Details

Time bar (total: 844.0ms)

analyze193.0ms (22.9%)

Algorithm
search
egg-herbie
Rules
*-commutative_binary64_2055
associate-/r/_binary64_2070 associate-/l*_binary64_2069
swap-x-y
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 1-exp_binary64_2168 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 sqr-neg_binary64_2138 rem-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 times-frac_binary64_2130 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 *-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 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 pow-sqr_binary64_2097 sqr-pow_binary64_2096 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 unswap-sqr_binary64_2092 swap-sqr_binary64_2091 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-rgt1-in_binary64_2080 distribute-lft1-in_binary64_2079 distribute-rgt-out--_binary64_2078 distribute-rgt-out_binary64_2077 distribute-lft-out--_binary64_2076 distribute-lft-out_binary64_2075 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 count-2_binary64_2072 associate-/l/_binary64_2071 associate-/r*_binary64_2068 associate-*l/_binary64_2067 associate-*r/_binary64_2066 associate-*l*_binary64_2065 associate-*r*_binary64_2064 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 associate-+l+_binary64_2057 associate-+r+_binary64_2056 +-commutative_binary64_2054
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11114
21514
31714
41714
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
81.2%18.7%0.1%7
81.2%15.6%3.2%8
84.3%10.9%4.8%9
84.3%8.6%7.1%10
85.9%5.9%8.3%11
85.9%4.5%9.7%12
86.6%3%10.3%13
86.6%2.3%11.1%14
Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample19.0ms (2.2%)

Algorithm
intervals
Results
5.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify8.0ms (1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_2055
associate-/r/_binary64_2070 associate-/l*_binary64_2069
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 1-exp_binary64_2168 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 sqr-neg_binary64_2138 rem-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 times-frac_binary64_2130 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 *-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 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 pow-sqr_binary64_2097 sqr-pow_binary64_2096 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 unswap-sqr_binary64_2092 swap-sqr_binary64_2091 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-rgt1-in_binary64_2080 distribute-lft1-in_binary64_2079 distribute-rgt-out--_binary64_2078 distribute-rgt-out_binary64_2077 distribute-lft-out--_binary64_2076 distribute-lft-out_binary64_2075 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 count-2_binary64_2072 associate-/l/_binary64_2071 associate-/r*_binary64_2068 associate-*l/_binary64_2067 associate-*r/_binary64_2066 associate-*l*_binary64_2065 associate-*r*_binary64_2064 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 associate-+l+_binary64_2057 associate-+r+_binary64_2056 +-commutative_binary64_2054
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3167
4177
5177

prune1.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 5 to 5 computations (0% saved)

localize3.0ms (0.4%)

rewrite1.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify12.0ms (1.4%)

Algorithm
egg-herbie
Rules
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 1-exp_binary64_2168 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 sqr-neg_binary64_2138 rem-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 times-frac_binary64_2130 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 *-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 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 pow-sqr_binary64_2097 sqr-pow_binary64_2096 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 unswap-sqr_binary64_2092 swap-sqr_binary64_2091 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-rgt1-in_binary64_2080 distribute-lft1-in_binary64_2079 distribute-rgt-out--_binary64_2078 distribute-rgt-out_binary64_2077 distribute-lft-out--_binary64_2076 distribute-lft-out_binary64_2075 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 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 associate-*l*_binary64_2065 associate-*r*_binary64_2064 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 associate-+l+_binary64_2057 associate-+r+_binary64_2056 *-commutative_binary64_2055 +-commutative_binary64_2054
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 5 to 5 computations (0% saved)

simplify8.0ms (1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_2055
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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
277
Remove

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample596.0ms (70.6%)

Algorithm
intervals
Results
147.0ms8000×body128valid
8.0ms133×body128invalid
Compiler

Compiled 16 to 18 computations (-12.5% saved)

Profiling

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