Time bar (total: 2.7s)
| 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 |
| 6.0ms | 71× | body | 512 | valid |
| 4.0ms | 145× | body | 128 | valid |
| 2.0ms | 33× | body | 256 | valid |
| 1.0ms | 7× | body | 1024 | 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 3 expressions with local error:
| 0.0b | (/.f64 1 (+.f64 x 1)) |
| 0.0b | (/.f64 1 (-.f64 x 1)) |
| 2.6b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1× | rewrite-expression-head |
| 118× | *-un-lft-identity_binary64 |
| 95× | add-sqr-sqrt_binary64 |
| 90× | times-frac_binary64 |
| 43× | add-cube-cbrt_binary64 |
| 30× | distribute-lft-out--_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 23× | difference-of-squares_binary64 |
| 11× | add-exp-log_binary64 associate-/r*_binary64 |
| 10× | distribute-lft-out_binary64 |
| 8× | associate-/r/_binary64 |
| 7× | add-cbrt-cube_binary64 difference-of-sqr-1_binary64 div-inv_binary64 |
| 6× | associate-/l*_binary64 |
| 5× | add-log-exp_binary64 pow1_binary64 |
| 4× | flip--_binary64 div-exp_binary64 |
| 3× | flip3--_binary64 |
| 2× | flip-+_binary64 inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 |
| 1× | diff-log_binary64 frac-sub_binary64 sub-neg_binary64 flip3-+_binary64 |
3 calls:
| 37.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 6.0ms | (/.f64 1 (-.f64 x 1)) |
| 5.0ms | (/.f64 1 (+.f64 x 1)) |
Compiled 2349 to 1966 computations (16.3% saved)
3 calls:
| 21.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 12.0ms | (/.f64 1 (-.f64 x 1)) |
| 12.0ms | (/.f64 1 (+.f64 x 1)) |
Compiled 914 to 788 computations (13.8% saved)
| 1× | egg-herbie |
| 325× | div-sub_binary64 |
| 261× | associate-*l*_binary64 |
| 251× | associate-*r*_binary64 |
| 232× | associate-*l/_binary64 |
| 227× | associate-/l*_binary64 |
| 203× | distribute-rgt-in_binary64 |
| 198× | times-frac_binary64 |
| 180× | associate-*r/_binary64 |
| 172× | associate-/r*_binary64 |
| 146× | distribute-lft-in_binary64 |
| 131× | associate-+l+_binary64 |
| 124× | associate-+r+_binary64 |
| 106× | sub-neg_binary64 |
| 92× | cancel-sign-sub-inv_binary64 |
| 87× | associate--r+_binary64 |
| 78× | distribute-neg-in_binary64 |
| 77× | neg-sub0_binary64 distribute-rgt-neg-in_binary64 |
| 73× | distribute-neg-frac_binary64 |
| 71× | neg-mul-1_binary64 |
| 69× | associate-/l/_binary64 +-commutative_binary64 |
| 68× | associate-+l-_binary64 |
| 67× | associate-/r/_binary64 |
| 65× | associate-+r-_binary64 |
| 63× | exp-prod_binary64 *-commutative_binary64 |
| 53× | distribute-lft-neg-in_binary64 |
| 43× | associate--l+_binary64 |
| 41× | unsub-neg_binary64 |
| 40× | distribute-lft-neg-out_binary64 |
| 36× | distribute-rgt-out_binary64 |
| 32× | distribute-rgt-neg-out_binary64 |
| 30× | cube-prod_binary64 |
| 27× | cube-div_binary64 |
| 25× | *-rgt-identity_binary64 distribute-lft-out_binary64 |
| 22× | log-prod_binary64 |
| 21× | sqr-pow_binary64 |
| 20× | log-div_binary64 |
| 16× | distribute-frac-neg_binary64 |
| 14× | exp-sum_binary64 unswap-sqr_binary64 |
| 13× | cube-unmult_binary64 *-lft-identity_binary64 distribute-rgt-out--_binary64 |
| 12× | swap-sqr_binary64 |
| 11× | distribute-rgt1-in_binary64 |
| 10× | associate--l-_binary64 |
| 9× | unpow3_binary64 |
| 8× | /-rgt-identity_binary64 |
| 7× | pow-plus_binary64 exp-diff_binary64 |
| 6× | +-rgt-identity_binary64 |
| 5× | distribute-neg-out_binary64 |
| 4× | log-rec_binary64 cube-mult_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 |
| 3× | div0_binary64 distribute-lft1-in_binary64 |
| 2× | rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 |
| 1× | log-pow_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 mul-1-neg_binary64 +-lft-identity_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 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 cancel-sign-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 2992 |
| 1 | 520 | 2917 |
| 2 | 1447 | 2785 |
| 3 | 4312 | 2785 |
| 4 | 4930 | 2785 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 155 | 3 | 158 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 156 | 3 | 159 |
Compiled 1347 to 1067 computations (20.8% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1)) |
| 1.9b | (+.f64 x (-.f64 -2 x)) |
| 1× | rewrite-expression-head |
| 44× | *-un-lft-identity_binary64 |
| 20× | times-frac_binary64 |
| 14× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 |
| 12× | distribute-lft-out_binary64 |
| 7× | add-log-exp_binary64 |
| 6× | distribute-lft-out--_binary64 difference-of-sqr--1_binary64 |
| 5× | associate-/l*_binary64 |
| 4× | add-exp-log_binary64 add-cbrt-cube_binary64 associate-+r+_binary64 associate-/r*_binary64 |
| 3× | flip3-+_binary64 flip-+_binary64 cancel-sign-sub-inv_binary64 |
| 2× | sum-log_binary64 pow1_binary64 associate-+r-_binary64 associate-/l/_binary64 associate-/r/_binary64 |
| 1× | diff-log_binary64 sub-neg_binary64 +-commutative_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 |
2 calls:
| 12.0ms | (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1)) |
| 6.0ms | (+.f64 x (-.f64 -2 x)) |
Compiled 1087 to 671 computations (38.3% saved)
2 calls:
| 16.0ms | (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1)) |
| 4.0ms | (+.f64 x (-.f64 -2 x)) |
Compiled 341 to 307 computations (10% saved)
| 1× | egg-herbie |
| 498× | cancel-sign-sub-inv_binary64 |
| 384× | distribute-rgt-in_binary64 |
| 344× | distribute-lft-in_binary64 |
| 304× | div-sub_binary64 |
| 247× | associate-*l*_binary64 |
| 226× | unswap-sqr_binary64 |
| 206× | associate-/r*_binary64 |
| 197× | associate-*r*_binary64 |
| 190× | sub-neg_binary64 |
| 175× | unsub-neg_binary64 |
| 154× | *-commutative_binary64 |
| 104× | associate-+l+_binary64 |
| 101× | times-frac_binary64 associate-/l*_binary64 |
| 87× | associate-+r+_binary64 |
| 82× | associate-/l/_binary64 |
| 79× | associate-*l/_binary64 |
| 78× | neg-sub0_binary64 |
| 65× | neg-mul-1_binary64 |
| 64× | associate-*r/_binary64 |
| 58× | +-commutative_binary64 |
| 55× | associate--r+_binary64 |
| 52× | distribute-neg-in_binary64 |
| 34× | sqr-pow_binary64 distribute-rgt-out_binary64 |
| 33× | distribute-lft-out_binary64 |
| 31× | associate-+l-_binary64 |
| 28× | distribute-rgt-neg-in_binary64 associate-+r-_binary64 |
| 27× | distribute-lft-neg-in_binary64 associate-/r/_binary64 |
| 25× | distribute-neg-frac_binary64 |
| 23× | cube-prod_binary64 |
| 22× | swap-sqr_binary64 |
| 20× | associate--l+_binary64 |
| 18× | mul-1-neg_binary64 sub0-neg_binary64 +-rgt-identity_binary64 difference-of-squares_binary64 |
| 17× | *-rgt-identity_binary64 |
| 14× | log-prod_binary64 exp-prod_binary64 |
| 13× | exp-sum_binary64 mul0-rgt_binary64 div0_binary64 |
| 12× | mul0-lft_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 |
| 9× | pow-plus_binary64 exp-diff_binary64 /-rgt-identity_binary64 |
| 8× | cube-unmult_binary64 difference-of-sqr--1_binary64 |
| 7× | log-div_binary64 unpow3_binary64 cube-div_binary64 *-lft-identity_binary64 distribute-rgt-out--_binary64 associate--l-_binary64 |
| 6× | cube-mult_binary64 difference-of-sqr-1_binary64 |
| 5× | distribute-lft-out--_binary64 |
| 4× | div-exp_binary64 remove-double-neg_binary64 associate--r-_binary64 |
| 3× | prod-exp_binary64 cube-neg_binary64 sqr-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 |
| 2× | --rgt-identity_binary64 +-inverses_binary64 |
| 1× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 distribute-neg-out_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 rec-exp_binary64 exp-neg_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 +-lft-identity_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 1588 |
| 1 | 296 | 1490 |
| 2 | 928 | 1103 |
| 3 | 3456 | 1103 |
| 4 | 4901 | 1103 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 3 | 69 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 69 | 3 | 72 |
Compiled 787 to 523 computations (33.5% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 -2 (+.f64 x 1)) |
| 0.1b | (/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1)) |
| 1× | rewrite-expression-head |
| 234× | times-frac_binary64 |
| 207× | *-un-lft-identity_binary64 |
| 170× | add-sqr-sqrt_binary64 |
| 94× | add-cube-cbrt_binary64 |
| 38× | difference-of-squares_binary64 |
| 28× | distribute-lft-out_binary64 |
| 21× | associate-/l*_binary64 |
| 20× | associate-/r/_binary64 |
| 19× | difference-of-sqr-1_binary64 distribute-lft-out--_binary64 |
| 11× | associate-/r*_binary64 |
| 10× | div-inv_binary64 |
| 9× | add-exp-log_binary64 add-cbrt-cube_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 flip3--_binary64 flip--_binary64 |
2 calls:
| 15.0ms | (/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1)) |
| 5.0ms | (/.f64 -2 (+.f64 x 1)) |
Compiled 3018 to 2434 computations (19.4% saved)
2 calls:
| 19.0ms | (/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1)) |
| 14.0ms | (/.f64 -2 (+.f64 x 1)) |
Compiled 638 to 562 computations (11.9% saved)
| 1× | egg-herbie |
| 478× | associate-/r*_binary64 |
| 422× | associate-/l/_binary64 |
| 301× | div-sub_binary64 |
| 293× | associate-*l*_binary64 |
| 292× | times-frac_binary64 |
| 279× | associate-/l*_binary64 |
| 259× | distribute-rgt-in_binary64 |
| 230× | distribute-lft-in_binary64 |
| 200× | associate-/r/_binary64 |
| 163× | sub-neg_binary64 |
| 147× | associate-*l/_binary64 |
| 117× | associate-*r/_binary64 |
| 110× | unswap-sqr_binary64 |
| 97× | neg-sub0_binary64 |
| 91× | cancel-sign-sub-inv_binary64 |
| 87× | neg-mul-1_binary64 |
| 70× | *-commutative_binary64 |
| 68× | unsub-neg_binary64 |
| 62× | *-rgt-identity_binary64 |
| 49× | distribute-rgt-neg-in_binary64 |
| 46× | /-rgt-identity_binary64 |
| 43× | distribute-neg-frac_binary64 distribute-lft-neg-in_binary64 |
| 41× | +-commutative_binary64 |
| 40× | distribute-neg-in_binary64 |
| 39× | *-lft-identity_binary64 |
| 32× | cube-prod_binary64 |
| 31× | cube-div_binary64 distribute-lft-out_binary64 |
| 30× | log-div_binary64 distribute-rgt-out_binary64 |
| 26× | sqr-pow_binary64 associate-*r*_binary64 |
| 24× | distribute-rgt-out--_binary64 |
| 21× | log-prod_binary64 associate--r+_binary64 |
| 20× | unpow3_binary64 |
| 16× | cube-mult_binary64 |
| 12× | distribute-lft-out--_binary64 associate-+l+_binary64 |
| 11× | associate-+r+_binary64 |
| 10× | pow-plus_binary64 cube-unmult_binary64 mul-1-neg_binary64 swap-sqr_binary64 associate--l+_binary64 |
| 7× | distribute-rgt1-in_binary64 |
| 6× | log-rec_binary64 |
| 5× | exp-prod_binary64 |
| 4× | difference-of-squares_binary64 |
| 3× | difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 |
| 2× | *-inverses_binary64 distribute-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-lft1-in_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 1× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 div0_binary64 remove-double-div_binary64 pow-sqr_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64 count-2_binary64 associate--r-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 5511 |
| 1 | 655 | 5369 |
| 2 | 1733 | 5369 |
| 3 | 4265 | 5363 |
| 4 | 4723 | 5363 |
| 5 | 4991 | 5363 |
| 6 | 4933 | 5363 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 1 | 169 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 169 | 3 | 172 |
Compiled 1386 to 1045 computations (24.6% saved)
Found 1 expressions with local error:
| 0.1b | (/.f64 2 (-.f64 1 (*.f64 x x))) |
| 1× | rewrite-expression-head |
| 15× | add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 8× | difference-of-squares_binary64 |
| 5× | 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:
| 8.0ms | (/.f64 2 (-.f64 1 (*.f64 x x))) |
Compiled 566 to 395 computations (30.2% saved)
1 calls:
| 19.0ms | (/.f64 2 (-.f64 1 (*.f64 x x))) |
Compiled 292 to 266 computations (8.9% saved)
| 1× | egg-herbie |
| 905× | div-sub_binary64 |
| 683× | times-frac_binary64 |
| 479× | distribute-neg-frac_binary64 |
| 277× | unsub-neg_binary64 |
| 271× | cancel-sign-sub-inv_binary64 |
| 230× | associate-/l*_binary64 |
| 228× | associate-/l/_binary64 |
| 179× | sub-neg_binary64 |
| 178× | neg-mul-1_binary64 |
| 174× | neg-sub0_binary64 |
| 149× | associate-*l/_binary64 |
| 142× | unswap-sqr_binary64 |
| 128× | distribute-rgt-in_binary64 |
| 127× | distribute-lft-out_binary64 |
| 115× | associate-*r/_binary64 |
| 107× | associate-/r*_binary64 |
| 96× | distribute-rgt-neg-in_binary64 |
| 90× | distribute-lft-neg-in_binary64 |
| 86× | associate-*l*_binary64 |
| 74× | cube-prod_binary64 |
| 69× | distribute-lft-in_binary64 associate-/r/_binary64 associate-*r*_binary64 |
| 66× | distribute-rgt-out_binary64 |
| 64× | distribute-neg-in_binary64 |
| 60× | distribute-lft-out--_binary64 |
| 53× | *-commutative_binary64 |
| 48× | cancel-sign-sub_binary64 |
| 42× | distribute-rgt-neg-out_binary64 |
| 41× | distribute-lft-neg-out_binary64 |
| 38× | +-commutative_binary64 |
| 37× | associate-+l+_binary64 |
| 35× | remove-double-neg_binary64 |
| 34× | sqr-pow_binary64 |
| 33× | distribute-rgt-out--_binary64 |
| 28× | associate-+r+_binary64 |
| 27× | associate--r+_binary64 |
| 25× | /-rgt-identity_binary64 |
| 24× | *-lft-identity_binary64 |
| 20× | *-rgt-identity_binary64 |
| 19× | associate-+l-_binary64 |
| 17× | unpow3_binary64 pow-plus_binary64 |
| 16× | sub0-neg_binary64 swap-sqr_binary64 associate--r-_binary64 |
| 14× | mul0-rgt_binary64 mul0-lft_binary64 |
| 13× | sqr-neg_binary64 difference-of-sqr--1_binary64 |
| 12× | div0_binary64 |
| 10× | cube-unmult_binary64 difference-of-sqr-1_binary64 distribute-neg-out_binary64 |
| 9× | cube-mult_binary64 associate-+r-_binary64 |
| 8× | distribute-rgt1-in_binary64 |
| 7× | +-rgt-identity_binary64 |
| 6× | distribute-frac-neg_binary64 |
| 5× | --rgt-identity_binary64 associate--l+_binary64 |
| 4× | log-prod_binary64 cube-neg_binary64 pow-sqr_binary64 difference-of-squares_binary64 distribute-lft1-in_binary64 |
| 3× | cube-div_binary64 |
| 2× | log-div_binary64 unpow2_binary64 unpow1_binary64 rem-sqrt-square_binary64 remove-double-div_binary64 associate--l-_binary64 |
| 1× | unpow1/2_binary64 1-exp_binary64 +-lft-identity_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 count-2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 865 |
| 1 | 214 | 806 |
| 2 | 530 | 806 |
| 3 | 1357 | 806 |
| 4 | 3870 | 806 |
| 5 | 4748 | 806 |
| 6 | 5694 | 806 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 0 | 28 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 28 | 3 | 31 |
Compiled 238 to 170 computations (28.6% saved)
Total 0.1b remaining (82.5%)
Threshold costs 0.1b (82.5%)
Compiled 5046 to 4284 computations (15.1% 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 |
| 171.0ms | 1983× | body | 512 | valid |
| 136.0ms | 4591× | body | 128 | valid |
| 59.0ms | 1003× | body | 256 | valid |
| 45.0ms | 423× | body | 1024 | valid |
Compiled 61 to 57 computations (6.6% saved)
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