Details

Time bar (total: 3.2s)

analyze2.0ms (0.1%)

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

Compiled 23 to 20 computations (13% saved)

sample33.0ms (1%)

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

Compiled 42 to 38 computations (9.5% saved)

simplify336.0ms (10.4%)

Algorithm
egg-herbie
Rules
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
+-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 difference-of-sqr--1_binary64_2095
--rgt-identity_binary64_2110 +-inverses_binary64_2103
1-exp_binary64_2168 sqr-neg_binary64_2138 mul-1-neg_binary64_2116
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
Counts
1 → 5
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01228
13425
29222
324219
46157
515247
624457
730837
837637
940767
1040217
1140347
1240457
1338877
1440807
1543147
1644397
1746547
1848587
1949857
2048277

prune13.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
0.3b
Counts
6 → 1
Compiler

Compiled 74 to 60 computations (18.9% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.2b
(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite42.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
add-sqr-sqrt_binary64_2146
associate-*l*_binary64_2065
add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 associate-*r*_binary64_2064
add-log-exp_binary64_2163 *-commutative_binary64_2055
unswap-sqr_binary64_2092
Counts
2 → 36
Calls

2 calls:

5.0ms
(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
4.0ms
(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
Compiler

Compiled 356 to 232 computations (34.8% saved)

series45.0ms (1.4%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

25.0ms
(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
16.0ms
(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify102.0ms (3.2%)

Algorithm
egg-herbie
Rules
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
unpow1/2_binary64_2188 count-2_binary64_2072
exp-lft-sqr_binary64_2179
cube-unmult_binary64_2161 sub-neg_binary64_2117
distribute-rgt1-in_binary64_2080
unpow2_binary64_2189 distribute-lft1-in_binary64_2079
unpow1_binary64_2182 prod-exp_binary64_2173 1-exp_binary64_2168 exp-1-e_binary64_2167
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
Counts
42 → 53
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052349
1108301
2323292
3595290
4903290
51659290
63654290
74823290
84984290

prune47.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New45853
Fresh000
Picked101
Done000
Total46854
Error
0.0b
Counts
54 → 8
Compiler

Compiled 618 to 389 computations (37.1% saved)

localize5.0ms (0.2%)

Local error

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))

rewrite56.0ms (1.8%)

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
associate-*r*_binary64_2064
add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
associate-*l*_binary64_2065
sqrt-prod_binary64_2140
add-log-exp_binary64_2163 *-commutative_binary64_2055
Counts
2 → 42
Calls

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))
Compiler

Compiled 605 to 473 computations (21.8% saved)

series53.0ms (1.7%)

Error
0.0b
Counts
2 → 6
Calls

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))
Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify108.0ms (3.4%)

Algorithm
egg-herbie
Rules
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
unpow1/2_binary64_2188 distribute-rgt-out_binary64_2077 count-2_binary64_2072
cube-div_binary64_2153
exp-lft-sqr_binary64_2179
cube-unmult_binary64_2161
distribute-rgt1-in_binary64_2080
unpow2_binary64_2189
unpow1_binary64_2182 distribute-lft1-in_binary64_2079
1-exp_binary64_2168 exp-1-e_binary64_2167 cube-mult_binary64_2154
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
Counts
48 → 68
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065442
1151349
2524337
3787335
41203335
51733335
64547335
74962335
85066335

prune51.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh347
Picked011
Done000
Total70676
Error
0b
Counts
76 → 6
Compiler

Compiled 765 to 534 computations (30.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.5%)

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:

5.0ms
(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))
Compiler

Compiled 193 to 113 computations (41.5% saved)

series28.0ms (0.9%)

Error
0b
Counts
1 → 3
Calls

1 calls:

24.0ms
(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))
Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify71.0ms (2.2%)

Algorithm
egg-herbie
Rules
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
distribute-rgt1-in_binary64_2080
cube-unmult_binary64_2161
distribute-lft1-in_binary64_2079
/-rgt-identity_binary64_2115
unpow2_binary64_2189
unpow1/2_binary64_2188 unpow1_binary64_2182 1-exp_binary64_2168 rem-sqrt-square_binary64_2137
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
Counts
22 → 20
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038219
175183
2174174
3416174
4624174
51003174
61910174
74650174
84846174

prune16.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New18220
Fresh224
Picked011
Done011
Total20626
Error
0b
Counts
26 → 6
Compiler

Compiled 208 to 132 computations (36.5% saved)

localize5.0ms (0.2%)

Local error

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))

rewrite52.0ms (1.6%)

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
associate-*l*_binary64_2065
add-sqr-sqrt_binary64_2146
add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
associate-*r*_binary64_2064
sqrt-prod_binary64_2140
add-log-exp_binary64_2163 *-commutative_binary64_2055
unswap-sqr_binary64_2092
Counts
2 → 43
Calls

2 calls:

8.0ms
(*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008))
6.0ms
(*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008)
Compiler

Compiled 608 to 416 computations (31.6% saved)

series55.0ms (1.7%)

Error
0b
Counts
2 → 6
Calls

2 calls:

26.0ms
(*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008))
25.0ms
(*.f64 (*.f64 t t) 2028240960365167/10141204801825835211973625643008)
Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify69.0ms (2.2%)

Algorithm
egg-herbie
Rules
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
pow-plus_binary64_2187 distribute-rgt1-in_binary64_2080 count-2_binary64_2072
log-div_binary64_2211 cube-div_binary64_2153
cube-unmult_binary64_2161
unpow3_binary64_2190 unpow1/2_binary64_2188 distribute-lft1-in_binary64_2079
log-pow_binary64_2213
cube-mult_binary64_2154 /-rgt-identity_binary64_2115
unpow2_binary64_2189 unpow1_binary64_2182 exp-lft-sqr_binary64_2179 exp-sqrt_binary64_2177 1-exp_binary64_2168 exp-1-e_binary64_2167
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
Counts
49 → 78
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062574
1128436
2426409
3674409
41003409
52012409
64929409

prune57.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684
Error
0b
Counts
84 → 6
Compiler

Compiled 944 to 610 computations (35.4% saved)

regimes210.0ms (6.5%)

Accuracy

Total 0.3b remaining (99.5%)

Threshold costs 0.3b (99.5%)

Compiler

Compiled 1860 to 1489 computations (19.9% 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
0810
11110
21010

end0.0ms (0%)

sample1.7s (53.9%)

Algorithm
intervals
Results
650.0ms8000×body256valid
112.0ms8000×pre128true
Compiler

Compiled 637 to 511 computations (19.8% saved)

Profiling

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