 2159 |
| 1 | 364 | 2105 |
| 2 | 974 | 1973 |
| 3 | 2826 | 1957 |
| 4 | 4134 | 1957 |
| 5 | 5105 | 1957 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 1 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 118 | 1 | 119 |
Compiled 923 to 754 computations (18.3% saved)
Found 1 expressions with local error:
| 0.5b | (/.f64 -2 (+.f64 (*.f64 x x) -1)) |
| 1× | rewrite-expression-head |
| 12× | times-frac_binary64 |
| 10× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 4× | difference-of-sqr--1_binary64 associate-/r*_binary64 |
| 3× | add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
| 1× | pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64 |
1 calls:
| 6.0ms | (/.f64 -2 (+.f64 (*.f64 x x) -1)) |
Compiled 509 to 346 computations (32% saved)
1 calls:
| 12.0ms | (/.f64 -2 (+.f64 (*.f64 x x) -1)) |
Compiled 120 to 113 computations (5.8% saved)
| 1× | egg-herbie |
| 787× | div-sub_binary64 |
| 548× | times-frac_binary64 |
| 417× | associate-/r*_binary64 |
| 253× | associate-/l/_binary64 |
| 232× | associate-/l*_binary64 |
| 162× | associate-*l/_binary64 |
| 130× | associate--r+_binary64 |
| 112× | distribute-rgt-in_binary64 |
| 110× | associate-*l*_binary64 |
| 108× | associate-*r/_binary64 |
| 100× | cancel-sign-sub-inv_binary64 distribute-lft-in_binary64 |
| 89× | distribute-lft-out_binary64 |
| 87× | associate-/r/_binary64 |
| 80× | associate-*r*_binary64 |
| 74× | distribute-neg-in_binary64 |
| 73× | distribute-rgt-out_binary64 |
| 69× | unswap-sqr_binary64 |
| 55× | associate-+l-_binary64 |
| 54× | associate--l+_binary64 |
| 53× | cube-prod_binary64 |
| 52× | sub-neg_binary64 |
| 49× | *-commutative_binary64 |
| 47× | distribute-rgt-neg-in_binary64 |
| 43× | associate-+r-_binary64 |
| 42× | distribute-lft-neg-in_binary64 |
| 40× | log-prod_binary64 |
| 39× | unsub-neg_binary64 distribute-lft-neg-out_binary64 |
| 38× | distribute-neg-frac_binary64 |
| 37× | distribute-rgt-neg-out_binary64 |
| 29× | neg-sub0_binary64 |
| 27× | distribute-rgt-out--_binary64 |
| 26× | neg-mul-1_binary64 |
| 23× | associate--r-_binary64 |
| 20× | sqr-pow_binary64 |
| 19× | associate-+l+_binary64 |
| 17× | distribute-lft-out--_binary64 |
| 16× | unpow3_binary64 +-commutative_binary64 |
| 14× | log-div_binary64 |
| 13× | cube-div_binary64 |
| 12× | swap-sqr_binary64 |
| 11× | associate-+r+_binary64 |
| 10× | cube-unmult_binary64 cube-mult_binary64 associate--l-_binary64 |
| 9× | mul-1-neg_binary64 *-rgt-identity_binary64 |
| 8× | pow-plus_binary64 sqr-neg_binary64 |
| 7× | difference-of-sqr--1_binary64 distribute-frac-neg_binary64 |
| 6× | cube-neg_binary64 +-rgt-identity_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 |
| 5× | sub0-neg_binary64 |
| 4× | *-lft-identity_binary64 distribute-neg-out_binary64 |
| 3× | /-rgt-identity_binary64 |
| 2× | mul0-rgt_binary64 mul0-lft_binary64 pow-sqr_binary64 |
| 1× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 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 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 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 cancel-sign-sub_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 651 |
| 1 | 167 | 600 |
| 2 | 408 | 600 |
| 3 | 1275 | 600 |
| 4 | 4040 | 600 |
| 5 | 5627 | 600 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 3 | 17 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 14 | 4 | 18 |
Compiled 210 to 153 computations (27.1% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 -2 (+.f64 x -1)) |
| 0.1b | (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1))) |
| 1× | rewrite-expression-head |
| 53× | add-sqr-sqrt_binary64 |
| 51× | *-un-lft-identity_binary64 |
| 49× | times-frac_binary64 |
| 29× | add-cube-cbrt_binary64 |
| 26× | add-exp-log_binary64 |
| 21× | associate-*r*_binary64 |
| 18× | associate-*l*_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 10× | distribute-lft-out_binary64 |
| 9× | div-exp_binary64 |
| 8× | prod-exp_binary64 |
| 7× | difference-of-sqr--1_binary64 |
| 6× | unswap-sqr_binary64 associate-/r/_binary64 |
| 5× | cbrt-undiv_binary64 associate-/r*_binary64 |
| 4× | pow1_binary64 cbrt-unprod_binary64 |
| 3× | div-inv_binary64 flip3-+_binary64 flip-+_binary64 associate-/l*_binary64 |
| 2× | 1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 |
| 1× | pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 |
2 calls:
| 23.0ms | (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1))) |
| 5.0ms | (/.f64 -2 (+.f64 x -1)) |
Compiled 1894 to 1590 computations (16.1% saved)
2 calls:
| 13.0ms | (/.f64 -2 (+.f64 x -1)) |
| 10.0ms | (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1))) |
Compiled 416 to 374 computations (10.1% saved)
| 1× | egg-herbie |
| 571× | div-sub_binary64 |
| 423× | times-frac_binary64 |
| 389× | associate-/l*_binary64 |
| 348× | associate-*l/_binary64 |
| 270× | associate-*r/_binary64 |
| 256× | associate-*l*_binary64 |
| 205× | associate-/l/_binary64 associate-*r*_binary64 |
| 202× | associate-/r*_binary64 |
| 199× | cancel-sign-sub-inv_binary64 |
| 145× | *-commutative_binary64 |
| 120× | sub-neg_binary64 distribute-rgt-out_binary64 |
| 119× | distribute-rgt-in_binary64 |
| 99× | distribute-lft-in_binary64 |
| 93× | distribute-neg-in_binary64 |
| 91× | associate-/r/_binary64 |
| 67× | unsub-neg_binary64 |
| 61× | *-lft-identity_binary64 |
| 56× | distribute-rgt-neg-in_binary64 associate-+r+_binary64 |
| 51× | distribute-neg-frac_binary64 associate-+l+_binary64 |
| 50× | remove-double-div_binary64 |
| 48× | distribute-rgt-out--_binary64 |
| 46× | distribute-lft-neg-in_binary64 |
| 42× | cube-prod_binary64 neg-sub0_binary64 sqr-pow_binary64 |
| 41× | /-rgt-identity_binary64 |
| 40× | *-rgt-identity_binary64 unswap-sqr_binary64 associate-+r-_binary64 |
| 39× | log-prod_binary64 |
| 38× | neg-mul-1_binary64 associate-+l-_binary64 |
| 37× | log-div_binary64 +-commutative_binary64 |
| 36× | cube-div_binary64 |
| 31× | distribute-lft-out--_binary64 |
| 30× | distribute-frac-neg_binary64 |
| 28× | distribute-rgt-neg-out_binary64 |
| 24× | distribute-lft-neg-out_binary64 associate--r+_binary64 |
| 17× | distribute-rgt1-in_binary64 |
| 16× | swap-sqr_binary64 |
| 15× | unpow3_binary64 |
| 14× | sub0-neg_binary64 +-rgt-identity_binary64 |
| 13× | exp-prod_binary64 |
| 11× | cube-mult_binary64 distribute-neg-out_binary64 |
| 10× | cube-unmult_binary64 sqr-neg_binary64 |
| 9× | log-rec_binary64 cube-neg_binary64 distribute-lft-out_binary64 |
| 8× | mul-1-neg_binary64 distribute-lft1-in_binary64 |
| 6× | pow-sqr_binary64 associate--l+_binary64 |
| 5× | pow-plus_binary64 rem-sqrt-square_binary64 difference-of-squares_binary64 associate--r-_binary64 |
| 4× | unpow1/2_binary64 |
| 3× | --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 |
| 2× | remove-double-neg_binary64 associate--l-_binary64 |
| 1× | unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 div0_binary64 *-inverses_binary64 count-2_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 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-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 2042 |
| 1 | 448 | 1719 |
| 2 | 1249 | 1713 |
| 3 | 3412 | 1710 |
| 4 | 4397 | 1710 |
| 5 | 5117 | 1710 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 4 | 91 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 90 | 5 | 95 |
Compiled 1073 to 851 computations (20.7% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 -2 (+.f64 x -1)) |
| 0.0b | (/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1)) |
| 1× | rewrite-expression-head |
| 174× | times-frac_binary64 |
| 161× | *-un-lft-identity_binary64 |
| 98× | add-sqr-sqrt_binary64 |
| 79× | add-cube-cbrt_binary64 |
| 41× | distribute-lft-out_binary64 |
| 24× | associate-/l*_binary64 |
| 19× | difference-of-sqr--1_binary64 |
| 14× | associate-/r/_binary64 |
| 9× | add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r*_binary64 |
| 7× | div-inv_binary64 flip3-+_binary64 flip-+_binary64 |
| 4× | div-exp_binary64 cbrt-undiv_binary64 |
| 2× | pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64 |
| 1× | associate-/l/_binary64 |
2 calls:
| 11.0ms | (/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1)) |
| 5.0ms | (/.f64 -2 (+.f64 x -1)) |
Compiled 2574 to 2099 computations (18.5% saved)
2 calls:
| 13.0ms | (/.f64 -2 (+.f64 x -1)) |
| 11.0ms | (/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1)) |
Compiled 384 to 342 computations (10.9% saved)
| 1× | egg-herbie |
| 691× | div-sub_binary64 |
| 398× | associate-/l/_binary64 |
| 397× | associate-/r*_binary64 |
| 261× | times-frac_binary64 |
| 256× | associate-/l*_binary64 |
| 231× | distribute-rgt-in_binary64 |
| 213× | associate-*l*_binary64 |
| 195× | distribute-lft-in_binary64 |
| 165× | *-commutative_binary64 |
| 151× | associate-/r/_binary64 |
| 143× | associate-*r*_binary64 |
| 129× | associate-*l/_binary64 |
| 105× | associate-*r/_binary64 |
| 60× | neg-mul-1_binary64 |
| 58× | sub-neg_binary64 |
| 43× | associate-+l+_binary64 |
| 38× | cube-prod_binary64 |
| 37× | associate-+r+_binary64 +-commutative_binary64 |
| 32× | log-div_binary64 |
| 31× | distribute-neg-in_binary64 |
| 30× | associate-+l-_binary64 |
| 29× | *-rgt-identity_binary64 associate-+r-_binary64 |
| 28× | cube-div_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 26× | log-prod_binary64 neg-sub0_binary64 |
| 22× | /-rgt-identity_binary64 distribute-lft-neg-in_binary64 |
| 21× | distribute-rgt-neg-in_binary64 |
| 20× | associate--r+_binary64 |
| 19× | distribute-neg-frac_binary64 |
| 18× | *-lft-identity_binary64 |
| 16× | unpow3_binary64 unsub-neg_binary64 |
| 15× | unswap-sqr_binary64 |
| 14× | cube-mult_binary64 |
| 12× | sqr-pow_binary64 |
| 11× | mul-1-neg_binary64 associate--l+_binary64 |
| 8× | distribute-rgt-out_binary64 distribute-lft-out_binary64 |
| 6× | cube-unmult_binary64 cube-neg_binary64 distribute-rgt-out--_binary64 |
| 5× | log-rec_binary64 |
| 4× | distribute-lft-neg-out_binary64 associate--l-_binary64 |
| 3× | pow-plus_binary64 exp-prod_binary64 difference-of-sqr--1_binary64 distribute-frac-neg_binary64 associate--r-_binary64 |
| 2× | sqr-neg_binary64 +-rgt-identity_binary64 difference-of-sqr-1_binary64 swap-sqr_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64 |
| 1× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 *-inverses_binary64 distribute-neg-out_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 count-2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 4049 |
| 1 | 568 | 3784 |
| 2 | 1428 | 3784 |
| 3 | 3747 | 3784 |
| 4 | 4902 | 3784 |
| 5 | 5000 | 3784 |
| 6 | 4933 | 3784 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 1 | 121 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 121 | 5 | 126 |
Compiled 1231 to 938 computations (23.8% saved)
Total 0.1b remaining (84.2%)
Threshold costs 0.1b (84.2%)
Compiled 4942 to 4288 computations (13.2% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 sub-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 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 neg-mul-1_binary64 neg-sub0_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 *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 14 | 13 |
| 2 | 15 | 13 |
| 3 | 13 | 13 |
Compiled 9 to 8 computations (11.1% saved)
| 1× | intervals |
| 164.0ms | 2012× | body | 512 | valid |
| 132.0ms | 4511× | body | 128 | valid |
| 62.0ms | 1034× | body | 256 | valid |
| 45.0ms | 443× | body | 1024 | valid |
Compiled 102 to 92 computations (9.8% saved)
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