Time bar (total: 7.2s)
| 1× | search |
| 2× | egg-herbie |
| 340× | associate-+l+_binary64 |
| 318× | associate-+r+_binary64 |
| 246× | +-commutative_binary64 |
| 65× | *-commutative_binary64 |
| 41× | distribute-rgt-out_binary64 |
| 22× | associate-*l*_binary64 |
| 19× | associate-*r*_binary64 |
| 9× | distribute-lft-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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-rgt-in_binary64 distribute-lft-in_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 | 86 | 352 |
| 1 | 210 | 304 |
| 2 | 527 | 304 |
| 3 | 824 | 304 |
| 4 | 861 | 304 |
| 5 | 863 | 304 |
| 6 | 863 | 304 |
| 0 | 6 | 6 |
| 1 | 6 | 6 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.7% | 0.3% | 0 |
| 0% | 99.7% | 0.3% | 1 |
| 0% | 99.7% | 0.3% | 2 |
| 0% | 99.7% | 0.3% | 3 |
| 0% | 99.7% | 0.3% | 4 |
| 0% | 99.7% | 0.3% | 5 |
| 0% | 99.7% | 0.3% | 6 |
| 0% | 99.7% | 0.3% | 7 |
| 0% | 99.7% | 0.3% | 8 |
| 0% | 99.7% | 0.3% | 9 |
| 0% | 99.7% | 0.3% | 10 |
| 0% | 99.7% | 0.3% | 11 |
| 0% | 99.7% | 0.3% | 12 |
| 1.8% | 98% | 0.3% | 13 |
| 2.4% | 97.3% | 0.3% | 14 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | intervals |
| 11.0ms | 256× | body | 128 | valid |
| 5.0ms | 122× | body | 128 | invalid |
Compiled 31 to 33 computations (-6.5% saved)
| 1× | egg-herbie |
| 24× | associate-+l+_binary64 |
| 22× | associate-+r+_binary64 |
| 19× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 3× | distribute-rgt-out_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 1× | distribute-lft-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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-rgt-in_binary64 distribute-lft-in_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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 22 |
| 1 | 27 | 19 |
| 2 | 55 | 19 |
| 3 | 77 | 19 |
| 4 | 81 | 19 |
| 5 | 81 | 19 |
| 6 | 81 | 19 |
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 41 to 37 computations (9.8% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 x (*.f64 y z)) |
| 0.0b | (+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b)) |
| 0.0b | (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) |
| 5.2b | (*.f64 (*.f64 a z) b) |
| 1× | rewrite-expression-head |
| 20× | add-log-exp_binary64 |
| 10× | sum-log_binary64 |
| 9× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 5× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 3× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64 |
| 2× | associate-+l+_binary64 |
| 1× | associate-*l*_binary64 *-commutative_binary64 |
4 calls:
| 10.0ms | (*.f64 (*.f64 a z) b) |
| 8.0ms | (+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b)) |
| 5.0ms | (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) |
| 3.0ms | (+.f64 x (*.f64 y z)) |
Compiled 1296 to 224 computations (82.7% saved)
4 calls:
| 93.0ms | (+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b)) |
| 55.0ms | (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) |
| 27.0ms | (+.f64 x (*.f64 y z)) |
| 24.0ms | (*.f64 (*.f64 a z) b) |
Compiled 2157 to 1784 computations (17.3% saved)
| 1× | egg-herbie |
| 891× | distribute-rgt-in_binary64 |
| 850× | distribute-lft-in_binary64 |
| 188× | cancel-sign-sub-inv_binary64 |
| 170× | associate-*l*_binary64 |
| 141× | associate-*r*_binary64 |
| 131× | sub-neg_binary64 |
| 130× | distribute-rgt-neg-in_binary64 |
| 100× | distribute-lft-neg-in_binary64 |
| 95× | neg-mul-1_binary64 neg-sub0_binary64 |
| 80× | *-commutative_binary64 |
| 55× | unsub-neg_binary64 |
| 53× | associate--l+_binary64 |
| 51× | +-commutative_binary64 |
| 50× | distribute-rgt-out_binary64 |
| 47× | sqr-pow_binary64 |
| 42× | associate-+l+_binary64 |
| 36× | exp-prod_binary64 |
| 31× | cube-prod_binary64 |
| 29× | exp-sum_binary64 unswap-sqr_binary64 |
| 28× | distribute-lft-neg-out_binary64 |
| 27× | distribute-rgt-out--_binary64 distribute-lft-out_binary64 |
| 26× | distribute-neg-in_binary64 associate-+r+_binary64 |
| 25× | log-prod_binary64 |
| 17× | swap-sqr_binary64 |
| 14× | unpow3_binary64 |
| 13× | prod-exp_binary64 distribute-lft-out--_binary64 |
| 10× | cube-mult_binary64 |
| 8× | *-rgt-identity_binary64 |
| 7× | *-lft-identity_binary64 associate--r+_binary64 |
| 3× | pow-sqr_binary64 difference-of-squares_binary64 distribute-rgt-neg-out_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 1× | unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_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 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 1903 |
| 1 | 367 | 1849 |
| 2 | 1383 | 1837 |
| 3 | 4798 | 1837 |
| 4 | 5001 | 1837 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 3 | 100 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 98 | 4 | 102 |
Compiled 988 to 217 computations (78% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 x (*.f64 z (+.f64 y (*.f64 a b)))) |
| 0.0b | (+.f64 (*.f64 a t) (+.f64 x (*.f64 z (+.f64 y (*.f64 a b))))) |
| 0.0b | (+.f64 y (*.f64 a b)) |
| 1.7b | (*.f64 z (+.f64 y (*.f64 a b))) |
| 1× | rewrite-expression-head |
| 13× | add-log-exp_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 6× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 5× | sum-log_binary64 |
| 4× | flip3-+_binary64 flip-+_binary64 |
| 3× | associate-*l*_binary64 associate-*r*_binary64 +-commutative_binary64 associate-+r+_binary64 |
| 2× | distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*r/_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 |
4 calls:
| 6.0ms | (+.f64 (*.f64 a t) (+.f64 x (*.f64 z (+.f64 y (*.f64 a b))))) |
| 6.0ms | (*.f64 z (+.f64 y (*.f64 a b))) |
| 3.0ms | (+.f64 x (*.f64 z (+.f64 y (*.f64 a b)))) |
| 3.0ms | (+.f64 y (*.f64 a b)) |
Compiled 1272 to 262 computations (79.4% saved)
4 calls:
| 87.0ms | (+.f64 (*.f64 a t) (+.f64 x (*.f64 z (+.f64 y (*.f64 a b))))) |
| 66.0ms | (+.f64 x (*.f64 z (+.f64 y (*.f64 a b)))) |
| 42.0ms | (*.f64 z (+.f64 y (*.f64 a b))) |
| 26.0ms | (+.f64 y (*.f64 a b)) |
Compiled 2227 to 1914 computations (14.1% saved)
| 1× | egg-herbie |
| 769× | distribute-rgt-in_binary64 |
| 727× | distribute-lft-in_binary64 |
| 280× | sub-neg_binary64 |
| 208× | associate-+l+_binary64 |
| 185× | cancel-sign-sub-inv_binary64 |
| 124× | associate-*l*_binary64 |
| 115× | associate-*r*_binary64 |
| 111× | neg-mul-1_binary64 neg-sub0_binary64 |
| 110× | unsub-neg_binary64 |
| 103× | distribute-rgt-neg-in_binary64 |
| 89× | *-commutative_binary64 |
| 87× | associate--r+_binary64 |
| 81× | distribute-lft-neg-in_binary64 |
| 62× | associate--l+_binary64 |
| 56× | distribute-neg-in_binary64 |
| 49× | exp-prod_binary64 |
| 40× | exp-sum_binary64 sqr-pow_binary64 |
| 36× | distribute-rgt-out_binary64 |
| 35× | +-commutative_binary64 |
| 30× | distribute-lft-neg-out_binary64 |
| 23× | associate-+r-_binary64 |
| 19× | distribute-rgt-out--_binary64 associate-+l-_binary64 |
| 18× | cube-prod_binary64 |
| 16× | distribute-lft-out_binary64 associate-+r+_binary64 |
| 14× | *-rgt-identity_binary64 *-lft-identity_binary64 distribute-rgt-neg-out_binary64 |
| 12× | unswap-sqr_binary64 |
| 11× | unpow3_binary64 |
| 9× | log-prod_binary64 cube-mult_binary64 |
| 8× | swap-sqr_binary64 |
| 6× | prod-exp_binary64 distribute-lft-out--_binary64 |
| 3× | pow-sqr_binary64 difference-of-squares_binary64 |
| 2× | associate--l-_binary64 |
| 1× | unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 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 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 2209 |
| 1 | 357 | 2050 |
| 2 | 1213 | 2050 |
| 3 | 4753 | 2050 |
| 4 | 5120 | 2050 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 1 | 109 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 108 | 5 | 113 |
Compiled 956 to 234 computations (75.5% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b)))) |
| 0.0b | (+.f64 t (*.f64 z b)) |
| 0.0b | (+.f64 x (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))) |
| 2.2b | (*.f64 a (+.f64 t (*.f64 z b))) |
| 1× | rewrite-expression-head |
| 13× | add-log-exp_binary64 |
| 8× | add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 6× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 |
| 5× | sum-log_binary64 |
| 4× | flip3-+_binary64 flip-+_binary64 |
| 3× | associate-*l*_binary64 associate-*r*_binary64 associate-+r+_binary64 +-commutative_binary64 |
| 2× | distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*r/_binary64 |
| 1× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 distribute-lft-out_binary64 |
4 calls:
| 5.0ms | (*.f64 a (+.f64 t (*.f64 z b))) |
| 5.0ms | (+.f64 x (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))) |
| 4.0ms | (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b)))) |
| 3.0ms | (+.f64 t (*.f64 z b)) |
Compiled 1292 to 262 computations (79.7% saved)
4 calls:
| 89.0ms | (+.f64 x (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))) |
| 74.0ms | (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b)))) |
| 41.0ms | (*.f64 a (+.f64 t (*.f64 z b))) |
| 24.0ms | (+.f64 t (*.f64 z b)) |
Compiled 2221 to 1909 computations (14% saved)
| 1× | egg-herbie |
| 736× | distribute-rgt-in_binary64 |
| 693× | distribute-lft-in_binary64 |
| 209× | associate-+l+_binary64 |
| 190× | associate-+r+_binary64 |
| 182× | cancel-sign-sub-inv_binary64 |
| 123× | associate-*l*_binary64 |
| 114× | associate-*r*_binary64 |
| 107× | distribute-rgt-neg-in_binary64 |
| 88× | *-commutative_binary64 |
| 87× | associate--r+_binary64 |
| 85× | distribute-lft-neg-in_binary64 |
| 62× | associate--l+_binary64 |
| 59× | sub-neg_binary64 |
| 56× | distribute-neg-in_binary64 |
| 47× | exp-prod_binary64 |
| 46× | +-commutative_binary64 |
| 40× | exp-sum_binary64 sqr-pow_binary64 |
| 34× | neg-mul-1_binary64 neg-sub0_binary64 distribute-rgt-out_binary64 |
| 30× | distribute-lft-neg-out_binary64 |
| 23× | associate-+r-_binary64 |
| 21× | distribute-rgt-out--_binary64 |
| 19× | associate-+l-_binary64 |
| 16× | distribute-lft-out_binary64 |
| 14× | *-lft-identity_binary64 distribute-rgt-neg-out_binary64 |
| 13× | *-rgt-identity_binary64 |
| 12× | cube-prod_binary64 unswap-sqr_binary64 |
| 11× | unpow3_binary64 |
| 9× | log-prod_binary64 cube-mult_binary64 |
| 8× | swap-sqr_binary64 |
| 7× | unsub-neg_binary64 |
| 6× | prod-exp_binary64 distribute-lft-out--_binary64 |
| 3× | pow-sqr_binary64 difference-of-squares_binary64 |
| 2× | associate--l-_binary64 |
| 1× | unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 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 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 2345 |
| 1 | 355 | 2180 |
| 2 | 1211 | 2180 |
| 3 | 4980 | 2180 |
| 4 | 4999 | 2180 |
| 5 | 5016 | 2180 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 1 | 86 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 85 | 6 | 91 |
Compiled 824 to 206 computations (75% saved)
Found 4 expressions with local error:
| 0.5b | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
| 0.5b | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
| 0.5b | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
| 5.2b | (*.f64 (*.f64 a z) b) |
| 1× | rewrite-expression-head |
| 14× | *-un-lft-identity_binary64 |
| 12× | cbrt-prod_binary64 |
| 9× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 8× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 |
| 6× | cbrt-div_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64 pow1/3_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 |
| 1× | associate-*l*_binary64 *-commutative_binary64 |
4 calls:
| 7.0ms | (*.f64 (*.f64 a z) b) |
| 6.0ms | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
| 6.0ms | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
| 5.0ms | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
Compiled 2678 to 260 computations (90.3% saved)
4 calls:
| 233.0ms | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
| 230.0ms | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
| 230.0ms | (cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x)) |
| 26.0ms | (*.f64 (*.f64 a z) b) |
Compiled 19418 to 10625 computations (45.3% saved)
| 1× | egg-herbie |
| 268× | associate-*r*_binary64 |
| 249× | cancel-sign-sub-inv_binary64 |
| 216× | times-frac_binary64 |
| 215× | associate-*l*_binary64 |
| 208× | *-commutative_binary64 |
| 184× | associate-/l*_binary64 |
| 167× | unswap-sqr_binary64 |
| 155× | distribute-rgt-in_binary64 |
| 135× | distribute-lft-in_binary64 |
| 130× | associate-/r*_binary64 |
| 112× | sub-neg_binary64 |
| 111× | exp-prod_binary64 |
| 104× | sqr-pow_binary64 |
| 97× | associate-/l/_binary64 |
| 96× | distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
| 88× | associate-*l/_binary64 associate-*r/_binary64 |
| 87× | +-commutative_binary64 |
| 83× | distribute-lft-out_binary64 |
| 56× | log-prod_binary64 |
| 49× | distribute-neg-frac_binary64 |
| 43× | neg-mul-1_binary64 neg-sub0_binary64 |
| 41× | exp-sum_binary64 |
| 39× | associate-+l+_binary64 |
| 35× | distribute-neg-in_binary64 |
| 34× | distribute-rgt-out_binary64 |
| 33× | unsub-neg_binary64 |
| 28× | associate-+r+_binary64 |
| 24× | associate--l+_binary64 |
| 22× | associate-/r/_binary64 |
| 18× | cube-prod_binary64 associate--r+_binary64 |
| 17× | unpow1/3_binary64 |
| 15× | swap-sqr_binary64 |
| 14× | distribute-lft-neg-out_binary64 |
| 10× | log-pow_binary64 distribute-rgt-neg-out_binary64 |
| 9× | log-div_binary64 unpow3_binary64 unpow1/2_binary64 exp-to-pow_binary64 exp-diff_binary64 div-sub_binary64 associate--r-_binary64 |
| 8× | unpow2_binary64 unpow1_binary64 pow-sqr_binary64 |
| 7× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 6× | pow-plus_binary64 distribute-neg-out_binary64 |
| 4× | log-rec_binary64 cube-unmult_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64 |
| 3× | difference-of-squares_binary64 distribute-rgt-out--_binary64 |
| 2× | cube-mult_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 +-inverses_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 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 291 | 6362 |
| 1 | 876 | 5774 |
| 2 | 2899 | 5306 |
| 3 | 4890 | 5222 |
| 4 | 4955 | 5222 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 0 | 147 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 147 | 6 | 153 |
Compiled 5908 to 1352 computations (77.1% saved)
Total 0.6b remaining (97.2%)
Threshold costs 0.6b (97.2%)
Compiled 16519 to 12044 computations (27.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 2.7165106450121756e-68 | 9.961741353130863e-67 | 2.6475876084449683e-67 |
| 1 | -1.2214011800806045e+120 | -2.0680499687825374e+119 | -5.121552918984049e+119 |
Compiled 1 to 6 computations (-500% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 +-commutative_binary64 |
| 1× | if-if-or-not_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_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 55 |
| 1 | 41 | 55 |
| 2 | 41 | 55 |
Compiled 37 to 25 computations (32.4% saved)
| 1× | intervals |
| 580.0ms | 8000× | body | 128 | valid |
| 182.0ms | 3934× | body | 128 | invalid |
Compiled 236 to 175 computations (25.8% saved)
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