Time bar (total: 2.2s)
| 1× | search |
| 2× | egg-herbie |
| 15× | 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 |
| 5× | distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 associate--r-_binary64 +-commutative_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 |
| 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-neg-frac_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 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 16 | 11 |
| 3 | 22 | 11 |
| 4 | 28 | 11 |
| 5 | 43 | 11 |
| 6 | 65 | 11 |
| 7 | 77 | 11 |
| 8 | 89 | 11 |
| 9 | 91 | 11 |
| 10 | 85 | 11 |
| 11 | 71 | 11 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 100% | 0% | 0% | 1 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 13.0ms | 72× | body | 2048 | valid |
| 4.0ms | 135× | body | 128 | valid |
| 3.0ms | 25× | body | 1024 | valid |
| 2.0ms | 18× | body | 512 | valid |
| 0.0ms | 6× | body | 256 | valid |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 15× | 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 |
| 5× | distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 associate--r-_binary64 +-commutative_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 |
| 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-neg-frac_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 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 16 | 11 |
| 3 | 22 | 11 |
| 4 | 28 | 11 |
| 5 | 43 | 11 |
| 6 | 65 | 11 |
| 7 | 77 | 11 |
| 8 | 89 | 11 |
| 9 | 91 | 11 |
| 10 | 85 | 11 |
| 11 | 71 | 11 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
Compiled 7 to 6 computations (14.3% saved)
Found 2 expressions with local error:
| 0.0b | (atan.f64 (+.f64 N 1)) |
| 1.0b | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| 1× | rewrite-expression-head |
| 5× | add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | add-cube-cbrt_binary64 cancel-sign-sub-inv_binary64 |
| 2× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 1× | diff-atan_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 |
2 calls:
| 4.0ms | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| 2.0ms | (atan.f64 (+.f64 N 1)) |
Compiled 339 to 221 computations (34.8% saved)
2 calls:
| 7.0ms | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| 4.0ms | (atan.f64 (+.f64 N 1)) |
Compiled 91 to 78 computations (14.3% saved)
| 1× | egg-herbie |
| 632× | unsub-neg_binary64 |
| 532× | neg-sub0_binary64 |
| 514× | neg-mul-1_binary64 |
| 430× | associate-*l*_binary64 |
| 371× | distribute-rgt-neg-in_binary64 |
| 350× | associate-*r*_binary64 |
| 322× | *-commutative_binary64 |
| 320× | distribute-rgt-neg-out_binary64 |
| 305× | distribute-lft-neg-out_binary64 |
| 255× | unswap-sqr_binary64 |
| 223× | distribute-rgt-in_binary64 |
| 193× | distribute-lft-in_binary64 |
| 168× | distribute-neg-in_binary64 |
| 144× | distribute-rgt-out_binary64 |
| 135× | cancel-sign-sub-inv_binary64 |
| 128× | sub-neg_binary64 |
| 104× | sqr-pow_binary64 |
| 101× | +-commutative_binary64 |
| 86× | times-frac_binary64 |
| 84× | remove-double-neg_binary64 |
| 73× | distribute-lft-out_binary64 |
| 58× | exp-prod_binary64 |
| 56× | distribute-lft-neg-in_binary64 |
| 51× | cancel-sign-sub_binary64 |
| 49× | div-sub_binary64 |
| 46× | difference-of-squares_binary64 |
| 37× | associate-+l-_binary64 |
| 35× | exp-sum_binary64 distribute-neg-out_binary64 |
| 33× | associate-+r+_binary64 |
| 32× | pow-sqr_binary64 |
| 30× | associate-+l+_binary64 |
| 28× | mul0-rgt_binary64 mul0-lft_binary64 |
| 26× | exp-diff_binary64 swap-sqr_binary64 associate--r+_binary64 |
| 25× | cube-prod_binary64 |
| 24× | pow-plus_binary64 sub0-neg_binary64 |
| 21× | cube-unmult_binary64 |
| 17× | distribute-rgt-out--_binary64 |
| 16× | associate-+r-_binary64 |
| 14× | sqr-neg_binary64 associate-/l*_binary64 |
| 11× | +-rgt-identity_binary64 |
| 10× | unpow3_binary64 distribute-frac-neg_binary64 associate--l+_binary64 |
| 8× | log-prod_binary64 |
| 7× | mul-1-neg_binary64 |
| 6× | cube-neg_binary64 --rgt-identity_binary64 associate-/r*_binary64 |
| 5× | unpow2_binary64 exp-neg_binary64 distribute-rgt1-in_binary64 |
| 4× | rem-sqrt-square_binary64 |
| 3× | cube-mult_binary64 *-lft-identity_binary64 |
| 2× | +-lft-identity_binary64 |
| 1× | unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 *-rgt-identity_binary64 +-inverses_binary64 distribute-lft-out--_binary64 associate--r-_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 unpow1/2_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 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 423 |
| 1 | 101 | 400 |
| 2 | 185 | 391 |
| 3 | 553 | 391 |
| 4 | 1681 | 391 |
| 5 | 2674 | 391 |
| 6 | 4338 | 391 |
| 7 | 4998 | 391 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 7 | 1 | 8 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 8 | 1 | 9 |
Compiled 85 to 61 computations (28.2% saved)
Found 2 expressions with local error:
| 0.0b | (*.f64 N (+.f64 N 1)) |
| 0.4b | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| 1× | rewrite-expression-head |
| 6× | add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 4× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | add-log-exp_binary64 associate-*r/_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 *-commutative_binary64 |
2 calls:
| 6.0ms | (*.f64 N (+.f64 N 1)) |
| 0.0ms | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
Compiled 435 to 334 computations (23.2% saved)
2 calls:
| 10.0ms | (*.f64 N (+.f64 N 1)) |
| 6.0ms | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
Compiled 157 to 140 computations (10.8% saved)
| 1× | egg-herbie |
| 658× | distribute-rgt-in_binary64 |
| 525× | distribute-lft-in_binary64 |
| 475× | unswap-sqr_binary64 |
| 213× | associate-+l+_binary64 |
| 199× | associate-+r+_binary64 |
| 192× | associate-*r/_binary64 |
| 168× | associate-*l/_binary64 |
| 156× | associate-*l*_binary64 |
| 149× | *-commutative_binary64 |
| 130× | sqr-pow_binary64 |
| 129× | distribute-rgt-out_binary64 |
| 116× | associate-*r*_binary64 |
| 82× | associate-/l*_binary64 |
| 79× | exp-prod_binary64 |
| 76× | difference-of-squares_binary64 |
| 62× | associate-/l/_binary64 |
| 55× | cancel-sign-sub-inv_binary64 |
| 48× | distribute-lft-out_binary64 |
| 46× | associate-/r/_binary64 |
| 44× | *-rgt-identity_binary64 distribute-lft1-in_binary64 |
| 43× | log-div_binary64 cube-div_binary64 pow-sqr_binary64 |
| 41× | associate-/r*_binary64 |
| 37× | rem-sqrt-square_binary64 distribute-rgt1-in_binary64 |
| 34× | log-prod_binary64 |
| 31× | *-lft-identity_binary64 |
| 29× | sub-neg_binary64 |
| 27× | cube-prod_binary64 |
| 23× | pow-plus_binary64 distribute-rgt-neg-in_binary64 |
| 20× | distribute-lft-neg-in_binary64 |
| 19× | unpow3_binary64 |
| 18× | distribute-rgt-out--_binary64 |
| 17× | +-commutative_binary64 |
| 14× | exp-sqrt_binary64 cube-unmult_binary64 unsub-neg_binary64 |
| 10× | cube-mult_binary64 swap-sqr_binary64 |
| 9× | exp-sum_binary64 |
| 8× | unpow1/2_binary64 |
| 7× | neg-sub0_binary64 difference-of-sqr--1_binary64 |
| 6× | difference-of-sqr-1_binary64 associate-+l-_binary64 |
| 5× | log-pow_binary64 mul-1-neg_binary64 count-2_binary64 associate-+r-_binary64 |
| 4× | sub0-neg_binary64 +-rgt-identity_binary64 |
| 3× | log-rec_binary64 unpow2_binary64 times-frac_binary64 distribute-neg-frac_binary64 |
| 2× | exp-lft-sqr_binary64 exp-diff_binary64 neg-mul-1_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 |
| 1× | unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_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-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 /-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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 455 |
| 1 | 129 | 395 |
| 2 | 316 | 394 |
| 3 | 747 | 392 |
| 4 | 2538 | 392 |
| 5 | 3430 | 392 |
| 6 | 4786 | 392 |
| 7 | 4927 | 392 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 27 | 6 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 28 | 6 | 34 |
Compiled 442 to 280 computations (36.7% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 N (+.f64 1 (*.f64 N N))) |
| 0.4b | (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
| 1× | rewrite-expression-head |
| 7× | add-log-exp_binary64 |
| 4× | *-un-lft-identity_binary64 |
| 3× | sum-log_binary64 |
| 2× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 |
| 1× | flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 associate-+r+_binary64 +-commutative_binary64 |
2 calls:
| 5.0ms | (+.f64 N (+.f64 1 (*.f64 N N))) |
| 1.0ms | (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
Compiled 349 to 208 computations (40.4% saved)
2 calls:
| 13.0ms | (+.f64 N (+.f64 1 (*.f64 N N))) |
| 9.0ms | (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
Compiled 169 to 151 computations (10.7% saved)
| 1× | egg-herbie |
| 532× | associate-+l-_binary64 |
| 419× | associate-+r-_binary64 |
| 306× | sub-neg_binary64 |
| 264× | distribute-rgt-out_binary64 |
| 240× | distribute-rgt-in_binary64 |
| 206× | distribute-lft-in_binary64 |
| 181× | +-commutative_binary64 |
| 176× | associate--r-_binary64 |
| 154× | distribute-rgt-out--_binary64 |
| 148× | cancel-sign-sub-inv_binary64 associate--l-_binary64 |
| 137× | distribute-rgt-neg-in_binary64 |
| 132× | *-commutative_binary64 |
| 122× | neg-mul-1_binary64 |
| 105× | associate--l+_binary64 |
| 99× | distribute-lft-neg-in_binary64 |
| 96× | distribute-neg-in_binary64 |
| 94× | unswap-sqr_binary64 |
| 86× | exp-prod_binary64 |
| 83× | unsub-neg_binary64 |
| 75× | associate--r+_binary64 |
| 70× | distribute-lft-out--_binary64 |
| 65× | associate-*l*_binary64 |
| 62× | sqr-pow_binary64 |
| 59× | associate-*r*_binary64 |
| 54× | associate-+l+_binary64 |
| 46× | difference-of-squares_binary64 associate-+r+_binary64 |
| 41× | neg-sub0_binary64 distribute-lft-out_binary64 |
| 34× | sub0-neg_binary64 distribute-rgt1-in_binary64 |
| 28× | swap-sqr_binary64 |
| 27× | exp-sum_binary64 cancel-sign-sub_binary64 |
| 26× | div-sub_binary64 |
| 25× | +-rgt-identity_binary64 distribute-lft-neg-out_binary64 |
| 23× | cube-prod_binary64 |
| 21× | exp-diff_binary64 |
| 18× | distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 associate-/l*_binary64 |
| 14× | pow-plus_binary64 cube-unmult_binary64 times-frac_binary64 *-rgt-identity_binary64 associate-/l/_binary64 |
| 13× | *-lft-identity_binary64 pow-sqr_binary64 |
| 11× | distribute-neg-out_binary64 associate-*r/_binary64 |
| 10× | associate-/r/_binary64 |
| 9× | associate-/r*_binary64 |
| 7× | unpow3_binary64 unpow1/2_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 |
| 5× | prod-exp_binary64 cube-div_binary64 sqr-neg_binary64 |
| 4× | +-inverses_binary64 |
| 3× | difference-of-sqr-1_binary64 associate-*l/_binary64 |
| 2× | log-prod_binary64 cube-mult_binary64 |
| 1× | unpow2_binary64 unpow1_binary64 exp-lft-sqr_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 mul-1-neg_binary64 difference-of-sqr--1_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 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 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 --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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 477 |
| 1 | 113 | 429 |
| 2 | 309 | 429 |
| 3 | 1098 | 420 |
| 4 | 2051 | 420 |
| 5 | 4764 | 420 |
| 6 | 4965 | 420 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 18 | 0 | 18 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 18 | 6 | 24 |
Compiled 209 to 134 computations (35.9% saved)
Found 4 expressions with local error:
| 0.4b | (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) (cbrt.f64 (+.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 N (*.f64 N N)))))) |
| 17.2b | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 17.2b | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 17.2b | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 1× | rewrite-expression-head |
| 15× | cbrt-prod_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 7× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 |
| 6× | cbrt-div_binary64 |
| 4× | pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | pow1/3_binary64 flip3-+_binary64 flip-+_binary64 distribute-rgt1-in_binary64 distribute-rgt-out_binary64 |
4 calls:
| 3.0ms | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 3.0ms | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 3.0ms | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 0.0ms | (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) (cbrt.f64 (+.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 N (*.f64 N N)))))) |
Compiled 1735 to 426 computations (75.4% saved)
4 calls:
| 24.0ms | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 22.0ms | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 22.0ms | (cbrt.f64 (+.f64 N (*.f64 N N))) |
| 6.0ms | (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) (cbrt.f64 (+.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 N (*.f64 N N)))))) |
Compiled 2016 to 1328 computations (34.1% saved)
| 1× | egg-herbie |
| 692× | associate-*l*_binary64 |
| 556× | associate-*r*_binary64 |
| 351× | neg-mul-1_binary64 |
| 324× | distribute-rgt-neg-in_binary64 |
| 304× | distribute-lft-neg-in_binary64 |
| 192× | difference-of-squares_binary64 |
| 191× | distribute-rgt-out--_binary64 |
| 161× | *-commutative_binary64 |
| 145× | cancel-sign-sub-inv_binary64 |
| 139× | unswap-sqr_binary64 |
| 131× | sub-neg_binary64 |
| 107× | distribute-lft-neg-out_binary64 |
| 96× | unsub-neg_binary64 |
| 92× | distribute-rgt-neg-out_binary64 |
| 90× | distribute-rgt-out_binary64 |
| 88× | swap-sqr_binary64 |
| 86× | distribute-rgt-in_binary64 |
| 84× | cube-prod_binary64 sqr-pow_binary64 |
| 74× | distribute-lft-in_binary64 |
| 66× | neg-sub0_binary64 |
| 61× | +-commutative_binary64 |
| 59× | associate-/r*_binary64 |
| 57× | associate-+l+_binary64 |
| 50× | distribute-neg-in_binary64 |
| 49× | distribute-lft-out_binary64 |
| 42× | associate-+l-_binary64 |
| 36× | pow-plus_binary64 distribute-rgt1-in_binary64 associate-+r+_binary64 |
| 33× | unpow3_binary64 |
| 31× | cube-unmult_binary64 |
| 25× | associate-+r-_binary64 |
| 24× | distribute-lft1-in_binary64 |
| 23× | sub0-neg_binary64 |
| 21× | associate--l+_binary64 |
| 19× | cube-mult_binary64 +-rgt-identity_binary64 |
| 14× | distribute-lft-out--_binary64 associate--r+_binary64 |
| 10× | *-rgt-identity_binary64 *-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-neg-out_binary64 |
| 9× | associate-/l/_binary64 |
| 7× | unpow1/3_binary64 pow-sqr_binary64 |
| 4× | cancel-sign-sub_binary64 |
| 3× | mul-1-neg_binary64 difference-of-sqr--1_binary64 |
| 2× | log-prod_binary64 unpow2_binary64 exp-prod_binary64 cube-neg_binary64 rem-sqrt-square_binary64 +-lft-identity_binary64 difference-of-sqr-1_binary64 |
| 1× | unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 remove-double-neg_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 1422 |
| 1 | 179 | 1386 |
| 2 | 374 | 1386 |
| 3 | 943 | 1386 |
| 4 | 2976 | 1386 |
| 5 | 4830 | 1386 |
| 6 | 5066 | 1386 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 0 | 50 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 50 | 6 | 56 |
Compiled 1044 to 481 computations (53.9% saved)
Total 0.0b remaining (9.9%)
Threshold costs 0.0b (9.9%)
Compiled 1775 to 1368 computations (22.9% saved)
| 1× | egg-herbie |
| 2× | +-commutative_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 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 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 12 | 13 |
| 2 | 11 | 13 |
Compiled 9 to 8 computations (11.1% saved)
| 1× | intervals |
| 385.0ms | 2100× | body | 2048 | valid |
| 141.0ms | 4145× | body | 128 | valid |
| 124.0ms | 973× | body | 1024 | valid |
| 48.0ms | 518× | body | 512 | valid |
| 17.0ms | 264× | body | 256 | valid |
Compiled 128 to 99 computations (22.7% saved)
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