Details

Time bar (total: 45.8s)

analyze1.5s (3.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
24.9%74.7%0.4%8
24.9%74.7%0.4%9
24.9%74.7%0.4%10
25.7%73.9%0.4%11
25.7%73.9%0.4%12
25.7%73.9%0.4%13
25.7%73.9%0.4%14
Compiler

Compiled 32 to 29 computations (9.4% saved)

sample41.0ms (0.1%)

Algorithm
intervals
Results
21.0ms256×body128valid
Compiler

Compiled 63 to 66 computations (-4.8% saved)

simplify139.0ms (0.3%)

Algorithm
egg-herbie
Rules
764×div-sub_binary64_2129
396×distribute-rgt-in_binary64_2074
346×sub-neg_binary64_2117
240×distribute-lft-in_binary64_2073
222×exp-diff_binary64_2172
211×associate--r+_binary64_2060
206×exp-sum_binary64_2170
194×associate-/l*_binary64_2069
192×unsub-neg_binary64_2118
179×distribute-neg-in_binary64_2085
168×associate--r-_binary64_2063
140×cancel-sign-sub-inv_binary64_2090
110×associate-+l-_binary64_2059
105×cancel-sign-sub_binary64_2089
101×associate-+l+_binary64_2057
99×neg-mul-1_binary64_2120
95×associate-+r+_binary64_2056
93×associate--l+_binary64_2061
88×associate-/r/_binary64_2070
86×associate-+r-_binary64_2058
84×exp-prod_binary64_2176
77×distribute-lft-neg-out_binary64_2083
76×distribute-rgt-neg-in_binary64_2082
75×+-commutative_binary64_2054
69×neg-sub0_binary64_2119
67×distribute-lft-neg-in_binary64_2081 associate-/r*_binary64_2068
58×associate-/l/_binary64_2071
52×distribute-rgt-neg-out_binary64_2084
51×associate-*l*_binary64_2065 associate--l-_binary64_2062
47×sub0-neg_binary64_2111
41×associate-*r*_binary64_2064
34×associate-*r/_binary64_2066
33×distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087
28×remove-double-neg_binary64_2112
26×associate-*l/_binary64_2067
24×*-commutative_binary64_2055
21×distribute-neg-out_binary64_2086
19×exp-neg_binary64_2171
18×+-rgt-identity_binary64_2109
12×+-lft-identity_binary64_2108
11×sqr-pow_binary64_2096
10×distribute-rgt-out--_binary64_2078
times-frac_binary64_2130 distribute-rgt-out_binary64_2077
prod-exp_binary64_2173 --rgt-identity_binary64_2110
div0_binary64_2105
pow-sqr_binary64_2097
rec-exp_binary64_2174 mul0-rgt_binary64_2107 mul0-lft_binary64_2106
cube-unmult_binary64_2161 unswap-sqr_binary64_2092 distribute-lft-out--_binary64_2076
1-exp_binary64_2168 sqr-neg_binary64_2138 *-rgt-identity_binary64_2114 *-lft-identity_binary64_2113 distribute-rgt1-in_binary64_2080 distribute-lft-out_binary64_2075 count-2_binary64_2072
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 div-exp_binary64_2175 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-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 mul-1-neg_binary64_2116 /-rgt-identity_binary64_2115 *-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 swap-sqr_binary64_2091 distribute-lft1-in_binary64_2079
Counts
1 → 6
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02846
15746
215744
342444
494144
5189444

prune12.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New516
Fresh101
Picked000
Done000
Total617
Error
0.0b
Counts
7 → 1
Compiler

Compiled 205 to 121 computations (41% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))))
0.0b
(/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)
0.0b
(exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))
0.0b
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite279.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
153×*-un-lft-identity_binary64_2124
69×times-frac_binary64_2130
54×add-sqr-sqrt_binary64_2146
46×add-cube-cbrt_binary64_2159
39×distribute-lft-out_binary64_2075
31×distribute-lft-out--_binary64_2076
22×exp-prod_binary64_2176
16×associate-/l*_binary64_2069
10×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 associate-/r*_binary64_2068
add-log-exp_binary64_2163
pow1_binary64_2185 difference-of-squares_binary64_2093 div-inv_binary64_2121 associate-/l/_binary64_2071 associate-+r-_binary64_2058
div-exp_binary64_2175 cbrt-undiv_binary64_2158 frac-2neg_binary64_2135 div-sub_binary64_2129 clear-num_binary64_2123
flip3-+_binary64_2127 flip-+_binary64_2098 associate-/r/_binary64_2070
flip3--_binary64_2128 flip--_binary64_2099 exp-diff_binary64_2172 rem-exp-log_binary64_2164
Counts
4 → 152
Calls

4 calls:

19.0ms
(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))))
15.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
12.0ms
(exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))
11.0ms
(/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)
Compiler

Compiled 5982 to 1717 computations (71.3% saved)

series2.1s (4.6%)

Error
0.0b
Counts
4 → 112
Calls

4 calls:

1.1s
(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))))
333.0ms
(exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))
276.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
270.0ms
(/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)
Compiler

Compiled 13928 to 8515 computations (38.9% saved)

simplify534.0ms (1.2%)

Algorithm
egg-herbie
Rules
620×times-frac_binary64_2130
385×associate-/l*_binary64_2069
346×associate-/r*_binary64_2068
163×distribute-rgt-in_binary64_2074
161×+-commutative_binary64_2054
156×associate-*l/_binary64_2067
155×distribute-lft-in_binary64_2073
137×*-commutative_binary64_2055
118×associate-+r+_binary64_2056
111×sub-neg_binary64_2117
82×associate-/r/_binary64_2070
66×associate-*r/_binary64_2066
56×associate-/l/_binary64_2071
49×distribute-neg-in_binary64_2085
43×div-sub_binary64_2129
42×sqr-pow_binary64_2096
37×neg-sub0_binary64_2119
33×neg-mul-1_binary64_2120
29×associate-*r*_binary64_2064
25×associate--l+_binary64_2061
24×cancel-sign-sub-inv_binary64_2090
22×distribute-rgt-out_binary64_2077
15×pow-sqr_binary64_2097
14×distribute-neg-frac_binary64_2088
13×/-rgt-identity_binary64_2115
12×associate--r+_binary64_2060
11×unswap-sqr_binary64_2092
10×distribute-lft-out_binary64_2075
unpow2_binary64_2189 exp-sum_binary64_2170
unpow3_binary64_2190 exp-diff_binary64_2172 cube-unmult_binary64_2161 cube-mult_binary64_2154 distribute-rgt-neg-in_binary64_2082 associate-*l*_binary64_2065
log-div_binary64_2211 pow-plus_binary64_2187 mul-1-neg_binary64_2116 *-rgt-identity_binary64_2114
*-lft-identity_binary64_2113
prod-exp_binary64_2173 distribute-lft-neg-in_binary64_2081
exp-prod_binary64_2176 distribute-lft-neg-out_binary64_2083 associate-+r-_binary64_2058
pow-base-1_binary64_2184 unsub-neg_binary64_2118 count-2_binary64_2072
1-exp_binary64_2168 exp-1-e_binary64_2167 rem-log-exp_binary64_2165 *-inverses_binary64_2104 difference-of-squares_binary64_2093 distribute-rgt-out--_binary64_2078 associate--r-_binary64_2063 associate--l-_binary64_2062
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-prod_binary64_2210 pow-base-0_binary64_2208 unpow1/3_binary64_2191 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-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 div-exp_binary64_2175 rec-exp_binary64_2174 exp-neg_binary64_2171 e-exp-1_binary64_2169 exp-0_binary64_2166 rem-exp-log_binary64_2164 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 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_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 swap-sqr_binary64_2091 cancel-sign-sub_binary64_2089 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-rgt-neg-out_binary64_2084 distribute-rgt1-in_binary64_2080 distribute-lft1-in_binary64_2079 distribute-lft-out--_binary64_2076 associate-+l-_binary64_2059 associate-+l+_binary64_2057
Counts
264 → 554
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06528035
117317722

prune1.1s (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New5522554
Fresh000
Picked011
Done000
Total5523555
Error
0.0b
Counts
555 → 3
Compiler

Compiled 25153 to 6963 computations (72.3% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)
0.0b
(exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT))
0.0b
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.1b
(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1) NaChar))

rewrite395.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
232×*-un-lft-identity_binary64_2124
159×times-frac_binary64_2130
96×add-sqr-sqrt_binary64_2146
88×add-cube-cbrt_binary64_2159
54×distribute-lft-out_binary64_2075
38×distribute-lft-out--_binary64_2076
25×exp-prod_binary64_2176
22×associate-/r*_binary64_2068
19×add-exp-log_binary64_2162
17×associate-/l*_binary64_2069
13×add-cbrt-cube_binary64_2160
div-exp_binary64_2175
div-inv_binary64_2121 associate-/l/_binary64_2071
pow1_binary64_2185 add-log-exp_binary64_2163 cbrt-undiv_binary64_2158
difference-of-squares_binary64_2093 frac-add_binary64_2132
frac-2neg_binary64_2135 clear-num_binary64_2123 div-sub_binary64_2129 flip3--_binary64_2128 flip--_binary64_2099 flip3-+_binary64_2127 flip-+_binary64_2098
1-exp_binary64_2168 rec-exp_binary64_2174 associate-+r-_binary64_2058
inv-pow_binary64_2209 pow-flip_binary64_2198 associate-/r/_binary64_2070 exp-diff_binary64_2172 rem-exp-log_binary64_2164
Counts
4 → 218
Calls

4 calls:

20.0ms
(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1) NaChar))
14.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
13.0ms
(/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)
13.0ms
(exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT))
Compiler

Compiled 9489 to 3218 computations (66.1% saved)

series2.1s (4.5%)

Error
0.0b
Counts
4 → 111
Calls

4 calls:

994.0ms
(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1) NaChar))
328.0ms
(exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT))
289.0ms
(/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)
278.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
Compiler

Compiled 13778 to 8596 computations (37.6% saved)

simplify623.0ms (1.4%)

Algorithm
egg-herbie
Rules
620×times-frac_binary64_2130
454×associate-/l*_binary64_2069
215×distribute-rgt-in_binary64_2074
205×distribute-lft-in_binary64_2073
196×associate-/r/_binary64_2070
157×+-commutative_binary64_2054
147×*-commutative_binary64_2055
120×associate-/l/_binary64_2071
115×sub-neg_binary64_2117
112×associate-+r+_binary64_2056
68×associate-*r/_binary64_2066
46×distribute-neg-in_binary64_2085
43×div-sub_binary64_2129
38×neg-sub0_binary64_2119 sqr-pow_binary64_2096
35×neg-mul-1_binary64_2120
33×associate-*r*_binary64_2064
27×cancel-sign-sub-inv_binary64_2090
26×associate-/r*_binary64_2068
25×associate--l+_binary64_2061
22×distribute-rgt-out_binary64_2077
18×/-rgt-identity_binary64_2115
15×unswap-sqr_binary64_2092 distribute-neg-frac_binary64_2088
14×pow-sqr_binary64_2097
10×cube-unmult_binary64_2161 *-rgt-identity_binary64_2114 associate--r+_binary64_2060
unpow2_binary64_2189 exp-sum_binary64_2170 associate-*l*_binary64_2065
log-div_binary64_2211 distribute-rgt-neg-in_binary64_2082
exp-diff_binary64_2172 distribute-lft-out_binary64_2075
mul-1-neg_binary64_2116 *-lft-identity_binary64_2113
unpow3_binary64_2190 pow-plus_binary64_2187 cube-mult_binary64_2154 distribute-lft-neg-in_binary64_2081
exp-prod_binary64_2176 prod-exp_binary64_2173 remove-double-div_binary64_2100 associate-*l/_binary64_2067 associate--r-_binary64_2063 associate-+r-_binary64_2058
distribute-lft-neg-out_binary64_2083
log-rec_binary64_2212 log-prod_binary64_2210 swap-sqr_binary64_2091 distribute-rgt-out--_binary64_2078 count-2_binary64_2072 associate-+l+_binary64_2057
1-exp_binary64_2168 exp-1-e_binary64_2167 rem-log-exp_binary64_2165 unsub-neg_binary64_2118 sub0-neg_binary64_2111 *-inverses_binary64_2104 associate--l-_binary64_2062
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 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 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 div-exp_binary64_2175 rec-exp_binary64_2174 exp-neg_binary64_2171 e-exp-1_binary64_2169 exp-0_binary64_2166 rem-exp-log_binary64_2164 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 remove-double-neg_binary64_2112 --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_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-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-rgt-neg-out_binary64_2084 distribute-rgt1-in_binary64_2080 distribute-lft1-in_binary64_2079 distribute-lft-out--_binary64_2076 associate-+l-_binary64_2059
Counts
329 → 584
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074410519
1195010080

prune1.1s (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5840584
Fresh011
Picked011
Done011
Total5843587
Error
0.0b
Counts
587 → 3
Compiler

Compiled 28691 to 9476 computations (67% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))
0.0b
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.1b
(/.f64 (/.f64 NaChar (sqrt.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))
0.1b
(/.f64 NaChar (sqrt.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1)))

rewrite1.0s (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
417×times-frac_binary64_2130
385×*-un-lft-identity_binary64_2124
224×sqrt-prod_binary64_2140
218×add-sqr-sqrt_binary64_2146
210×add-cube-cbrt_binary64_2159
71×distribute-lft-out_binary64_2075
37×associate-/l*_binary64_2069
27×distribute-lft-out--_binary64_2076
22×exp-prod_binary64_2176
20×sqrt-div_binary64_2141 associate-/r/_binary64_2070
17×associate-/r*_binary64_2068
13×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
12×div-inv_binary64_2121
10×flip3-+_binary64_2127 flip-+_binary64_2098
div-exp_binary64_2175 add-log-exp_binary64_2163 cbrt-undiv_binary64_2158
pow1_binary64_2185 difference-of-squares_binary64_2093
frac-2neg_binary64_2135 clear-num_binary64_2123 associate-/l/_binary64_2071
div-sub_binary64_2129 associate-+r-_binary64_2058
flip3--_binary64_2128 flip--_binary64_2099 exp-diff_binary64_2172 rem-exp-log_binary64_2164
Counts
4 → 362
Calls

4 calls:

45.0ms
(/.f64 (/.f64 NaChar (sqrt.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))
20.0ms
(/.f64 NaChar (sqrt.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1)))
12.0ms
(exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))
12.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
Compiler

Compiled 24757 to 7789 computations (68.5% saved)

series22.1s (48.2%)

Error
0.0b
Counts
4 → 96
Calls

4 calls:

20.5s
(/.f64 (/.f64 NaChar (sqrt.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))
901.0ms
(/.f64 NaChar (sqrt.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)) 1)))
288.0ms
(exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT))
258.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
Compiler

Compiled 22252 to 12493 computations (43.9% saved)

simplify1.7s (3.7%)

Algorithm
egg-herbie
Rules
395×associate-/l/_binary64_2071
281×associate-/r*_binary64_2068
276×associate-/l*_binary64_2069
268×times-frac_binary64_2130
243×associate-*r*_binary64_2064
203×associate-*l*_binary64_2065
191×associate-*l/_binary64_2067
172×associate-*r/_binary64_2066
167×*-commutative_binary64_2055
98×sub-neg_binary64_2117
88×associate-/r/_binary64_2070 +-commutative_binary64_2054
77×distribute-rgt-in_binary64_2074
75×distribute-lft-in_binary64_2073
47×sqr-pow_binary64_2096
43×associate-+r+_binary64_2056
39×div-sub_binary64_2129
38×distribute-rgt-out_binary64_2077
33×/-rgt-identity_binary64_2115
31×neg-sub0_binary64_2119
30×cancel-sign-sub-inv_binary64_2090
29×neg-mul-1_binary64_2120 distribute-neg-in_binary64_2085
22×unswap-sqr_binary64_2092 associate--l+_binary64_2061
21×distribute-lft-out_binary64_2075
20×pow-sqr_binary64_2097
14×*-rgt-identity_binary64_2114
13×*-lft-identity_binary64_2113
10×unpow3_binary64_2190 exp-sum_binary64_2170 cube-mult_binary64_2154 swap-sqr_binary64_2091 associate--r+_binary64_2060
count-2_binary64_2072
log-div_binary64_2211 unpow2_binary64_2189 distribute-neg-frac_binary64_2088
prod-exp_binary64_2173 exp-diff_binary64_2172 cube-unmult_binary64_2161 distribute-rgt-neg-in_binary64_2082
exp-prod_binary64_2176 rem-square-sqrt_binary64_2136
distribute-lft-neg-in_binary64_2081 associate-+r-_binary64_2058
rem-sqrt-square_binary64_2137 mul-1-neg_binary64_2116
log-prod_binary64_2210 pow-plus_binary64_2187 pow-base-1_binary64_2184 cube-prod_binary64_2152 difference-of-squares_binary64_2093 distribute-lft-neg-out_binary64_2083 associate--l-_binary64_2062
1-exp_binary64_2168 exp-1-e_binary64_2167 rem-log-exp_binary64_2165 sqr-abs_binary64_2139 *-inverses_binary64_2104 distribute-rgt1-in_binary64_2080 distribute-rgt-out--_binary64_2078 associate--r-_binary64_2063 associate-+l+_binary64_2057
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 pow-base-0_binary64_2208 unpow1/3_binary64_2191 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-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 div-exp_binary64_2175 rec-exp_binary64_2174 exp-neg_binary64_2171 e-exp-1_binary64_2169 exp-0_binary64_2166 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-neg_binary64_2138 unsub-neg_binary64_2118 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_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 cancel-sign-sub_binary64_2089 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-rgt-neg-out_binary64_2084 distribute-lft1-in_binary64_2079 distribute-lft-out--_binary64_2076 associate-+l-_binary64_2059
Counts
458 → 2050
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086325970
1186124151

prune7.3s (15.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New205002050
Fresh000
Picked011
Done022
Total205032053
Error
0.0b
Counts
2053 → 3
Compiler

Compiled 140790 to 43972 computations (68.8% saved)

regimes1.1s (2.4%)

Accuracy

Total 0.0b remaining (33.6%)

Threshold costs 0.0b (33.6%)

Compiler

Compiled 17690 to 14858 computations (16% saved)

bsearch0.0ms (0%)

simplify12.0ms (0%)

Algorithm
egg-herbie
Rules
60×unsub-neg_binary64_2118
53×neg-mul-1_binary64_2120 neg-sub0_binary64_2119
38×distribute-neg-out_binary64_2086
22×remove-double-neg_binary64_2112
21×distribute-neg-in_binary64_2085
20×distribute-rgt-neg-in_binary64_2082
19×cancel-sign-sub-inv_binary64_2090 +-commutative_binary64_2054
18×distribute-rgt-neg-out_binary64_2084
16×sub-neg_binary64_2117
15×distribute-lft-neg-in_binary64_2081
12×distribute-lft-neg-out_binary64_2083
10×*-commutative_binary64_2055
+-lft-identity_binary64_2108
+-rgt-identity_binary64_2109 distribute-frac-neg_binary64_2087
1-exp_binary64_2168 sqr-neg_binary64_2138 --rgt-identity_binary64_2110
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 exp-1-e_binary64_2167 exp-0_binary64_2166 sqr-abs_binary64_2139 mul-1-neg_binary64_2116 /-rgt-identity_binary64_2115 *-rgt-identity_binary64_2114 *-lft-identity_binary64_2113 sub0-neg_binary64_2111 cancel-sign-sub_binary64_2089 distribute-neg-frac_binary64_2088
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02846
14946
26546
38944
412344
514244
619244
725144
822344
922444
Proof
(+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (neg f64 (=> (- f64 (- f64 (- f64 h1 h2) h3) h4))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) sub-neg_binary64_2117 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (neg f64 (=> (+ f64 (- f64 (- f64 h1 h2) h3) (neg f64 h4)))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) +-commutative_binary64_2054 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (=> (neg f64 (+ f64 (neg f64 h4) (- f64 (- f64 h1 h2) h3)))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) distribute-neg-in_binary64_2085 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 (=> (neg f64 (neg f64 h4))) (neg f64 (- f64 (- f64 h1 h2) h3))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) remove-double-neg_binary64_2112 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 h4 (neg f64 (=> (- f64 (- f64 h1 h2) h3)))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) sub-neg_binary64_2117 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 h4 (neg f64 (=> (+ f64 (- f64 h1 h2) (neg f64 h3))))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) +-commutative_binary64_2054 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 h4 (=> (neg f64 (+ f64 (neg f64 h3) (- f64 h1 h2))))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) distribute-neg-in_binary64_2085 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 h4 (=> (+ f64 (neg f64 (neg f64 h3)) (neg f64 (- f64 h1 h2))))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) unsub-neg_binary64_2118 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 h4 (- f64 (=> (neg f64 (neg f64 h3))) (- f64 h1 h2))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4)) h5))))) remove-double-neg_binary64_2112 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 h4 (- f64 h3 (- f64 h1 h2))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (=> (+ f64 (+ f64 (+ f64 h7 h2) h8) (neg f64 h4))) h5))))) unsub-neg_binary64_2118 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 h4 (- f64 h3 (- f64 h1 h2))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (- f64 (+ f64 (=> (+ f64 h7 h2)) h8) h4) h5))))) +-commutative_binary64_2054 => (+ f64 (/ f64 h0 (+ f64 1 (exp f64 (/ f64 (+ f64 h4 (- f64 h3 (- f64 h1 h2))) h5)))) (/ f64 h6 (+ f64 1 (exp f64 (/ f64 (- f64 (+ f64 (+ f64 h2 h7) h8) h4) h5)))))

end0.0ms (0%)

sample2.5s (5.5%)

Algorithm
intervals
Results
871.0ms8000×body128valid
3.0msbody8192exit
Compiler

Compiled 1822 to 1528 computations (16.1% saved)

Profiling

Loading profile data...