Time bar (total: 3.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 0% | 100% | 0 |
| 0% | 0% | 100% | 1 |
Compiled 23 to 20 computations (13% saved)
| 1× | intervals |
| 20.0ms | 256× | body | 256 | valid |
| 3.0ms | 256× | pre | 128 | true |
Compiled 42 to 38 computations (9.5% saved)
| 1× | egg-herbie |
| 821× | unsub-neg_binary64_2118 |
| 715× | distribute-rgt-neg-in_binary64_2082 |
| 694× | distribute-neg-in_binary64_2085 |
| 613× | sub-neg_binary64_2117 |
| 525× | distribute-lft-neg-in_binary64_2081 |
| 516× | +-commutative_binary64_2054 |
| 436× | neg-mul-1_binary64_2120 |
| 434× | neg-sub0_binary64_2119 |
| 350× | *-commutative_binary64_2055 |
| 234× | remove-double-neg_binary64_2112 |
| 233× | distribute-rgt1-in_binary64_2080 |
| 174× | distribute-rgt-out--_binary64_2078 |
| 173× | distribute-lft-neg-out_binary64_2083 |
| 159× | associate--r+_binary64_2060 |
| 155× | distribute-rgt-neg-out_binary64_2084 |
| 140× | distribute-rgt-in_binary64_2074 associate-+l-_binary64_2059 |
| 123× | associate-*l*_binary64_2065 |
| 120× | distribute-lft-out_binary64_2075 |
| 118× | distribute-neg-out_binary64_2086 |
| 114× | cancel-sign-sub-inv_binary64_2090 |
| 110× | distribute-lft-in_binary64_2073 |
| 109× | associate-+l+_binary64_2057 |
| 100× | associate--l+_binary64_2061 |
| 98× | associate-+r-_binary64_2058 |
| 93× | associate-+r+_binary64_2056 |
| 69× | distribute-rgt-out_binary64_2077 |
| 68× | distribute-lft-out--_binary64_2076 |
| 54× | associate-*r*_binary64_2064 |
| 45× | associate--r-_binary64_2063 |
| 37× | associate--l-_binary64_2062 |
| 36× | *-lft-identity_binary64_2113 |
| 35× | cancel-sign-sub_binary64_2089 |
| 32× | distribute-lft1-in_binary64_2079 |
| 28× | *-rgt-identity_binary64_2114 |
| 24× | sub0-neg_binary64_2111 |
| 15× | +-rgt-identity_binary64_2109 |
| 12× | swap-sqr_binary64_2091 |
| 5× | +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 difference-of-sqr--1_binary64_2095 |
| 4× | --rgt-identity_binary64_2110 +-inverses_binary64_2103 |
| 1× | 1-exp_binary64_2168 sqr-neg_binary64_2138 mul-1-neg_binary64_2116 |
| 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_2387 erf-erfc_binary64_2386 erf-odd_binary64_2385 if-if-and-not_binary64_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 not-gte_binary64_2376 not-lte_binary64_2375 not-gt_binary64_2374 not-lt_binary64_2373 gte-same_binary64_2372 lte-same_binary64_2371 gt-same_binary64_2370 lt-same_binary64_2369 sinh---cosh_binary64_2316 sinh-+-cosh_binary64_2315 sinh-cosh_binary64_2314 tanh-def-c_binary64_2313 tanh-def-b_binary64_2312 tanh-def-a_binary64_2311 cosh-def_binary64_2310 sinh-def_binary64_2309 tan-neg_binary64_2256 cos-neg_binary64_2255 sin-neg_binary64_2254 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 hang-m-tan_binary64_2250 hang-p-tan_binary64_2249 hang-m0-tan_binary64_2248 hang-p0-tan_binary64_2247 hang-0m-tan_binary64_2246 hang-0p-tan_binary64_2245 tan-+PI/2_binary64_2244 tan-+PI_binary64_2243 tan-PI_binary64_2242 tan-PI/3_binary64_2241 tan-PI/4_binary64_2240 tan-PI/6_binary64_2239 cos-+PI/2_binary64_2238 cos-+PI_binary64_2237 cos-PI_binary64_2236 cos-PI/2_binary64_2235 cos-PI/3_binary64_2234 cos-PI/4_binary64_2233 cos-PI/6_binary64_2232 sin-+PI/2_binary64_2231 sin-+PI_binary64_2230 sin-PI_binary64_2229 sin-PI/2_binary64_2228 sin-PI/3_binary64_2227 sin-PI/4_binary64_2226 sin-PI/6_binary64_2225 sub-1-sin_binary64_2224 sub-1-cos_binary64_2223 -1-add-sin_binary64_2222 -1-add-cos_binary64_2221 1-sub-sin_binary64_2220 1-sub-cos_binary64_2219 cos-sin-sum_binary64_2218 log-E_binary64_2214 log-pow_binary64_2213 log-rec_binary64_2212 log-div_binary64_2211 log-prod_binary64_2210 pow-base-0_binary64_2208 unpow1/3_binary64_2191 unpow3_binary64_2190 unpow2_binary64_2189 unpow1/2_binary64_2188 pow-plus_binary64_2187 exp-to-pow_binary64_2186 pow-base-1_binary64_2184 unpow0_binary64_2183 unpow1_binary64_2182 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 exp-prod_binary64_2176 div-exp_binary64_2175 rec-exp_binary64_2174 prod-exp_binary64_2173 exp-diff_binary64_2172 exp-neg_binary64_2171 exp-sum_binary64_2170 e-exp-1_binary64_2169 exp-1-e_binary64_2167 exp-0_binary64_2166 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 cube-unmult_binary64_2161 cube-mult_binary64_2154 cube-div_binary64_2153 cube-prod_binary64_2152 cube-neg_binary64_2151 rem-3cbrt-rft_binary64_2150 rem-3cbrt-lft_binary64_2149 rem-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-abs_binary64_2139 rem-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 times-frac_binary64_2130 div-sub_binary64_2129 /-rgt-identity_binary64_2115 div0_binary64_2105 *-inverses_binary64_2104 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 pow-sqr_binary64_2097 sqr-pow_binary64_2096 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 unswap-sqr_binary64_2092 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 count-2_binary64_2072 associate-/l/_binary64_2071 associate-/r/_binary64_2070 associate-/l*_binary64_2069 associate-/r*_binary64_2068 associate-*l/_binary64_2067 associate-*r/_binary64_2066 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 28 |
| 1 | 34 | 25 |
| 2 | 92 | 22 |
| 3 | 242 | 19 |
| 4 | 615 | 7 |
| 5 | 1524 | 7 |
| 6 | 2445 | 7 |
| 7 | 3083 | 7 |
| 8 | 3763 | 7 |
| 9 | 4076 | 7 |
| 10 | 4021 | 7 |
| 11 | 4034 | 7 |
| 12 | 4045 | 7 |
| 13 | 3887 | 7 |
| 14 | 4080 | 7 |
| 15 | 4314 | 7 |
| 16 | 4439 | 7 |
| 17 | 4654 | 7 |
| 18 | 4858 | 7 |
| 19 | 4985 | 7 |
| 20 | 4827 | 7 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 1 | 6 |
Compiled 74 to 60 computations (18.9% saved)
Found 2 expressions with local error:
| 0.2b | (*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
| 0.2b | (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) |
| 1× | rewrite-expression-head |
| 9× | pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 |
| 7× | add-sqr-sqrt_binary64_2146 |
| 6× | associate-*l*_binary64_2065 |
| 5× | add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 |
| 4× | pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 associate-*r*_binary64_2064 |
| 2× | add-log-exp_binary64_2163 *-commutative_binary64_2055 |
| 1× | unswap-sqr_binary64_2092 |
2 calls:
| 5.0ms | (*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
| 4.0ms | (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) |
Compiled 356 to 232 computations (34.8% saved)
2 calls:
| 25.0ms | (*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
| 16.0ms | (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) |
Compiled 90 to 76 computations (15.6% saved)
| 1× | egg-herbie |
| 427× | log-div_binary64_2211 |
| 331× | associate-*l*_binary64_2065 |
| 300× | distribute-rgt-in_binary64_2074 |
| 286× | distribute-lft-in_binary64_2073 |
| 261× | sqr-pow_binary64_2096 associate-*r/_binary64_2066 |
| 229× | associate-*l/_binary64_2067 |
| 226× | associate-+l+_binary64_2057 |
| 225× | *-commutative_binary64_2055 |
| 193× | associate-/l*_binary64_2069 |
| 180× | associate-*r*_binary64_2064 |
| 168× | cube-div_binary64_2153 |
| 163× | unswap-sqr_binary64_2092 |
| 162× | associate-/l/_binary64_2071 |
| 158× | associate-/r/_binary64_2070 |
| 143× | log-prod_binary64_2210 |
| 132× | exp-prod_binary64_2176 |
| 125× | cube-prod_binary64_2152 associate-+r+_binary64_2056 |
| 102× | associate-/r*_binary64_2068 |
| 101× | pow-sqr_binary64_2097 |
| 86× | swap-sqr_binary64_2091 |
| 85× | +-commutative_binary64_2054 |
| 45× | *-lft-identity_binary64_2113 |
| 41× | *-rgt-identity_binary64_2114 |
| 30× | rem-sqrt-square_binary64_2137 |
| 28× | log-pow_binary64_2213 |
| 27× | times-frac_binary64_2130 |
| 26× | unpow3_binary64_2190 |
| 23× | cube-mult_binary64_2154 |
| 21× | distribute-rgt-out_binary64_2077 |
| 17× | exp-sqrt_binary64_2177 |
| 16× | pow-plus_binary64_2187 |
| 15× | distribute-lft-out_binary64_2075 |
| 14× | log-rec_binary64_2212 |
| 9× | unpow1/2_binary64_2188 count-2_binary64_2072 |
| 7× | exp-lft-sqr_binary64_2179 |
| 5× | cube-unmult_binary64_2161 sub-neg_binary64_2117 |
| 4× | distribute-rgt1-in_binary64_2080 |
| 3× | unpow2_binary64_2189 distribute-lft1-in_binary64_2079 |
| 1× | unpow1_binary64_2182 prod-exp_binary64_2173 1-exp_binary64_2168 exp-1-e_binary64_2167 |
| 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_2387 erf-erfc_binary64_2386 erf-odd_binary64_2385 if-if-and-not_binary64_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 not-gte_binary64_2376 not-lte_binary64_2375 not-gt_binary64_2374 not-lt_binary64_2373 gte-same_binary64_2372 lte-same_binary64_2371 gt-same_binary64_2370 lt-same_binary64_2369 sinh---cosh_binary64_2316 sinh-+-cosh_binary64_2315 sinh-cosh_binary64_2314 tanh-def-c_binary64_2313 tanh-def-b_binary64_2312 tanh-def-a_binary64_2311 cosh-def_binary64_2310 sinh-def_binary64_2309 tan-neg_binary64_2256 cos-neg_binary64_2255 sin-neg_binary64_2254 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 hang-m-tan_binary64_2250 hang-p-tan_binary64_2249 hang-m0-tan_binary64_2248 hang-p0-tan_binary64_2247 hang-0m-tan_binary64_2246 hang-0p-tan_binary64_2245 tan-+PI/2_binary64_2244 tan-+PI_binary64_2243 tan-PI_binary64_2242 tan-PI/3_binary64_2241 tan-PI/4_binary64_2240 tan-PI/6_binary64_2239 cos-+PI/2_binary64_2238 cos-+PI_binary64_2237 cos-PI_binary64_2236 cos-PI/2_binary64_2235 cos-PI/3_binary64_2234 cos-PI/4_binary64_2233 cos-PI/6_binary64_2232 sin-+PI/2_binary64_2231 sin-+PI_binary64_2230 sin-PI_binary64_2229 sin-PI/2_binary64_2228 sin-PI/3_binary64_2227 sin-PI/4_binary64_2226 sin-PI/6_binary64_2225 sub-1-sin_binary64_2224 sub-1-cos_binary64_2223 -1-add-sin_binary64_2222 -1-add-cos_binary64_2221 1-sub-sin_binary64_2220 1-sub-cos_binary64_2219 cos-sin-sum_binary64_2218 log-E_binary64_2214 pow-base-0_binary64_2208 unpow1/3_binary64_2191 exp-to-pow_binary64_2186 pow-base-1_binary64_2184 unpow0_binary64_2183 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-cbrt_binary64_2178 div-exp_binary64_2175 rec-exp_binary64_2174 exp-diff_binary64_2172 exp-neg_binary64_2171 exp-sum_binary64_2170 e-exp-1_binary64_2169 exp-0_binary64_2166 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 cube-neg_binary64_2151 rem-3cbrt-rft_binary64_2150 rem-3cbrt-lft_binary64_2149 rem-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-abs_binary64_2139 sqr-neg_binary64_2138 rem-square-sqrt_binary64_2136 div-sub_binary64_2129 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 unsub-neg_binary64_2118 mul-1-neg_binary64_2116 /-rgt-identity_binary64_2115 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 *-inverses_binary64_2104 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 cancel-sign-sub-inv_binary64_2090 cancel-sign-sub_binary64_2089 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-neg-in_binary64_2085 distribute-rgt-neg-out_binary64_2084 distribute-lft-neg-out_binary64_2083 distribute-rgt-neg-in_binary64_2082 distribute-lft-neg-in_binary64_2081 distribute-rgt-out--_binary64_2078 distribute-lft-out--_binary64_2076 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 349 |
| 1 | 108 | 301 |
| 2 | 323 | 292 |
| 3 | 595 | 290 |
| 4 | 903 | 290 |
| 5 | 1659 | 290 |
| 6 | 3654 | 290 |
| 7 | 4823 | 290 |
| 8 | 4984 | 290 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 8 | 53 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 8 | 54 |
Compiled 618 to 389 computations (37.1% saved)
Found 2 expressions with local error:
| 0.2b | (*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))) |
| 0.3b | (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
| 1× | rewrite-expression-head |
| 16× | pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 |
| 9× | pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 |
| 7× | associate-*r*_binary64_2064 |
| 5× | add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124 |
| 4× | associate-*l*_binary64_2065 |
| 3× | sqrt-prod_binary64_2140 |
| 2× | add-log-exp_binary64_2163 *-commutative_binary64_2055 |
2 calls:
| 10.0ms | (*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))) |
| 6.0ms | (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
Compiled 605 to 473 computations (21.8% saved)
2 calls:
| 29.0ms | (*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))) |
| 22.0ms | (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
Compiled 90 to 76 computations (15.6% saved)
| 1× | egg-herbie |
| 649× | unswap-sqr_binary64_2092 |
| 431× | log-div_binary64_2211 |
| 278× | *-commutative_binary64_2055 |
| 268× | associate-*r/_binary64_2066 |
| 234× | associate-*l/_binary64_2067 |
| 185× | sqr-pow_binary64_2096 |
| 168× | associate-/l/_binary64_2071 |
| 164× | associate-/r/_binary64_2070 |
| 160× | associate-/l*_binary64_2069 |
| 142× | associate-*l*_binary64_2065 |
| 134× | associate-*r*_binary64_2064 |
| 113× | log-prod_binary64_2210 |
| 105× | distribute-rgt-in_binary64_2074 |
| 89× | distribute-lft-in_binary64_2073 |
| 79× | swap-sqr_binary64_2091 |
| 72× | pow-sqr_binary64_2097 |
| 68× | associate-/r*_binary64_2068 |
| 57× | associate-+l+_binary64_2057 |
| 56× | +-commutative_binary64_2054 |
| 46× | exp-prod_binary64_2176 |
| 44× | associate-+r+_binary64_2056 |
| 36× | rem-sqrt-square_binary64_2137 |
| 29× | cube-prod_binary64_2152 |
| 19× | distribute-lft-out_binary64_2075 |
| 18× | unpow3_binary64_2190 |
| 17× | exp-sqrt_binary64_2177 |
| 14× | log-rec_binary64_2212 |
| 13× | times-frac_binary64_2130 |
| 12× | pow-plus_binary64_2187 *-rgt-identity_binary64_2114 |
| 11× | log-pow_binary64_2213 |
| 10× | *-lft-identity_binary64_2113 |
| 9× | unpow1/2_binary64_2188 distribute-rgt-out_binary64_2077 count-2_binary64_2072 |
| 8× | cube-div_binary64_2153 |
| 6× | exp-lft-sqr_binary64_2179 |
| 5× | cube-unmult_binary64_2161 |
| 4× | distribute-rgt1-in_binary64_2080 |
| 3× | unpow2_binary64_2189 |
| 2× | unpow1_binary64_2182 distribute-lft1-in_binary64_2079 |
| 1× | 1-exp_binary64_2168 exp-1-e_binary64_2167 cube-mult_binary64_2154 |
| 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_2387 erf-erfc_binary64_2386 erf-odd_binary64_2385 if-if-and-not_binary64_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 not-gte_binary64_2376 not-lte_binary64_2375 not-gt_binary64_2374 not-lt_binary64_2373 gte-same_binary64_2372 lte-same_binary64_2371 gt-same_binary64_2370 lt-same_binary64_2369 sinh---cosh_binary64_2316 sinh-+-cosh_binary64_2315 sinh-cosh_binary64_2314 tanh-def-c_binary64_2313 tanh-def-b_binary64_2312 tanh-def-a_binary64_2311 cosh-def_binary64_2310 sinh-def_binary64_2309 tan-neg_binary64_2256 cos-neg_binary64_2255 sin-neg_binary64_2254 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 hang-m-tan_binary64_2250 hang-p-tan_binary64_2249 hang-m0-tan_binary64_2248 hang-p0-tan_binary64_2247 hang-0m-tan_binary64_2246 hang-0p-tan_binary64_2245 tan-+PI/2_binary64_2244 tan-+PI_binary64_2243 tan-PI_binary64_2242 tan-PI/3_binary64_2241 tan-PI/4_binary64_2240 tan-PI/6_binary64_2239 cos-+PI/2_binary64_2238 cos-+PI_binary64_2237 cos-PI_binary64_2236 cos-PI/2_binary64_2235 cos-PI/3_binary64_2234 cos-PI/4_binary64_2233 cos-PI/6_binary64_2232 sin-+PI/2_binary64_2231 sin-+PI_binary64_2230 sin-PI_binary64_2229 sin-PI/2_binary64_2228 sin-PI/3_binary64_2227 sin-PI/4_binary64_2226 sin-PI/6_binary64_2225 sub-1-sin_binary64_2224 sub-1-cos_binary64_2223 -1-add-sin_binary64_2222 -1-add-cos_binary64_2221 1-sub-sin_binary64_2220 1-sub-cos_binary64_2219 cos-sin-sum_binary64_2218 log-E_binary64_2214 pow-base-0_binary64_2208 unpow1/3_binary64_2191 exp-to-pow_binary64_2186 pow-base-1_binary64_2184 unpow0_binary64_2183 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-cbrt_binary64_2178 div-exp_binary64_2175 rec-exp_binary64_2174 prod-exp_binary64_2173 exp-diff_binary64_2172 exp-neg_binary64_2171 exp-sum_binary64_2170 e-exp-1_binary64_2169 exp-0_binary64_2166 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 cube-neg_binary64_2151 rem-3cbrt-rft_binary64_2150 rem-3cbrt-lft_binary64_2149 rem-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-abs_binary64_2139 sqr-neg_binary64_2138 rem-square-sqrt_binary64_2136 div-sub_binary64_2129 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 unsub-neg_binary64_2118 sub-neg_binary64_2117 mul-1-neg_binary64_2116 /-rgt-identity_binary64_2115 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 *-inverses_binary64_2104 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 cancel-sign-sub-inv_binary64_2090 cancel-sign-sub_binary64_2089 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-neg-in_binary64_2085 distribute-rgt-neg-out_binary64_2084 distribute-lft-neg-out_binary64_2083 distribute-rgt-neg-in_binary64_2082 distribute-lft-neg-in_binary64_2081 distribute-rgt-out--_binary64_2078 distribute-lft-out--_binary64_2076 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 442 |
| 1 | 151 | 349 |
| 2 | 524 | 337 |
| 3 | 787 | 335 |
| 4 | 1203 | 335 |
| 5 | 1733 | 335 |
| 6 | 4547 | 335 |
| 7 | 4962 | 335 |
| 8 | 5066 | 335 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 1 | 68 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 6 | 76 |
Compiled 765 to 534 computations (30.2% saved)
Found 1 expressions with local error:
| 0.3b | (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t)) |
| 1× | rewrite-expression-head |
| 6× | pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 |
| 3× | pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 add-sqr-sqrt_binary64_2146 associate-*l*_binary64_2065 |
| 2× | add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 |
| 1× | add-log-exp_binary64_2163 unswap-sqr_binary64_2092 associate-*r*_binary64_2064 *-commutative_binary64_2055 |
1 calls:
| 5.0ms | (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t)) |
Compiled 193 to 113 computations (41.5% saved)
1 calls:
| 24.0ms | (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t)) |
Compiled 45 to 43 computations (4.4% saved)
| 1× | egg-herbie |
| 678× | associate-/l/_binary64_2071 |
| 559× | associate-/r/_binary64_2070 |
| 350× | distribute-rgt-in_binary64_2074 |
| 315× | distribute-lft-in_binary64_2073 |
| 209× | *-commutative_binary64_2055 |
| 208× | log-prod_binary64_2210 |
| 180× | sqr-pow_binary64_2096 |
| 165× | associate-*l*_binary64_2065 |
| 152× | times-frac_binary64_2130 |
| 122× | unswap-sqr_binary64_2092 associate-*r*_binary64_2064 |
| 116× | associate-+l+_binary64_2057 |
| 114× | associate-/l*_binary64_2069 |
| 75× | pow-sqr_binary64_2097 |
| 73× | associate-+r+_binary64_2056 |
| 58× | distribute-rgt-out_binary64_2077 |
| 53× | exp-prod_binary64_2176 |
| 48× | associate-/r*_binary64_2068 |
| 43× | log-div_binary64_2211 cube-prod_binary64_2152 |
| 38× | associate-*r/_binary64_2066 |
| 27× | log-pow_binary64_2213 |
| 26× | distribute-lft-out_binary64_2075 |
| 19× | count-2_binary64_2072 associate-*l/_binary64_2067 |
| 18× | unpow3_binary64_2190 |
| 17× | pow-plus_binary64_2187 *-lft-identity_binary64_2113 |
| 16× | +-commutative_binary64_2054 |
| 14× | cube-mult_binary64_2154 |
| 12× | swap-sqr_binary64_2091 |
| 10× | *-rgt-identity_binary64_2114 |
| 9× | distribute-rgt1-in_binary64_2080 |
| 6× | cube-unmult_binary64_2161 |
| 5× | distribute-lft1-in_binary64_2079 |
| 4× | /-rgt-identity_binary64_2115 |
| 3× | unpow2_binary64_2189 |
| 1× | unpow1/2_binary64_2188 unpow1_binary64_2182 1-exp_binary64_2168 rem-sqrt-square_binary64_2137 |
| 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_2387 erf-erfc_binary64_2386 erf-odd_binary64_2385 if-if-and-not_binary64_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 not-gte_binary64_2376 not-lte_binary64_2375 not-gt_binary64_2374 not-lt_binary64_2373 gte-same_binary64_2372 lte-same_binary64_2371 gt-same_binary64_2370 lt-same_binary64_2369 sinh---cosh_binary64_2316 sinh-+-cosh_binary64_2315 sinh-cosh_binary64_2314 tanh-def-c_binary64_2313 tanh-def-b_binary64_2312 tanh-def-a_binary64_2311 cosh-def_binary64_2310 sinh-def_binary64_2309 tan-neg_binary64_2256 cos-neg_binary64_2255 sin-neg_binary64_2254 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 hang-m-tan_binary64_2250 hang-p-tan_binary64_2249 hang-m0-tan_binary64_2248 hang-p0-tan_binary64_2247 hang-0m-tan_binary64_2246 hang-0p-tan_binary64_2245 tan-+PI/2_binary64_2244 tan-+PI_binary64_2243 tan-PI_binary64_2242 tan-PI/3_binary64_2241 tan-PI/4_binary64_2240 tan-PI/6_binary64_2239 cos-+PI/2_binary64_2238 cos-+PI_binary64_2237 cos-PI_binary64_2236 cos-PI/2_binary64_2235 cos-PI/3_binary64_2234 cos-PI/4_binary64_2233 cos-PI/6_binary64_2232 sin-+PI/2_binary64_2231 sin-+PI_binary64_2230 sin-PI_binary64_2229 sin-PI/2_binary64_2228 sin-PI/3_binary64_2227 sin-PI/4_binary64_2226 sin-PI/6_binary64_2225 sub-1-sin_binary64_2224 sub-1-cos_binary64_2223 -1-add-sin_binary64_2222 -1-add-cos_binary64_2221 1-sub-sin_binary64_2220 1-sub-cos_binary64_2219 cos-sin-sum_binary64_2218 log-E_binary64_2214 log-rec_binary64_2212 pow-base-0_binary64_2208 unpow1/3_binary64_2191 exp-to-pow_binary64_2186 pow-base-1_binary64_2184 unpow0_binary64_2183 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 div-exp_binary64_2175 rec-exp_binary64_2174 prod-exp_binary64_2173 exp-diff_binary64_2172 exp-neg_binary64_2171 exp-sum_binary64_2170 e-exp-1_binary64_2169 exp-1-e_binary64_2167 exp-0_binary64_2166 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 cube-div_binary64_2153 cube-neg_binary64_2151 rem-3cbrt-rft_binary64_2150 rem-3cbrt-lft_binary64_2149 rem-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-abs_binary64_2139 sqr-neg_binary64_2138 rem-square-sqrt_binary64_2136 div-sub_binary64_2129 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 unsub-neg_binary64_2118 sub-neg_binary64_2117 mul-1-neg_binary64_2116 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 *-inverses_binary64_2104 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 cancel-sign-sub-inv_binary64_2090 cancel-sign-sub_binary64_2089 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-neg-in_binary64_2085 distribute-rgt-neg-out_binary64_2084 distribute-lft-neg-out_binary64_2083 distribute-rgt-neg-in_binary64_2082 distribute-lft-neg-in_binary64_2081 distribute-rgt-out--_binary64_2078 distribute-lft-out--_binary64_2076 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 219 |
| 1 | 75 | 183 |
| 2 | 174 | 174 |
| 3 | 416 | 174 |
| 4 | 624 | 174 |
| 5 | 1003 | 174 |
| 6 | 1910 | 174 |
| 7 | 4650 | 174 |
| 8 | 4846 | 174 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 18 | 2 | 20 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 20 | 6 | 26 |
Compiled 208 to 132 computations (36.5% saved)
Found 2 expressions with local error:
| 0.3b | (*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008) |
| 0.3b | (*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008)) |
| 1× | rewrite-expression-head |
| 16× | pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 |
| 9× | pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 |
| 7× | associate-*l*_binary64_2065 |
| 6× | add-sqr-sqrt_binary64_2146 |
| 5× | add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 |
| 4× | associate-*r*_binary64_2064 |
| 3× | sqrt-prod_binary64_2140 |
| 2× | add-log-exp_binary64_2163 *-commutative_binary64_2055 |
| 1× | unswap-sqr_binary64_2092 |
2 calls:
| 8.0ms | (*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008)) |
| 6.0ms | (*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008) |
Compiled 608 to 416 computations (31.6% saved)
2 calls:
| 26.0ms | (*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008)) |
| 25.0ms | (*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008) |
Compiled 117 to 112 computations (4.3% saved)
| 1× | egg-herbie |
| 415× | associate-+l+_binary64_2057 |
| 407× | unswap-sqr_binary64_2092 |
| 292× | distribute-rgt-in_binary64_2074 |
| 275× | associate-*r/_binary64_2066 |
| 255× | associate-+r+_binary64_2056 |
| 247× | associate-*l/_binary64_2067 |
| 240× | distribute-lft-in_binary64_2073 |
| 221× | *-commutative_binary64_2055 |
| 209× | associate-/l/_binary64_2071 |
| 197× | associate-/r/_binary64_2070 |
| 173× | associate-/l*_binary64_2069 |
| 167× | sqr-pow_binary64_2096 |
| 113× | associate-*l*_binary64_2065 |
| 94× | associate-*r*_binary64_2064 |
| 65× | pow-sqr_binary64_2097 associate-/r*_binary64_2068 |
| 54× | distribute-lft-out_binary64_2075 |
| 40× | exp-prod_binary64_2176 |
| 39× | swap-sqr_binary64_2091 |
| 38× | times-frac_binary64_2130 |
| 37× | log-prod_binary64_2210 |
| 30× | rem-sqrt-square_binary64_2137 |
| 29× | cube-prod_binary64_2152 |
| 28× | +-commutative_binary64_2054 |
| 19× | distribute-rgt-out_binary64_2077 |
| 16× | *-rgt-identity_binary64_2114 |
| 13× | *-lft-identity_binary64_2113 |
| 9× | pow-plus_binary64_2187 distribute-rgt1-in_binary64_2080 count-2_binary64_2072 |
| 8× | log-div_binary64_2211 cube-div_binary64_2153 |
| 7× | cube-unmult_binary64_2161 |
| 5× | unpow3_binary64_2190 unpow1/2_binary64_2188 distribute-lft1-in_binary64_2079 |
| 4× | log-pow_binary64_2213 |
| 2× | cube-mult_binary64_2154 /-rgt-identity_binary64_2115 |
| 1× | unpow2_binary64_2189 unpow1_binary64_2182 exp-lft-sqr_binary64_2179 exp-sqrt_binary64_2177 1-exp_binary64_2168 exp-1-e_binary64_2167 |
| 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_2387 erf-erfc_binary64_2386 erf-odd_binary64_2385 if-if-and-not_binary64_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 not-gte_binary64_2376 not-lte_binary64_2375 not-gt_binary64_2374 not-lt_binary64_2373 gte-same_binary64_2372 lte-same_binary64_2371 gt-same_binary64_2370 lt-same_binary64_2369 sinh---cosh_binary64_2316 sinh-+-cosh_binary64_2315 sinh-cosh_binary64_2314 tanh-def-c_binary64_2313 tanh-def-b_binary64_2312 tanh-def-a_binary64_2311 cosh-def_binary64_2310 sinh-def_binary64_2309 tan-neg_binary64_2256 cos-neg_binary64_2255 sin-neg_binary64_2254 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 hang-m-tan_binary64_2250 hang-p-tan_binary64_2249 hang-m0-tan_binary64_2248 hang-p0-tan_binary64_2247 hang-0m-tan_binary64_2246 hang-0p-tan_binary64_2245 tan-+PI/2_binary64_2244 tan-+PI_binary64_2243 tan-PI_binary64_2242 tan-PI/3_binary64_2241 tan-PI/4_binary64_2240 tan-PI/6_binary64_2239 cos-+PI/2_binary64_2238 cos-+PI_binary64_2237 cos-PI_binary64_2236 cos-PI/2_binary64_2235 cos-PI/3_binary64_2234 cos-PI/4_binary64_2233 cos-PI/6_binary64_2232 sin-+PI/2_binary64_2231 sin-+PI_binary64_2230 sin-PI_binary64_2229 sin-PI/2_binary64_2228 sin-PI/3_binary64_2227 sin-PI/4_binary64_2226 sin-PI/6_binary64_2225 sub-1-sin_binary64_2224 sub-1-cos_binary64_2223 -1-add-sin_binary64_2222 -1-add-cos_binary64_2221 1-sub-sin_binary64_2220 1-sub-cos_binary64_2219 cos-sin-sum_binary64_2218 log-E_binary64_2214 log-rec_binary64_2212 pow-base-0_binary64_2208 unpow1/3_binary64_2191 exp-to-pow_binary64_2186 pow-base-1_binary64_2184 unpow0_binary64_2183 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-cbrt_binary64_2178 div-exp_binary64_2175 rec-exp_binary64_2174 prod-exp_binary64_2173 exp-diff_binary64_2172 exp-neg_binary64_2171 exp-sum_binary64_2170 e-exp-1_binary64_2169 exp-0_binary64_2166 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 cube-neg_binary64_2151 rem-3cbrt-rft_binary64_2150 rem-3cbrt-lft_binary64_2149 rem-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-abs_binary64_2139 sqr-neg_binary64_2138 rem-square-sqrt_binary64_2136 div-sub_binary64_2129 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 unsub-neg_binary64_2118 sub-neg_binary64_2117 mul-1-neg_binary64_2116 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 *-inverses_binary64_2104 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 cancel-sign-sub-inv_binary64_2090 cancel-sign-sub_binary64_2089 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-neg-in_binary64_2085 distribute-rgt-neg-out_binary64_2084 distribute-lft-neg-out_binary64_2083 distribute-rgt-neg-in_binary64_2082 distribute-lft-neg-in_binary64_2081 distribute-rgt-out--_binary64_2078 distribute-lft-out--_binary64_2076 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 574 |
| 1 | 128 | 436 |
| 2 | 426 | 409 |
| 3 | 674 | 409 |
| 4 | 1003 | 409 |
| 5 | 2012 | 409 |
| 6 | 4929 | 409 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 78 | 0 | 78 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 78 | 6 | 84 |
Compiled 944 to 610 computations (35.4% saved)
Total 0.3b remaining (99.5%)
Threshold costs 0.3b (99.5%)
Compiled 1860 to 1489 computations (19.9% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64_2055 |
| 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_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 unpow1_binary64_2182 e-exp-1_binary64_2169 1-exp_binary64_2168 exp-1-e_binary64_2167 exp-0_binary64_2166 sqr-abs_binary64_2139 sqr-neg_binary64_2138 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 unsub-neg_binary64_2118 sub-neg_binary64_2117 mul-1-neg_binary64_2116 /-rgt-identity_binary64_2115 *-rgt-identity_binary64_2114 *-lft-identity_binary64_2113 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 cancel-sign-sub-inv_binary64_2090 cancel-sign-sub_binary64_2089 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-neg-in_binary64_2085 distribute-rgt-neg-out_binary64_2084 distribute-lft-neg-out_binary64_2083 distribute-rgt-neg-in_binary64_2082 distribute-lft-neg-in_binary64_2081 +-commutative_binary64_2054 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 11 | 10 |
| 2 | 10 | 10 |
| 1× | intervals |
| 650.0ms | 8000× | body | 256 | valid |
| 112.0ms | 8000× | pre | 128 | true |
Compiled 637 to 511 computations (19.8% saved)
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