Time bar (total: 3.3s)
| 1× | search |
| 2× | egg-herbie |
| 43× | distribute-rgt-in_binary64 |
| 39× | distribute-lft-in_binary64 |
| 25× | *-commutative_binary64 |
| 16× | associate-+l+_binary64 |
| 15× | +-commutative_binary64 |
| 13× | associate-+r+_binary64 |
| 6× | distribute-rgt-out_binary64 |
| 1× | swap-b-c swap-b-d |
| 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 1-exp_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 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 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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 swap-c-d |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 70 |
| 1 | 73 | 70 |
| 2 | 113 | 70 |
| 3 | 147 | 70 |
| 4 | 135 | 70 |
| 5 | 133 | 70 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 0% | 100% | 0 |
| 0% | 0% | 100% | 1 |
| 0% | 0% | 100% | 2 |
| 0% | 0% | 100% | 3 |
| 0% | 0% | 100% | 4 |
| 0% | 0% | 100% | 5 |
| 0% | 0% | 100% | 6 |
| 0% | 0% | 100% | 7 |
| 0% | 0% | 100% | 8 |
| 0% | 0% | 100% | 9 |
| 0% | 0% | 100% | 10 |
| 0% | 0% | 100% | 11 |
| 0% | 0% | 100% | 12 |
| 0% | 0% | 100% | 13 |
| 0% | 0% | 100% | 14 |
(sort b c d)
Compiled 24 to 20 computations (16.7% saved)
| 1× | intervals |
| 10.0ms | 256× | pre | 128 | true |
| 6.0ms | 256× | body | 128 | valid |
| 0.0ms | 3× | pre | 128 | false |
Compiled 31 to 31 computations (0% saved)
| 1× | egg-herbie |
| 10× | distribute-rgt-in_binary64 distribute-lft-in_binary64 |
| 7× | *-commutative_binary64 |
| 6× | associate-+l+_binary64 associate-+r+_binary64 |
| 5× | +-commutative_binary64 |
| 2× | distribute-rgt-out_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_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 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 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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 19 | 10 |
| 2 | 37 | 10 |
| 3 | 50 | 10 |
| 4 | 46 | 10 |
| 5 | 43 | 10 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
Compiled 7 to 7 computations (0% saved)
Found 1 expressions with local error:
| 0.0b | (*.f64 a (+.f64 (+.f64 b c) d)) |
| 1× | rewrite-expression-head |
| 8× | *-un-lft-identity_binary64 |
| 5× | add-sqr-sqrt_binary64 associate-*r*_binary64 |
| 3× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 distribute-lft-out_binary64 |
| 2× | associate-*r/_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 flip-+_binary64 *-commutative_binary64 |
1 calls:
| 13.0ms | (*.f64 a (+.f64 (+.f64 b c) d)) |
Compiled 300 to 75 computations (75% saved)
1 calls:
| 35.0ms | (*.f64 a (+.f64 (+.f64 b c) d)) |
Compiled 315 to 269 computations (14.6% saved)
| 1× | egg-herbie |
| 676× | distribute-rgt-in_binary64 |
| 674× | distribute-lft-in_binary64 |
| 342× | associate-*l*_binary64 |
| 318× | unswap-sqr_binary64 |
| 291× | rem-sqrt-square_binary64 |
| 272× | associate-*r*_binary64 |
| 240× | +-commutative_binary64 |
| 198× | distribute-rgt-out_binary64 |
| 156× | sqr-pow_binary64 |
| 116× | distribute-neg-in_binary64 |
| 110× | distribute-lft-out_binary64 |
| 103× | sub-neg_binary64 |
| 98× | *-commutative_binary64 |
| 90× | cancel-sign-sub-inv_binary64 |
| 78× | distribute-rgt-neg-in_binary64 |
| 61× | associate-+l+_binary64 |
| 54× | associate-+r+_binary64 |
| 53× | pow-sqr_binary64 |
| 52× | exp-prod_binary64 |
| 48× | associate-/l*_binary64 |
| 46× | neg-mul-1_binary64 |
| 44× | associate--r+_binary64 |
| 43× | neg-sub0_binary64 distribute-lft-neg-in_binary64 |
| 40× | unsub-neg_binary64 *-rgt-identity_binary64 |
| 39× | *-lft-identity_binary64 |
| 38× | associate-/l/_binary64 |
| 34× | distribute-lft-neg-out_binary64 |
| 33× | associate--l+_binary64 |
| 31× | associate-*r/_binary64 |
| 29× | exp-sum_binary64 |
| 24× | associate-/r/_binary64 |
| 23× | associate-+l-_binary64 |
| 18× | distribute-rgt-neg-out_binary64 |
| 17× | distribute-rgt-out--_binary64 |
| 16× | swap-sqr_binary64 |
| 15× | unpow1/2_binary64 associate-/r*_binary64 |
| 14× | sub0-neg_binary64 |
| 13× | associate-+r-_binary64 |
| 11× | log-prod_binary64 cube-unmult_binary64 |
| 10× | +-rgt-identity_binary64 |
| 8× | unpow3_binary64 associate--r-_binary64 |
| 6× | log-div_binary64 cube-div_binary64 cube-prod_binary64 difference-of-squares_binary64 |
| 4× | pow-plus_binary64 distribute-lft-out--_binary64 |
| 3× | --rgt-identity_binary64 |
| 2× | exp-sqrt_binary64 cube-mult_binary64 |
| 1× | exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_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 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 div-exp_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-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 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-*l/_binary64 associate--l-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 498 |
| 1 | 160 | 456 |
| 2 | 599 | 456 |
| 3 | 2228 | 456 |
| 4 | 3008 | 456 |
| 5 | 3581 | 456 |
| 6 | 4784 | 456 |
| 7 | 5029 | 456 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 3 | 29 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 4 | 30 |
Compiled 237 to 74 computations (68.8% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)) |
| 0.0b | (*.f64 a (+.f64 b c)) |
| 1× | rewrite-expression-head |
| 6× | add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 4× | pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 associate-*r/_binary64 flip-+_binary64 distribute-lft-out_binary64 associate-+l+_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64 |
2 calls:
| 6.0ms | (+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)) |
| 6.0ms | (*.f64 a (+.f64 b c)) |
Compiled 557 to 135 computations (75.8% saved)
2 calls:
| 43.0ms | (+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)) |
| 25.0ms | (*.f64 a (+.f64 b c)) |
Compiled 589 to 473 computations (19.7% saved)
| 1× | egg-herbie |
| 572× | sub-neg_binary64 |
| 503× | distribute-rgt-in_binary64 |
| 474× | distribute-lft-in_binary64 |
| 219× | *-commutative_binary64 |
| 210× | cancel-sign-sub-inv_binary64 |
| 198× | unswap-sqr_binary64 |
| 166× | associate--l+_binary64 |
| 163× | associate--r+_binary64 |
| 139× | distribute-rgt-out_binary64 |
| 121× | sqr-pow_binary64 |
| 115× | unsub-neg_binary64 |
| 110× | associate-+l+_binary64 |
| 107× | associate-+r+_binary64 |
| 106× | associate-*l*_binary64 |
| 104× | distribute-rgt-neg-in_binary64 |
| 103× | neg-mul-1_binary64 |
| 99× | neg-sub0_binary64 |
| 89× | associate-*r*_binary64 |
| 88× | distribute-neg-in_binary64 |
| 84× | distribute-lft-out_binary64 |
| 82× | associate-+l-_binary64 |
| 74× | distribute-lft-neg-in_binary64 |
| 57× | associate-+r-_binary64 |
| 54× | exp-prod_binary64 distribute-rgt-out--_binary64 |
| 41× | *-lft-identity_binary64 |
| 39× | *-rgt-identity_binary64 |
| 37× | sub0-neg_binary64 |
| 36× | +-commutative_binary64 |
| 34× | exp-sum_binary64 |
| 31× | +-rgt-identity_binary64 |
| 29× | pow-sqr_binary64 |
| 28× | distribute-lft-neg-out_binary64 |
| 25× | cube-prod_binary64 |
| 23× | swap-sqr_binary64 |
| 21× | distribute-lft-out--_binary64 |
| 17× | log-prod_binary64 |
| 13× | distribute-rgt-neg-out_binary64 |
| 12× | associate--r-_binary64 |
| 10× | difference-of-squares_binary64 |
| 8× | unpow3_binary64 |
| 6× | unpow1/2_binary64 cube-mult_binary64 |
| 4× | associate-/l*_binary64 |
| 2× | rem-sqrt-square_binary64 +-lft-identity_binary64 associate-/l/_binary64 associate-*r/_binary64 |
| 1× | prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_binary64 remove-double-neg_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 unpow2_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 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 714 |
| 1 | 227 | 687 |
| 2 | 800 | 684 |
| 3 | 2616 | 681 |
| 4 | 3813 | 681 |
| 5 | 4951 | 681 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 0 | 41 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 41 | 4 | 45 |
Compiled 274 to 86 computations (68.6% saved)
Found 4 expressions with local error:
| 0.0b | (*.f64 a (+.f64 d (+.f64 b c))) |
| 0.1b | (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) |
| 0.1b | (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) |
| 0.5b | (*.f64 (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))) |
| 1× | rewrite-expression-head |
| 61× | pow1_binary64 |
| 32× | sqrt-pow1_binary64 |
| 23× | pow-prod-down_binary64 |
| 20× | associate-*r/_binary64 |
| 16× | sqrt-div_binary64 |
| 15× | *-un-lft-identity_binary64 |
| 14× | add-sqr-sqrt_binary64 |
| 12× | pow1/2_binary64 |
| 10× | pow-prod-up_binary64 add-cube-cbrt_binary64 |
| 9× | flip3-+_binary64 flip-+_binary64 associate-*r*_binary64 |
| 8× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 7× | associate-*l*_binary64 |
| 6× | pow-sqr_binary64 sqrt-prod_binary64 |
| 4× | add-log-exp_binary64 frac-times_binary64 swap-sqr_binary64 |
| 3× | distribute-lft-out_binary64 |
| 2× | prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 associate-*l/_binary64 *-commutative_binary64 |
| 1× | pow2_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-square-sqrt_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 |
4 calls:
| 17.0ms | (*.f64 (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))) |
| 8.0ms | (*.f64 a (+.f64 d (+.f64 b c))) |
| 7.0ms | (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) |
| 6.0ms | (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) |
Compiled 2268 to 347 computations (84.7% saved)
4 calls:
| 55.0ms | (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) |
| 54.0ms | (*.f64 (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))) |
| 54.0ms | (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) |
| 40.0ms | (*.f64 a (+.f64 d (+.f64 b c))) |
Compiled 3423 to 2261 computations (33.9% saved)
| 1× | egg-herbie |
| 801× | distribute-rgt-in_binary64 |
| 770× | distribute-lft-in_binary64 |
| 162× | associate-*l*_binary64 |
| 153× | associate-*r*_binary64 |
| 150× | exp-prod_binary64 |
| 149× | unswap-sqr_binary64 |
| 80× | times-frac_binary64 |
| 77× | *-commutative_binary64 |
| 68× | log-prod_binary64 |
| 66× | cancel-sign-sub-inv_binary64 |
| 47× | associate-/l*_binary64 |
| 44× | exp-sum_binary64 cube-prod_binary64 |
| 41× | sqr-pow_binary64 |
| 37× | distribute-rgt-neg-in_binary64 |
| 35× | distribute-lft-neg-in_binary64 |
| 30× | associate-/r*_binary64 |
| 29× | sub-neg_binary64 |
| 24× | *-lft-identity_binary64 |
| 23× | *-rgt-identity_binary64 |
| 22× | associate-*l/_binary64 |
| 19× | rem-sqrt-square_binary64 +-commutative_binary64 |
| 18× | neg-mul-1_binary64 neg-sub0_binary64 |
| 16× | distribute-neg-in_binary64 distribute-rgt-out_binary64 associate-*r/_binary64 |
| 15× | unpow3_binary64 |
| 14× | swap-sqr_binary64 |
| 13× | pow-plus_binary64 |
| 12× | associate-/r/_binary64 |
| 11× | log-pow_binary64 distribute-lft-out_binary64 |
| 8× | cube-unmult_binary64 rem-square-sqrt_binary64 distribute-lft-neg-out_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l+_binary64 |
| 7× | cube-mult_binary64 unsub-neg_binary64 |
| 6× | unpow1/2_binary64 distribute-rgt-neg-out_binary64 associate-+r+_binary64 |
| 5× | pow-sqr_binary64 distribute-rgt-out--_binary64 |
| 4× | unpow2_binary64 unpow1_binary64 /-rgt-identity_binary64 count-2_binary64 associate-/l/_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 difference-of-squares_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 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-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 2559 |
| 1 | 344 | 2391 |
| 2 | 1307 | 2340 |
| 3 | 4774 | 2324 |
| 4 | 4969 | 2324 |
| 5 | 4993 | 2324 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 0 | 102 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 102 | 4 | 106 |
Compiled 991 to 251 computations (74.7% saved)
Found 4 expressions with local error:
| 0.0b | (sqrt.f64 (+.f64 (+.f64 b c) d)) |
| 0.0b | (sqrt.f64 (+.f64 d (+.f64 b c))) |
| 0.2b | (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) |
| 0.3b | (*.f64 (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 (+.f64 b c) d))) |
| 1× | rewrite-expression-head |
| 31× | *-un-lft-identity_binary64 |
| 21× | sqrt-prod_binary64 |
| 18× | sqrt-div_binary64 |
| 17× | add-sqr-sqrt_binary64 |
| 16× | associate-*r*_binary64 |
| 13× | pow1_binary64 |
| 12× | distribute-lft-out_binary64 |
| 11× | add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 |
| 10× | associate-*r/_binary64 |
| 9× | flip3-+_binary64 flip-+_binary64 |
| 4× | pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-times_binary64 associate-*l*_binary64 |
| 2× | associate-*l/_binary64 *-commutative_binary64 unswap-sqr_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 |
4 calls:
| 17.0ms | (*.f64 (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 (+.f64 b c) d))) |
| 9.0ms | (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) |
| 6.0ms | (sqrt.f64 (+.f64 (+.f64 b c) d)) |
| 5.0ms | (sqrt.f64 (+.f64 d (+.f64 b c))) |
Compiled 1946 to 324 computations (83.4% saved)
4 calls:
| 45.0ms | (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) |
| 38.0ms | (*.f64 (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 (+.f64 b c) d))) |
| 28.0ms | (sqrt.f64 (+.f64 (+.f64 b c) d)) |
| 27.0ms | (sqrt.f64 (+.f64 d (+.f64 b c))) |
Compiled 2236 to 1574 computations (29.6% saved)
| 1× | egg-herbie |
| 737× | distribute-rgt-in_binary64 |
| 713× | distribute-lft-in_binary64 |
| 668× | sub-neg_binary64 |
| 319× | *-commutative_binary64 |
| 208× | associate-*l*_binary64 |
| 180× | associate--r+_binary64 |
| 156× | associate-*r*_binary64 |
| 149× | cancel-sign-sub-inv_binary64 |
| 140× | associate--l+_binary64 |
| 138× | associate-+l-_binary64 |
| 125× | associate-+r-_binary64 |
| 91× | unsub-neg_binary64 |
| 90× | associate-+l+_binary64 |
| 88× | neg-mul-1_binary64 |
| 82× | neg-sub0_binary64 |
| 80× | distribute-rgt-neg-in_binary64 |
| 71× | distribute-lft-neg-in_binary64 |
| 63× | sqr-pow_binary64 associate-+r+_binary64 |
| 62× | exp-prod_binary64 |
| 56× | *-lft-identity_binary64 |
| 53× | unswap-sqr_binary64 |
| 50× | +-commutative_binary64 |
| 48× | distribute-neg-in_binary64 |
| 46× | *-rgt-identity_binary64 |
| 34× | swap-sqr_binary64 |
| 32× | exp-sum_binary64 |
| 23× | distribute-rgt-out--_binary64 |
| 22× | distribute-lft-neg-out_binary64 |
| 18× | log-prod_binary64 distribute-rgt-neg-out_binary64 |
| 17× | associate-/r*_binary64 |
| 15× | distribute-rgt-out_binary64 |
| 14× | cube-prod_binary64 +-rgt-identity_binary64 |
| 13× | rem-sqrt-square_binary64 associate--r-_binary64 |
| 11× | pow-sqr_binary64 |
| 10× | associate--l-_binary64 |
| 7× | unpow1/2_binary64 associate-/l*_binary64 |
| 6× | cube-unmult_binary64 sub0-neg_binary64 |
| 5× | associate-/l/_binary64 |
| 4× | rem-square-sqrt_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 |
| 3× | unpow3_binary64 cube-mult_binary64 |
| 2× | unpow2_binary64 pow-plus_binary64 distribute-lft-out_binary64 count-2_binary64 associate-*r/_binary64 |
| 1× | unpow1_binary64 exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 sqr-neg_binary64 div-sub_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 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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 2289 |
| 1 | 377 | 2165 |
| 2 | 1173 | 2122 |
| 3 | 3538 | 2119 |
| 4 | 4804 | 2119 |
| 5 | 5552 | 2119 |
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 78 | 0 | 78 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 78 | 4 | 82 |
Compiled 1055 to 263 computations (75.1% saved)
Total 0.0b remaining (72.6%)
Threshold costs 0.0b (72.6%)
Compiled 4290 to 3221 computations (24.9% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 +-commutative_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 1-exp_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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 13 | 13 |
| 2 | 13 | 13 |
(sort b c d)
Compiled 27 to 24 computations (11.1% saved)
| 1× | intervals |
| 318.0ms | 8000× | pre | 128 | true |
| 195.0ms | 8000× | body | 128 | valid |
Compiled 93 to 90 computations (3.2% saved)
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