Time bar (total: 6.7s)
| 1× | search |
| 2× | egg-herbie |
| 4× | associate-/r*_binary64 |
| 2× | *-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 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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_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 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 20 | 40 |
| 2 | 24 | 40 |
| 3 | 24 | 40 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 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 |
| 18.7% | 81.2% | 0.1% | 7 |
| 32.8% | 67.1% | 0.1% | 8 |
| 38.2% | 61.7% | 0.1% | 9 |
| 41% | 58.9% | 0.1% | 10 |
| 43.9% | 56% | 0.1% | 11 |
| 45.4% | 54.5% | 0.1% | 12 |
| 46.9% | 53% | 0.1% | 13 |
| 47.6% | 52.3% | 0.1% | 14 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | intervals |
| 12.0ms | 157× | body | 128 | valid |
| 11.0ms | 25× | body | 2048 | valid |
| 11.0ms | 36× | body | 1024 | valid |
| 5.0ms | 23× | body | 512 | valid |
| 3.0ms | 15× | body | 256 | valid |
Compiled 27 to 25 computations (7.4% saved)
| 1× | egg-herbie |
| 2× | associate-/r*_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 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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_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 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 12 | 20 |
| 2 | 14 | 20 |
| 3 | 14 | 20 |
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 13 to 11 computations (15.4% saved)
Found 3 expressions with local error:
| 7.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 24.5b | (sin.f64 (/.f64 x (*.f64 y 2))) |
| 24.6b | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 1× | rewrite-expression-head |
| 11× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 9× | times-frac_binary64 |
| 5× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | pow1_binary64 add-log-exp_binary64 associate-/l*_binary64 associate-/r*_binary64 |
| 2× | tan-quot_binary64 |
| 1× | div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l/_binary64 |
3 calls:
| 5.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 2.0ms | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 2.0ms | (sin.f64 (/.f64 x (*.f64 y 2))) |
Compiled 1002 to 736 computations (26.5% saved)
3 calls:
| 39.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 33.0ms | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 21.0ms | (sin.f64 (/.f64 x (*.f64 y 2))) |
Compiled 862 to 709 computations (17.7% saved)
| 1× | egg-herbie |
| 568× | associate-*l/_binary64 |
| 527× | associate-/r*_binary64 |
| 509× | associate-*r/_binary64 |
| 402× | associate-*l*_binary64 |
| 282× | associate-/l/_binary64 |
| 216× | unswap-sqr_binary64 |
| 212× | associate-/r/_binary64 |
| 144× | times-frac_binary64 |
| 132× | associate-/l*_binary64 |
| 127× | div-sub_binary64 |
| 125× | distribute-neg-frac_binary64 |
| 114× | distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
| 90× | neg-mul-1_binary64 |
| 88× | neg-sub0_binary64 |
| 86× | cancel-sign-sub-inv_binary64 |
| 63× | associate-*r*_binary64 |
| 51× | sub-neg_binary64 |
| 45× | sqr-pow_binary64 |
| 42× | *-commutative_binary64 |
| 30× | unpow3_binary64 |
| 24× | cube-unmult_binary64 |
| 20× | pow-plus_binary64 |
| 17× | cube-div_binary64 |
| 15× | cube-mult_binary64 |
| 13× | cube-prod_binary64 |
| 12× | *-lft-identity_binary64 |
| 6× | *-rgt-identity_binary64 distribute-rgt-out_binary64 +-commutative_binary64 |
| 5× | pow-sqr_binary64 |
| 4× | /-rgt-identity_binary64 div0_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64 |
| 3× | log-div_binary64 unpow1/2_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 2× | log-prod_binary64 unpow2_binary64 unpow1_binary64 exp-prod_binary64 rem-sqrt-square_binary64 sub0-neg_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64 associate--l-_binary64 |
| 1× | 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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 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 unsub-neg_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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 difference-of-squares_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate--r-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l+_binary64 associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 1525 |
| 1 | 159 | 1405 |
| 2 | 352 | 1387 |
| 3 | 1232 | 1387 |
| 4 | 4397 | 1387 |
| 5 | 4971 | 1387 |
| 6 | 4989 | 1387 |
| 7 | 4951 | 1387 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 10 | 8 | 18 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 11 | 8 | 19 |
Compiled 345 to 259 computations (24.9% saved)
Found 1 expressions with local error:
| 0.3b | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 1× | rewrite-expression-head |
| 41× | add-sqr-sqrt_binary64 |
| 40× | times-frac_binary64 |
| 29× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 13× | add-exp-log_binary64 add-cbrt-cube_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 8× | pow1_binary64 |
| 4× | div-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 |
| 1× | pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 add-log-exp_binary64 frac-times_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64 |
1 calls:
| 11.0ms | (*.f64 (/.f64 x y) (/.f64 x y)) |
Compiled 1240 to 469 computations (62.2% saved)
1 calls:
| 22.0ms | (*.f64 (/.f64 x y) (/.f64 x y)) |
Compiled 143 to 143 computations (0% saved)
| 1× | egg-herbie |
| 726× | associate-/l*_binary64 |
| 529× | associate-*l/_binary64 |
| 408× | times-frac_binary64 |
| 392× | unswap-sqr_binary64 associate-*r/_binary64 |
| 349× | associate-/l/_binary64 |
| 309× | log-div_binary64 |
| 287× | log-prod_binary64 |
| 200× | associate-/r*_binary64 |
| 153× | associate-/r/_binary64 |
| 144× | *-commutative_binary64 |
| 110× | swap-sqr_binary64 |
| 94× | associate-*l*_binary64 |
| 91× | cube-div_binary64 associate-*r*_binary64 |
| 86× | cube-prod_binary64 |
| 72× | *-rgt-identity_binary64 |
| 60× | exp-prod_binary64 |
| 58× | sqr-pow_binary64 |
| 53× | *-lft-identity_binary64 |
| 29× | /-rgt-identity_binary64 |
| 27× | log-rec_binary64 |
| 25× | sub-neg_binary64 |
| 24× | log-pow_binary64 |
| 17× | pow-sqr_binary64 |
| 16× | pow-plus_binary64 |
| 12× | associate-+r+_binary64 |
| 11× | unpow3_binary64 neg-mul-1_binary64 neg-sub0_binary64 remove-double-div_binary64 |
| 10× | associate-+l+_binary64 |
| 9× | cube-unmult_binary64 |
| 8× | unsub-neg_binary64 |
| 7× | cube-mult_binary64 distribute-neg-in_binary64 |
| 6× | rem-sqrt-square_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 5× | distribute-rgt-in_binary64 distribute-lft-in_binary64 +-commutative_binary64 |
| 3× | unpow1/2_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 count-2_binary64 |
| 2× | unpow2_binary64 unpow1_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 associate--r-_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 --rgt-identity_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 sub0-neg_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1210 |
| 1 | 308 | 1019 |
| 2 | 966 | 853 |
| 3 | 3549 | 779 |
| 4 | 4703 | 779 |
| 5 | 5182 | 779 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 5 | 67 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 63 | 12 | 75 |
Compiled 937 to 534 computations (43% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5) (cbrt.f64 (/.f64 x y))) |
| 0.6b | (pow.f64 (cbrt.f64 (/.f64 x y)) 5) |
| 14.6b | (cbrt.f64 (/.f64 x y)) |
| 14.6b | (cbrt.f64 (/.f64 x y)) |
| 1× | rewrite-expression-head |
| 81× | cbrt-prod_binary64 |
| 79× | add-sqr-sqrt_binary64 |
| 53× | times-frac_binary64 |
| 44× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 41× | unpow-prod-down_binary64 |
| 20× | associate-*l*_binary64 |
| 16× | associate-*r*_binary64 |
| 15× | unswap-sqr_binary64 |
| 10× | add-exp-log_binary64 |
| 6× | pow1_binary64 |
| 5× | add-cbrt-cube_binary64 div-inv_binary64 sqr-pow_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | pow1/3_binary64 cbrt-div_binary64 pow-unpow_binary64 prod-exp_binary64 |
| 2× | pow-pow_binary64 pow-to-exp_binary64 pow-exp_binary64 |
| 1× | pow-prod-up_binary64 pow-plus_binary64 cbrt-unprod_binary64 associate-*r/_binary64 *-commutative_binary64 |
4 calls:
| 16.0ms | (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5) (cbrt.f64 (/.f64 x y))) |
| 5.0ms | (pow.f64 (cbrt.f64 (/.f64 x y)) 5) |
| 2.0ms | (cbrt.f64 (/.f64 x y)) |
| 2.0ms | (cbrt.f64 (/.f64 x y)) |
Compiled 3279 to 1448 computations (55.8% saved)
4 calls:
| 71.0ms | (pow.f64 (cbrt.f64 (/.f64 x y)) 5) |
| 44.0ms | (cbrt.f64 (/.f64 x y)) |
| 44.0ms | (cbrt.f64 (/.f64 x y)) |
| 36.0ms | (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5) (cbrt.f64 (/.f64 x y))) |
Compiled 1271 to 1119 computations (12% saved)
| 1× | egg-herbie |
| 913× | times-frac_binary64 |
| 537× | log-prod_binary64 |
| 322× | *-commutative_binary64 |
| 245× | sqr-pow_binary64 |
| 205× | unswap-sqr_binary64 |
| 137× | associate-*l*_binary64 |
| 130× | exp-prod_binary64 |
| 125× | associate-*r*_binary64 |
| 107× | log-div_binary64 |
| 105× | cube-prod_binary64 |
| 82× | exp-sum_binary64 |
| 77× | distribute-rgt-in_binary64 |
| 65× | sub-neg_binary64 |
| 62× | swap-sqr_binary64 |
| 61× | log-pow_binary64 |
| 56× | exp-diff_binary64 div-sub_binary64 |
| 50× | associate-/l*_binary64 |
| 48× | cube-div_binary64 |
| 45× | associate-*r/_binary64 |
| 42× | associate-*l/_binary64 |
| 36× | unsub-neg_binary64 |
| 33× | pow-sqr_binary64 |
| 32× | associate-/r*_binary64 |
| 26× | *-rgt-identity_binary64 |
| 25× | *-lft-identity_binary64 |
| 24× | neg-sub0_binary64 |
| 23× | pow-plus_binary64 neg-mul-1_binary64 |
| 21× | associate-+r-_binary64 |
| 20× | distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64 |
| 19× | associate-/l/_binary64 |
| 18× | unpow3_binary64 |
| 17× | distribute-lft-neg-out_binary64 |
| 15× | distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 +-commutative_binary64 |
| 14× | cube-mult_binary64 rem-sqrt-square_binary64 |
| 13× | log-rec_binary64 distribute-neg-in_binary64 |
| 12× | exp-neg_binary64 distribute-neg-out_binary64 associate-/r/_binary64 associate-+r+_binary64 |
| 11× | cube-unmult_binary64 cancel-sign-sub-inv_binary64 distribute-lft-neg-in_binary64 associate-+l-_binary64 |
| 9× | unpow1/3_binary64 exp-to-pow_binary64 associate--r-_binary64 |
| 8× | rem-exp-log_binary64 |
| 7× | associate--l-_binary64 |
| 6× | /-rgt-identity_binary64 sub0-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 |
| 5× | +-rgt-identity_binary64 associate-+l+_binary64 |
| 4× | unpow1/2_binary64 --rgt-identity_binary64 |
| 3× | unpow1_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64 |
| 2× | unpow2_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--l+_binary64 associate--r+_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 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 pow-base-0_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-neg_binary64 rem-square-sqrt_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 2971 |
| 1 | 412 | 2895 |
| 2 | 1137 | 2836 |
| 3 | 2230 | 2646 |
| 4 | 4629 | 2646 |
| 5 | 5229 | 2646 |
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 6 | 116 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 113 | 15 | 128 |
Compiled 2148 to 1127 computations (47.5% saved)
Found 4 expressions with local error:
| 14.6b | (cbrt.f64 (/.f64 x y)) |
| 29.0b | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 29.0b | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 29.0b | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 1× | rewrite-expression-head |
| 112× | cbrt-prod_binary64 |
| 48× | unpow-prod-down_binary64 |
| 38× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 36× | times-frac_binary64 |
| 4× | pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64 |
| 3× | sqr-pow_binary64 |
| 1× | cbrt-div_binary64 |
4 calls:
| 5.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 5.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 5.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 2.0ms | (cbrt.f64 (/.f64 x y)) |
Compiled 4385 to 2227 computations (49.2% saved)
4 calls:
| 86.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 85.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 82.0ms | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 5)) |
| 49.0ms | (cbrt.f64 (/.f64 x y)) |
Compiled 2920 to 2114 computations (27.6% saved)
| 1× | egg-herbie |
| 356× | associate-*l*_binary64 |
| 339× | exp-prod_binary64 |
| 324× | associate-*r*_binary64 |
| 295× | exp-diff_binary64 |
| 236× | distribute-rgt-in_binary64 |
| 214× | distribute-lft-in_binary64 |
| 184× | sqr-pow_binary64 |
| 171× | exp-sum_binary64 |
| 120× | associate--r+_binary64 |
| 118× | unswap-sqr_binary64 |
| 110× | sub-neg_binary64 |
| 97× | div-sub_binary64 |
| 94× | unsub-neg_binary64 |
| 87× | log-pow_binary64 |
| 75× | associate--l+_binary64 |
| 73× | cancel-sign-sub-inv_binary64 |
| 69× | exp-to-pow_binary64 |
| 67× | *-commutative_binary64 |
| 60× | associate--r-_binary64 |
| 59× | associate-/l*_binary64 |
| 58× | log-prod_binary64 |
| 46× | neg-sub0_binary64 |
| 43× | neg-mul-1_binary64 |
| 42× | associate-/r*_binary64 |
| 39× | distribute-rgt-neg-out_binary64 associate--l-_binary64 |
| 36× | log-div_binary64 distribute-neg-out_binary64 |
| 32× | distribute-neg-in_binary64 |
| 31× | cube-unmult_binary64 associate-/l/_binary64 |
| 30× | exp-neg_binary64 distribute-lft-neg-out_binary64 associate-+r-_binary64 |
| 29× | pow-plus_binary64 distribute-rgt-out_binary64 |
| 28× | distribute-rgt-neg-in_binary64 |
| 27× | distribute-lft-out_binary64 |
| 21× | +-commutative_binary64 |
| 20× | distribute-lft-neg-in_binary64 |
| 17× | associate-+l-_binary64 |
| 15× | associate-*r/_binary64 |
| 14× | distribute-frac-neg_binary64 |
| 13× | associate-/r/_binary64 |
| 12× | log-rec_binary64 unpow1/3_binary64 pow-sqr_binary64 |
| 11× | associate-+r+_binary64 |
| 10× | times-frac_binary64 sub0-neg_binary64 count-2_binary64 |
| 9× | +-rgt-identity_binary64 distribute-rgt-out--_binary64 |
| 8× | rem-exp-log_binary64 |
| 5× | --rgt-identity_binary64 associate-*l/_binary64 associate-+l+_binary64 |
| 4× | *-rgt-identity_binary64 remove-double-neg_binary64 |
| 3× | rem-sqrt-square_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 distribute-lft-out--_binary64 |
| 2× | prod-exp_binary64 rem-3cbrt-lft_binary64 |
| 1× | div-exp_binary64 rec-exp_binary64 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 pow-base-0_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_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-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_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 difference-of-squares_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2773 |
| 1 | 350 | 2698 |
| 2 | 577 | 2627 |
| 3 | 1471 | 2519 |
| 4 | 4440 | 2460 |
| 5 | 4955 | 2460 |
| 6 | 4857 | 2460 |
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 59 | 0 | 59 |
| Fresh | 0 | 14 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 59 | 15 | 74 |
Compiled 1599 to 869 computations (45.7% saved)
Total 3.4b remaining (12.3%)
Threshold costs 0b (0%)
Compiled 15336 to 12074 computations (21.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 4 | 16.83805754344334 | 27.723373623287277 | 27.383207495792153 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 1× | 1-exp_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 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 | 17 | 51 |
| 1 | 20 | 51 |
| 2 | 19 | 51 |
Compiled 33 to 27 computations (18.2% saved)
| 1× | intervals |
| 521.0ms | 1105× | body | 2048 | valid |
| 407.0ms | 1309× | body | 1024 | valid |
| 345.0ms | 4323× | body | 128 | valid |
| 203.0ms | 816× | body | 512 | valid |
| 78.0ms | 443× | body | 256 | valid |
| 5.0ms | 4× | body | 4096 | valid |
Compiled 379 to 313 computations (17.4% saved)
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