Time bar (total: 9.1s)
| 1× | search |
| 2× | egg-herbie |
| 582× | associate-/l*_binary64 |
| 500× | unswap-sqr_binary64 |
| 354× | associate-/r/_binary64 |
| 324× | associate-*l/_binary64 |
| 294× | associate-*r/_binary64 |
| 262× | associate-*l*_binary64 associate-*r*_binary64 |
| 155× | distribute-rgt-in_binary64 distribute-lft-in_binary64 |
| 138× | *-commutative_binary64 |
| 126× | associate-/l/_binary64 |
| 60× | distribute-rgt-out_binary64 distribute-lft-out_binary64 |
| 50× | swap-sqr_binary64 |
| 45× | +-commutative_binary64 |
| 40× | sqr-pow_binary64 |
| 19× | associate-+l+_binary64 associate-+r+_binary64 |
| 10× | unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 unpow1_binary64 cube-unmult_binary64 rem-sqrt-square_binary64 |
| 1× | 1-exp_binary64 swap-kx-ky |
| 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 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-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-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 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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_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 | 88 | 294 |
| 1 | 222 | 273 |
| 2 | 515 | 273 |
| 3 | 2273 | 273 |
| 4 | 4998 | 273 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 49.9% | 49.9% | 0.2% | 3 |
| 49.9% | 49.9% | 0.2% | 4 |
| 49.9% | 49.9% | 0.2% | 5 |
| 49.9% | 49.9% | 0.2% | 6 |
| 74.9% | 25% | 0.2% | 7 |
| 74.9% | 25% | 0.2% | 8 |
| 74.9% | 25% | 0.2% | 9 |
| 74.9% | 25% | 0.2% | 10 |
| 87.3% | 12.5% | 0.2% | 11 |
| 87.3% | 12.5% | 0.2% | 12 |
| 87.3% | 12.5% | 0.2% | 13 |
| 87.3% | 12.5% | 0.2% | 14 |
(sort kx ky)
Compiled 30 to 30 computations (0% saved)
| 1× | intervals |
| 40.0ms | 213× | body | 128 | valid |
| 23.0ms | 28× | body | 1024 | valid |
| 4.0ms | 8× | body | 512 | valid |
| 3.0ms | 7× | body | 256 | valid |
Compiled 59 to 63 computations (-6.8% saved)
| 1× | egg-herbie |
| 575× | associate-*l*_binary64 |
| 512× | unswap-sqr_binary64 |
| 437× | associate-*r*_binary64 |
| 409× | distribute-rgt-out_binary64 |
| 369× | associate-/r/_binary64 |
| 368× | associate-/r*_binary64 |
| 334× | associate-/l/_binary64 |
| 328× | associate-*l/_binary64 |
| 299× | associate-*r/_binary64 |
| 197× | times-frac_binary64 |
| 128× | *-commutative_binary64 |
| 97× | associate-/l*_binary64 |
| 88× | distribute-rgt-in_binary64 |
| 82× | swap-sqr_binary64 |
| 70× | distribute-lft-in_binary64 |
| 52× | distribute-lft-out_binary64 |
| 41× | sqr-pow_binary64 |
| 15× | cube-unmult_binary64 |
| 12× | pow-plus_binary64 cube-prod_binary64 |
| 7× | +-commutative_binary64 |
| 5× | unpow3_binary64 |
| 3× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 associate-+l+_binary64 associate-+r+_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 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-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 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 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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_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 | 24 | 42 |
| 1 | 56 | 39 |
| 2 | 107 | 39 |
| 3 | 429 | 39 |
| 4 | 2037 | 39 |
| 5 | 4844 | 39 |
| 6 | 5325 | 39 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 50 to 50 computations (0% saved)
Found 4 expressions with local error:
| 0.3b | (pow.f64 (sin.f64 ky) 2) |
| 0.7b | (/.f64 1/2 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) |
| 1.9b | (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 9.4b | (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 1× | rewrite-expression-head |
| 33× | add-sqr-sqrt_binary64 |
| 30× | *-un-lft-identity_binary64 |
| 26× | add-cube-cbrt_binary64 |
| 21× | times-frac_binary64 |
| 19× | add-exp-log_binary64 |
| 15× | sqrt-prod_binary64 |
| 13× | unpow-prod-down_binary64 |
| 12× | associate-*l*_binary64 |
| 8× | add-cbrt-cube_binary64 |
| 6× | pow1_binary64 prod-exp_binary64 associate-/r*_binary64 |
| 5× | associate-*r*_binary64 |
| 4× | add-log-exp_binary64 sqrt-div_binary64 pow-exp_binary64 unswap-sqr_binary64 |
| 3× | flip3-+_binary64 flip-+_binary64 div-exp_binary64 unpow2_binary64 sqr-pow_binary64 associate-/l*_binary64 pow-unpow_binary64 |
| 2× | pow-to-exp_binary64 associate-*r/_binary64 div-inv_binary64 distribute-lft-out_binary64 associate-/r/_binary64 |
| 1× | pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 cbrt-unprod_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 pow-pow_binary64 |
4 calls:
| 20.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 6.0ms | (/.f64 1/2 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) |
| 3.0ms | (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 3.0ms | (pow.f64 (sin.f64 ky) 2) |
Compiled 4225 to 3201 computations (24.2% saved)
4 calls:
| 272.0ms | (/.f64 1/2 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) |
| 218.0ms | (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 120.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 12.0ms | (pow.f64 (sin.f64 ky) 2) |
Compiled 4854 to 4340 computations (10.6% saved)
| 1× | egg-herbie |
| 406× | distribute-rgt-in_binary64 |
| 396× | distribute-lft-in_binary64 |
| 347× | times-frac_binary64 |
| 304× | unswap-sqr_binary64 |
| 176× | associate-*r*_binary64 |
| 168× | associate-*l*_binary64 |
| 136× | *-commutative_binary64 |
| 131× | cancel-sign-sub-inv_binary64 |
| 110× | distribute-rgt-neg-in_binary64 |
| 96× | sqr-pow_binary64 |
| 93× | distribute-lft-neg-in_binary64 |
| 61× | associate-*r/_binary64 |
| 54× | distribute-rgt-out_binary64 |
| 51× | associate-/l*_binary64 associate-*l/_binary64 |
| 47× | exp-prod_binary64 |
| 42× | +-commutative_binary64 |
| 41× | associate-/r*_binary64 |
| 39× | cube-prod_binary64 sub-neg_binary64 |
| 33× | neg-sub0_binary64 |
| 31× | neg-mul-1_binary64 distribute-lft-out_binary64 |
| 29× | log-prod_binary64 |
| 23× | *-rgt-identity_binary64 swap-sqr_binary64 |
| 19× | *-lft-identity_binary64 distribute-neg-frac_binary64 |
| 18× | distribute-neg-in_binary64 |
| 16× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 |
| 15× | associate-/l/_binary64 |
| 14× | unpow3_binary64 pow-sqr_binary64 |
| 12× | log-pow_binary64 distribute-lft-neg-out_binary64 associate-/r/_binary64 |
| 9× | log-div_binary64 cube-mult_binary64 |
| 8× | pow-plus_binary64 cube-unmult_binary64 cube-div_binary64 distribute-rgt-out--_binary64 associate-+l+_binary64 |
| 7× | rem-sqrt-square_binary64 |
| 6× | distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 |
| 5× | /-rgt-identity_binary64 difference-of-squares_binary64 associate-+r+_binary64 |
| 4× | exp-sum_binary64 unsub-neg_binary64 associate--r+_binary64 |
| 3× | rem-square-sqrt_binary64 distribute-lft-out--_binary64 associate--l+_binary64 |
| 2× | mul-1-neg_binary64 difference-of-sqr-1_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 distribute-lft1-in_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 6235 |
| 1 | 692 | 5850 |
| 2 | 2102 | 5689 |
| 3 | 4997 | 5689 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 2 | 140 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 3 | 141 |
Compiled 3696 to 2717 computations (26.5% saved)
Found 4 expressions with local error:
| 4.2b | (/.f64 (pow.f64 (sin.f64 ky) 2) Om) |
| 4.3b | (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om))) |
| 4.7b | (/.f64 (pow.f64 (sin.f64 kx) 2) Om) |
| 9.3b | (/.f64 (*.f64 l l) Om) |
| 1× | rewrite-expression-head |
| 67× | times-frac_binary64 |
| 61× | *-un-lft-identity_binary64 |
| 51× | add-sqr-sqrt_binary64 |
| 47× | add-cube-cbrt_binary64 |
| 30× | unpow-prod-down_binary64 |
| 28× | add-exp-log_binary64 |
| 22× | add-cbrt-cube_binary64 |
| 17× | associate-/l*_binary64 |
| 11× | associate-*r*_binary64 |
| 10× | div-exp_binary64 |
| 9× | associate-/r*_binary64 |
| 8× | unpow2_binary64 sqr-pow_binary64 |
| 7× | associate-*l*_binary64 distribute-lft-out_binary64 |
| 6× | pow1_binary64 cbrt-undiv_binary64 div-inv_binary64 |
| 5× | prod-exp_binary64 cbrt-unprod_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | frac-2neg_binary64 clear-num_binary64 frac-times_binary64 associate-*r/_binary64 |
| 2× | pow-to-exp_binary64 pow-exp_binary64 frac-add_binary64 flip3-+_binary64 flip-+_binary64 unswap-sqr_binary64 |
| 1× | pow-prod-down_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 distribute-rgt-out_binary64 *-commutative_binary64 |
4 calls:
| 50.0ms | (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om))) |
| 5.0ms | (/.f64 (pow.f64 (sin.f64 kx) 2) Om) |
| 5.0ms | (/.f64 (pow.f64 (sin.f64 ky) 2) Om) |
| 5.0ms | (/.f64 (*.f64 l l) Om) |
Compiled 5887 to 3454 computations (41.3% saved)
4 calls:
| 131.0ms | (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om))) |
| 28.0ms | (/.f64 (pow.f64 (sin.f64 kx) 2) Om) |
| 26.0ms | (/.f64 (pow.f64 (sin.f64 ky) 2) Om) |
| 23.0ms | (/.f64 (*.f64 l l) Om) |
Compiled 2088 to 1870 computations (10.4% saved)
| 1× | egg-herbie |
| 497× | associate-/l/_binary64 |
| 367× | associate-/r/_binary64 |
| 338× | distribute-rgt-in_binary64 |
| 320× | distribute-lft-in_binary64 |
| 206× | associate-*l/_binary64 |
| 159× | associate-/l*_binary64 associate-*l*_binary64 |
| 155× | associate-*r/_binary64 |
| 154× | unswap-sqr_binary64 |
| 132× | associate-*r*_binary64 |
| 116× | log-prod_binary64 |
| 106× | *-commutative_binary64 |
| 75× | log-div_binary64 |
| 69× | times-frac_binary64 |
| 59× | sqr-pow_binary64 |
| 54× | associate-/r*_binary64 |
| 37× | sub-neg_binary64 |
| 31× | cube-div_binary64 |
| 29× | distribute-neg-frac_binary64 |
| 28× | exp-prod_binary64 |
| 26× | log-pow_binary64 |
| 25× | distribute-rgt-neg-in_binary64 |
| 24× | *-rgt-identity_binary64 |
| 23× | cube-prod_binary64 *-lft-identity_binary64 |
| 21× | /-rgt-identity_binary64 distribute-lft-neg-in_binary64 |
| 19× | swap-sqr_binary64 |
| 18× | distribute-rgt-out_binary64 +-commutative_binary64 |
| 16× | neg-mul-1_binary64 neg-sub0_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-unmult_binary64 |
| 11× | pow-sqr_binary64 |
| 10× | pow-plus_binary64 distribute-lft-neg-out_binary64 |
| 8× | exp-sum_binary64 |
| 7× | log-rec_binary64 |
| 6× | unpow3_binary64 distribute-rgt-neg-out_binary64 distribute-lft-out_binary64 |
| 5× | rem-sqrt-square_binary64 |
| 4× | div-sub_binary64 |
| 3× | associate-+l-_binary64 associate-+l+_binary64 |
| 2× | cube-mult_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 distribute-rgt-out--_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 difference-of-squares_binary64 distribute-neg-in_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 281 | 4132 |
| 1 | 654 | 3532 |
| 2 | 2154 | 3442 |
| 3 | 4852 | 3442 |
| 4 | 4999 | 3442 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 1 | 132 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 133 | 2 | 135 |
Compiled 3024 to 1740 computations (42.5% saved)
Found 4 expressions with local error:
| 0.7b | (/.f64 1/2 (+.f64 1 (*.f64 2 (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (*.f64 (sin.f64 kx) (/.f64 (sin.f64 kx) Om))))))) |
| 4.2b | (/.f64 (pow.f64 (sin.f64 ky) 2) Om) |
| 4.3b | (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (*.f64 (sin.f64 kx) (/.f64 (sin.f64 kx) Om)))) |
| 9.3b | (/.f64 (*.f64 l l) Om) |
| 1× | rewrite-expression-head |
| 40× | times-frac_binary64 |
| 38× | add-sqr-sqrt_binary64 |
| 34× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 25× | add-exp-log_binary64 |
| 22× | add-cbrt-cube_binary64 |
| 12× | associate-/l*_binary64 unpow-prod-down_binary64 |
| 9× | associate-/r*_binary64 |
| 8× | div-exp_binary64 |
| 7× | associate-*l*_binary64 |
| 6× | pow1_binary64 cbrt-undiv_binary64 |
| 5× | prod-exp_binary64 cbrt-unprod_binary64 associate-*r/_binary64 |
| 4× | add-log-exp_binary64 div-inv_binary64 unpow2_binary64 sqr-pow_binary64 |
| 3× | frac-2neg_binary64 clear-num_binary64 frac-times_binary64 flip3-+_binary64 flip-+_binary64 associate-*r*_binary64 |
| 2× | frac-add_binary64 unswap-sqr_binary64 associate-/r/_binary64 |
| 1× | pow-prod-down_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 *-commutative_binary64 pow-to-exp_binary64 pow-exp_binary64 |
4 calls:
| 19.0ms | (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (*.f64 (sin.f64 kx) (/.f64 (sin.f64 kx) Om)))) |
| 6.0ms | (/.f64 (pow.f64 (sin.f64 ky) 2) Om) |
| 5.0ms | (/.f64 1/2 (+.f64 1 (*.f64 2 (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (*.f64 (sin.f64 kx) (/.f64 (sin.f64 kx) Om))))))) |
| 5.0ms | (/.f64 (*.f64 l l) Om) |
Compiled 5580 to 2664 computations (52.3% saved)
4 calls:
| 200.0ms | (/.f64 1/2 (+.f64 1 (*.f64 2 (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (*.f64 (sin.f64 kx) (/.f64 (sin.f64 kx) Om))))))) |
| 131.0ms | (*.f64 (/.f64 (*.f64 l l) Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (*.f64 (sin.f64 kx) (/.f64 (sin.f64 kx) Om)))) |
| 27.0ms | (/.f64 (pow.f64 (sin.f64 ky) 2) Om) |
| 22.0ms | (/.f64 (*.f64 l l) Om) |
Compiled 2742 to 2429 computations (11.4% saved)
| 1× | egg-herbie |
| 622× | distribute-rgt-in_binary64 |
| 592× | distribute-lft-in_binary64 |
| 216× | associate-*l*_binary64 |
| 207× | associate-*l/_binary64 |
| 205× | associate-*r*_binary64 |
| 169× | associate-*r/_binary64 |
| 147× | unswap-sqr_binary64 |
| 142× | *-commutative_binary64 |
| 135× | associate-/l*_binary64 |
| 100× | distribute-rgt-neg-in_binary64 |
| 86× | cancel-sign-sub-inv_binary64 |
| 85× | distribute-lft-neg-in_binary64 |
| 66× | times-frac_binary64 |
| 62× | sqr-pow_binary64 |
| 57× | associate-/r*_binary64 |
| 56× | associate-/l/_binary64 |
| 54× | distribute-rgt-out_binary64 |
| 52× | distribute-neg-frac_binary64 |
| 44× | cube-prod_binary64 |
| 40× | sub-neg_binary64 |
| 39× | associate-/r/_binary64 |
| 38× | cube-div_binary64 |
| 34× | +-commutative_binary64 |
| 33× | log-prod_binary64 |
| 32× | log-div_binary64 swap-sqr_binary64 |
| 30× | exp-prod_binary64 neg-mul-1_binary64 neg-sub0_binary64 |
| 29× | *-rgt-identity_binary64 |
| 27× | distribute-neg-in_binary64 |
| 24× | *-lft-identity_binary64 |
| 20× | distribute-lft-neg-out_binary64 |
| 17× | distribute-lft-out_binary64 |
| 14× | /-rgt-identity_binary64 |
| 12× | unpow3_binary64 |
| 10× | cube-unmult_binary64 |
| 9× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-mult_binary64 |
| 8× | exp-sum_binary64 |
| 7× | log-pow_binary64 pow-sqr_binary64 |
| 6× | pow-plus_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64 associate-+l+_binary64 |
| 4× | associate-+r+_binary64 |
| 3× | rem-sqrt-square_binary64 div-sub_binary64 associate-+l-_binary64 |
| 2× | distribute-lft-out--_binary64 associate--l+_binary64 associate-+r-_binary64 |
| 1× | log-rec_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 unsub-neg_binary64 difference-of-squares_binary64 count-2_binary64 associate--r+_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 5277 |
| 1 | 736 | 4585 |
| 2 | 2530 | 4567 |
| 3 | 5486 | 4567 |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 0 | 129 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 129 | 2 | 131 |
Compiled 3540 to 1957 computations (44.7% saved)
Total 0.8b remaining (73.9%)
Threshold costs 0.8b (73.9%)
Compiled 37884 to 34769 computations (8.2% saved)
Compiled 7 to 9 computations (-28.6% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 +-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 100 |
| 1 | 55 | 100 |
| 2 | 53 | 100 |
(sort kx ky)
Compiled 195 to 156 computations (20% saved)
| 1× | intervals |
| 1.1s | 6304× | body | 128 | valid |
| 658.0ms | 825× | body | 1024 | valid |
| 330.0ms | 553× | body | 512 | valid |
| 123.0ms | 317× | body | 256 | valid |
| 2.0ms | 1× | body | 2048 | valid |
Compiled 152 to 150 computations (1.3% saved)
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