Time bar (total: 3.0s)
| 1× | search |
| 2× | egg-herbie |
| 100× | distribute-rgt-in_binary64 |
| 78× | associate-+l+_binary64 |
| 66× | associate-+r+_binary64 |
| 64× | distribute-lft-in_binary64 |
| 47× | +-commutative_binary64 |
| 24× | *-rgt-identity_binary64 |
| 18× | distribute-rgt-out_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 16× | *-commutative_binary64 |
| 15× | *-lft-identity_binary64 |
| 1× | 1-exp_binary64 swap-x-y |
| 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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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--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 | 16 | 40 |
| 1 | 43 | 40 |
| 2 | 103 | 40 |
| 3 | 174 | 40 |
| 4 | 302 | 40 |
| 5 | 302 | 40 |
| 6 | 278 | 40 |
| 7 | 264 | 40 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 21.8% | 78% | 0.1% | 7 |
| 26.5% | 73.3% | 0.1% | 8 |
| 36.7% | 63.2% | 0.1% | 9 |
| 41.3% | 49.9% | 8.7% | 10 |
| 47.2% | 43.3% | 9.5% | 11 |
| 54.4% | 35.5% | 10.1% | 12 |
| 57.9% | 27.4% | 14.7% | 13 |
| 61.7% | 23.2% | 15.1% | 14 |
(sort x y)
Compiled 8 to 8 computations (0% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
| 0.0ms | 12× | body | 128 | invalid |
Compiled 15 to 18 computations (-20% saved)
| 1× | egg-herbie |
| 33× | distribute-rgt-in_binary64 |
| 26× | associate-+l+_binary64 |
| 22× | associate-+r+_binary64 |
| 21× | distribute-lft-in_binary64 |
| 16× | +-commutative_binary64 |
| 11× | *-rgt-identity_binary64 |
| 8× | distribute-rgt-out_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 7× | *-lft-identity_binary64 |
| 6× | *-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 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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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--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 | 43 | 10 |
| 3 | 72 | 10 |
| 4 | 116 | 10 |
| 5 | 118 | 10 |
| 6 | 110 | 10 |
| 7 | 104 | 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 (+.f64 x y) (+.f64 z 1)) |
| 1× | rewrite-expression-head |
| 7× | *-un-lft-identity_binary64 |
| 6× | flip3-+_binary64 flip-+_binary64 |
| 5× | add-sqr-sqrt_binary64 |
| 4× | frac-times_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 3× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 |
| 2× | associate-*l/_binary64 associate-*r/_binary64 distribute-lft-out_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 *-commutative_binary64 |
1 calls:
| 8.0ms | (*.f64 (+.f64 x y) (+.f64 z 1)) |
Compiled 456 to 237 computations (48% saved)
1 calls:
| 29.0ms | (*.f64 (+.f64 x y) (+.f64 z 1)) |
Compiled 292 to 216 computations (26% saved)
| 1× | egg-herbie |
| 803× | distribute-rgt-in_binary64 |
| 766× | distribute-lft-in_binary64 |
| 258× | unsub-neg_binary64 |
| 250× | cancel-sign-sub-inv_binary64 |
| 230× | sub-neg_binary64 |
| 224× | neg-mul-1_binary64 |
| 216× | neg-sub0_binary64 |
| 211× | *-commutative_binary64 |
| 161× | associate-+r+_binary64 |
| 117× | associate-+l+_binary64 |
| 104× | unswap-sqr_binary64 |
| 87× | sqr-pow_binary64 |
| 79× | exp-sum_binary64 |
| 78× | distribute-rgt-out_binary64 |
| 77× | associate-*l*_binary64 |
| 72× | *-rgt-identity_binary64 |
| 70× | distribute-lft-neg-out_binary64 |
| 64× | associate-+l-_binary64 |
| 63× | associate-*r*_binary64 |
| 62× | *-lft-identity_binary64 distribute-rgt-neg-out_binary64 |
| 53× | exp-prod_binary64 |
| 50× | associate-+r-_binary64 |
| 43× | rem-sqrt-square_binary64 |
| 40× | sub0-neg_binary64 |
| 34× | distribute-rgt-neg-in_binary64 |
| 33× | +-commutative_binary64 |
| 29× | +-rgt-identity_binary64 distribute-neg-in_binary64 |
| 25× | associate--r+_binary64 |
| 23× | distribute-lft-neg-in_binary64 |
| 20× | remove-double-neg_binary64 |
| 19× | mul-1-neg_binary64 |
| 16× | pow-sqr_binary64 distribute-neg-out_binary64 |
| 14× | swap-sqr_binary64 |
| 12× | cube-prod_binary64 |
| 10× | distribute-rgt1-in_binary64 |
| 9× | unpow1/2_binary64 distribute-lft1-in_binary64 |
| 8× | div-sub_binary64 difference-of-squares_binary64 distribute-rgt-out--_binary64 |
| 7× | log-prod_binary64 exp-diff_binary64 |
| 6× | sqr-neg_binary64 distribute-lft-out_binary64 |
| 3× | unpow3_binary64 cube-unmult_binary64 cube-mult_binary64 |
| 2× | associate-/l/_binary64 associate-/l*_binary64 associate-*r/_binary64 associate--l+_binary64 |
| 1× | pow-plus_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 difference-of-sqr-1_binary64 count-2_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 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 700 |
| 1 | 270 | 622 |
| 2 | 854 | 622 |
| 3 | 3032 | 622 |
| 4 | 3711 | 622 |
| 5 | 4802 | 622 |
| 6 | 4982 | 622 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 3 | 42 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 39 | 4 | 43 |
Compiled 413 to 220 computations (46.7% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x)) |
| 0.0b | (*.f64 z (+.f64 y x)) |
| 1× | rewrite-expression-head |
| 9× | *-un-lft-identity_binary64 |
| 7× | add-log-exp_binary64 |
| 6× | add-sqr-sqrt_binary64 flip3-+_binary64 associate-*r/_binary64 flip-+_binary64 |
| 4× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*r*_binary64 frac-add_binary64 |
| 3× | associate-*l*_binary64 sum-log_binary64 |
| 2× | distribute-rgt-in_binary64 distribute-lft-in_binary64 distribute-lft-out_binary64 distribute-rgt-out_binary64 associate-+l+_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 distribute-lft1-in_binary64 associate-+r+_binary64 +-commutative_binary64 |
2 calls:
| 8.0ms | (+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x)) |
| 6.0ms | (*.f64 z (+.f64 y x)) |
Compiled 782 to 185 computations (76.3% saved)
2 calls:
| 32.0ms | (+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x)) |
| 26.0ms | (*.f64 z (+.f64 y x)) |
Compiled 564 to 395 computations (30% saved)
| 1× | egg-herbie |
| 413× | associate--l+_binary64 |
| 365× | associate-+l+_binary64 |
| 338× | *-commutative_binary64 |
| 333× | associate-+r+_binary64 |
| 319× | distribute-rgt-out_binary64 |
| 304× | associate--r+_binary64 |
| 243× | cancel-sign-sub-inv_binary64 |
| 154× | sub-neg_binary64 |
| 148× | distribute-rgt-in_binary64 |
| 139× | distribute-lft-in_binary64 |
| 127× | unsub-neg_binary64 |
| 122× | associate-*l*_binary64 |
| 120× | neg-mul-1_binary64 |
| 116× | +-commutative_binary64 |
| 104× | associate-*r*_binary64 |
| 92× | distribute-rgt-neg-in_binary64 distribute-rgt-out--_binary64 |
| 78× | distribute-neg-in_binary64 |
| 73× | distribute-lft-neg-in_binary64 |
| 66× | exp-sum_binary64 |
| 59× | distribute-lft-out_binary64 |
| 53× | neg-sub0_binary64 sqr-pow_binary64 |
| 39× | exp-prod_binary64 |
| 35× | distribute-lft-neg-out_binary64 |
| 30× | associate--r-_binary64 |
| 26× | associate--l-_binary64 |
| 24× | distribute-rgt1-in_binary64 |
| 23× | distribute-rgt-neg-out_binary64 |
| 21× | associate-+r-_binary64 |
| 20× | unswap-sqr_binary64 |
| 19× | distribute-lft1-in_binary64 |
| 17× | +-rgt-identity_binary64 |
| 15× | cube-prod_binary64 *-lft-identity_binary64 associate-+l-_binary64 |
| 14× | log-prod_binary64 swap-sqr_binary64 |
| 10× | *-rgt-identity_binary64 |
| 9× | distribute-lft-out--_binary64 |
| 8× | div-sub_binary64 sub0-neg_binary64 |
| 7× | pow-plus_binary64 |
| 6× | unpow3_binary64 unpow1/2_binary64 |
| 5× | prod-exp_binary64 cube-mult_binary64 pow-sqr_binary64 difference-of-squares_binary64 |
| 4× | exp-diff_binary64 |
| 2× | sqr-neg_binary64 rem-sqrt-square_binary64 distribute-neg-out_binary64 associate-/l*_binary64 |
| 1× | unpow2_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_binary64 difference-of-sqr--1_binary64 count-2_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-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 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-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 rem-square-sqrt_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 995 |
| 1 | 322 | 926 |
| 2 | 1227 | 902 |
| 3 | 2782 | 902 |
| 4 | 4897 | 902 |
| 5 | 4774 | 902 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 55 | 1 | 56 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 57 | 3 | 60 |
Compiled 553 to 193 computations (65.1% saved)
Found 3 expressions with local error:
| 0.0b | (+.f64 y (+.f64 x (*.f64 x z))) |
| 0.0b | (+.f64 (*.f64 y z) (+.f64 y (+.f64 x (*.f64 x z)))) |
| 0.0b | (+.f64 x (*.f64 x z)) |
| 1× | rewrite-expression-head |
| 19× | add-log-exp_binary64 |
| 10× | sum-log_binary64 |
| 5× | *-un-lft-identity_binary64 |
| 3× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64 |
| 2× | associate-+r+_binary64 |
| 1× | distribute-lft-out_binary64 |
3 calls:
| 8.0ms | (+.f64 (*.f64 y z) (+.f64 y (+.f64 x (*.f64 x z)))) |
| 4.0ms | (+.f64 y (+.f64 x (*.f64 x z))) |
| 3.0ms | (+.f64 x (*.f64 x z)) |
Compiled 754 to 154 computations (79.6% saved)
3 calls:
| 33.0ms | (+.f64 (*.f64 y z) (+.f64 y (+.f64 x (*.f64 x z)))) |
| 28.0ms | (+.f64 y (+.f64 x (*.f64 x z))) |
| 15.0ms | (+.f64 x (*.f64 x z)) |
Compiled 806 to 560 computations (30.5% saved)
| 1× | egg-herbie |
| 902× | distribute-rgt-in_binary64 |
| 832× | distribute-lft-in_binary64 |
| 373× | associate-*l*_binary64 |
| 332× | associate-*r*_binary64 |
| 299× | sub-neg_binary64 |
| 140× | unsub-neg_binary64 |
| 128× | cancel-sign-sub-inv_binary64 |
| 108× | associate--r+_binary64 |
| 81× | associate--l+_binary64 |
| 76× | sqr-pow_binary64 |
| 73× | distribute-neg-in_binary64 |
| 61× | neg-sub0_binary64 |
| 56× | distribute-rgt-neg-in_binary64 |
| 54× | *-commutative_binary64 |
| 53× | neg-mul-1_binary64 |
| 46× | distribute-lft-neg-in_binary64 |
| 45× | distribute-rgt-out_binary64 |
| 40× | +-commutative_binary64 |
| 35× | distribute-lft-out_binary64 |
| 32× | cube-prod_binary64 |
| 31× | exp-prod_binary64 |
| 29× | associate-+l+_binary64 |
| 28× | distribute-lft-neg-out_binary64 |
| 27× | exp-sum_binary64 associate-+r+_binary64 |
| 25× | *-lft-identity_binary64 |
| 24× | prod-exp_binary64 |
| 20× | *-rgt-identity_binary64 |
| 19× | distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64 |
| 15× | log-prod_binary64 unpow3_binary64 |
| 12× | distribute-rgt1-in_binary64 |
| 10× | pow-sqr_binary64 |
| 9× | pow-plus_binary64 cube-mult_binary64 unswap-sqr_binary64 |
| 8× | swap-sqr_binary64 distribute-lft-out--_binary64 |
| 7× | cube-unmult_binary64 |
| 4× | associate--l-_binary64 |
| 3× | difference-of-squares_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 distribute-lft1-in_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 unpow1/2_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-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1083 |
| 1 | 273 | 984 |
| 2 | 939 | 915 |
| 3 | 4556 | 915 |
| 4 | 4903 | 915 |
| 5 | 5076 | 915 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 0 | 48 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 48 | 3 | 51 |
Compiled 513 to 219 computations (57.3% saved)
Found 2 expressions with local error:
| 0.0b | (*.f64 (+.f64 z 1) (+.f64 y x)) |
| 3.1b | (exp.f64 (log.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))) |
| 1× | rewrite-expression-head |
| 12× | flip3-+_binary64 flip-+_binary64 |
| 9× | *-un-lft-identity_binary64 |
| 8× | frac-times_binary64 log-div_binary64 exp-diff_binary64 |
| 7× | pow1_binary64 add-sqr-sqrt_binary64 |
| 5× | exp-prod_binary64 add-cube-cbrt_binary64 |
| 4× | associate-*l/_binary64 associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 2× | pow-prod-down_binary64 log-pow_binary64 add-log-exp_binary64 distribute-lft-out_binary64 |
| 1× | log-prod_binary64 exp-sum_binary64 rem-exp-log_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64 |
2 calls:
| 10.0ms | (exp.f64 (log.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))) |
| 8.0ms | (*.f64 (+.f64 z 1) (+.f64 y x)) |
Compiled 935 to 541 computations (42.1% saved)
2 calls:
| 683.0ms | (exp.f64 (log.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))) |
| 35.0ms | (*.f64 (+.f64 z 1) (+.f64 y x)) |
Compiled 1457 to 1147 computations (21.3% saved)
| 1× | egg-herbie |
| 561× | associate-/l*_binary64 |
| 374× | *-commutative_binary64 |
| 289× | prod-exp_binary64 |
| 237× | associate-+l+_binary64 |
| 231× | associate-/l/_binary64 |
| 215× | associate-+r+_binary64 |
| 200× | associate-/r*_binary64 |
| 192× | associate-*l/_binary64 |
| 173× | log-prod_binary64 |
| 158× | div-exp_binary64 |
| 143× | log-div_binary64 |
| 142× | distribute-rgt-in_binary64 |
| 138× | exp-prod_binary64 |
| 137× | associate-/r/_binary64 |
| 132× | distribute-lft-in_binary64 |
| 104× | associate-*l*_binary64 |
| 99× | associate-*r/_binary64 |
| 95× | associate-*r*_binary64 |
| 80× | exp-sum_binary64 |
| 66× | times-frac_binary64 |
| 51× | +-commutative_binary64 |
| 46× | sub-neg_binary64 |
| 45× | associate-+r-_binary64 |
| 44× | distribute-rgt-out_binary64 |
| 37× | rem-exp-log_binary64 |
| 29× | cancel-sign-sub-inv_binary64 |
| 25× | log-rec_binary64 |
| 24× | associate--r-_binary64 |
| 23× | associate--l+_binary64 |
| 20× | unsub-neg_binary64 |
| 19× | sqr-pow_binary64 |
| 18× | exp-diff_binary64 /-rgt-identity_binary64 distribute-lft-neg-out_binary64 |
| 17× | associate-+l-_binary64 |
| 16× | neg-sub0_binary64 |
| 15× | *-rgt-identity_binary64 distribute-lft-out_binary64 associate--r+_binary64 |
| 14× | neg-mul-1_binary64 |
| 12× | *-lft-identity_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 |
| 10× | exp-to-pow_binary64 cube-prod_binary64 div-sub_binary64 mul-1-neg_binary64 unswap-sqr_binary64 distribute-frac-neg_binary64 distribute-lft-neg-in_binary64 |
| 9× | rec-exp_binary64 distribute-rgt1-in_binary64 |
| 8× | swap-sqr_binary64 distribute-rgt-neg-in_binary64 |
| 6× | log-pow_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 |
| 4× | *-inverses_binary64 |
| 3× | unpow3_binary64 exp-neg_binary64 cube-unmult_binary64 cube-mult_binary64 remove-double-neg_binary64 count-2_binary64 |
| 2× | rgt-mult-inverse_binary64 pow-sqr_binary64 |
| 1× | unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 difference-of-sqr-1_binary64 difference-of-squares_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 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 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-sqrt-square_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 1532 |
| 1 | 551 | 1329 |
| 2 | 1732 | 1267 |
| 3 | 4034 | 1267 |
| 4 | 5117 | 1267 |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 0 | 76 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 76 | 3 | 79 |
Compiled 834 to 459 computations (45% saved)
Total 0.0b remaining (76.8%)
Threshold costs 0.0b (76.8%)
Compiled 2556 to 2283 computations (10.7% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-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 | 7 | 13 |
| 1 | 10 | 13 |
| 2 | 10 | 13 |
(sort x y)
Compiled 27 to 18 computations (33.3% saved)
| 1× | intervals |
| 198.0ms | 7999× | body | 128 | valid |
| 13.0ms | 587× | body | 128 | invalid |
| 0.0ms | 1× | body | 1024 | valid |
Compiled 47 to 53 computations (-12.8% saved)
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