Time bar (total: 4.8s)
| 1× | search |
| 2× | egg-herbie |
| 11× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 4× | distribute-lft-out_binary64 associate-+l+_binary64 |
| 2× | distribute-rgt-out_binary64 |
| 1× | swap-x-y swap-x-z |
| 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-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+r+_binary64 swap-y-z |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 36 | 72 |
| 2 | 40 | 72 |
| 3 | 38 | 72 |
| 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 |
| 6.2% | 93.6% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 15.6% | 84.3% | 0.1% | 8 |
| 18.7% | 71.8% | 9.5% | 9 |
| 23.4% | 56% | 20.6% | 10 |
| 26.3% | 52.2% | 21.5% | 11 |
| 31% | 40.1% | 28.9% | 12 |
| 35.6% | 28.9% | 35.5% | 13 |
| 36.8% | 27.5% | 35.7% | 14 |
(sort x y z)
Compiled 15 to 12 computations (20% saved)
| 1× | intervals |
| 11.0ms | 256× | body | 128 | valid |
| 3.0ms | 81× | body | 128 | nan |
Compiled 29 to 26 computations (10.3% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 +-commutative_binary64 |
| 5× | distribute-rgt-out_binary64 |
| 3× | 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-*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 | 12 | 18 |
| 1 | 22 | 18 |
| 2 | 32 | 18 |
| 3 | 38 | 18 |
| 4 | 38 | 18 |
| 5 | 38 | 18 |
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 24 to 20 computations (16.7% saved)
Found 3 expressions with local error:
| 0.0b | (*.f64 x (+.f64 y z)) |
| 1.4b | (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) |
| 19.6b | (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 9× | add-sqr-sqrt_binary64 |
| 8× | *-un-lft-identity_binary64 |
| 6× | pow1_binary64 add-cube-cbrt_binary64 |
| 5× | add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 4× | associate-*r*_binary64 |
| 3× | flip3-+_binary64 flip-+_binary64 sqrt-prod_binary64 associate-*l*_binary64 |
| 2× | sqrt-div_binary64 distribute-rgt-in_binary64 associate-+l+_binary64 distribute-lft-in_binary64 associate-*r/_binary64 |
| 1× | pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 sum-log_binary64 +-commutative_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-lft-out_binary64 *-commutative_binary64 |
3 calls:
| 7.0ms | (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) |
| 7.0ms | (*.f64 x (+.f64 y z)) |
| 7.0ms | (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) |
Compiled 974 to 297 computations (69.5% saved)
3 calls:
| 51.0ms | (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) |
| 36.0ms | (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) |
| 28.0ms | (*.f64 x (+.f64 y z)) |
Compiled 1589 to 1211 computations (23.8% saved)
| 1× | egg-herbie |
| 521× | distribute-rgt-in_binary64 |
| 512× | cancel-sign-sub-inv_binary64 |
| 490× | distribute-lft-in_binary64 |
| 301× | *-commutative_binary64 |
| 224× | sub-neg_binary64 |
| 202× | times-frac_binary64 |
| 167× | distribute-rgt-neg-in_binary64 |
| 157× | distribute-rgt-out_binary64 |
| 143× | unsub-neg_binary64 |
| 141× | neg-mul-1_binary64 |
| 137× | associate-+l+_binary64 |
| 136× | neg-sub0_binary64 |
| 135× | distribute-lft-neg-in_binary64 |
| 127× | associate-+r+_binary64 |
| 125× | associate-*l*_binary64 |
| 116× | unswap-sqr_binary64 |
| 115× | associate-*l/_binary64 |
| 112× | associate-*r*_binary64 |
| 98× | distribute-neg-in_binary64 |
| 67× | associate--r+_binary64 |
| 64× | sqr-pow_binary64 +-commutative_binary64 |
| 59× | associate--l+_binary64 |
| 51× | associate-/r*_binary64 |
| 42× | associate-*r/_binary64 |
| 39× | associate-/l*_binary64 |
| 38× | exp-prod_binary64 distribute-rgt-out--_binary64 |
| 35× | distribute-lft-out_binary64 |
| 34× | *-lft-identity_binary64 distribute-lft-neg-out_binary64 |
| 32× | *-rgt-identity_binary64 |
| 21× | exp-sum_binary64 |
| 16× | swap-sqr_binary64 associate-/l/_binary64 |
| 14× | associate-+r-_binary64 |
| 13× | log-prod_binary64 cube-prod_binary64 +-rgt-identity_binary64 associate-/r/_binary64 associate--r-_binary64 |
| 12× | distribute-rgt-neg-out_binary64 associate-+l-_binary64 |
| 10× | pow-sqr_binary64 |
| 8× | unpow3_binary64 distribute-lft-out--_binary64 |
| 6× | cube-unmult_binary64 rem-sqrt-square_binary64 |
| 5× | unpow1/2_binary64 div-sub_binary64 sub0-neg_binary64 |
| 4× | cube-mult_binary64 cube-div_binary64 difference-of-squares_binary64 |
| 3× | log-pow_binary64 pow-plus_binary64 count-2_binary64 |
| 2× | unpow2_binary64 /-rgt-identity_binary64 distribute-neg-frac_binary64 associate--l-_binary64 |
| 1× | unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 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 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-rft_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 --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 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 1355 |
| 1 | 368 | 1313 |
| 2 | 1113 | 1277 |
| 3 | 3185 | 1271 |
| 4 | 4477 | 1271 |
| 5 | 4965 | 1271 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 13 | 75 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 63 | 13 | 76 |
Compiled 1104 to 454 computations (58.9% saved)
Found 3 expressions with local error:
| 0.0b | (*.f64 x (+.f64 z y)) |
| 1.4b | (+.f64 (pow.f64 (*.f64 x (+.f64 z y)) 1) (*.f64 y z)) |
| 19.6b | (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 z y)) 1) (*.f64 y z))) |
| 1× | rewrite-expression-head |
| 9× | add-sqr-sqrt_binary64 |
| 8× | *-un-lft-identity_binary64 |
| 6× | pow1_binary64 add-cube-cbrt_binary64 |
| 5× | add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 4× | associate-*r*_binary64 |
| 3× | flip3-+_binary64 flip-+_binary64 sqrt-prod_binary64 associate-*l*_binary64 |
| 2× | sqrt-div_binary64 associate-*r/_binary64 |
| 1× | pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 sum-log_binary64 +-commutative_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 distribute-lft-out_binary64 *-commutative_binary64 |
3 calls:
| 6.0ms | (*.f64 x (+.f64 z y)) |
| 5.0ms | (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 z y)) 1) (*.f64 y z))) |
| 5.0ms | (+.f64 (pow.f64 (*.f64 x (+.f64 z y)) 1) (*.f64 y z)) |
Compiled 1080 to 487 computations (54.9% saved)
3 calls:
| 52.0ms | (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 z y)) 1) (*.f64 y z))) |
| 40.0ms | (+.f64 (pow.f64 (*.f64 x (+.f64 z y)) 1) (*.f64 y z)) |
| 29.0ms | (*.f64 x (+.f64 z y)) |
Compiled 1645 to 1267 computations (23% saved)
| 1× | egg-herbie |
| 543× | distribute-rgt-in_binary64 |
| 537× | cancel-sign-sub-inv_binary64 |
| 518× | distribute-lft-in_binary64 |
| 322× | *-commutative_binary64 |
| 212× | sub-neg_binary64 |
| 192× | unswap-sqr_binary64 |
| 188× | distribute-rgt-neg-in_binary64 |
| 163× | distribute-rgt-out_binary64 |
| 158× | neg-mul-1_binary64 |
| 155× | distribute-lft-neg-in_binary64 |
| 153× | neg-sub0_binary64 |
| 148× | unsub-neg_binary64 |
| 138× | times-frac_binary64 |
| 137× | associate-+l+_binary64 |
| 131× | associate-*l*_binary64 |
| 127× | associate-+r+_binary64 |
| 117× | associate-*r*_binary64 |
| 102× | distribute-neg-in_binary64 |
| 73× | sqr-pow_binary64 |
| 67× | associate--r+_binary64 |
| 62× | +-commutative_binary64 |
| 59× | associate--l+_binary64 |
| 42× | exp-prod_binary64 |
| 40× | pow-sqr_binary64 distribute-rgt-out--_binary64 |
| 35× | *-lft-identity_binary64 distribute-lft-neg-out_binary64 |
| 34× | *-rgt-identity_binary64 |
| 23× | distribute-lft-out_binary64 |
| 22× | exp-sum_binary64 associate-/r*_binary64 |
| 17× | log-prod_binary64 |
| 16× | swap-sqr_binary64 |
| 14× | cube-prod_binary64 associate-+r-_binary64 |
| 13× | +-rgt-identity_binary64 |
| 12× | associate-+l-_binary64 |
| 11× | distribute-rgt-neg-out_binary64 |
| 9× | log-pow_binary64 unpow3_binary64 pow-plus_binary64 |
| 8× | cube-unmult_binary64 |
| 7× | rem-sqrt-square_binary64 |
| 6× | unpow1/2_binary64 associate-/l*_binary64 |
| 5× | sub0-neg_binary64 distribute-lft-out--_binary64 |
| 4× | cube-mult_binary64 /-rgt-identity_binary64 difference-of-squares_binary64 associate-/r/_binary64 |
| 2× | log-div_binary64 unpow2_binary64 unpow1_binary64 cube-div_binary64 remove-double-neg_binary64 distribute-neg-frac_binary64 count-2_binary64 associate--l-_binary64 |
| 1× | prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 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 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-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_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-/l/_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1317 |
| 1 | 367 | 1275 |
| 2 | 1153 | 1245 |
| 3 | 3331 | 1245 |
| 4 | 4512 | 1245 |
| 5 | 4998 | 1245 |
| 6 | 4908 | 1245 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 2 | 65 |
| Fresh | 2 | 10 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 66 | 12 | 78 |
Compiled 954 to 429 computations (55% saved)
Found 4 expressions with local error:
| 1.4b | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
| 1.4b | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
| 19.6b | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
| 19.6b | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
| 1× | rewrite-expression-head |
| 8× | add-log-exp_binary64 add-sqr-sqrt_binary64 |
| 6× | pow1_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64 *-un-lft-identity_binary64 |
| 4× | add-exp-log_binary64 add-cbrt-cube_binary64 flip3-+_binary64 sqrt-div_binary64 flip-+_binary64 associate-+r+_binary64 |
| 2× | pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 sum-log_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 +-commutative_binary64 |
4 calls:
| 7.0ms | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
| 4.0ms | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
Compiled 1914 to 333 computations (82.6% saved)
4 calls:
| 54.0ms | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
| 54.0ms | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
| 44.0ms | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
| 43.0ms | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
Compiled 3820 to 2544 computations (33.4% saved)
| 1× | egg-herbie |
| 439× | associate-*l*_binary64 |
| 418× | distribute-rgt-in_binary64 |
| 412× | distribute-rgt-out_binary64 |
| 395× | distribute-lft-in_binary64 |
| 363× | associate-*r*_binary64 |
| 241× | distribute-lft-out_binary64 |
| 211× | distribute-rgt-neg-in_binary64 |
| 191× | distribute-lft-neg-in_binary64 |
| 163× | sub-neg_binary64 |
| 148× | *-commutative_binary64 |
| 137× | cancel-sign-sub-inv_binary64 |
| 122× | unswap-sqr_binary64 |
| 100× | distribute-neg-in_binary64 |
| 90× | associate-+l+_binary64 |
| 88× | distribute-rgt-out--_binary64 |
| 70× | associate-+r+_binary64 |
| 66× | unsub-neg_binary64 |
| 61× | distribute-lft-neg-out_binary64 |
| 59× | associate--r+_binary64 |
| 55× | associate--l+_binary64 |
| 53× | neg-sub0_binary64 sqr-pow_binary64 |
| 50× | +-commutative_binary64 |
| 47× | neg-mul-1_binary64 distribute-lft-out--_binary64 |
| 39× | distribute-rgt-neg-out_binary64 |
| 22× | swap-sqr_binary64 |
| 21× | exp-prod_binary64 |
| 17× | associate-/r*_binary64 |
| 12× | exp-sum_binary64 |
| 11× | associate-+l-_binary64 |
| 10× | associate-+r-_binary64 |
| 9× | +-rgt-identity_binary64 pow-sqr_binary64 |
| 8× | cube-prod_binary64 |
| 7× | unpow3_binary64 cube-unmult_binary64 |
| 6× | cube-mult_binary64 |
| 4× | sub0-neg_binary64 |
| 3× | pow-plus_binary64 prod-exp_binary64 rem-sqrt-square_binary64 |
| 2× | difference-of-squares_binary64 associate-/l*_binary64 associate--l-_binary64 |
| 1× | log-prod_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-square-sqrt_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 log-rec_binary64 log-div_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 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 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 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 2020 |
| 1 | 265 | 1942 |
| 2 | 814 | 1888 |
| 3 | 2991 | 1876 |
| 4 | 5103 | 1876 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 2 | 78 |
| Fresh | 0 | 11 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 13 | 90 |
Compiled 2030 to 551 computations (72.9% saved)
Found 4 expressions with local error:
| 1.4b | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
| 1.6b | (+.f64 (*.f64 (+.f64 x z) y) (*.f64 x z)) |
| 19.6b | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
| 19.6b | (sqrt.f64 (+.f64 (*.f64 (+.f64 x z) y) (*.f64 x z))) |
| 1× | rewrite-expression-head |
| 8× | add-log-exp_binary64 add-sqr-sqrt_binary64 |
| 6× | pow1_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64 *-un-lft-identity_binary64 |
| 4× | add-exp-log_binary64 add-cbrt-cube_binary64 flip3-+_binary64 sqrt-div_binary64 flip-+_binary64 |
| 2× | pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 sum-log_binary64 +-commutative_binary64 associate-+r+_binary64 |
| 1× | distribute-rgt-in_binary64 distribute-lft-in_binary64 |
4 calls:
| 7.0ms | (sqrt.f64 (+.f64 (*.f64 (+.f64 x z) y) (*.f64 x z))) |
| 7.0ms | (+.f64 (*.f64 (+.f64 x z) y) (*.f64 x z)) |
| 5.0ms | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
Compiled 1860 to 398 computations (78.6% saved)
4 calls:
| 55.0ms | (sqrt.f64 (+.f64 (*.f64 (+.f64 x z) y) (*.f64 x z))) |
| 52.0ms | (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))) |
| 44.0ms | (+.f64 (*.f64 (+.f64 x z) y) (*.f64 x z)) |
| 43.0ms | (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))) |
Compiled 3820 to 2523 computations (34% saved)
| 1× | egg-herbie |
| 720× | associate-*l*_binary64 |
| 649× | distribute-rgt-in_binary64 |
| 597× | distribute-lft-in_binary64 |
| 565× | associate-*r*_binary64 |
| 561× | cancel-sign-sub-inv_binary64 |
| 216× | unswap-sqr_binary64 |
| 96× | distribute-rgt-neg-in_binary64 |
| 88× | sub-neg_binary64 |
| 83× | *-commutative_binary64 |
| 80× | neg-sub0_binary64 distribute-lft-neg-in_binary64 |
| 74× | sqr-pow_binary64 |
| 72× | neg-mul-1_binary64 |
| 66× | unsub-neg_binary64 |
| 63× | distribute-rgt-out_binary64 |
| 48× | distribute-neg-in_binary64 |
| 35× | +-commutative_binary64 |
| 33× | distribute-lft-out_binary64 |
| 24× | distribute-rgt-out--_binary64 |
| 23× | distribute-lft-neg-out_binary64 |
| 22× | exp-prod_binary64 |
| 17× | associate-/r*_binary64 |
| 15× | pow-sqr_binary64 |
| 14× | exp-sum_binary64 cube-prod_binary64 swap-sqr_binary64 associate-+l+_binary64 |
| 12× | associate--l+_binary64 associate--r+_binary64 |
| 11× | cube-unmult_binary64 |
| 10× | unpow3_binary64 |
| 9× | cube-mult_binary64 |
| 8× | distribute-lft-out--_binary64 associate-+r+_binary64 |
| 7× | distribute-rgt-neg-out_binary64 |
| 5× | rem-sqrt-square_binary64 |
| 3× | pow-plus_binary64 |
| 2× | log-prod_binary64 prod-exp_binary64 rem-square-sqrt_binary64 difference-of-squares_binary64 associate-/l*_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 1× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_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 log-rec_binary64 log-div_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 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 div-sub_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_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 | 143 | 2012 |
| 1 | 368 | 1934 |
| 2 | 1171 | 1874 |
| 3 | 4310 | 1874 |
| 4 | 5415 | 1874 |
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 1 | 86 |
| Fresh | 0 | 12 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 85 | 14 | 99 |
Compiled 1712 to 415 computations (75.8% saved)
Total 0.9b remaining (4.7%)
Threshold costs 0.9b (4.7%)
Compiled 17263 to 11023 computations (36.1% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 1× | unpow1_binary64 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 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 | 13 | 18 |
| 1 | 20 | 18 |
| 2 | 19 | 18 |
(sort x y z)
Compiled 36 to 30 computations (16.7% saved)
| 1× | intervals |
| 347.0ms | 8000× | body | 128 | valid |
| 102.0ms | 2292× | body | 128 | nan |
Compiled 429 to 287 computations (33.1% saved)
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