Time bar (total: 4.0s)
| 1× | search |
| 2× | egg-herbie |
| 801× | cube-prod_binary64 |
| 678× | unswap-sqr_binary64 |
| 585× | unpow3_binary64 |
| 360× | sqr-pow_binary64 |
| 358× | distribute-rgt-in_binary64 |
| 340× | associate-/l*_binary64 |
| 280× | distribute-lft-in_binary64 |
| 264× | div-sub_binary64 |
| 185× | *-commutative_binary64 |
| 179× | associate-/r*_binary64 |
| 168× | pow-sqr_binary64 associate-*l*_binary64 |
| 167× | associate-*r*_binary64 |
| 150× | cube-mult_binary64 |
| 144× | cube-div_binary64 |
| 77× | associate-/l/_binary64 |
| 73× | associate-*l/_binary64 |
| 66× | sub-neg_binary64 |
| 60× | mul0-rgt_binary64 |
| 59× | associate-*r/_binary64 |
| 56× | mul0-lft_binary64 |
| 54× | swap-sqr_binary64 |
| 49× | associate-/r/_binary64 |
| 36× | times-frac_binary64 |
| 28× | +-commutative_binary64 |
| 25× | *-rgt-identity_binary64 |
| 21× | *-lft-identity_binary64 div0_binary64 |
| 15× | /-rgt-identity_binary64 |
| 12× | cube-unmult_binary64 |
| 9× | *-inverses_binary64 |
| 7× | --rgt-identity_binary64 remove-double-div_binary64 |
| 4× | cancel-sign-sub-inv_binary64 associate--l-_binary64 |
| 3× | neg-mul-1_binary64 neg-sub0_binary64 sub0-neg_binary64 +-rgt-identity_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 associate--r+_binary64 associate-+l-_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 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-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 unsub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 +-lft-identity_binary64 +-inverses_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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 count-2_binary64 associate--r-_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 88 |
| 1 | 85 | 76 |
| 2 | 144 | 48 |
| 3 | 219 | 36 |
| 4 | 245 | 36 |
| 5 | 679 | 36 |
| 6 | 1324 | 36 |
| 7 | 1536 | 36 |
| 8 | 1404 | 36 |
| 9 | 1511 | 36 |
| 10 | 1713 | 36 |
| 11 | 2126 | 36 |
| 12 | 3291 | 36 |
| 13 | 4990 | 36 |
| 14 | 5232 | 36 |
| 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 |
| 23.4% | 51.5% | 25.1% | 7 |
| 24.2% | 50.7% | 25.1% | 8 |
| 24.6% | 50.3% | 25.1% | 9 |
| 36.9% | 25.5% | 37.6% | 10 |
| 37.2% | 25.3% | 37.6% | 11 |
| 37.3% | 25.1% | 37.6% | 12 |
| 43.5% | 12.7% | 43.8% | 13 |
| 43.6% | 12.6% | 43.8% | 14 |
Compiled 29 to 21 computations (27.6% saved)
| 1× | intervals |
| 28.0ms | 256× | body | 128 | valid |
| 2.0ms | 20× | body | 128 | nan |
Compiled 57 to 44 computations (22.8% saved)
| 1× | egg-herbie |
| 662× | cube-prod_binary64 |
| 617× | distribute-rgt-in_binary64 |
| 522× | pow-sqr_binary64 |
| 486× | distribute-lft-in_binary64 |
| 453× | associate-/l*_binary64 |
| 447× | sqr-pow_binary64 |
| 380× | div-sub_binary64 |
| 331× | cube-div_binary64 |
| 275× | unpow3_binary64 |
| 272× | cube-mult_binary64 |
| 266× | associate-*l*_binary64 |
| 242× | times-frac_binary64 |
| 181× | swap-sqr_binary64 |
| 129× | *-commutative_binary64 |
| 108× | associate-/l/_binary64 |
| 79× | unswap-sqr_binary64 |
| 77× | associate-*l/_binary64 |
| 64× | associate-/r/_binary64 |
| 50× | associate-*r/_binary64 |
| 48× | sub-neg_binary64 |
| 44× | associate-/r*_binary64 |
| 41× | mul0-lft_binary64 |
| 32× | mul0-rgt_binary64 |
| 24× | associate-*r*_binary64 |
| 20× | +-commutative_binary64 |
| 18× | pow-plus_binary64 div0_binary64 |
| 11× | remove-double-div_binary64 |
| 8× | /-rgt-identity_binary64 |
| 6× | unpow2_binary64 |
| 5× | *-rgt-identity_binary64 |
| 4× | cube-unmult_binary64 |
| 3× | unpow1_binary64 rem-sqrt-square_binary64 *-lft-identity_binary64 *-inverses_binary64 |
| 2× | --rgt-identity_binary64 lft-mult-inverse_binary64 |
| 1× | unpow1/2_binary64 1-exp_binary64 neg-mul-1_binary64 neg-sub0_binary64 sub0-neg_binary64 +-rgt-identity_binary64 rgt-mult-inverse_binary64 cancel-sign-sub-inv_binary64 associate--l-_binary64 associate--r+_binary64 associate-+l-_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_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 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-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 remove-double-neg_binary64 +-lft-identity_binary64 +-inverses_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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 count-2_binary64 associate--r-_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 22 |
| 1 | 31 | 19 |
| 2 | 49 | 12 |
| 3 | 70 | 9 |
| 4 | 78 | 9 |
| 5 | 197 | 9 |
| 6 | 452 | 9 |
| 7 | 867 | 9 |
| 8 | 1025 | 9 |
| 9 | 1607 | 9 |
| 10 | 1898 | 9 |
| 11 | 2922 | 9 |
| 12 | 3978 | 9 |
| 13 | 4245 | 9 |
| 14 | 4332 | 9 |
| 15 | 4968 | 9 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
Compiled 40 to 32 computations (20% saved)
Found 1 expressions with local error:
| 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 1× | rewrite-expression-head |
| 12× | times-frac_binary64 |
| 10× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 5× | pow1_binary64 |
| 4× | log-pow_binary64 associate-/r*_binary64 |
| 3× | add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64 |
| 1× | div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 |
1 calls:
| 3.0ms | (/.f64 (atan2.f64 im re) (log.f64 base)) |
Compiled 367 to 88 computations (76% saved)
1 calls:
| 44.0ms | (/.f64 (atan2.f64 im re) (log.f64 base)) |
Compiled 153 to 145 computations (5.2% saved)
| 1× | egg-herbie |
| 556× | distribute-neg-in_binary64 |
| 438× | div-sub_binary64 |
| 404× | distribute-rgt-in_binary64 |
| 382× | neg-mul-1_binary64 |
| 379× | sub-neg_binary64 |
| 356× | distribute-lft-in_binary64 |
| 354× | neg-sub0_binary64 |
| 280× | distribute-frac-neg_binary64 |
| 222× | distribute-neg-frac_binary64 |
| 217× | distribute-rgt-neg-out_binary64 |
| 188× | associate-/l/_binary64 |
| 174× | cancel-sign-sub-inv_binary64 |
| 167× | remove-double-neg_binary64 |
| 156× | times-frac_binary64 |
| 147× | associate-/l*_binary64 |
| 121× | sqr-pow_binary64 |
| 116× | distribute-lft-neg-out_binary64 |
| 106× | log-div_binary64 |
| 97× | cube-div_binary64 associate-/r*_binary64 |
| 92× | log-prod_binary64 |
| 91× | cube-prod_binary64 |
| 86× | associate-/r/_binary64 |
| 83× | unsub-neg_binary64 |
| 79× | +-lft-identity_binary64 |
| 67× | associate-*l/_binary64 |
| 64× | distribute-neg-out_binary64 |
| 61× | div0_binary64 |
| 55× | associate-*l*_binary64 |
| 54× | associate-*r/_binary64 |
| 51× | exp-prod_binary64 |
| 49× | *-lft-identity_binary64 |
| 45× | mul0-rgt_binary64 |
| 44× | *-rgt-identity_binary64 mul0-lft_binary64 |
| 39× | associate-*r*_binary64 |
| 36× | unswap-sqr_binary64 |
| 31× | /-rgt-identity_binary64 |
| 29× | exp-sum_binary64 |
| 26× | *-commutative_binary64 |
| 24× | swap-sqr_binary64 |
| 23× | cube-neg_binary64 |
| 21× | unpow3_binary64 |
| 20× | +-rgt-identity_binary64 |
| 19× | cube-mult_binary64 |
| 18× | associate--r+_binary64 associate-+r+_binary64 |
| 17× | pow-sqr_binary64 distribute-rgt-neg-in_binary64 associate-+r-_binary64 |
| 16× | distribute-lft-neg-in_binary64 |
| 15× | +-commutative_binary64 |
| 14× | exp-diff_binary64 sqr-neg_binary64 mul-1-neg_binary64 |
| 13× | log-rec_binary64 |
| 12× | associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+l+_binary64 |
| 10× | rem-sqrt-square_binary64 |
| 8× | associate--l+_binary64 |
| 5× | cube-unmult_binary64 |
| 4× | exp-neg_binary64 distribute-rgt-out_binary64 |
| 3× | sub0-neg_binary64 distribute-rgt-out--_binary64 |
| 2× | --rgt-identity_binary64 remove-double-div_binary64 |
| 1× | unpow1/2_binary64 unpow-1_binary64 1-exp_binary64 exp-1-e_binary64 +-inverses_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_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 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_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-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 *-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_binary64 distribute-lft-out--_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 610 |
| 1 | 107 | 572 |
| 2 | 213 | 572 |
| 3 | 400 | 572 |
| 4 | 1451 | 572 |
| 5 | 3750 | 572 |
| 6 | 4020 | 572 |
| 7 | 4804 | 572 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 10 | 3 | 13 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 10 | 5 | 15 |
Compiled 126 to 66 computations (47.6% saved)
Found 4 expressions with local error:
| 0.9b | (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 1× | rewrite-expression-head |
| 25× | cbrt-prod_binary64 |
| 23× | add-sqr-sqrt_binary64 |
| 15× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 11× | pow1_binary64 |
| 9× | pow1/3_binary64 |
| 6× | add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 |
| 2× | pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 |
| 1× | pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 |
4 calls:
| 6.0ms | (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
Compiled 1601 to 235 computations (85.3% saved)
4 calls:
| 38.0ms | (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) |
| 32.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 31.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 30.0ms | (cbrt.f64 (atan2.f64 im re)) |
Compiled 897 to 565 computations (37% saved)
| 1× | egg-herbie |
| 584× | log-prod_binary64 |
| 394× | sqr-pow_binary64 |
| 327× | *-commutative_binary64 |
| 311× | distribute-lft-out_binary64 |
| 278× | associate-*l*_binary64 |
| 266× | associate-/r/_binary64 |
| 258× | associate-/l/_binary64 |
| 188× | exp-prod_binary64 |
| 172× | associate-*r*_binary64 |
| 157× | log-pow_binary64 |
| 151× | distribute-rgt-out_binary64 |
| 145× | cube-prod_binary64 |
| 126× | pow-sqr_binary64 |
| 119× | log-div_binary64 |
| 112× | unswap-sqr_binary64 |
| 111× | swap-sqr_binary64 |
| 104× | associate-/l*_binary64 |
| 75× | associate-+l+_binary64 |
| 69× | associate-+r+_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 57× | distribute-lft-in_binary64 |
| 54× | times-frac_binary64 |
| 42× | rem-sqrt-square_binary64 |
| 40× | pow-plus_binary64 +-commutative_binary64 |
| 36× | count-2_binary64 |
| 35× | associate-*r/_binary64 |
| 31× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 30× | unpow3_binary64 |
| 25× | cube-mult_binary64 |
| 24× | associate-/r*_binary64 |
| 22× | distribute-rgt1-in_binary64 |
| 12× | cube-div_binary64 |
| 11× | cube-unmult_binary64 |
| 10× | distribute-lft1-in_binary64 |
| 9× | unpow1/2_binary64 |
| 8× | associate-*l/_binary64 |
| 7× | unpow2_binary64 |
| 4× | unpow1_binary64 |
| 2× | unpow1/3_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 |
| 1× | log-rec_binary64 exp-lft-sqr_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_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 pow-base-0_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-abs_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: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 1160 |
| 1 | 82 | 1069 |
| 2 | 259 | 1037 |
| 3 | 870 | 1017 |
| 4 | 1628 | 891 |
| 5 | 2483 | 891 |
| 6 | 4799 | 891 |
| 7 | 4826 | 891 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 4 | 64 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 61 | 8 | 69 |
Compiled 597 to 205 computations (65.7% saved)
Found 4 expressions with local error:
| 1.0b | (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 5) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 1× | rewrite-expression-head |
| 18× | cbrt-prod_binary64 |
| 11× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 9× | unpow-prod-down_binary64 |
| 5× | pow1_binary64 add-exp-log_binary64 |
| 4× | pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 |
| 3× | pow-unpow_binary64 |
| 2× | pow-pow_binary64 |
| 1× | pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64 |
4 calls:
| 4.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 5) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
Compiled 1539 to 396 computations (74.3% saved)
4 calls:
| 50.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 5) |
| 34.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 34.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 33.0ms | (cbrt.f64 (atan2.f64 im re)) |
Compiled 1131 to 731 computations (35.4% saved)
| 1× | egg-herbie |
| 862× | unswap-sqr_binary64 |
| 358× | associate-*l*_binary64 |
| 276× | distribute-rgt-in_binary64 |
| 272× | distribute-lft-in_binary64 |
| 228× | associate-*r*_binary64 |
| 183× | log-prod_binary64 |
| 166× | sqr-pow_binary64 |
| 137× | associate-+l+_binary64 associate-+r+_binary64 |
| 78× | associate-/l*_binary64 |
| 75× | exp-prod_binary64 |
| 63× | cube-prod_binary64 |
| 40× | cube-unmult_binary64 associate-/l/_binary64 |
| 35× | pow-sqr_binary64 distribute-rgt-out_binary64 |
| 34× | *-commutative_binary64 |
| 31× | pow-plus_binary64 |
| 26× | count-2_binary64 |
| 25× | associate-*r/_binary64 |
| 22× | log-pow_binary64 |
| 21× | associate-/r*_binary64 |
| 20× | distribute-lft-out_binary64 |
| 16× | associate-/r/_binary64 |
| 6× | rem-sqrt-square_binary64 swap-sqr_binary64 |
| 5× | unpow3_binary64 *-lft-identity_binary64 associate-*l/_binary64 |
| 4× | times-frac_binary64 *-rgt-identity_binary64 distribute-rgt1-in_binary64 |
| 2× | cube-mult_binary64 /-rgt-identity_binary64 |
| 1× | unpow1/3_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-3cbrt-lft_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 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 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 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-lft1-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 +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 941 |
| 1 | 115 | 875 |
| 2 | 222 | 875 |
| 3 | 503 | 875 |
| 4 | 1398 | 875 |
| 5 | 4985 | 875 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 1 | 38 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 38 | 8 | 46 |
Compiled 533 to 204 computations (61.7% saved)
Found 4 expressions with local error:
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 4.1b | (cbrt.f64 (atan2.f64 im re)) |
| 1× | rewrite-expression-head |
| 12× | cbrt-prod_binary64 |
| 8× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 4× | pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
4 calls:
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 1.0ms | (cbrt.f64 (atan2.f64 im re)) |
Compiled 1436 to 288 computations (79.9% saved)
4 calls:
| 36.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 34.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 34.0ms | (cbrt.f64 (atan2.f64 im re)) |
| 32.0ms | (cbrt.f64 (atan2.f64 im re)) |
Compiled 1456 to 795 computations (45.4% saved)
| 1× | egg-herbie |
| 813× | associate-/r/_binary64 |
| 551× | log-prod_binary64 |
| 409× | associate-*l*_binary64 |
| 350× | distribute-rgt-out_binary64 |
| 267× | sqr-pow_binary64 |
| 254× | associate-*r*_binary64 |
| 241× | times-frac_binary64 |
| 222× | distribute-lft-out_binary64 |
| 217× | *-commutative_binary64 |
| 205× | distribute-rgt-in_binary64 |
| 201× | distribute-lft-in_binary64 |
| 166× | unswap-sqr_binary64 |
| 162× | associate-/l*_binary64 |
| 122× | associate-/l/_binary64 |
| 118× | distribute-rgt1-in_binary64 |
| 107× | pow-sqr_binary64 |
| 106× | +-commutative_binary64 |
| 91× | associate-+l+_binary64 |
| 89× | associate-+r+_binary64 |
| 80× | exp-prod_binary64 |
| 69× | log-pow_binary64 |
| 61× | cube-prod_binary64 |
| 56× | count-2_binary64 |
| 52× | associate-/r*_binary64 |
| 49× | associate-*r/_binary64 |
| 42× | distribute-lft1-in_binary64 |
| 28× | pow-plus_binary64 |
| 27× | associate-*l/_binary64 |
| 19× | unpow3_binary64 |
| 15× | cube-mult_binary64 *-lft-identity_binary64 |
| 11× | *-rgt-identity_binary64 |
| 8× | cube-unmult_binary64 |
| 6× | rem-sqrt-square_binary64 |
| 5× | unpow2_binary64 |
| 4× | /-rgt-identity_binary64 |
| 3× | unpow1_binary64 |
| 1× | unpow1/3_binary64 unpow1/2_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 swap-sqr_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 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 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 588 |
| 1 | 27 | 560 |
| 2 | 54 | 560 |
| 3 | 110 | 560 |
| 4 | 336 | 560 |
| 5 | 1522 | 560 |
| 6 | 2771 | 560 |
| 7 | 3674 | 560 |
| 8 | 5131 | 560 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 0 | 32 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 32 | 8 | 40 |
Compiled 167 to 51 computations (69.5% saved)
Total 0.2b remaining (57.6%)
Threshold costs 0.2b (57.6%)
Compiled 11218 to 6453 computations (42.5% saved)
| 1× | egg-herbie |
| 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 *-commutative_binary64 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 7 | 9 |
Compiled 6 to 6 computations (0% saved)
| 1× | intervals |
| 805.0ms | 8000× | body | 128 | valid |
| 86.0ms | 966× | body | 128 | nan |
Compiled 195 to 137 computations (29.7% saved)
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