Time bar (total: 2.8s)
| 1× | search |
| 2× | egg-herbie |
| 9× | *-commutative_binary64 |
| 6× | associate-/r/_binary64 associate-/l*_binary64 |
| 1× | swap-x-y |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 28 |
| 1 | 21 | 28 |
| 2 | 29 | 28 |
| 3 | 35 | 28 |
| 4 | 37 | 28 |
| 5 | 37 | 28 |
| 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 |
| 31.2% | 68.6% | 0.1% | 7 |
| 37.4% | 62.4% | 0.1% | 8 |
| 40.6% | 57.7% | 1.7% | 9 |
| 54.6% | 41.3% | 4% | 10 |
| 59.3% | 36.7% | 4% | 11 |
| 61.6% | 32.6% | 5.8% | 12 |
| 68.3% | 22.7% | 9% | 13 |
| 71% | 20% | 9% | 14 |
(sort x y)
Compiled 6 to 6 computations (0% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
| 0.0ms | 15× | body | 128 | invalid |
Compiled 11 to 14 computations (-27.3% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | 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 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 9 | 7 |
| 2 | 13 | 7 |
| 3 | 16 | 7 |
| 4 | 17 | 7 |
| 5 | 17 | 7 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
Compiled 5 to 5 computations (0% saved)
Found 1 expressions with local error:
| 5.1b | (/.f64 (*.f64 x y) z) |
| 1× | rewrite-expression-head |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64 associate-/r*_binary64 |
| 2× | div-exp_binary64 cbrt-undiv_binary64 |
| 1× | pow1_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 |
1 calls:
| 4.0ms | (/.f64 (*.f64 x y) z) |
Compiled 214 to 74 computations (65.4% saved)
1 calls:
| 23.0ms | (/.f64 (*.f64 x y) z) |
Compiled 95 to 95 computations (0% saved)
| 1× | egg-herbie |
| 1114× | div-sub_binary64 |
| 1002× | associate-/r/_binary64 |
| 543× | sub-neg_binary64 |
| 355× | associate-/l*_binary64 |
| 299× | *-commutative_binary64 |
| 294× | times-frac_binary64 |
| 280× | cancel-sign-sub-inv_binary64 |
| 263× | unsub-neg_binary64 |
| 189× | sqr-pow_binary64 |
| 184× | +-commutative_binary64 |
| 176× | div0_binary64 |
| 163× | distribute-neg-in_binary64 associate--l-_binary64 |
| 150× | associate-/l/_binary64 |
| 136× | distribute-rgt-in_binary64 |
| 133× | associate-*l/_binary64 |
| 122× | associate--l+_binary64 |
| 109× | associate--r-_binary64 |
| 107× | associate-*l*_binary64 |
| 102× | unswap-sqr_binary64 |
| 98× | associate-*r/_binary64 |
| 91× | associate-/r*_binary64 |
| 90× | associate-+l-_binary64 |
| 81× | pow-sqr_binary64 |
| 73× | associate-+r-_binary64 |
| 58× | distribute-rgt-neg-in_binary64 associate-*r*_binary64 |
| 57× | distribute-lft-in_binary64 |
| 54× | distribute-lft-neg-in_binary64 |
| 50× | associate-+l+_binary64 |
| 44× | neg-mul-1_binary64 neg-sub0_binary64 |
| 43× | distribute-neg-out_binary64 |
| 41× | distribute-lft-neg-out_binary64 |
| 33× | mul0-rgt_binary64 mul0-lft_binary64 |
| 30× | associate--r+_binary64 |
| 26× | *-rgt-identity_binary64 |
| 23× | log-div_binary64 |
| 20× | log-prod_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 |
| 19× | distribute-rgt-neg-out_binary64 |
| 18× | cube-div_binary64 cube-prod_binary64 /-rgt-identity_binary64 |
| 17× | *-lft-identity_binary64 |
| 16× | distribute-lft-out--_binary64 |
| 15× | associate-+r+_binary64 |
| 14× | distribute-rgt-out_binary64 |
| 10× | --rgt-identity_binary64 |
| 8× | exp-sum_binary64 remove-double-neg_binary64 |
| 7× | unpow3_binary64 +-rgt-identity_binary64 |
| 6× | exp-prod_binary64 exp-diff_binary64 sub0-neg_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64 |
| 5× | cube-unmult_binary64 distribute-neg-frac_binary64 distribute-lft-out_binary64 |
| 4× | cube-mult_binary64 |
| 2× | log-rec_binary64 distribute-lft1-in_binary64 |
| 1× | 1-exp_binary64 mul-1-neg_binary64 +-lft-identity_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 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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_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 *-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 distribute-frac-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 306 |
| 1 | 115 | 261 |
| 2 | 397 | 261 |
| 3 | 1588 | 261 |
| 4 | 1967 | 261 |
| 5 | 2299 | 261 |
| 6 | 2896 | 261 |
| 7 | 3453 | 261 |
| 8 | 3850 | 261 |
| 9 | 4637 | 261 |
| 10 | 4671 | 261 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 | 4 | 9 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 5 | 5 | 10 |
Compiled 80 to 49 computations (38.8% saved)
Found 1 expressions with local error:
| 4.9b | (*.f64 x (/.f64 y z)) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 9× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | pow1_binary64 associate-*l*_binary64 |
| 2× | prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 |
| 1× | pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64 |
1 calls:
| 7.0ms | (*.f64 x (/.f64 y z)) |
Compiled 359 to 116 computations (67.7% saved)
1 calls:
| 23.0ms | (*.f64 x (/.f64 y z)) |
Compiled 95 to 95 computations (0% saved)
| 1× | egg-herbie |
| 830× | unsub-neg_binary64 |
| 432× | associate-/l/_binary64 |
| 373× | distribute-rgt-in_binary64 |
| 332× | sub-neg_binary64 |
| 317× | associate-/r*_binary64 |
| 301× | associate--l+_binary64 |
| 296× | cancel-sign-sub-inv_binary64 |
| 288× | associate-/r/_binary64 |
| 246× | sqr-pow_binary64 |
| 238× | *-commutative_binary64 |
| 225× | associate-*l*_binary64 |
| 204× | distribute-neg-in_binary64 |
| 189× | associate-*r/_binary64 |
| 180× | associate-*l/_binary64 |
| 176× | associate-/l*_binary64 |
| 173× | associate-+l-_binary64 |
| 171× | associate-*r*_binary64 |
| 133× | unswap-sqr_binary64 |
| 122× | neg-sub0_binary64 |
| 117× | pow-sqr_binary64 |
| 116× | neg-mul-1_binary64 |
| 93× | rem-sqrt-square_binary64 times-frac_binary64 |
| 90× | associate--r-_binary64 |
| 87× | associate--l-_binary64 |
| 86× | associate-+l+_binary64 |
| 81× | *-rgt-identity_binary64 |
| 73× | associate-+r-_binary64 |
| 71× | distribute-neg-out_binary64 |
| 67× | *-lft-identity_binary64 |
| 59× | associate-+r+_binary64 |
| 55× | distribute-lft-in_binary64 |
| 35× | associate--r+_binary64 |
| 27× | distribute-rgt-neg-in_binary64 |
| 26× | +-rgt-identity_binary64 |
| 25× | distribute-lft-neg-out_binary64 |
| 24× | cancel-sign-sub_binary64 +-commutative_binary64 |
| 23× | log-prod_binary64 exp-prod_binary64 |
| 22× | distribute-lft-neg-in_binary64 |
| 21× | cube-div_binary64 /-rgt-identity_binary64 distribute-rgt-out--_binary64 |
| 20× | log-div_binary64 |
| 18× | cube-prod_binary64 |
| 17× | swap-sqr_binary64 distribute-lft-out--_binary64 |
| 16× | distribute-rgt-out_binary64 |
| 13× | remove-double-neg_binary64 |
| 10× | distribute-rgt-neg-out_binary64 |
| 8× | distribute-lft-out_binary64 |
| 7× | unpow3_binary64 |
| 6× | unpow1/2_binary64 cube-mult_binary64 distribute-rgt1-in_binary64 |
| 5× | cube-unmult_binary64 mul-1-neg_binary64 sub0-neg_binary64 |
| 4× | log-rec_binary64 --rgt-identity_binary64 remove-double-div_binary64 |
| 3× | distribute-lft1-in_binary64 |
| 2× | +-lft-identity_binary64 +-inverses_binary64 |
| 1× | 1-exp_binary64 exp-1-e_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 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 435 |
| 1 | 160 | 390 |
| 2 | 522 | 390 |
| 3 | 1386 | 390 |
| 4 | 2367 | 390 |
| 5 | 2683 | 390 |
| 6 | 3714 | 390 |
| 7 | 4083 | 390 |
| 8 | 4550 | 390 |
| 9 | 4985 | 390 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 16 | 3 | 19 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 17 | 7 | 24 |
Compiled 188 to 85 computations (54.8% saved)
Found 4 expressions with local error:
| 0.6b | (cbrt.f64 z) |
| 0.6b | (cbrt.f64 z) |
| 1.4b | (/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)) |
| 3.5b | (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) |
| 1× | rewrite-expression-head |
| 27× | add-exp-log_binary64 |
| 19× | add-cbrt-cube_binary64 |
| 17× | add-sqr-sqrt_binary64 |
| 13× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 12× | cbrt-prod_binary64 |
| 10× | times-frac_binary64 |
| 8× | prod-exp_binary64 div-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 |
| 7× | associate-*r*_binary64 |
| 6× | pow1_binary64 associate-/r*_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | unswap-sqr_binary64 associate-*r/_binary64 div-inv_binary64 pow1/3_binary64 |
| 1× | pow-prod-down_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 associate-/l*_binary64 |
4 calls:
| 10.0ms | (/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)) |
| 9.0ms | (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) |
| 1.0ms | (cbrt.f64 z) |
| 1.0ms | (cbrt.f64 z) |
Compiled 1489 to 290 computations (80.5% saved)
4 calls:
| 87.0ms | (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) |
| 30.0ms | (/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)) |
| 17.0ms | (cbrt.f64 z) |
| 16.0ms | (cbrt.f64 z) |
Compiled 654 to 554 computations (15.3% saved)
| 1× | egg-herbie |
| 814× | associate-/r/_binary64 |
| 299× | *-commutative_binary64 |
| 237× | unswap-sqr_binary64 |
| 181× | cancel-sign-sub-inv_binary64 |
| 169× | log-div_binary64 |
| 157× | log-prod_binary64 |
| 145× | distribute-rgt-neg-in_binary64 |
| 135× | sub-neg_binary64 |
| 132× | cube-prod_binary64 |
| 120× | associate-/l*_binary64 |
| 117× | distribute-lft-neg-in_binary64 |
| 109× | times-frac_binary64 |
| 98× | sqr-pow_binary64 |
| 89× | associate-*l*_binary64 |
| 81× | cube-div_binary64 |
| 80× | distribute-neg-frac_binary64 associate-/r*_binary64 |
| 73× | associate-*l/_binary64 |
| 72× | associate-*r/_binary64 |
| 71× | distribute-rgt-in_binary64 |
| 67× | distribute-lft-in_binary64 associate-*r*_binary64 |
| 65× | exp-prod_binary64 |
| 61× | swap-sqr_binary64 |
| 57× | neg-sub0_binary64 |
| 54× | neg-mul-1_binary64 |
| 46× | associate-/l/_binary64 |
| 37× | div-sub_binary64 |
| 32× | distribute-neg-in_binary64 |
| 29× | associate--l+_binary64 |
| 28× | unpow3_binary64 |
| 27× | /-rgt-identity_binary64 |
| 25× | cube-mult_binary64 associate-+l-_binary64 |
| 23× | *-rgt-identity_binary64 |
| 22× | associate--l-_binary64 |
| 21× | associate-+l+_binary64 |
| 19× | unsub-neg_binary64 associate-+r-_binary64 |
| 18× | *-lft-identity_binary64 |
| 17× | log-pow_binary64 log-rec_binary64 +-commutative_binary64 |
| 15× | associate--r+_binary64 |
| 14× | associate-+r+_binary64 |
| 13× | cube-unmult_binary64 |
| 10× | pow-plus_binary64 pow-sqr_binary64 distribute-lft-neg-out_binary64 |
| 9× | distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64 |
| 8× | distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64 |
| 7× | +-rgt-identity_binary64 |
| 6× | distribute-neg-out_binary64 |
| 5× | rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64 |
| 4× | mul-1-neg_binary64 div0_binary64 |
| 3× | unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 distribute-rgt-out--_binary64 associate--r-_binary64 |
| 2× | unpow1_binary64 |
| 1× | exp-diff_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_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-lft1-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 1794 |
| 1 | 302 | 1115 |
| 2 | 1350 | 1115 |
| 3 | 2702 | 1115 |
| 4 | 4979 | 1115 |
| 5 | 4959 | 1115 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 2 | 71 |
| Fresh | 3 | 1 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 72 | 6 | 78 |
Compiled 636 to 292 computations (54.1% saved)
Found 4 expressions with local error:
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 2.3b | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x))) |
| 2.7b | (*.f64 (/.f64 y z) (cbrt.f64 x)) |
| 1× | rewrite-expression-head |
| 30× | add-exp-log_binary64 |
| 25× | add-sqr-sqrt_binary64 |
| 18× | pow1_binary64 add-cbrt-cube_binary64 |
| 15× | prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 *-un-lft-identity_binary64 |
| 14× | associate-*l*_binary64 |
| 11× | cbrt-prod_binary64 times-frac_binary64 |
| 9× | pow-prod-down_binary64 |
| 7× | associate-*r*_binary64 |
| 4× | add-log-exp_binary64 unswap-sqr_binary64 |
| 3× | div-exp_binary64 cbrt-undiv_binary64 |
| 2× | associate-*l/_binary64 *-commutative_binary64 pow1/3_binary64 |
| 1× | div-inv_binary64 associate-*r/_binary64 |
4 calls:
| 12.0ms | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x))) |
| 8.0ms | (*.f64 (/.f64 y z) (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
Compiled 1499 to 290 computations (80.7% saved)
4 calls:
| 64.0ms | (*.f64 (/.f64 y z) (cbrt.f64 x)) |
| 33.0ms | (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x))) |
| 17.0ms | (cbrt.f64 x) |
| 16.0ms | (cbrt.f64 x) |
Compiled 634 to 492 computations (22.4% saved)
| 1× | egg-herbie |
| 399× | associate-*r/_binary64 |
| 397× | associate-*l/_binary64 |
| 347× | log-prod_binary64 |
| 316× | unswap-sqr_binary64 |
| 312× | *-commutative_binary64 |
| 258× | associate-/l*_binary64 |
| 212× | log-div_binary64 |
| 175× | associate-*l*_binary64 |
| 147× | associate-*r*_binary64 |
| 103× | distribute-rgt-neg-in_binary64 |
| 90× | sqr-pow_binary64 |
| 84× | distribute-lft-neg-in_binary64 |
| 82× | associate-/r*_binary64 |
| 81× | cube-div_binary64 |
| 78× | cube-prod_binary64 |
| 72× | cancel-sign-sub-inv_binary64 |
| 71× | exp-prod_binary64 |
| 68× | times-frac_binary64 |
| 63× | distribute-rgt-in_binary64 |
| 58× | distribute-lft-in_binary64 |
| 49× | associate--l+_binary64 |
| 48× | distribute-rgt-neg-out_binary64 |
| 45× | swap-sqr_binary64 |
| 44× | distribute-lft-neg-out_binary64 |
| 42× | sub-neg_binary64 associate-+l-_binary64 |
| 38× | distribute-neg-frac_binary64 associate-/r/_binary64 associate-+r-_binary64 |
| 32× | associate--r+_binary64 |
| 28× | div-sub_binary64 |
| 27× | neg-sub0_binary64 associate-+r+_binary64 |
| 26× | associate-+l+_binary64 |
| 22× | *-rgt-identity_binary64 associate-/l/_binary64 |
| 21× | *-lft-identity_binary64 |
| 20× | neg-mul-1_binary64 distribute-neg-in_binary64 |
| 15× | /-rgt-identity_binary64 pow-sqr_binary64 |
| 14× | log-pow_binary64 |
| 13× | unpow3_binary64 distribute-frac-neg_binary64 |
| 12× | cube-mult_binary64 |
| 11× | cube-unmult_binary64 +-commutative_binary64 |
| 10× | log-rec_binary64 associate--l-_binary64 |
| 8× | pow-plus_binary64 |
| 7× | associate--r-_binary64 |
| 6× | unsub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64 |
| 4× | rem-sqrt-square_binary64 |
| 3× | +-rgt-identity_binary64 |
| 2× | unpow1/3_binary64 exp-diff_binary64 cube-neg_binary64 sqr-neg_binary64 div0_binary64 distribute-rgt-out--_binary64 |
| 1× | unpow1/2_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 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 pow-base-0_binary64 unpow2_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 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1546 |
| 1 | 296 | 1019 |
| 2 | 918 | 1019 |
| 3 | 2767 | 1019 |
| 4 | 4654 | 1019 |
| 5 | 4989 | 1019 |
| 6 | 4999 | 1019 |
| 7 | 4973 | 1019 |
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 1 | 80 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 79 | 7 | 86 |
Compiled 639 to 173 computations (72.9% saved)
Total 1.2b remaining (98.7%)
Threshold costs 0b (0%)
Compiled 3443 to 2252 computations (34.6% saved)
Compiled 3 to 4 computations (-33.3% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 26 | 63 |
| 2 | 26 | 63 |
(sort x y)
Compiled 123 to 63 computations (48.8% saved)
| 1× | intervals |
| 191.0ms | 8000× | body | 128 | valid |
| 15.0ms | 700× | body | 128 | invalid |
Compiled 131 to 104 computations (20.6% saved)
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