Details

Time bar (total: 4.2s)

analyze2.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 23 to 20 computations (13% saved)

sample34.0ms (0.8%)

Algorithm
intervals
Results
20.0ms256×body256valid
3.0ms256×pre128true
Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify526.0ms (12.5%)

Algorithm
egg-herbie
Rules
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
+-lft-identity_binary64_2108 mul0-lft_binary64_2106 distribute-rgt-neg-out_binary64_2084
exp-lft-sqr_binary64_2179 +-inverses_binary64_2103
mul0-rgt_binary64_2107
prod-exp_binary64_2173 difference-of-sqr--1_binary64_2095
pow-base-1_binary64_2184 unswap-sqr_binary64_2092
cube-unmult_binary64_2161
unpow3_binary64_2190 sqr-neg_binary64_2138 difference-of-sqr-1_binary64_2094 count-2_binary64_2072 associate-/r*_binary64_2068
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
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
Counts
1 → 5
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01228
13328
29028
325428
472110
5143910
6319410

prune9.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New325
Fresh101
Picked000
Done000
Total426
Error
0.1b
Counts
6 → 2
Compiler

Compiled 85 to 71 computations (16.5% saved)

localize5.0ms (0.1%)

Local error

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))

rewrite58.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157
associate-*l*_binary64_2065
add-sqr-sqrt_binary64_2146
add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
add-log-exp_binary64_2163 associate-*r*_binary64_2064 *-commutative_binary64_2055
unswap-sqr_binary64_2092
Counts
2 → 40
Calls

2 calls:

7.0ms
(*.f64 t (*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008)))
6.0ms
(*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008))
Compiler

Compiled 514 to 367 computations (28.6% saved)

series67.0ms (1.6%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

38.0ms
(*.f64 t (*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008)))
24.0ms
(*.f64 t (*.f64 2028240960365167/10141204801825835211973625643008 2028240960365167/10141204801825835211973625643008))
Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify419.0ms (10%)

Algorithm
egg-herbie
Rules
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
exp-lft-sqr_binary64_2179 *-rgt-identity_binary64_2114 +-commutative_binary64_2054
cube-mult_binary64_2154
distribute-lft1-in_binary64_2079
count-2_binary64_2072
rec-exp_binary64_2174
rem-sqrt-square_binary64_2137
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
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
Counts
46 → 54
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053572
1121443
2384419
3884407
41616407
52942407

prune56.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48654
Fresh011
Picked011
Done000
Total48856
Error
0.0b
Counts
56 → 8
Compiler

Compiled 688 to 485 computations (29.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 add-sqr-sqrt_binary64_2146 associate-*l*_binary64_2065
add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
add-log-exp_binary64_2163 unswap-sqr_binary64_2092 associate-*r*_binary64_2064 *-commutative_binary64_2055
Counts
1 → 19
Calls

1 calls:

8.0ms
(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))
Compiler

Compiled 193 to 113 computations (41.5% saved)

series39.0ms (0.9%)

Error
0.0b
Counts
1 → 3
Calls

1 calls:

37.0ms
(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))
Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify159.0ms (3.8%)

Algorithm
egg-herbie
Rules
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
distribute-lft1-in_binary64_2079 count-2_binary64_2072
*-rgt-identity_binary64_2114
rec-exp_binary64_2174
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
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
Counts
22 → 21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035234
174189
2227189
3418189
4804189
51960189
63770189

prune24.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20121
Fresh336
Picked101
Done011
Total24529
Error
0b
Counts
29 → 5
Compiler

Compiled 244 to 163 computations (33.2% saved)

localize6.0ms (0.1%)

Local error

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)))

rewrite73.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157
add-sqr-sqrt_binary64_2146
associate-*l*_binary64_2065 sqrt-prod_binary64_2140 associate-*r*_binary64_2064
add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
add-log-exp_binary64_2163 *-commutative_binary64_2055 unswap-sqr_binary64_2092
Counts
2 → 47
Calls

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))
Compiler

Compiled 732 to 529 computations (27.7% saved)

series83.0ms (2%)

Error
0b
Counts
2 → 6
Calls

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)))
Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify365.0ms (8.7%)

Algorithm
egg-herbie
Rules
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
cube-unmult_binary64_2161 cube-mult_binary64_2154 rem-sqrt-square_binary64_2137 distribute-rgt1-in_binary64_2080
count-2_binary64_2072
exp-sum_binary64_2170 distribute-lft-out_binary64_2075
exp-diff_binary64_2172 div-sub_binary64_2129 distribute-neg-in_binary64_2085 distribute-lft1-in_binary64_2079
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
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
Counts
53 → 97
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066733
1148539
2565537
3847537
43265537
54892537

prune103.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh033
Picked011
Done011
Total975102
Error
0b
Counts
102 → 5
Compiler

Compiled 1439 to 1060 computations (26.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))

rewrite38.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
40×pow1_binary64_2185
17×pow-prod-down_binary64_2195
13×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
prod-exp_binary64_2173 cbrt-unprod_binary64_2157
pow-prod-up_binary64_2194 pow-sqr_binary64_2097
pow-plus_binary64_2187
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
Counts
1 → 34
Calls

1 calls:

6.0ms
(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))
Compiler

Compiled 382 to 290 computations (24.1% saved)

series35.0ms (0.8%)

Error
0b
Counts
1 → 3
Calls

1 calls:

33.0ms
(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))
Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify222.0ms (5.3%)

Algorithm
egg-herbie
Rules
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
exp-lft-sqr_binary64_2179
*-rgt-identity_binary64_2114 count-2_binary64_2072
pow-base-1_binary64_2184 rec-exp_binary64_2174 distribute-lft1-in_binary64_2079 distribute-rgt-out--_binary64_2078
cancel-sign-sub-inv_binary64_2090 distribute-lft-neg-in_binary64_2081 +-commutative_binary64_2054
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
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
Counts
37 → 73
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039370
190265
2322250
3915250
41832250
53721250

prune64.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh022
Picked011
Done022
Total73578
Error
0b
Counts
78 → 5
Compiler

Compiled 924 to 688 computations (25.5% saved)

regimes198.0ms (4.7%)

Accuracy

Total 0.3b remaining (99%)

Threshold costs 0.3b (99%)

Compiler

Compiled 1470 to 1214 computations (17.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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
057
177
Proof
(* f64 h0 (=> (* f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 h0))) *-commutative_binary64_2055 => (* f64 h0 (* f64 h0 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

end0.0ms (0%)

sample1.6s (37.5%)

Algorithm
intervals
Results
657.0ms8000×body256valid
108.0ms8000×pre128true
Compiler

Compiled 504 to 416 computations (17.5% saved)

Profiling

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