Time bar (total: 3.2s)
| 1× | search |
| 2× | egg-herbie |
| 78× | distribute-rgt-in_binary64 associate-*l*_binary64 |
| 62× | distribute-lft-in_binary64 |
| 58× | unsub-neg_binary64 |
| 55× | sub-neg_binary64 |
| 50× | distribute-lft-neg-in_binary64 |
| 43× | distribute-rgt-neg-in_binary64 |
| 39× | associate-*r*_binary64 |
| 35× | *-commutative_binary64 |
| 30× | mul0-rgt_binary64 mul0-lft_binary64 |
| 21× | cancel-sign-sub-inv_binary64 |
| 20× | +-commutative_binary64 |
| 19× | neg-mul-1_binary64 neg-sub0_binary64 |
| 18× | sub0-neg_binary64 --rgt-identity_binary64 associate--r+_binary64 associate-+l-_binary64 |
| 7× | distribute-rgt-neg-out_binary64 |
| 4× | unswap-sqr_binary64 |
| 2× | distribute-lft-neg-out_binary64 |
| 1× | swap-a-b |
| 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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-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 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 | 19 | 48 |
| 1 | 64 | 48 |
| 2 | 168 | 48 |
| 3 | 253 | 48 |
| 4 | 353 | 48 |
| 5 | 336 | 48 |
| 6 | 353 | 48 |
| 7 | 459 | 48 |
| 8 | 414 | 48 |
| 9 | 348 | 48 |
| 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 |
| 25% | 74.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 25% | 62.4% | 12.6% | 8 |
| 37.4% | 43.7% | 18.9% | 9 |
| 37.4% | 43.7% | 18.9% | 10 |
| 49.9% | 31.2% | 18.9% | 11 |
| 56.2% | 20.3% | 23.5% | 12 |
| 56.2% | 20.3% | 23.5% | 13 |
| 61.6% | 14.8% | 23.5% | 14 |
(sort a b)
Compiled 9 to 8 computations (11.1% saved)
| 1× | intervals |
| 7.0ms | 256× | body | 128 | valid |
| 0.0ms | 16× | body | 128 | invalid |
Compiled 17 to 18 computations (-5.9% saved)
| 1× | egg-herbie |
| 35× | associate-*l*_binary64 |
| 24× | sub-neg_binary64 distribute-rgt-in_binary64 |
| 18× | unsub-neg_binary64 distribute-lft-in_binary64 |
| 17× | distribute-lft-neg-in_binary64 |
| 16× | associate-*r*_binary64 |
| 15× | distribute-rgt-neg-in_binary64 |
| 14× | mul0-rgt_binary64 mul0-lft_binary64 |
| 12× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 8× | neg-mul-1_binary64 neg-sub0_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate--r+_binary64 associate-+l-_binary64 |
| 7× | cancel-sign-sub-inv_binary64 |
| 2× | distribute-rgt-neg-out_binary64 |
| 1× | unswap-sqr_binary64 distribute-lft-neg-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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-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 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 | 7 | 12 |
| 1 | 21 | 12 |
| 2 | 55 | 12 |
| 3 | 97 | 12 |
| 4 | 129 | 12 |
| 5 | 138 | 12 |
| 6 | 147 | 12 |
| 7 | 173 | 12 |
| 8 | 182 | 12 |
| 9 | 176 | 12 |
| 10 | 142 | 12 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 16 to 14 computations (12.5% saved)
Found 2 expressions with local error:
| 4.7b | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 9.5b | (*.f64 (*.f64 a a) b) |
| 1× | rewrite-expression-head |
| 16× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 9× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 |
| 6× | associate-*r*_binary64 |
| 5× | add-sqr-sqrt_binary64 |
| 4× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 2× | add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64 |
| 1× | unswap-sqr_binary64 |
2 calls:
| 7.0ms | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 5.0ms | (*.f64 (*.f64 a a) b) |
Compiled 504 to 144 computations (71.4% saved)
2 calls:
| 17.0ms | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 14.0ms | (*.f64 (*.f64 a a) b) |
Compiled 208 to 218 computations (-4.8% saved)
| 1× | egg-herbie |
| 379× | associate-*l/_binary64 |
| 359× | unswap-sqr_binary64 |
| 358× | associate-/l/_binary64 |
| 342× | associate-+l+_binary64 |
| 320× | associate-/l*_binary64 |
| 272× | sqr-pow_binary64 |
| 266× | associate-/r/_binary64 |
| 226× | associate-+r+_binary64 |
| 218× | *-commutative_binary64 |
| 162× | associate-*l*_binary64 |
| 147× | associate-/r*_binary64 |
| 122× | pow-sqr_binary64 |
| 96× | associate-*r*_binary64 |
| 94× | exp-prod_binary64 |
| 89× | log-prod_binary64 distribute-lft-out_binary64 |
| 76× | distribute-rgt-in_binary64 |
| 73× | cube-prod_binary64 |
| 57× | distribute-lft-in_binary64 |
| 54× | times-frac_binary64 |
| 46× | rem-sqrt-square_binary64 |
| 38× | distribute-rgt-out_binary64 |
| 33× | swap-sqr_binary64 associate-*r/_binary64 |
| 28× | *-rgt-identity_binary64 |
| 26× | unpow3_binary64 |
| 22× | *-lft-identity_binary64 |
| 19× | cube-mult_binary64 +-commutative_binary64 |
| 15× | distribute-rgt1-in_binary64 |
| 13× | count-2_binary64 |
| 11× | pow-plus_binary64 |
| 10× | unpow1/2_binary64 cube-unmult_binary64 |
| 9× | log-pow_binary64 distribute-lft1-in_binary64 |
| 7× | log-div_binary64 cube-div_binary64 |
| 2× | unpow2_binary64 unpow1_binary64 exp-sqrt_binary64 |
| 1× | exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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-cbrt_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 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 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-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 645 |
| 1 | 138 | 516 |
| 2 | 474 | 480 |
| 3 | 775 | 464 |
| 4 | 1511 | 461 |
| 5 | 2739 | 461 |
| 6 | 5066 | 461 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 29 | 8 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 29 | 9 | 38 |
Compiled 266 to 137 computations (48.5% saved)
Found 1 expressions with local error:
| 0.4b | (*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b))) |
| 1× | rewrite-expression-head |
| 8× | pow1_binary64 |
| 7× | add-sqr-sqrt_binary64 |
| 5× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 3× | add-exp-log_binary64 add-cbrt-cube_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 1× | pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 sqr-abs_binary64 pow-sqr_binary64 unswap-sqr_binary64 *-commutative_binary64 |
1 calls:
| 3.0ms | (*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b))) |
Compiled 387 to 83 computations (78.6% saved)
1 calls:
| 15.0ms | (*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b))) |
Compiled 91 to 104 computations (-14.3% saved)
| 1× | egg-herbie |
| 478× | distribute-rgt-in_binary64 |
| 455× | distribute-lft-in_binary64 |
| 360× | associate-/l*_binary64 |
| 318× | *-commutative_binary64 |
| 306× | sqr-pow_binary64 |
| 253× | associate-*l*_binary64 |
| 249× | log-div_binary64 |
| 233× | associate-/l/_binary64 |
| 221× | associate-/r/_binary64 |
| 198× | unswap-sqr_binary64 |
| 173× | swap-sqr_binary64 |
| 171× | associate-*r*_binary64 |
| 160× | log-prod_binary64 |
| 153× | exp-prod_binary64 |
| 130× | cube-prod_binary64 |
| 108× | pow-sqr_binary64 |
| 54× | associate-+l+_binary64 |
| 51× | associate-+r+_binary64 |
| 43× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 40× | +-commutative_binary64 |
| 38× | times-frac_binary64 |
| 33× | rem-sqrt-square_binary64 |
| 31× | associate-*r/_binary64 |
| 29× | log-pow_binary64 |
| 28× | unpow3_binary64 pow-plus_binary64 |
| 27× | distribute-rgt-out_binary64 |
| 25× | distribute-lft-out_binary64 |
| 24× | count-2_binary64 |
| 22× | cube-mult_binary64 |
| 18× | associate-/r*_binary64 |
| 17× | log-rec_binary64 |
| 9× | cube-unmult_binary64 cube-div_binary64 associate-*l/_binary64 |
| 7× | unpow1/2_binary64 |
| 5× | unpow2_binary64 |
| 3× | unpow1_binary64 |
| 1× | exp-lft-sqr_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 distribute-rgt1-in_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 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-cube-cbrt_binary64 sqr-neg_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 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-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 388 |
| 1 | 60 | 326 |
| 2 | 180 | 311 |
| 3 | 743 | 293 |
| 4 | 1417 | 254 |
| 5 | 2234 | 230 |
| 6 | 4828 | 230 |
| 7 | 4981 | 230 |
| 8 | 5054 | 230 |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 25 | 2 | 27 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 25 | 11 | 36 |
Compiled 261 to 151 computations (42.1% saved)
Found 3 expressions with local error:
| 0.2b | (*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
| 0.3b | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
| 10.9b | (sqrt.f64 (fabs.f64 (*.f64 a b))) |
| 1× | rewrite-expression-head |
| 21× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 9× | add-exp-log_binary64 sqrt-prod_binary64 |
| 8× | unpow-prod-down_binary64 |
| 7× | associate-*r*_binary64 |
| 6× | pow1_binary64 unswap-sqr_binary64 associate-*l*_binary64 |
| 5× | add-cbrt-cube_binary64 |
| 4× | sqr-pow_binary64 |
| 3× | add-log-exp_binary64 pow-unpow_binary64 prod-exp_binary64 |
| 2× | pow1/2_binary64 sqrt-pow1_binary64 pow-to-exp_binary64 pow-exp_binary64 pow-prod-up_binary64 |
| 1× | rem-sqrt-square_binary64 pow-pow_binary64 cbrt-unprod_binary64 *-commutative_binary64 |
3 calls:
| 6.0ms | (*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
| 2.0ms | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
| 1.0ms | (sqrt.f64 (fabs.f64 (*.f64 a b))) |
Compiled 1152 to 425 computations (63.1% saved)
3 calls:
| 32.0ms | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
| 15.0ms | (sqrt.f64 (fabs.f64 (*.f64 a b))) |
| 13.0ms | (*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
Compiled 442 to 366 computations (17.2% saved)
| 1× | egg-herbie |
| 616× | associate-/l/_binary64 |
| 441× | sqr-pow_binary64 |
| 433× | *-commutative_binary64 |
| 354× | associate-*l*_binary64 |
| 323× | distribute-rgt-in_binary64 |
| 316× | distribute-lft-in_binary64 |
| 237× | associate-*r*_binary64 |
| 179× | associate-/l*_binary64 |
| 176× | log-prod_binary64 |
| 174× | exp-prod_binary64 |
| 160× | cube-prod_binary64 |
| 155× | pow-sqr_binary64 |
| 144× | times-frac_binary64 |
| 115× | swap-sqr_binary64 |
| 72× | distribute-lft-out_binary64 |
| 70× | distribute-rgt-out_binary64 |
| 63× | associate-/r/_binary64 |
| 62× | associate-/r*_binary64 |
| 60× | unswap-sqr_binary64 |
| 55× | associate-*r/_binary64 |
| 52× | pow-plus_binary64 |
| 47× | count-2_binary64 |
| 44× | rem-sqrt-square_binary64 |
| 42× | *-lft-identity_binary64 |
| 40× | unpow3_binary64 |
| 39× | *-rgt-identity_binary64 |
| 37× | cube-mult_binary64 |
| 33× | log-pow_binary64 |
| 28× | associate-+l+_binary64 |
| 24× | associate-+r+_binary64 |
| 20× | associate-*l/_binary64 |
| 16× | cube-unmult_binary64 |
| 12× | +-commutative_binary64 |
| 8× | /-rgt-identity_binary64 |
| 6× | unpow2_binary64 unpow1/2_binary64 pow-base-1_binary64 |
| 5× | distribute-rgt1-in_binary64 |
| 3× | distribute-lft1-in_binary64 |
| 2× | unpow1_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_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 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-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_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 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-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 1283 |
| 1 | 138 | 1218 |
| 2 | 365 | 1112 |
| 3 | 1031 | 1106 |
| 4 | 1694 | 1091 |
| 5 | 3394 | 1085 |
| 6 | 5008 | 1085 |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 6 | 37 |
| Fresh | 5 | 3 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 37 | 11 | 48 |
Compiled 552 to 259 computations (53.1% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
| 0.3b | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
| 0.3b | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
| 18.2b | (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
| 1× | rewrite-expression-head |
| 32× | add-sqr-sqrt_binary64 |
| 23× | cbrt-prod_binary64 |
| 22× | unpow-prod-down_binary64 |
| 15× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 12× | sqr-pow_binary64 unswap-sqr_binary64 |
| 11× | add-exp-log_binary64 |
| 10× | associate-*l*_binary64 |
| 7× | associate-*r*_binary64 |
| 6× | pow1_binary64 pow-unpow_binary64 |
| 5× | add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | pow-to-exp_binary64 pow-exp_binary64 prod-exp_binary64 |
| 2× | pow1/3_binary64 pow-pow_binary64 |
| 1× | pow-plus_binary64 cbrt-unprod_binary64 *-commutative_binary64 |
4 calls:
| 8.0ms | (*.f64 (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
| 2.0ms | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
| 2.0ms | (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
| 2.0ms | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
Compiled 2129 to 1083 computations (49.1% saved)
4 calls:
| 34.0ms | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
| 32.0ms | (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) |
| 15.0ms | (*.f64 (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
| 13.0ms | (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) |
Compiled 676 to 557 computations (17.6% saved)
| 1× | egg-herbie |
| 471× | associate-*l*_binary64 |
| 449× | sqr-pow_binary64 |
| 380× | associate-*r*_binary64 |
| 277× | distribute-rgt-in_binary64 |
| 256× | distribute-lft-in_binary64 |
| 205× | log-prod_binary64 |
| 192× | associate-/l*_binary64 |
| 188× | exp-prod_binary64 |
| 184× | cube-prod_binary64 |
| 155× | pow-sqr_binary64 |
| 144× | swap-sqr_binary64 |
| 141× | times-frac_binary64 |
| 136× | associate-/l/_binary64 |
| 117× | *-commutative_binary64 |
| 95× | associate-/r/_binary64 |
| 90× | associate-/r*_binary64 |
| 80× | associate-*r/_binary64 |
| 75× | +-commutative_binary64 |
| 67× | *-lft-identity_binary64 unswap-sqr_binary64 |
| 63× | *-rgt-identity_binary64 |
| 62× | unpow3_binary64 |
| 56× | pow-plus_binary64 |
| 55× | associate-+l+_binary64 |
| 54× | rem-sqrt-square_binary64 |
| 50× | cube-mult_binary64 |
| 48× | associate-+r+_binary64 |
| 34× | log-pow_binary64 |
| 24× | distribute-rgt-out_binary64 |
| 23× | distribute-lft-out_binary64 count-2_binary64 |
| 19× | cube-unmult_binary64 |
| 16× | log-div_binary64 cube-div_binary64 |
| 8× | unpow1/2_binary64 |
| 7× | /-rgt-identity_binary64 |
| 6× | unpow2_binary64 pow-base-1_binary64 associate-*l/_binary64 |
| 3× | unpow1_binary64 |
| 2× | distribute-rgt1-in_binary64 distribute-lft1-in_binary64 |
| 1× | exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 unpow0_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-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-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_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 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-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 2182 |
| 1 | 159 | 2018 |
| 2 | 465 | 2002 |
| 3 | 1597 | 1869 |
| 4 | 2081 | 1865 |
| 5 | 3832 | 1861 |
| 6 | 4915 | 1861 |
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 4 | 65 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 64 | 12 | 76 |
Compiled 1090 to 470 computations (56.9% saved)
Total 0.3b remaining (84.1%)
Threshold costs 0.3b (84.1%)
Compiled 11288 to 7853 computations (30.4% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 5× | neg-mul-1_binary64 neg-sub0_binary64 sub-neg_binary64 +-commutative_binary64 |
| 4× | distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
| 1× | sqr-abs_binary64 cancel-sign-sub-inv_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-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 16 | 12 |
| 2 | 23 | 12 |
| 3 | 34 | 12 |
| 4 | 41 | 12 |
| 5 | 46 | 12 |
| 6 | 48 | 12 |
| 7 | 48 | 12 |
(sort a b)
Compiled 24 to 18 computations (25% saved)
| 1× | intervals |
| 222.0ms | 8000× | body | 128 | valid |
| 12.0ms | 492× | body | 128 | invalid |
Compiled 211 to 166 computations (21.3% saved)
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