Time bar (total: 10.4s)
| 1× | search |
| 2× | egg-herbie |
| 700× | sub-neg_binary64_12006 |
| 457× | div-sub_binary64_12018 |
| 365× | neg-mul-1_binary64_12009 |
| 364× | distribute-rgt-in_binary64_11963 |
| 357× | associate-/l*_binary64_11958 |
| 340× | times-frac_binary64_12019 |
| 327× | neg-sub0_binary64_12008 |
| 325× | cancel-sign-sub-inv_binary64_11979 |
| 315× | sqr-pow_binary64_11985 |
| 309× | distribute-lft-in_binary64_11962 |
| 268× | distribute-rgt-neg-in_binary64_11971 |
| 222× | distribute-lft-neg-in_binary64_11970 |
| 198× | pow-sqr_binary64_11986 |
| 185× | associate-/l/_binary64_11960 |
| 165× | associate-/r*_binary64_11957 |
| 153× | associate-/r/_binary64_11959 |
| 142× | distribute-neg-in_binary64_11974 |
| 135× | associate--r+_binary64_11949 *-commutative_binary64_11944 |
| 132× | rem-sqrt-square_binary64_12026 |
| 130× | distribute-lft-neg-out_binary64_11972 |
| 127× | associate--l+_binary64_11950 |
| 126× | distribute-frac-neg_binary64_11976 |
| 125× | unsub-neg_binary64_12007 |
| 124× | distribute-rgt-neg-out_binary64_11973 |
| 121× | distribute-neg-frac_binary64_11977 |
| 120× | unswap-sqr_binary64_11981 |
| 92× | associate--l-_binary64_11951 |
| 90× | *-lft-identity_binary64_12002 |
| 86× | associate--r-_binary64_11952 |
| 84× | swap-sqr_binary64_11980 |
| 74× | associate-*l/_binary64_11956 |
| 73× | remove-double-neg_binary64_12001 associate-*r*_binary64_11953 |
| 71× | +-commutative_binary64_11943 |
| 64× | associate-*l*_binary64_11954 |
| 60× | sqr-neg_binary64_12027 *-rgt-identity_binary64_12003 |
| 44× | /-rgt-identity_binary64_12004 |
| 35× | +-rgt-identity_binary64_11998 associate-+l-_binary64_11948 |
| 32× | associate-*r/_binary64_11955 |
| 25× | +-lft-identity_binary64_11997 |
| 24× | exp-prod_binary64_12065 |
| 21× | cancel-sign-sub_binary64_11978 |
| 19× | sub0-neg_binary64_12000 |
| 18× | mul-1-neg_binary64_12005 mul0-rgt_binary64_11996 mul0-lft_binary64_11995 |
| 17× | associate-+l+_binary64_11946 |
| 16× | distribute-neg-out_binary64_11975 |
| 15× | div0_binary64_11994 |
| 12× | distribute-rgt-out--_binary64_11967 |
| 11× | associate-+r+_binary64_11945 |
| 8× | distribute-lft-out--_binary64_11965 distribute-lft-out_binary64_11964 |
| 7× | remove-double-div_binary64_11989 associate-+r-_binary64_11947 |
| 6× | unpow1/2_binary64_12077 --rgt-identity_binary64_11999 |
| 3× | rec-exp_binary64_12063 exp-diff_binary64_12061 exp-sum_binary64_12059 |
| 1× | 1-exp_binary64_12057 exp-1-e_binary64_12056 |
| 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_12276 erf-erfc_binary64_12275 erf-odd_binary64_12274 if-if-and-not_binary64_12273 if-if-and_binary64_12272 if-if-or-not_binary64_12271 if-if-or_binary64_12270 if-not_binary64_12269 if-same_binary64_12268 if-false_binary64_12267 if-true_binary64_12266 not-gte_binary64_12265 not-lte_binary64_12264 not-gt_binary64_12263 not-lt_binary64_12262 gte-same_binary64_12261 lte-same_binary64_12260 gt-same_binary64_12259 lt-same_binary64_12258 sinh---cosh_binary64_12205 sinh-+-cosh_binary64_12204 sinh-cosh_binary64_12203 tanh-def-c_binary64_12202 tanh-def-b_binary64_12201 tanh-def-a_binary64_12200 cosh-def_binary64_12199 sinh-def_binary64_12198 tan-neg_binary64_12145 cos-neg_binary64_12144 sin-neg_binary64_12143 tan-0_binary64_12142 cos-0_binary64_12141 sin-0_binary64_12140 hang-m-tan_binary64_12139 hang-p-tan_binary64_12138 hang-m0-tan_binary64_12137 hang-p0-tan_binary64_12136 hang-0m-tan_binary64_12135 hang-0p-tan_binary64_12134 tan-+PI/2_binary64_12133 tan-+PI_binary64_12132 tan-PI_binary64_12131 tan-PI/3_binary64_12130 tan-PI/4_binary64_12129 tan-PI/6_binary64_12128 cos-+PI/2_binary64_12127 cos-+PI_binary64_12126 cos-PI_binary64_12125 cos-PI/2_binary64_12124 cos-PI/3_binary64_12123 cos-PI/4_binary64_12122 cos-PI/6_binary64_12121 sin-+PI/2_binary64_12120 sin-+PI_binary64_12119 sin-PI_binary64_12118 sin-PI/2_binary64_12117 sin-PI/3_binary64_12116 sin-PI/4_binary64_12115 sin-PI/6_binary64_12114 sub-1-sin_binary64_12113 sub-1-cos_binary64_12112 -1-add-sin_binary64_12111 -1-add-cos_binary64_12110 1-sub-sin_binary64_12109 1-sub-cos_binary64_12108 cos-sin-sum_binary64_12107 log-E_binary64_12103 log-pow_binary64_12102 log-rec_binary64_12101 log-div_binary64_12100 log-prod_binary64_12099 pow-base-0_binary64_12097 unpow1/3_binary64_12080 unpow3_binary64_12079 unpow2_binary64_12078 pow-plus_binary64_12076 exp-to-pow_binary64_12075 pow-base-1_binary64_12073 unpow0_binary64_12072 unpow1_binary64_12071 unpow-1_binary64_12070 exp-lft-cube_binary64_12069 exp-lft-sqr_binary64_12068 exp-cbrt_binary64_12067 exp-sqrt_binary64_12066 div-exp_binary64_12064 prod-exp_binary64_12062 exp-neg_binary64_12060 e-exp-1_binary64_12058 exp-0_binary64_12055 rem-log-exp_binary64_12054 rem-exp-log_binary64_12053 cube-unmult_binary64_12050 cube-mult_binary64_12043 cube-div_binary64_12042 cube-prod_binary64_12041 cube-neg_binary64_12040 rem-3cbrt-rft_binary64_12039 rem-3cbrt-lft_binary64_12038 rem-cbrt-cube_binary64_12037 rem-cube-cbrt_binary64_12036 sqr-abs_binary64_12028 rem-square-sqrt_binary64_12025 *-inverses_binary64_11993 +-inverses_binary64_11992 lft-mult-inverse_binary64_11991 rgt-mult-inverse_binary64_11990 difference-of-sqr--1_binary64_11984 difference-of-sqr-1_binary64_11983 difference-of-squares_binary64_11982 distribute-rgt1-in_binary64_11969 distribute-lft1-in_binary64_11968 distribute-rgt-out_binary64_11966 count-2_binary64_11961 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 52 | 72 |
| 2 | 73 | 72 |
| 3 | 97 | 72 |
| 4 | 151 | 72 |
| 5 | 194 | 72 |
| 6 | 284 | 72 |
| 7 | 406 | 72 |
| 8 | 559 | 72 |
| 9 | 717 | 72 |
| 10 | 1057 | 72 |
| 11 | 1727 | 72 |
| 12 | 2208 | 72 |
| 13 | 3065 | 72 |
| 14 | 3517 | 72 |
| 15 | 4220 | 72 |
| 16 | 4955 | 72 |
| 17 | 4862 | 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 |
| 25% | 74.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.4% | 62.4% | 0.1% | 6 |
| 46.8% | 53% | 0.1% | 7 |
| 52.3% | 47.6% | 0.1% | 8 |
| 65.5% | 34.3% | 0.1% | 9 |
| 71% | 28.9% | 0.1% | 10 |
| 75% | 24.9% | 0.1% | 11 |
| 81.6% | 18.2% | 0.1% | 12 |
| 84.5% | 15.4% | 0.1% | 13 |
| 86.9% | 13% | 0.1% | 14 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | intervals |
| 13.0ms | 256× | body | 128 | valid |
Compiled 25 to 24 computations (4% saved)
| 1× | egg-herbie |
| 1059× | div-sub_binary64_12018 |
| 943× | cancel-sign-sub-inv_binary64_11979 |
| 520× | unswap-sqr_binary64_11981 |
| 430× | distribute-rgt-in_binary64_11963 |
| 411× | sub-neg_binary64_12006 |
| 390× | associate-/l*_binary64_11958 |
| 356× | unsub-neg_binary64_12007 |
| 351× | associate-/r*_binary64_11957 |
| 338× | distribute-lft-in_binary64_11962 |
| 334× | associate-/l/_binary64_11960 |
| 302× | *-commutative_binary64_11944 |
| 257× | times-frac_binary64_12019 |
| 245× | distribute-neg-frac_binary64_11977 |
| 242× | neg-mul-1_binary64_12009 |
| 238× | associate-*r*_binary64_11953 |
| 232× | neg-sub0_binary64_12008 |
| 185× | associate-*l*_binary64_11954 |
| 181× | distribute-rgt-neg-in_binary64_11971 |
| 156× | associate-/r/_binary64_11959 |
| 142× | distribute-rgt-neg-out_binary64_11973 |
| 138× | distribute-lft-neg-in_binary64_11970 |
| 133× | sqr-pow_binary64_11985 |
| 122× | distribute-lft-neg-out_binary64_11972 |
| 104× | distribute-frac-neg_binary64_11976 |
| 101× | *-lft-identity_binary64_12002 |
| 86× | pow-sqr_binary64_11986 |
| 77× | mul0-rgt_binary64_11996 |
| 75× | mul0-lft_binary64_11995 |
| 68× | associate--r+_binary64_11949 |
| 60× | associate-*l/_binary64_11956 |
| 54× | div0_binary64_11994 |
| 53× | cube-prod_binary64_12041 |
| 48× | associate-*r/_binary64_11955 |
| 43× | +-lft-identity_binary64_11997 |
| 35× | distribute-rgt-out--_binary64_11967 |
| 34× | swap-sqr_binary64_11980 |
| 33× | associate--r-_binary64_11952 |
| 30× | associate--l-_binary64_11951 +-commutative_binary64_11943 |
| 27× | remove-double-neg_binary64_12001 |
| 26× | distribute-neg-in_binary64_11974 |
| 18× | remove-double-div_binary64_11989 |
| 16× | cube-unmult_binary64_12050 /-rgt-identity_binary64_12004 distribute-rgt-out_binary64_11966 |
| 14× | sqr-neg_binary64_12027 *-rgt-identity_binary64_12003 |
| 12× | associate-+l-_binary64_11948 |
| 11× | pow-plus_binary64_12076 |
| 9× | unpow3_binary64_12079 associate--l+_binary64_11950 |
| 8× | exp-prod_binary64_12065 sub0-neg_binary64_12000 distribute-neg-out_binary64_11975 |
| 7× | cancel-sign-sub_binary64_11978 |
| 6× | cube-neg_binary64_12040 mul-1-neg_binary64_12005 |
| 5× | --rgt-identity_binary64_11999 associate-+l+_binary64_11946 associate-+r+_binary64_11945 |
| 4× | unpow2_binary64_12078 |
| 3× | rec-exp_binary64_12063 |
| 2× | *-inverses_binary64_11993 lft-mult-inverse_binary64_11991 distribute-lft-out--_binary64_11965 distribute-lft-out_binary64_11964 associate-+r-_binary64_11947 |
| 1× | unpow1/2_binary64_12077 exp-diff_binary64_12061 1-exp_binary64_12057 exp-1-e_binary64_12056 cube-mult_binary64_12043 +-rgt-identity_binary64_11998 |
| 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_12276 erf-erfc_binary64_12275 erf-odd_binary64_12274 if-if-and-not_binary64_12273 if-if-and_binary64_12272 if-if-or-not_binary64_12271 if-if-or_binary64_12270 if-not_binary64_12269 if-same_binary64_12268 if-false_binary64_12267 if-true_binary64_12266 not-gte_binary64_12265 not-lte_binary64_12264 not-gt_binary64_12263 not-lt_binary64_12262 gte-same_binary64_12261 lte-same_binary64_12260 gt-same_binary64_12259 lt-same_binary64_12258 sinh---cosh_binary64_12205 sinh-+-cosh_binary64_12204 sinh-cosh_binary64_12203 tanh-def-c_binary64_12202 tanh-def-b_binary64_12201 tanh-def-a_binary64_12200 cosh-def_binary64_12199 sinh-def_binary64_12198 tan-neg_binary64_12145 cos-neg_binary64_12144 sin-neg_binary64_12143 tan-0_binary64_12142 cos-0_binary64_12141 sin-0_binary64_12140 hang-m-tan_binary64_12139 hang-p-tan_binary64_12138 hang-m0-tan_binary64_12137 hang-p0-tan_binary64_12136 hang-0m-tan_binary64_12135 hang-0p-tan_binary64_12134 tan-+PI/2_binary64_12133 tan-+PI_binary64_12132 tan-PI_binary64_12131 tan-PI/3_binary64_12130 tan-PI/4_binary64_12129 tan-PI/6_binary64_12128 cos-+PI/2_binary64_12127 cos-+PI_binary64_12126 cos-PI_binary64_12125 cos-PI/2_binary64_12124 cos-PI/3_binary64_12123 cos-PI/4_binary64_12122 cos-PI/6_binary64_12121 sin-+PI/2_binary64_12120 sin-+PI_binary64_12119 sin-PI_binary64_12118 sin-PI/2_binary64_12117 sin-PI/3_binary64_12116 sin-PI/4_binary64_12115 sin-PI/6_binary64_12114 sub-1-sin_binary64_12113 sub-1-cos_binary64_12112 -1-add-sin_binary64_12111 -1-add-cos_binary64_12110 1-sub-sin_binary64_12109 1-sub-cos_binary64_12108 cos-sin-sum_binary64_12107 log-E_binary64_12103 log-pow_binary64_12102 log-rec_binary64_12101 log-div_binary64_12100 log-prod_binary64_12099 pow-base-0_binary64_12097 unpow1/3_binary64_12080 exp-to-pow_binary64_12075 pow-base-1_binary64_12073 unpow0_binary64_12072 unpow1_binary64_12071 unpow-1_binary64_12070 exp-lft-cube_binary64_12069 exp-lft-sqr_binary64_12068 exp-cbrt_binary64_12067 exp-sqrt_binary64_12066 div-exp_binary64_12064 prod-exp_binary64_12062 exp-neg_binary64_12060 exp-sum_binary64_12059 e-exp-1_binary64_12058 exp-0_binary64_12055 rem-log-exp_binary64_12054 rem-exp-log_binary64_12053 cube-div_binary64_12042 rem-3cbrt-rft_binary64_12039 rem-3cbrt-lft_binary64_12038 rem-cbrt-cube_binary64_12037 rem-cube-cbrt_binary64_12036 sqr-abs_binary64_12028 rem-sqrt-square_binary64_12026 rem-square-sqrt_binary64_12025 +-inverses_binary64_11992 rgt-mult-inverse_binary64_11990 difference-of-sqr--1_binary64_11984 difference-of-sqr-1_binary64_11983 difference-of-squares_binary64_11982 distribute-rgt1-in_binary64_11969 distribute-lft1-in_binary64_11968 count-2_binary64_11961 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 19 | 18 |
| 2 | 29 | 18 |
| 3 | 41 | 18 |
| 4 | 59 | 18 |
| 5 | 81 | 18 |
| 6 | 116 | 18 |
| 7 | 158 | 18 |
| 8 | 212 | 18 |
| 9 | 228 | 18 |
| 10 | 288 | 18 |
| 11 | 458 | 18 |
| 12 | 765 | 18 |
| 13 | 1263 | 18 |
| 14 | 1205 | 18 |
| 15 | 1347 | 18 |
| 16 | 1253 | 18 |
| 17 | 1281 | 18 |
| 18 | 1473 | 18 |
| 19 | 2174 | 18 |
| 20 | 2259 | 18 |
| 21 | 3190 | 18 |
| 22 | 4245 | 18 |
| 23 | 5305 | 18 |
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 12 to 10 computations (16.7% saved)
Found 4 expressions with local error:
| 0.0b | (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) |
| 0.0b | (+.f64 x (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))) |
| 0.6b | (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)) |
| 4.6b | (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) |
| 1× | rewrite-expression-head |
| 16× | add-sqr-sqrt_binary64_12035 *-un-lft-identity_binary64_12013 |
| 14× | add-cube-cbrt_binary64_12048 |
| 9× | times-frac_binary64_12019 |
| 8× | add-log-exp_binary64_12052 add-cbrt-cube_binary64_12049 |
| 7× | add-exp-log_binary64_12051 |
| 6× | pow1_binary64_12074 |
| 3× | associate-/l*_binary64_11958 associate-/r*_binary64_11957 associate-*l*_binary64_11954 associate-*r*_binary64_11953 |
| 2× | flip3--_binary64_12017 associate-/r/_binary64_11959 flip--_binary64_11988 |
| 1× | div-exp_binary64_12064 cbrt-undiv_binary64_12047 frac-2neg_binary64_12024 clear-num_binary64_12012 div-inv_binary64_12010 diff-log_binary64_12105 sub-neg_binary64_12006 cancel-sign-sub-inv_binary64_11979 sum-log_binary64_12104 flip3-+_binary64_12016 flip-+_binary64_11987 distribute-lft-out_binary64_11964 +-commutative_binary64_11943 pow-prod-down_binary64_12084 prod-exp_binary64_12062 cbrt-unprod_binary64_12046 unswap-sqr_binary64_11981 *-commutative_binary64_11944 |
4 calls:
| 10.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))) |
| 7.0ms | (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) |
| 5.0ms | (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) |
| 5.0ms | (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)) |
Compiled 1547 to 746 computations (51.8% saved)
4 calls:
| 292.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))) |
| 270.0ms | (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) |
| 168.0ms | (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)) |
| 30.0ms | (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) |
Compiled 2519 to 1803 computations (28.4% saved)
| 1× | egg-herbie |
| 684× | times-frac_binary64_12019 |
| 544× | associate-/l*_binary64_11958 |
| 320× | associate-/r*_binary64_11957 |
| 193× | associate-*l/_binary64_11956 |
| 147× | cancel-sign-sub-inv_binary64_11979 |
| 144× | associate-/r/_binary64_11959 |
| 129× | associate-/l/_binary64_11960 |
| 112× | distribute-rgt-in_binary64_11963 |
| 101× | sub-neg_binary64_12006 |
| 95× | distribute-lft-in_binary64_11962 |
| 77× | distribute-rgt-neg-in_binary64_11971 |
| 68× | +-commutative_binary64_11943 |
| 66× | distribute-lft-neg-in_binary64_11970 |
| 65× | associate-*r*_binary64_11953 *-commutative_binary64_11944 |
| 61× | associate-*l*_binary64_11954 |
| 59× | unswap-sqr_binary64_11981 |
| 51× | sqr-pow_binary64_11985 |
| 45× | exp-prod_binary64_12065 associate-+l+_binary64_11946 |
| 44× | distribute-neg-frac_binary64_11977 |
| 37× | distribute-rgt-out_binary64_11966 associate--l+_binary64_11950 |
| 35× | associate-+r+_binary64_11945 |
| 33× | neg-mul-1_binary64_12009 neg-sub0_binary64_12008 |
| 30× | associate-*r/_binary64_11955 |
| 25× | associate--r+_binary64_11949 |
| 24× | distribute-neg-in_binary64_11974 |
| 17× | distribute-lft-neg-out_binary64_11972 distribute-lft-out_binary64_11964 |
| 16× | div-sub_binary64_12018 |
| 15× | unsub-neg_binary64_12007 |
| 14× | unpow3_binary64_12079 |
| 9× | log-pow_binary64_12102 log-prod_binary64_12099 |
| 8× | cube-mult_binary64_12043 cube-prod_binary64_12041 *-rgt-identity_binary64_12003 |
| 7× | log-div_binary64_12100 |
| 6× | distribute-rgt-neg-out_binary64_11973 distribute-rgt-out--_binary64_11967 |
| 5× | unpow2_binary64_12078 unpow1/2_binary64_12077 pow-plus_binary64_12076 unpow1_binary64_12071 cube-div_binary64_12042 difference-of-squares_binary64_11982 associate-+r-_binary64_11947 |
| 4× | prod-exp_binary64_12062 /-rgt-identity_binary64_12004 +-rgt-identity_binary64_11998 swap-sqr_binary64_11980 |
| 3× | exp-sum_binary64_12059 |
| 2× | exp-diff_binary64_12061 cube-unmult_binary64_12050 rem-sqrt-square_binary64_12026 pow-sqr_binary64_11986 distribute-rgt1-in_binary64_11969 |
| 1× | div-exp_binary64_12064 1-exp_binary64_12057 rem-log-exp_binary64_12054 *-lft-identity_binary64_12002 remove-double-neg_binary64_12001 *-inverses_binary64_11993 cancel-sign-sub_binary64_11978 distribute-lft1-in_binary64_11968 count-2_binary64_11961 associate--r-_binary64_11952 associate-+l-_binary64_11948 |
| 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_12276 erf-erfc_binary64_12275 erf-odd_binary64_12274 if-if-and-not_binary64_12273 if-if-and_binary64_12272 if-if-or-not_binary64_12271 if-if-or_binary64_12270 if-not_binary64_12269 if-same_binary64_12268 if-false_binary64_12267 if-true_binary64_12266 not-gte_binary64_12265 not-lte_binary64_12264 not-gt_binary64_12263 not-lt_binary64_12262 gte-same_binary64_12261 lte-same_binary64_12260 gt-same_binary64_12259 lt-same_binary64_12258 sinh---cosh_binary64_12205 sinh-+-cosh_binary64_12204 sinh-cosh_binary64_12203 tanh-def-c_binary64_12202 tanh-def-b_binary64_12201 tanh-def-a_binary64_12200 cosh-def_binary64_12199 sinh-def_binary64_12198 tan-neg_binary64_12145 cos-neg_binary64_12144 sin-neg_binary64_12143 tan-0_binary64_12142 cos-0_binary64_12141 sin-0_binary64_12140 hang-m-tan_binary64_12139 hang-p-tan_binary64_12138 hang-m0-tan_binary64_12137 hang-p0-tan_binary64_12136 hang-0m-tan_binary64_12135 hang-0p-tan_binary64_12134 tan-+PI/2_binary64_12133 tan-+PI_binary64_12132 tan-PI_binary64_12131 tan-PI/3_binary64_12130 tan-PI/4_binary64_12129 tan-PI/6_binary64_12128 cos-+PI/2_binary64_12127 cos-+PI_binary64_12126 cos-PI_binary64_12125 cos-PI/2_binary64_12124 cos-PI/3_binary64_12123 cos-PI/4_binary64_12122 cos-PI/6_binary64_12121 sin-+PI/2_binary64_12120 sin-+PI_binary64_12119 sin-PI_binary64_12118 sin-PI/2_binary64_12117 sin-PI/3_binary64_12116 sin-PI/4_binary64_12115 sin-PI/6_binary64_12114 sub-1-sin_binary64_12113 sub-1-cos_binary64_12112 -1-add-sin_binary64_12111 -1-add-cos_binary64_12110 1-sub-sin_binary64_12109 1-sub-cos_binary64_12108 cos-sin-sum_binary64_12107 log-E_binary64_12103 log-rec_binary64_12101 pow-base-0_binary64_12097 unpow1/3_binary64_12080 exp-to-pow_binary64_12075 pow-base-1_binary64_12073 unpow0_binary64_12072 unpow-1_binary64_12070 exp-lft-cube_binary64_12069 exp-lft-sqr_binary64_12068 exp-cbrt_binary64_12067 exp-sqrt_binary64_12066 rec-exp_binary64_12063 exp-neg_binary64_12060 e-exp-1_binary64_12058 exp-1-e_binary64_12056 exp-0_binary64_12055 rem-exp-log_binary64_12053 cube-neg_binary64_12040 rem-3cbrt-rft_binary64_12039 rem-3cbrt-lft_binary64_12038 rem-cbrt-cube_binary64_12037 rem-cube-cbrt_binary64_12036 sqr-abs_binary64_12028 sqr-neg_binary64_12027 rem-square-sqrt_binary64_12025 mul-1-neg_binary64_12005 sub0-neg_binary64_12000 --rgt-identity_binary64_11999 +-lft-identity_binary64_11997 mul0-rgt_binary64_11996 mul0-lft_binary64_11995 div0_binary64_11994 +-inverses_binary64_11992 lft-mult-inverse_binary64_11991 rgt-mult-inverse_binary64_11990 remove-double-div_binary64_11989 difference-of-sqr--1_binary64_11984 difference-of-sqr-1_binary64_11983 distribute-frac-neg_binary64_11976 distribute-neg-out_binary64_11975 distribute-lft-out--_binary64_11965 associate--l-_binary64_11951 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 2764 |
| 1 | 507 | 2702 |
| 2 | 1545 | 2628 |
| 3 | 4947 | 2628 |
| 4 | 4999 | 2628 |
| 5 | 4953 | 2628 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 6 | 106 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 100 | 7 | 107 |
Compiled 2280 to 1156 computations (49.3% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 x (/.f64 1 (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y))) |
| 0.1b | (/.f64 1 (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y)) |
| 0.6b | (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) |
| 4.6b | (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y) |
| 1× | rewrite-expression-head |
| 84× | times-frac_binary64_12019 |
| 57× | *-un-lft-identity_binary64_12013 |
| 54× | add-cube-cbrt_binary64_12048 add-sqr-sqrt_binary64_12035 |
| 17× | add-exp-log_binary64_12051 |
| 16× | associate-/r*_binary64_11957 |
| 11× | add-cbrt-cube_binary64_12049 |
| 8× | div-exp_binary64_12064 add-log-exp_binary64_12052 |
| 7× | div-inv_binary64_12010 |
| 6× | associate-/l*_binary64_11958 |
| 5× | pow1_binary64_12074 |
| 4× | cbrt-undiv_binary64_12047 |
| 2× | frac-2neg_binary64_12024 clear-num_binary64_12012 flip3--_binary64_12017 associate-/l/_binary64_11960 flip--_binary64_11988 1-exp_binary64_12057 rec-exp_binary64_12063 distribute-lft-out_binary64_11964 |
| 1× | div-sub_binary64_12018 diff-log_binary64_12105 sub-neg_binary64_12006 cancel-sign-sub-inv_binary64_11979 inv-pow_binary64_12098 pow-flip_binary64_12087 associate-/r/_binary64_11959 sum-log_binary64_12104 flip3-+_binary64_12016 flip-+_binary64_11987 +-commutative_binary64_11943 |
4 calls:
| 16.0ms | (+.f64 x (/.f64 1 (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y))) |
| 9.0ms | (/.f64 1 (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y)) |
| 7.0ms | (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y) |
| 5.0ms | (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) |
Compiled 3531 to 1915 computations (45.8% saved)
4 calls:
| 307.0ms | (+.f64 x (/.f64 1 (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y))) |
| 273.0ms | (/.f64 1 (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y)) |
| 266.0ms | (/.f64 (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) y) |
| 181.0ms | (-.f64 (*.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)) |
Compiled 2971 to 2189 computations (26.3% saved)
| 1× | egg-herbie |
| 488× | associate-/r/_binary64_11959 |
| 375× | associate-/l/_binary64_11960 |
| 194× | cancel-sign-sub-inv_binary64_11979 |
| 172× | distribute-rgt-in_binary64_11963 |
| 150× | distribute-lft-in_binary64_11962 |
| 142× | div-sub_binary64_12018 |
| 130× | neg-mul-1_binary64_12009 |
| 127× | neg-sub0_binary64_12008 sub-neg_binary64_12006 |
| 123× | associate-/l*_binary64_11958 |
| 113× | *-commutative_binary64_11944 |
| 105× | distribute-rgt-neg-in_binary64_11971 |
| 104× | associate-*r*_binary64_11953 |
| 96× | times-frac_binary64_12019 |
| 94× | +-commutative_binary64_11943 |
| 89× | associate-*l/_binary64_11956 |
| 87× | associate-*l*_binary64_11954 |
| 84× | exp-prod_binary64_12065 |
| 82× | distribute-lft-neg-in_binary64_11970 |
| 72× | associate-/r*_binary64_11957 associate-*r/_binary64_11955 |
| 63× | unswap-sqr_binary64_11981 |
| 60× | distribute-rgt-out_binary64_11966 |
| 56× | distribute-neg-frac_binary64_11977 associate-+l+_binary64_11946 |
| 55× | sqr-pow_binary64_11985 |
| 52× | cube-prod_binary64_12041 |
| 51× | associate-+r+_binary64_11945 |
| 50× | associate--l+_binary64_11950 |
| 42× | unpow3_binary64_12079 |
| 35× | *-rgt-identity_binary64_12003 |
| 34× | cube-div_binary64_12042 |
| 27× | distribute-neg-in_binary64_11974 associate--r+_binary64_11949 |
| 25× | /-rgt-identity_binary64_12004 |
| 24× | distribute-lft-out_binary64_11964 |
| 21× | distribute-lft-neg-out_binary64_11972 |
| 19× | unsub-neg_binary64_12007 |
| 18× | *-lft-identity_binary64_12002 |
| 16× | log-prod_binary64_12099 distribute-rgt-out--_binary64_11967 |
| 13× | log-div_binary64_12100 |
| 12× | exp-sum_binary64_12059 cube-mult_binary64_12043 swap-sqr_binary64_11980 |
| 8× | exp-diff_binary64_12061 cube-unmult_binary64_12050 distribute-rgt-neg-out_binary64_11973 associate-+r-_binary64_11947 |
| 6× | log-rec_binary64_12101 |
| 5× | unpow2_binary64_12078 unpow1/2_binary64_12077 pow-plus_binary64_12076 unpow1_binary64_12071 rem-sqrt-square_binary64_12026 +-rgt-identity_binary64_11998 difference-of-squares_binary64_11982 |
| 4× | prod-exp_binary64_12062 remove-double-div_binary64_11989 associate--r-_binary64_11952 |
| 3× | log-pow_binary64_12102 distribute-rgt1-in_binary64_11969 |
| 2× | mul-1-neg_binary64_12005 sub0-neg_binary64_12000 +-lft-identity_binary64_11997 count-2_binary64_11961 |
| 1× | div-exp_binary64_12064 rec-exp_binary64_12063 1-exp_binary64_12057 exp-1-e_binary64_12056 cube-neg_binary64_12040 sqr-neg_binary64_12027 remove-double-neg_binary64_12001 div0_binary64_11994 *-inverses_binary64_11993 pow-sqr_binary64_11986 distribute-lft-out--_binary64_11965 associate-+l-_binary64_11948 |
| 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_12276 erf-erfc_binary64_12275 erf-odd_binary64_12274 if-if-and-not_binary64_12273 if-if-and_binary64_12272 if-if-or-not_binary64_12271 if-if-or_binary64_12270 if-not_binary64_12269 if-same_binary64_12268 if-false_binary64_12267 if-true_binary64_12266 not-gte_binary64_12265 not-lte_binary64_12264 not-gt_binary64_12263 not-lt_binary64_12262 gte-same_binary64_12261 lte-same_binary64_12260 gt-same_binary64_12259 lt-same_binary64_12258 sinh---cosh_binary64_12205 sinh-+-cosh_binary64_12204 sinh-cosh_binary64_12203 tanh-def-c_binary64_12202 tanh-def-b_binary64_12201 tanh-def-a_binary64_12200 cosh-def_binary64_12199 sinh-def_binary64_12198 tan-neg_binary64_12145 cos-neg_binary64_12144 sin-neg_binary64_12143 tan-0_binary64_12142 cos-0_binary64_12141 sin-0_binary64_12140 hang-m-tan_binary64_12139 hang-p-tan_binary64_12138 hang-m0-tan_binary64_12137 hang-p0-tan_binary64_12136 hang-0m-tan_binary64_12135 hang-0p-tan_binary64_12134 tan-+PI/2_binary64_12133 tan-+PI_binary64_12132 tan-PI_binary64_12131 tan-PI/3_binary64_12130 tan-PI/4_binary64_12129 tan-PI/6_binary64_12128 cos-+PI/2_binary64_12127 cos-+PI_binary64_12126 cos-PI_binary64_12125 cos-PI/2_binary64_12124 cos-PI/3_binary64_12123 cos-PI/4_binary64_12122 cos-PI/6_binary64_12121 sin-+PI/2_binary64_12120 sin-+PI_binary64_12119 sin-PI_binary64_12118 sin-PI/2_binary64_12117 sin-PI/3_binary64_12116 sin-PI/4_binary64_12115 sin-PI/6_binary64_12114 sub-1-sin_binary64_12113 sub-1-cos_binary64_12112 -1-add-sin_binary64_12111 -1-add-cos_binary64_12110 1-sub-sin_binary64_12109 1-sub-cos_binary64_12108 cos-sin-sum_binary64_12107 log-E_binary64_12103 pow-base-0_binary64_12097 unpow1/3_binary64_12080 exp-to-pow_binary64_12075 pow-base-1_binary64_12073 unpow0_binary64_12072 unpow-1_binary64_12070 exp-lft-cube_binary64_12069 exp-lft-sqr_binary64_12068 exp-cbrt_binary64_12067 exp-sqrt_binary64_12066 exp-neg_binary64_12060 e-exp-1_binary64_12058 exp-0_binary64_12055 rem-log-exp_binary64_12054 rem-exp-log_binary64_12053 rem-3cbrt-rft_binary64_12039 rem-3cbrt-lft_binary64_12038 rem-cbrt-cube_binary64_12037 rem-cube-cbrt_binary64_12036 sqr-abs_binary64_12028 rem-square-sqrt_binary64_12025 --rgt-identity_binary64_11999 mul0-rgt_binary64_11996 mul0-lft_binary64_11995 +-inverses_binary64_11992 lft-mult-inverse_binary64_11991 rgt-mult-inverse_binary64_11990 difference-of-sqr--1_binary64_11984 difference-of-sqr-1_binary64_11983 cancel-sign-sub_binary64_11978 distribute-frac-neg_binary64_11976 distribute-neg-out_binary64_11975 distribute-lft1-in_binary64_11968 associate--l-_binary64_11951 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 274 | 5267 |
| 1 | 714 | 4994 |
| 2 | 2392 | 4748 |
| 3 | 4499 | 4746 |
| 4 | 4987 | 4746 |
| 5 | 4971 | 4746 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 3 | 163 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 164 | 6 | 170 |
Compiled 3847 to 2019 computations (47.5% saved)
Found 4 expressions with local error:
| 0.0b | (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) |
| 0.0b | (+.f64 x (/.f64 -1 (+.f64 (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) x))) |
| 0.0b | (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) |
| 0.1b | (/.f64 -1 (+.f64 (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) x)) |
| 1× | rewrite-expression-head |
| 27× | *-un-lft-identity_binary64_12013 |
| 19× | add-sqr-sqrt_binary64_12035 |
| 17× | add-cube-cbrt_binary64_12048 |
| 15× | times-frac_binary64_12019 |
| 13× | add-cbrt-cube_binary64_12049 |
| 11× | add-exp-log_binary64_12051 |
| 7× | associate-/r*_binary64_11957 |
| 6× | pow1_binary64_12074 add-log-exp_binary64_12052 |
| 5× | distribute-lft-out_binary64_11964 |
| 4× | associate-/l*_binary64_11958 |
| 3× | div-exp_binary64_12064 cbrt-undiv_binary64_12047 associate-*l*_binary64_11954 associate-*r*_binary64_11953 |
| 2× | frac-2neg_binary64_12024 clear-num_binary64_12012 div-inv_binary64_12010 flip3-+_binary64_12016 associate-/r/_binary64_11959 flip-+_binary64_11987 prod-exp_binary64_12062 cbrt-unprod_binary64_12046 |
| 1× | sum-log_binary64_12104 +-commutative_binary64_11943 pow-prod-down_binary64_12084 unswap-sqr_binary64_11981 *-commutative_binary64_11944 |
4 calls:
| 17.0ms | (+.f64 x (/.f64 -1 (+.f64 (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) x))) |
| 9.0ms | (/.f64 -1 (+.f64 (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) x)) |
| 6.0ms | (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) |
| 5.0ms | (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) |
Compiled 1727 to 1090 computations (36.9% saved)
4 calls:
| 353.0ms | (+.f64 x (/.f64 -1 (+.f64 (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) x))) |
| 326.0ms | (/.f64 -1 (+.f64 (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) x)) |
| 98.0ms | (/.f64 (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) y) |
| 31.0ms | (*.f64 (exp.f64 z) -5081767996463981/4503599627370496) |
Compiled 2505 to 1968 computations (21.4% saved)
| 1× | egg-herbie |
| 659× | associate-/r*_binary64_11957 |
| 333× | associate-/l/_binary64_11960 |
| 289× | distribute-rgt-in_binary64_11963 |
| 246× | associate-/r/_binary64_11959 |
| 228× | distribute-lft-in_binary64_11962 |
| 133× | distribute-neg-in_binary64_11974 |
| 121× | associate-/l*_binary64_11958 |
| 118× | times-frac_binary64_12019 |
| 100× | sub-neg_binary64_12006 |
| 98× | cancel-sign-sub-inv_binary64_11979 |
| 75× | *-commutative_binary64_11944 |
| 72× | unswap-sqr_binary64_11981 |
| 71× | distribute-rgt-neg-in_binary64_11971 +-commutative_binary64_11943 |
| 69× | associate-*l*_binary64_11954 |
| 68× | associate-*r*_binary64_11953 |
| 66× | distribute-lft-neg-in_binary64_11970 |
| 63× | distribute-neg-frac_binary64_11977 |
| 62× | neg-mul-1_binary64_12009 neg-sub0_binary64_12008 |
| 60× | associate-+r+_binary64_11945 |
| 53× | sqr-pow_binary64_11985 |
| 51× | associate-*l/_binary64_11956 |
| 50× | associate-*r/_binary64_11955 |
| 42× | associate-+l+_binary64_11946 |
| 39× | div-sub_binary64_12018 |
| 33× | unsub-neg_binary64_12007 associate--r+_binary64_11949 |
| 29× | distribute-lft-neg-out_binary64_11972 |
| 26× | distribute-rgt-neg-out_binary64_11973 |
| 22× | cube-div_binary64_12042 |
| 21× | log-div_binary64_12100 |
| 17× | cube-prod_binary64_12041 |
| 16× | exp-prod_binary64_12065 |
| 15× | *-rgt-identity_binary64_12003 |
| 14× | log-prod_binary64_12099 distribute-rgt-out_binary64_11966 |
| 13× | /-rgt-identity_binary64_12004 distribute-lft-out_binary64_11964 |
| 11× | unpow3_binary64_12079 |
| 10× | swap-sqr_binary64_11980 |
| 9× | distribute-frac-neg_binary64_11976 |
| 8× | cube-mult_binary64_12043 |
| 6× | associate-+r-_binary64_11947 |
| 5× | unpow2_binary64_12078 unpow1/2_binary64_12077 unpow1_binary64_12071 *-lft-identity_binary64_12002 |
| 4× | log-rec_binary64_12101 prod-exp_binary64_12062 exp-diff_binary64_12061 distribute-neg-out_binary64_11975 distribute-rgt-out--_binary64_11967 associate--l+_binary64_11950 |
| 3× | mul-1-neg_binary64_12005 +-rgt-identity_binary64_11998 |
| 2× | log-pow_binary64_12102 exp-sum_binary64_12059 cube-unmult_binary64_12050 cube-neg_binary64_12040 sqr-neg_binary64_12027 rem-sqrt-square_binary64_12026 remove-double-neg_binary64_12001 difference-of-squares_binary64_11982 distribute-rgt1-in_binary64_11969 |
| 1× | rec-exp_binary64_12063 1-exp_binary64_12057 exp-1-e_binary64_12056 rem-log-exp_binary64_12054 distribute-lft1-in_binary64_11968 count-2_binary64_11961 associate-+l-_binary64_11948 |
| 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_12276 erf-erfc_binary64_12275 erf-odd_binary64_12274 if-if-and-not_binary64_12273 if-if-and_binary64_12272 if-if-or-not_binary64_12271 if-if-or_binary64_12270 if-not_binary64_12269 if-same_binary64_12268 if-false_binary64_12267 if-true_binary64_12266 not-gte_binary64_12265 not-lte_binary64_12264 not-gt_binary64_12263 not-lt_binary64_12262 gte-same_binary64_12261 lte-same_binary64_12260 gt-same_binary64_12259 lt-same_binary64_12258 sinh---cosh_binary64_12205 sinh-+-cosh_binary64_12204 sinh-cosh_binary64_12203 tanh-def-c_binary64_12202 tanh-def-b_binary64_12201 tanh-def-a_binary64_12200 cosh-def_binary64_12199 sinh-def_binary64_12198 tan-neg_binary64_12145 cos-neg_binary64_12144 sin-neg_binary64_12143 tan-0_binary64_12142 cos-0_binary64_12141 sin-0_binary64_12140 hang-m-tan_binary64_12139 hang-p-tan_binary64_12138 hang-m0-tan_binary64_12137 hang-p0-tan_binary64_12136 hang-0m-tan_binary64_12135 hang-0p-tan_binary64_12134 tan-+PI/2_binary64_12133 tan-+PI_binary64_12132 tan-PI_binary64_12131 tan-PI/3_binary64_12130 tan-PI/4_binary64_12129 tan-PI/6_binary64_12128 cos-+PI/2_binary64_12127 cos-+PI_binary64_12126 cos-PI_binary64_12125 cos-PI/2_binary64_12124 cos-PI/3_binary64_12123 cos-PI/4_binary64_12122 cos-PI/6_binary64_12121 sin-+PI/2_binary64_12120 sin-+PI_binary64_12119 sin-PI_binary64_12118 sin-PI/2_binary64_12117 sin-PI/3_binary64_12116 sin-PI/4_binary64_12115 sin-PI/6_binary64_12114 sub-1-sin_binary64_12113 sub-1-cos_binary64_12112 -1-add-sin_binary64_12111 -1-add-cos_binary64_12110 1-sub-sin_binary64_12109 1-sub-cos_binary64_12108 cos-sin-sum_binary64_12107 log-E_binary64_12103 pow-base-0_binary64_12097 unpow1/3_binary64_12080 pow-plus_binary64_12076 exp-to-pow_binary64_12075 pow-base-1_binary64_12073 unpow0_binary64_12072 unpow-1_binary64_12070 exp-lft-cube_binary64_12069 exp-lft-sqr_binary64_12068 exp-cbrt_binary64_12067 exp-sqrt_binary64_12066 div-exp_binary64_12064 exp-neg_binary64_12060 e-exp-1_binary64_12058 exp-0_binary64_12055 rem-exp-log_binary64_12053 rem-3cbrt-rft_binary64_12039 rem-3cbrt-lft_binary64_12038 rem-cbrt-cube_binary64_12037 rem-cube-cbrt_binary64_12036 sqr-abs_binary64_12028 rem-square-sqrt_binary64_12025 sub0-neg_binary64_12000 --rgt-identity_binary64_11999 +-lft-identity_binary64_11997 mul0-rgt_binary64_11996 mul0-lft_binary64_11995 div0_binary64_11994 *-inverses_binary64_11993 +-inverses_binary64_11992 lft-mult-inverse_binary64_11991 rgt-mult-inverse_binary64_11990 remove-double-div_binary64_11989 pow-sqr_binary64_11986 difference-of-sqr--1_binary64_11984 difference-of-sqr-1_binary64_11983 cancel-sign-sub_binary64_11978 distribute-lft-out--_binary64_11965 associate--r-_binary64_11952 associate--l-_binary64_11951 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 2802 |
| 1 | 614 | 2711 |
| 2 | 2082 | 2660 |
| 3 | 5319 | 2660 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 0 | 95 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 95 | 6 | 101 |
Compiled 2157 to 1272 computations (41% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 x (/.f64 (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) (/.f64 1 y))) |
| 0.2b | (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) |
| 0.6b | (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)) |
| 4.6b | (/.f64 (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) (/.f64 1 y)) |
| 1× | rewrite-expression-head |
| 474× | times-frac_binary64_12019 |
| 224× | *-un-lft-identity_binary64_12013 |
| 222× | add-cube-cbrt_binary64_12048 add-sqr-sqrt_binary64_12035 |
| 48× | add-exp-log_binary64_12051 |
| 34× | div-exp_binary64_12064 |
| 32× | div-inv_binary64_12010 |
| 31× | associate-/r/_binary64_11959 |
| 18× | add-cbrt-cube_binary64_12049 associate-/l*_binary64_11958 |
| 16× | flip3--_binary64_12017 flip--_binary64_11988 associate-/r*_binary64_11957 |
| 9× | 1-exp_binary64_12057 rec-exp_binary64_12063 cbrt-undiv_binary64_12047 |
| 8× | add-log-exp_binary64_12052 |
| 5× | pow1_binary64_12074 |
| 2× | frac-2neg_binary64_12024 clear-num_binary64_12012 |
| 1× | associate-/l/_binary64_11960 diff-log_binary64_12105 sub-neg_binary64_12006 cancel-sign-sub-inv_binary64_11979 inv-pow_binary64_12098 pow-flip_binary64_12087 sum-log_binary64_12104 flip3-+_binary64_12016 flip-+_binary64_11987 distribute-lft-out_binary64_11964 +-commutative_binary64_11943 |
4 calls:
| 56.0ms | (+.f64 x (/.f64 (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) (/.f64 1 y))) |
| 16.0ms | (/.f64 (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) (/.f64 1 y)) |
| 7.0ms | (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) |
| 5.0ms | (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)) |
Compiled 10739 to 6528 computations (39.2% saved)
4 calls:
| 297.0ms | (+.f64 x (/.f64 (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) (/.f64 1 y))) |
| 268.0ms | (/.f64 (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) (/.f64 1 y)) |
| 263.0ms | (/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))) |
| 174.0ms | (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)) |
Compiled 3537 to 2613 computations (26.1% saved)
| 1× | egg-herbie |
| 292× | associate-/l/_binary64_11960 |
| 283× | associate-*l/_binary64_11956 |
| 264× | associate-/r/_binary64_11959 |
| 260× | *-commutative_binary64_11944 |
| 235× | cancel-sign-sub-inv_binary64_11979 |
| 234× | associate-/r*_binary64_11957 |
| 203× | associate-*r/_binary64_11955 |
| 180× | associate-*r*_binary64_11953 |
| 163× | associate-/l*_binary64_11958 |
| 162× | sub-neg_binary64_12006 |
| 159× | times-frac_binary64_12019 |
| 109× | unswap-sqr_binary64_11981 |
| 98× | associate-*l*_binary64_11954 |
| 94× | +-commutative_binary64_11943 |
| 75× | div-sub_binary64_12018 |
| 74× | *-rgt-identity_binary64_12003 |
| 59× | associate-+l+_binary64_11946 |
| 57× | exp-prod_binary64_12065 |
| 55× | sqr-pow_binary64_11985 |
| 54× | associate-+r+_binary64_11945 |
| 52× | distribute-rgt-in_binary64_11963 |
| 51× | associate--l+_binary64_11950 |
| 48× | distribute-lft-in_binary64_11962 |
| 47× | neg-mul-1_binary64_12009 neg-sub0_binary64_12008 |
| 41× | cube-prod_binary64_12041 |
| 38× | associate--r+_binary64_11949 |
| 33× | /-rgt-identity_binary64_12004 |
| 32× | cube-div_binary64_12042 |
| 29× | *-lft-identity_binary64_12002 |
| 26× | unsub-neg_binary64_12007 |
| 23× | log-div_binary64_12100 |
| 19× | distribute-rgt-neg-in_binary64_11971 |
| 18× | unpow3_binary64_12079 |
| 17× | log-prod_binary64_12099 |
| 16× | distribute-lft-neg-in_binary64_11970 |
| 13× | exp-sum_binary64_12059 distribute-neg-frac_binary64_11977 distribute-neg-in_binary64_11974 associate-+r-_binary64_11947 |
| 11× | cube-mult_binary64_12043 remove-double-div_binary64_11989 swap-sqr_binary64_11980 |
| 9× | cube-unmult_binary64_12050 |
| 8× | log-rec_binary64_12101 |
| 6× | exp-diff_binary64_12061 +-rgt-identity_binary64_11998 associate--l-_binary64_11951 |
| 5× | unpow2_binary64_12078 unpow1/2_binary64_12077 pow-plus_binary64_12076 unpow1_binary64_12071 rem-sqrt-square_binary64_12026 difference-of-squares_binary64_11982 distribute-rgt-out_binary64_11966 |
| 4× | prod-exp_binary64_12062 distribute-lft-neg-out_binary64_11972 |
| 3× | associate--r-_binary64_11952 |
| 2× | sub0-neg_binary64_12000 pow-sqr_binary64_11986 distribute-lft-out_binary64_11964 |
| 1× | log-pow_binary64_12102 div-exp_binary64_12064 rec-exp_binary64_12063 1-exp_binary64_12057 exp-1-e_binary64_12056 cube-neg_binary64_12040 sqr-neg_binary64_12027 remove-double-neg_binary64_12001 --rgt-identity_binary64_11999 +-lft-identity_binary64_11997 *-inverses_binary64_11993 lft-mult-inverse_binary64_11991 distribute-rgt1-in_binary64_11969 distribute-rgt-out--_binary64_11967 distribute-lft-out--_binary64_11965 associate-+l-_binary64_11948 |
| 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_12276 erf-erfc_binary64_12275 erf-odd_binary64_12274 if-if-and-not_binary64_12273 if-if-and_binary64_12272 if-if-or-not_binary64_12271 if-if-or_binary64_12270 if-not_binary64_12269 if-same_binary64_12268 if-false_binary64_12267 if-true_binary64_12266 not-gte_binary64_12265 not-lte_binary64_12264 not-gt_binary64_12263 not-lt_binary64_12262 gte-same_binary64_12261 lte-same_binary64_12260 gt-same_binary64_12259 lt-same_binary64_12258 sinh---cosh_binary64_12205 sinh-+-cosh_binary64_12204 sinh-cosh_binary64_12203 tanh-def-c_binary64_12202 tanh-def-b_binary64_12201 tanh-def-a_binary64_12200 cosh-def_binary64_12199 sinh-def_binary64_12198 tan-neg_binary64_12145 cos-neg_binary64_12144 sin-neg_binary64_12143 tan-0_binary64_12142 cos-0_binary64_12141 sin-0_binary64_12140 hang-m-tan_binary64_12139 hang-p-tan_binary64_12138 hang-m0-tan_binary64_12137 hang-p0-tan_binary64_12136 hang-0m-tan_binary64_12135 hang-0p-tan_binary64_12134 tan-+PI/2_binary64_12133 tan-+PI_binary64_12132 tan-PI_binary64_12131 tan-PI/3_binary64_12130 tan-PI/4_binary64_12129 tan-PI/6_binary64_12128 cos-+PI/2_binary64_12127 cos-+PI_binary64_12126 cos-PI_binary64_12125 cos-PI/2_binary64_12124 cos-PI/3_binary64_12123 cos-PI/4_binary64_12122 cos-PI/6_binary64_12121 sin-+PI/2_binary64_12120 sin-+PI_binary64_12119 sin-PI_binary64_12118 sin-PI/2_binary64_12117 sin-PI/3_binary64_12116 sin-PI/4_binary64_12115 sin-PI/6_binary64_12114 sub-1-sin_binary64_12113 sub-1-cos_binary64_12112 -1-add-sin_binary64_12111 -1-add-cos_binary64_12110 1-sub-sin_binary64_12109 1-sub-cos_binary64_12108 cos-sin-sum_binary64_12107 log-E_binary64_12103 pow-base-0_binary64_12097 unpow1/3_binary64_12080 exp-to-pow_binary64_12075 pow-base-1_binary64_12073 unpow0_binary64_12072 unpow-1_binary64_12070 exp-lft-cube_binary64_12069 exp-lft-sqr_binary64_12068 exp-cbrt_binary64_12067 exp-sqrt_binary64_12066 exp-neg_binary64_12060 e-exp-1_binary64_12058 exp-0_binary64_12055 rem-log-exp_binary64_12054 rem-exp-log_binary64_12053 rem-3cbrt-rft_binary64_12039 rem-3cbrt-lft_binary64_12038 rem-cbrt-cube_binary64_12037 rem-cube-cbrt_binary64_12036 sqr-abs_binary64_12028 rem-square-sqrt_binary64_12025 mul-1-neg_binary64_12005 mul0-rgt_binary64_11996 mul0-lft_binary64_11995 div0_binary64_11994 +-inverses_binary64_11992 rgt-mult-inverse_binary64_11990 difference-of-sqr--1_binary64_11984 difference-of-sqr-1_binary64_11983 cancel-sign-sub_binary64_11978 distribute-frac-neg_binary64_11976 distribute-neg-out_binary64_11975 distribute-rgt-neg-out_binary64_11973 distribute-lft1-in_binary64_11968 count-2_binary64_11961 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 432 | 14730 |
| 1 | 1191 | 13063 |
| 2 | 4182 | 12961 |
| 3 | 4785 | 12961 |
| 4 | 4950 | 12961 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 0 | 356 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 356 | 6 | 362 |
Compiled 9933 to 5469 computations (44.9% saved)
Total 0.0b remaining (98.4%)
Threshold costs 0.0b (98.4%)
Compiled 8590 to 6518 computations (24.1% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64_11943 |
| 1× | *-commutative_binary64_11944 |
| 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_12273 if-if-and_binary64_12272 if-if-or-not_binary64_12271 if-if-or_binary64_12270 if-not_binary64_12269 if-same_binary64_12268 if-false_binary64_12267 if-true_binary64_12266 tan-0_binary64_12142 cos-0_binary64_12141 sin-0_binary64_12140 unpow1_binary64_12071 e-exp-1_binary64_12058 1-exp_binary64_12057 exp-1-e_binary64_12056 exp-0_binary64_12055 sqr-abs_binary64_12028 sqr-neg_binary64_12027 neg-mul-1_binary64_12009 neg-sub0_binary64_12008 unsub-neg_binary64_12007 sub-neg_binary64_12006 mul-1-neg_binary64_12005 /-rgt-identity_binary64_12004 *-rgt-identity_binary64_12003 *-lft-identity_binary64_12002 remove-double-neg_binary64_12001 sub0-neg_binary64_12000 --rgt-identity_binary64_11999 +-rgt-identity_binary64_11998 +-lft-identity_binary64_11997 cancel-sign-sub-inv_binary64_11979 cancel-sign-sub_binary64_11978 distribute-neg-frac_binary64_11977 distribute-frac-neg_binary64_11976 distribute-neg-out_binary64_11975 distribute-neg-in_binary64_11974 distribute-rgt-neg-out_binary64_11973 distribute-lft-neg-out_binary64_11972 distribute-rgt-neg-in_binary64_11971 distribute-lft-neg-in_binary64_11970 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 15 | 18 |
| 2 | 15 | 18 |
| 1× | intervals |
| 325.0ms | 8000× | body | 128 | valid |
Compiled 1357 to 1034 computations (23.8% saved)
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