Time bar (total: 4.2s)
| 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 |
| 533× | unsub-neg_binary64_2118 |
| 526× | sub-neg_binary64_2117 |
| 517× | exp-prod_binary64_2176 |
| 363× | swap-sqr_binary64_2091 |
| 279× | distribute-rgt-out_binary64_2077 |
| 262× | distribute-rgt-out--_binary64_2078 |
| 195× | exp-sum_binary64_2170 |
| 175× | distribute-neg-in_binary64_2085 |
| 163× | distribute-rgt-neg-in_binary64_2082 |
| 148× | +-commutative_binary64_2054 |
| 139× | distribute-lft-out--_binary64_2076 |
| 126× | cancel-sign-sub-inv_binary64_2090 |
| 120× | neg-mul-1_binary64_2120 |
| 117× | distribute-lft-neg-in_binary64_2081 |
| 115× | distribute-rgt-in_binary64_2074 |
| 112× | neg-sub0_binary64_2119 |
| 111× | associate-+l+_binary64_2057 |
| 110× | associate-+l-_binary64_2059 |
| 109× | exp-diff_binary64_2172 |
| 95× | associate--l+_binary64_2061 |
| 91× | associate-+r+_binary64_2056 |
| 89× | associate--r+_binary64_2060 |
| 87× | *-commutative_binary64_2055 |
| 65× | associate-*l*_binary64_2065 |
| 64× | distribute-lft-in_binary64_2073 associate-*l/_binary64_2067 |
| 59× | associate-+r-_binary64_2058 |
| 54× | associate-*r*_binary64_2064 |
| 48× | associate-*r/_binary64_2066 |
| 46× | associate--l-_binary64_2062 |
| 43× | remove-double-neg_binary64_2112 |
| 37× | distribute-rgt1-in_binary64_2080 |
| 36× | +-rgt-identity_binary64_2109 |
| 30× | sqr-pow_binary64_2096 |
| 26× | div-sub_binary64_2129 sub0-neg_binary64_2111 |
| 24× | associate--r-_binary64_2063 |
| 22× | cube-prod_binary64_2152 |
| 20× | distribute-lft-out_binary64_2075 |
| 17× | pow-plus_binary64_2187 --rgt-identity_binary64_2110 |
| 16× | *-rgt-identity_binary64_2114 cancel-sign-sub_binary64_2089 distribute-neg-out_binary64_2086 |
| 15× | cube-div_binary64_2153 pow-sqr_binary64_2097 |
| 12× | distribute-lft-neg-out_binary64_2083 distribute-lft1-in_binary64_2079 |
| 11× | *-lft-identity_binary64_2113 |
| 10× | difference-of-squares_binary64_2093 |
| 9× | +-lft-identity_binary64_2108 mul0-lft_binary64_2106 distribute-rgt-neg-out_binary64_2084 |
| 8× | exp-lft-sqr_binary64_2179 +-inverses_binary64_2103 |
| 6× | mul0-rgt_binary64_2107 |
| 5× | prod-exp_binary64_2173 difference-of-sqr--1_binary64_2095 |
| 4× | pow-base-1_binary64_2184 unswap-sqr_binary64_2092 |
| 3× | cube-unmult_binary64_2161 |
| 2× | unpow3_binary64_2190 sqr-neg_binary64_2138 difference-of-sqr-1_binary64_2094 count-2_binary64_2072 associate-/r*_binary64_2068 |
| 1× | exp-neg_binary64_2171 1-exp_binary64_2168 exp-1-e_binary64_2167 cube-mult_binary64_2154 /-rgt-identity_binary64_2115 div0_binary64_2105 distribute-neg-frac_binary64_2088 |
| 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 unpow2_binary64_2189 unpow1/2_binary64_2188 exp-to-pow_binary64_2186 unpow0_binary64_2183 unpow1_binary64_2182 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 div-exp_binary64_2175 rec-exp_binary64_2174 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 rem-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 times-frac_binary64_2130 mul-1-neg_binary64_2116 *-inverses_binary64_2104 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 distribute-frac-neg_binary64_2087 associate-/l/_binary64_2071 associate-/r/_binary64_2070 associate-/l*_binary64_2069 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 28 |
| 1 | 33 | 28 |
| 2 | 90 | 28 |
| 3 | 254 | 28 |
| 4 | 721 | 10 |
| 5 | 1439 | 10 |
| 6 | 3194 | 10 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 2 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 4 | 2 | 6 |
Compiled 85 to 71 computations (16.5% saved)
Found 2 expressions with local error:
| 0.3b | (*.f64 t (*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008))) |
| 0.3b | (*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 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 |
| 6× | associate-*l*_binary64_2065 |
| 5× | add-sqr-sqrt_binary64_2146 |
| 4× | add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 |
| 2× | add-log-exp_binary64_2163 associate-*r*_binary64_2064 *-commutative_binary64_2055 |
| 1× | unswap-sqr_binary64_2092 |
2 calls:
| 7.0ms | (*.f64 t (*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008))) |
| 6.0ms | (*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008)) |
Compiled 514 to 367 computations (28.6% saved)
2 calls:
| 38.0ms | (*.f64 t (*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008))) |
| 24.0ms | (*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008)) |
Compiled 90 to 76 computations (15.6% saved)
| 1× | egg-herbie |
| 506× | associate-*l*_binary64_2065 |
| 494× | times-frac_binary64_2130 |
| 426× | distribute-rgt-in_binary64_2074 |
| 309× | distribute-rgt-out_binary64_2077 |
| 253× | associate-*r*_binary64_2064 |
| 236× | *-commutative_binary64_2055 |
| 201× | sqr-pow_binary64_2096 |
| 196× | associate-/l*_binary64_2069 |
| 182× | unswap-sqr_binary64_2092 |
| 144× | exp-prod_binary64_2176 |
| 138× | log-prod_binary64_2210 |
| 137× | cube-prod_binary64_2152 |
| 136× | associate-/l/_binary64_2071 |
| 130× | associate-/r/_binary64_2070 |
| 122× | swap-sqr_binary64_2091 |
| 120× | pow-sqr_binary64_2097 |
| 105× | associate-/r*_binary64_2068 |
| 93× | associate-*l/_binary64_2067 |
| 88× | cube-div_binary64_2153 |
| 80× | log-div_binary64_2211 |
| 76× | associate-*r/_binary64_2066 |
| 63× | distribute-lft-out_binary64_2075 |
| 37× | pow-plus_binary64_2187 |
| 27× | *-lft-identity_binary64_2113 |
| 25× | associate-+l+_binary64_2057 |
| 24× | distribute-lft-in_binary64_2073 |
| 20× | /-rgt-identity_binary64_2115 |
| 16× | div-exp_binary64_2175 prod-exp_binary64_2173 |
| 14× | exp-sqrt_binary64_2177 |
| 13× | log-pow_binary64_2213 cube-unmult_binary64_2161 distribute-rgt1-in_binary64_2080 associate-+r+_binary64_2056 |
| 10× | unpow3_binary64_2190 |
| 8× | exp-lft-sqr_binary64_2179 *-rgt-identity_binary64_2114 +-commutative_binary64_2054 |
| 7× | cube-mult_binary64_2154 |
| 6× | distribute-lft1-in_binary64_2079 |
| 5× | count-2_binary64_2072 |
| 4× | rec-exp_binary64_2174 |
| 3× | rem-sqrt-square_binary64_2137 |
| 1× | unpow2_binary64_2189 unpow1_binary64_2182 1-exp_binary64_2168 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 sub-neg_binary64_2117 --rgt-identity_binary64_2110 *-inverses_binary64_2104 rgt-mult-inverse_binary64_2101 |
| 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 unpow1/2_binary64_2188 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 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-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 unsub-neg_binary64_2118 mul-1-neg_binary64_2116 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 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 | 53 | 572 |
| 1 | 121 | 443 |
| 2 | 384 | 419 |
| 3 | 884 | 407 |
| 4 | 1616 | 407 |
| 5 | 2942 | 407 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 6 | 54 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 8 | 56 |
Compiled 688 to 485 computations (29.5% 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:
| 8.0ms | (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t)) |
Compiled 193 to 113 computations (41.5% saved)
1 calls:
| 37.0ms | (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t)) |
Compiled 45 to 43 computations (4.4% saved)
| 1× | egg-herbie |
| 727× | unswap-sqr_binary64_2092 |
| 355× | log-prod_binary64_2210 |
| 312× | exp-prod_binary64_2176 |
| 283× | distribute-rgt-in_binary64_2074 |
| 278× | times-frac_binary64_2130 |
| 222× | distribute-rgt-out_binary64_2077 |
| 217× | distribute-lft-in_binary64_2073 |
| 197× | cube-div_binary64_2153 |
| 190× | log-div_binary64_2211 |
| 189× | associate-*l*_binary64_2065 |
| 133× | exp-sum_binary64_2170 |
| 125× | associate-+l+_binary64_2057 |
| 122× | associate-*r*_binary64_2064 |
| 121× | sqr-pow_binary64_2096 |
| 118× | *-commutative_binary64_2055 |
| 101× | associate-/l*_binary64_2069 |
| 81× | associate-/r/_binary64_2070 |
| 74× | associate-/l/_binary64_2071 |
| 73× | cube-prod_binary64_2152 |
| 71× | associate-+r+_binary64_2056 |
| 64× | pow-sqr_binary64_2097 |
| 63× | associate-/r*_binary64_2068 |
| 60× | unpow3_binary64_2190 swap-sqr_binary64_2091 |
| 57× | cube-mult_binary64_2154 |
| 55× | associate-*l/_binary64_2067 |
| 43× | pow-plus_binary64_2187 |
| 35× | associate-*r/_binary64_2066 |
| 28× | exp-sqrt_binary64_2177 distribute-lft-out_binary64_2075 |
| 23× | log-pow_binary64_2213 exp-lft-sqr_binary64_2179 |
| 17× | distribute-rgt1-in_binary64_2080 |
| 16× | div-exp_binary64_2175 prod-exp_binary64_2173 |
| 15× | *-lft-identity_binary64_2113 |
| 13× | /-rgt-identity_binary64_2115 +-commutative_binary64_2054 |
| 12× | log-rec_binary64_2212 |
| 11× | cube-unmult_binary64_2161 |
| 6× | distribute-lft1-in_binary64_2079 count-2_binary64_2072 |
| 5× | *-rgt-identity_binary64_2114 |
| 4× | rec-exp_binary64_2174 |
| 1× | unpow2_binary64_2189 pow-base-1_binary64_2184 unpow1_binary64_2182 1-exp_binary64_2168 exp-1-e_binary64_2167 rem-log-exp_binary64_2165 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 sub-neg_binary64_2117 --rgt-identity_binary64_2110 *-inverses_binary64_2104 rgt-mult-inverse_binary64_2101 |
| 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 unpow1/2_binary64_2188 exp-to-pow_binary64_2186 unpow0_binary64_2183 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-cbrt_binary64_2178 exp-diff_binary64_2172 exp-neg_binary64_2171 e-exp-1_binary64_2169 exp-0_binary64_2166 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-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 div-sub_binary64_2129 unsub-neg_binary64_2118 mul-1-neg_binary64_2116 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 234 |
| 1 | 74 | 189 |
| 2 | 227 | 189 |
| 3 | 418 | 189 |
| 4 | 804 | 189 |
| 5 | 1960 | 189 |
| 6 | 3770 | 189 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 20 | 1 | 21 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 24 | 5 | 29 |
Compiled 244 to 163 computations (33.2% saved)
Found 2 expressions with local error:
| 0.3b | (*.f64 (*.f64 t t) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
| 0.3b | (*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 (*.f64 t t) (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 |
| 8× | add-sqr-sqrt_binary64_2146 |
| 7× | associate-*l*_binary64_2065 sqrt-prod_binary64_2140 associate-*r*_binary64_2064 |
| 6× | add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 |
| 2× | add-log-exp_binary64_2163 *-commutative_binary64_2055 unswap-sqr_binary64_2092 |
2 calls:
| 10.0ms | (*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 (*.f64 t t) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))) |
| 8.0ms | (*.f64 (*.f64 t t) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
Compiled 732 to 529 computations (27.7% saved)
2 calls:
| 40.0ms | (*.f64 (*.f64 t t) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
| 39.0ms | (*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 (*.f64 t t) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))) |
Compiled 117 to 112 computations (4.3% saved)
| 1× | egg-herbie |
| 685× | associate-*l/_binary64_2067 |
| 678× | associate-*r/_binary64_2066 |
| 240× | log-prod_binary64_2210 |
| 204× | *-commutative_binary64_2055 |
| 188× | unswap-sqr_binary64_2092 |
| 181× | log-div_binary64_2211 |
| 178× | times-frac_binary64_2130 |
| 175× | distribute-rgt-in_binary64_2074 |
| 149× | associate-*l*_binary64_2065 |
| 145× | sqr-pow_binary64_2096 |
| 131× | associate-*r*_binary64_2064 |
| 114× | associate-+l+_binary64_2057 |
| 111× | cube-div_binary64_2153 |
| 97× | distribute-lft-in_binary64_2073 |
| 96× | exp-sqrt_binary64_2177 |
| 89× | exp-prod_binary64_2176 |
| 86× | associate-/l*_binary64_2069 |
| 81× | associate-/r*_binary64_2068 |
| 72× | swap-sqr_binary64_2091 |
| 69× | cube-prod_binary64_2152 |
| 68× | associate-/r/_binary64_2070 |
| 61× | pow-sqr_binary64_2097 |
| 57× | *-rgt-identity_binary64_2114 |
| 52× | *-lft-identity_binary64_2113 associate-+r+_binary64_2056 |
| 49× | associate-+l-_binary64_2059 |
| 45× | associate-+r-_binary64_2058 |
| 36× | /-rgt-identity_binary64_2115 |
| 34× | associate--r+_binary64_2060 |
| 32× | associate-/l/_binary64_2071 |
| 26× | pow-plus_binary64_2187 |
| 20× | sub-neg_binary64_2117 distribute-rgt-out_binary64_2077 |
| 19× | associate--r-_binary64_2063 |
| 17× | log-pow_binary64_2213 exp-lft-sqr_binary64_2179 |
| 13× | log-rec_binary64_2212 |
| 12× | unpow3_binary64_2190 associate--l-_binary64_2062 associate--l+_binary64_2061 |
| 11× | cancel-sign-sub-inv_binary64_2090 |
| 10× | +-commutative_binary64_2054 |
| 9× | cube-unmult_binary64_2161 cube-mult_binary64_2154 rem-sqrt-square_binary64_2137 distribute-rgt1-in_binary64_2080 |
| 7× | count-2_binary64_2072 |
| 3× | exp-sum_binary64_2170 distribute-lft-out_binary64_2075 |
| 2× | exp-diff_binary64_2172 div-sub_binary64_2129 distribute-neg-in_binary64_2085 distribute-lft1-in_binary64_2079 |
| 1× | unpow2_binary64_2189 pow-base-1_binary64_2184 unpow1_binary64_2182 prod-exp_binary64_2173 1-exp_binary64_2168 exp-1-e_binary64_2167 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 rem-square-sqrt_binary64_2136 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-lft_binary64_2106 *-inverses_binary64_2104 |
| 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 unpow1/2_binary64_2188 exp-to-pow_binary64_2186 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-neg_binary64_2171 e-exp-1_binary64_2169 exp-0_binary64_2166 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 unsub-neg_binary64_2118 mul-1-neg_binary64_2116 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 mul0-rgt_binary64_2107 div0_binary64_2105 +-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_binary64_2089 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 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 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 733 |
| 1 | 148 | 539 |
| 2 | 565 | 537 |
| 3 | 847 | 537 |
| 4 | 3265 | 537 |
| 5 | 4892 | 537 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 0 | 97 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 97 | 5 | 102 |
Compiled 1439 to 1060 computations (26.3% saved)
Found 1 expressions with local error:
| 0.4b | (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008)) |
| 1× | rewrite-expression-head |
| 40× | pow1_binary64_2185 |
| 17× | pow-prod-down_binary64_2195 |
| 13× | add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 |
| 8× | prod-exp_binary64_2173 cbrt-unprod_binary64_2157 |
| 4× | pow-prod-up_binary64_2194 pow-sqr_binary64_2097 |
| 2× | pow-plus_binary64_2187 |
| 1× | pow2_binary64_2205 add-log-exp_binary64_2163 add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124 swap-sqr_binary64_2091 associate-*l*_binary64_2065 associate-*r*_binary64_2064 *-commutative_binary64_2055 |
1 calls:
| 6.0ms | (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008)) |
Compiled 382 to 290 computations (24.1% saved)
1 calls:
| 33.0ms | (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008)) |
Compiled 45 to 43 computations (4.4% saved)
| 1× | egg-herbie |
| 531× | associate-*l*_binary64_2065 |
| 420× | cube-prod_binary64_2152 times-frac_binary64_2130 |
| 347× | log-prod_binary64_2210 |
| 294× | distribute-rgt-in_binary64_2074 |
| 232× | distribute-lft-in_binary64_2073 |
| 218× | distribute-rgt-out_binary64_2077 |
| 210× | associate-*r*_binary64_2064 |
| 192× | exp-prod_binary64_2176 |
| 163× | cube-div_binary64_2153 |
| 146× | *-commutative_binary64_2055 |
| 142× | swap-sqr_binary64_2091 |
| 130× | log-div_binary64_2211 |
| 125× | unswap-sqr_binary64_2092 |
| 119× | sqr-pow_binary64_2096 |
| 70× | associate-+l+_binary64_2057 |
| 61× | associate-+r+_binary64_2056 |
| 60× | associate-/r*_binary64_2068 |
| 57× | unpow3_binary64_2190 |
| 56× | pow-sqr_binary64_2097 |
| 53× | cube-mult_binary64_2154 associate-*l/_binary64_2067 |
| 52× | associate-/l*_binary64_2069 |
| 47× | pow-plus_binary64_2187 |
| 37× | distribute-lft-out_binary64_2075 |
| 32× | associate-/r/_binary64_2070 |
| 31× | exp-sum_binary64_2170 |
| 21× | associate-*r/_binary64_2066 |
| 20× | log-pow_binary64_2213 associate-/l/_binary64_2071 |
| 16× | div-exp_binary64_2175 prod-exp_binary64_2173 |
| 12× | distribute-rgt1-in_binary64_2080 |
| 11× | log-rec_binary64_2212 cube-unmult_binary64_2161 |
| 10× | exp-sqrt_binary64_2177 /-rgt-identity_binary64_2115 *-lft-identity_binary64_2113 |
| 7× | exp-lft-sqr_binary64_2179 |
| 6× | *-rgt-identity_binary64_2114 count-2_binary64_2072 |
| 4× | pow-base-1_binary64_2184 rec-exp_binary64_2174 distribute-lft1-in_binary64_2079 distribute-rgt-out--_binary64_2078 |
| 2× | cancel-sign-sub-inv_binary64_2090 distribute-lft-neg-in_binary64_2081 +-commutative_binary64_2054 |
| 1× | unpow2_binary64_2189 unpow1_binary64_2182 1-exp_binary64_2168 rem-log-exp_binary64_2165 rem-sqrt-square_binary64_2137 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 sub-neg_binary64_2117 --rgt-identity_binary64_2110 *-inverses_binary64_2104 remove-double-div_binary64_2100 |
| 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 unpow1/2_binary64_2188 exp-to-pow_binary64_2186 unpow0_binary64_2183 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-cbrt_binary64_2178 exp-diff_binary64_2172 exp-neg_binary64_2171 e-exp-1_binary64_2169 exp-1-e_binary64_2167 exp-0_binary64_2166 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 unsub-neg_binary64_2118 mul-1-neg_binary64_2116 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 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-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 | 39 | 370 |
| 1 | 90 | 265 |
| 2 | 322 | 250 |
| 3 | 915 | 250 |
| 4 | 1832 | 250 |
| 5 | 3721 | 250 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 0 | 73 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 73 | 5 | 78 |
Compiled 924 to 688 computations (25.5% saved)
Total 0.3b remaining (99%)
Threshold costs 0.3b (99%)
Compiled 1470 to 1214 computations (17.4% saved)
| 1× | egg-herbie |
| 2× | *-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 | 5 | 7 |
| 1 | 7 | 7 |
(* f64 h0 (=> (* f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 h0)))
*-commutative_binary64_2055 =>
(* f64 h0 (* f64 h0 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)) |
| 1× | intervals |
| 657.0ms | 8000× | body | 256 | valid |
| 108.0ms | 8000× | pre | 128 | true |
Compiled 504 to 416 computations (17.5% saved)
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