Details

Time bar (total: 6.6s)

analyze225.0ms (3.4%)

Algorithm
search
egg-herbie
Rules
+-commutative_binary64_2054
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_2387 erf-erfc_binary64_2386 erf-odd_binary64_2385 if-if-and-not_binary64_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 not-gte_binary64_2376 not-lte_binary64_2375 not-gt_binary64_2374 not-lt_binary64_2373 gte-same_binary64_2372 lte-same_binary64_2371 gt-same_binary64_2370 lt-same_binary64_2369 sinh---cosh_binary64_2316 sinh-+-cosh_binary64_2315 sinh-cosh_binary64_2314 tanh-def-c_binary64_2313 tanh-def-b_binary64_2312 tanh-def-a_binary64_2311 cosh-def_binary64_2310 sinh-def_binary64_2309 tan-neg_binary64_2256 cos-neg_binary64_2255 sin-neg_binary64_2254 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 hang-m-tan_binary64_2250 hang-p-tan_binary64_2249 hang-m0-tan_binary64_2248 hang-p0-tan_binary64_2247 hang-0m-tan_binary64_2246 hang-0p-tan_binary64_2245 tan-+PI/2_binary64_2244 tan-+PI_binary64_2243 tan-PI_binary64_2242 tan-PI/3_binary64_2241 tan-PI/4_binary64_2240 tan-PI/6_binary64_2239 cos-+PI/2_binary64_2238 cos-+PI_binary64_2237 cos-PI_binary64_2236 cos-PI/2_binary64_2235 cos-PI/3_binary64_2234 cos-PI/4_binary64_2233 cos-PI/6_binary64_2232 sin-+PI/2_binary64_2231 sin-+PI_binary64_2230 sin-PI_binary64_2229 sin-PI/2_binary64_2228 sin-PI/3_binary64_2227 sin-PI/4_binary64_2226 sin-PI/6_binary64_2225 sub-1-sin_binary64_2224 sub-1-cos_binary64_2223 -1-add-sin_binary64_2222 -1-add-cos_binary64_2221 1-sub-sin_binary64_2220 1-sub-cos_binary64_2219 cos-sin-sum_binary64_2218 log-E_binary64_2214 log-pow_binary64_2213 log-rec_binary64_2212 log-div_binary64_2211 log-prod_binary64_2210 pow-base-0_binary64_2208 unpow1/3_binary64_2191 unpow3_binary64_2190 unpow2_binary64_2189 unpow1/2_binary64_2188 pow-plus_binary64_2187 exp-to-pow_binary64_2186 pow-base-1_binary64_2184 unpow0_binary64_2183 unpow1_binary64_2182 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 exp-prod_binary64_2176 div-exp_binary64_2175 rec-exp_binary64_2174 prod-exp_binary64_2173 exp-diff_binary64_2172 exp-neg_binary64_2171 exp-sum_binary64_2170 e-exp-1_binary64_2169 1-exp_binary64_2168 exp-1-e_binary64_2167 exp-0_binary64_2166 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 cube-unmult_binary64_2161 cube-mult_binary64_2154 cube-div_binary64_2153 cube-prod_binary64_2152 cube-neg_binary64_2151 rem-3cbrt-rft_binary64_2150 rem-3cbrt-lft_binary64_2149 rem-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-abs_binary64_2139 sqr-neg_binary64_2138 rem-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 times-frac_binary64_2130 div-sub_binary64_2129 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 unsub-neg_binary64_2118 sub-neg_binary64_2117 mul-1-neg_binary64_2116 /-rgt-identity_binary64_2115 *-rgt-identity_binary64_2114 *-lft-identity_binary64_2113 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 *-inverses_binary64_2104 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 pow-sqr_binary64_2097 sqr-pow_binary64_2096 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 unswap-sqr_binary64_2092 swap-sqr_binary64_2091 cancel-sign-sub-inv_binary64_2090 cancel-sign-sub_binary64_2089 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-neg-in_binary64_2085 distribute-rgt-neg-out_binary64_2084 distribute-lft-neg-out_binary64_2083 distribute-rgt-neg-in_binary64_2082 distribute-lft-neg-in_binary64_2081 distribute-rgt1-in_binary64_2080 distribute-lft1-in_binary64_2079 distribute-rgt-out--_binary64_2078 distribute-rgt-out_binary64_2077 distribute-lft-out--_binary64_2076 distribute-lft-out_binary64_2075 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 count-2_binary64_2072 associate-/l/_binary64_2071 associate-/r/_binary64_2070 associate-/l*_binary64_2069 associate-/r*_binary64_2068 associate-*l/_binary64_2067 associate-*r/_binary64_2066 associate-*l*_binary64_2065 associate-*r*_binary64_2064 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 associate-+l+_binary64_2057 associate-+r+_binary64_2056 *-commutative_binary64_2055
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
1926
2926
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
62.4%37.5%0.1%4
68.7%31.2%0.1%5
68.7%18.7%12.6%6
68.7%18.7%12.6%7
68.7%12.5%18.8%8
68.7%12.5%18.8%9
68.7%9.4%22%10
68.7%9.4%22%11
68.7%7.8%23.5%12
68.7%7.8%23.5%13
68.7%7%24.3%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample17.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms21×body128overflowed
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_2054
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_2387 erf-erfc_binary64_2386 erf-odd_binary64_2385 if-if-and-not_binary64_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 not-gte_binary64_2376 not-lte_binary64_2375 not-gt_binary64_2374 not-lt_binary64_2373 gte-same_binary64_2372 lte-same_binary64_2371 gt-same_binary64_2370 lt-same_binary64_2369 sinh---cosh_binary64_2316 sinh-+-cosh_binary64_2315 sinh-cosh_binary64_2314 tanh-def-c_binary64_2313 tanh-def-b_binary64_2312 tanh-def-a_binary64_2311 cosh-def_binary64_2310 sinh-def_binary64_2309 tan-neg_binary64_2256 cos-neg_binary64_2255 sin-neg_binary64_2254 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 hang-m-tan_binary64_2250 hang-p-tan_binary64_2249 hang-m0-tan_binary64_2248 hang-p0-tan_binary64_2247 hang-0m-tan_binary64_2246 hang-0p-tan_binary64_2245 tan-+PI/2_binary64_2244 tan-+PI_binary64_2243 tan-PI_binary64_2242 tan-PI/3_binary64_2241 tan-PI/4_binary64_2240 tan-PI/6_binary64_2239 cos-+PI/2_binary64_2238 cos-+PI_binary64_2237 cos-PI_binary64_2236 cos-PI/2_binary64_2235 cos-PI/3_binary64_2234 cos-PI/4_binary64_2233 cos-PI/6_binary64_2232 sin-+PI/2_binary64_2231 sin-+PI_binary64_2230 sin-PI_binary64_2229 sin-PI/2_binary64_2228 sin-PI/3_binary64_2227 sin-PI/4_binary64_2226 sin-PI/6_binary64_2225 sub-1-sin_binary64_2224 sub-1-cos_binary64_2223 -1-add-sin_binary64_2222 -1-add-cos_binary64_2221 1-sub-sin_binary64_2220 1-sub-cos_binary64_2219 cos-sin-sum_binary64_2218 log-E_binary64_2214 log-pow_binary64_2213 log-rec_binary64_2212 log-div_binary64_2211 log-prod_binary64_2210 pow-base-0_binary64_2208 unpow1/3_binary64_2191 unpow3_binary64_2190 unpow2_binary64_2189 unpow1/2_binary64_2188 pow-plus_binary64_2187 exp-to-pow_binary64_2186 pow-base-1_binary64_2184 unpow0_binary64_2183 unpow1_binary64_2182 unpow-1_binary64_2181 exp-lft-cube_binary64_2180 exp-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 exp-prod_binary64_2176 div-exp_binary64_2175 rec-exp_binary64_2174 prod-exp_binary64_2173 exp-diff_binary64_2172 exp-neg_binary64_2171 exp-sum_binary64_2170 e-exp-1_binary64_2169 1-exp_binary64_2168 exp-1-e_binary64_2167 exp-0_binary64_2166 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 cube-unmult_binary64_2161 cube-mult_binary64_2154 cube-div_binary64_2153 cube-prod_binary64_2152 cube-neg_binary64_2151 rem-3cbrt-rft_binary64_2150 rem-3cbrt-lft_binary64_2149 rem-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-abs_binary64_2139 sqr-neg_binary64_2138 rem-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 times-frac_binary64_2130 div-sub_binary64_2129 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 unsub-neg_binary64_2118 sub-neg_binary64_2117 mul-1-neg_binary64_2116 /-rgt-identity_binary64_2115 *-rgt-identity_binary64_2114 *-lft-identity_binary64_2113 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 div0_binary64_2105 *-inverses_binary64_2104 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 pow-sqr_binary64_2097 sqr-pow_binary64_2096 difference-of-sqr--1_binary64_2095 difference-of-sqr-1_binary64_2094 difference-of-squares_binary64_2093 unswap-sqr_binary64_2092 swap-sqr_binary64_2091 cancel-sign-sub-inv_binary64_2090 cancel-sign-sub_binary64_2089 distribute-neg-frac_binary64_2088 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086 distribute-neg-in_binary64_2085 distribute-rgt-neg-out_binary64_2084 distribute-lft-neg-out_binary64_2083 distribute-rgt-neg-in_binary64_2082 distribute-lft-neg-in_binary64_2081 distribute-rgt1-in_binary64_2080 distribute-lft1-in_binary64_2079 distribute-rgt-out--_binary64_2078 distribute-rgt-out_binary64_2077 distribute-lft-out--_binary64_2076 distribute-lft-out_binary64_2075 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 count-2_binary64_2072 associate-/l/_binary64_2071 associate-/r/_binary64_2070 associate-/l*_binary64_2069 associate-/r*_binary64_2068 associate-*l/_binary64_2067 associate-*r/_binary64_2066 associate-*l*_binary64_2065 associate-*r*_binary64_2064 associate--r-_binary64_2063 associate--l-_binary64_2062 associate--l+_binary64_2061 associate--r+_binary64_2060 associate-+l-_binary64_2059 associate-+r-_binary64_2058 associate-+l+_binary64_2057 associate-+r+_binary64_2056 *-commutative_binary64_2055
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
2813

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.8b
Counts
1 → 1
Compiler

Compiled 8 to 6 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.7b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite58.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.8b
Rules
21×*-un-lft-identity_binary64_2124
12×times-frac_binary64_2130
11×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146
distribute-lft-out_binary64_2075
add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160 associate-/r*_binary64_2068
add-exp-log_binary64_2162 associate-/l*_binary64_2069
pow1_binary64_2185 flip3-+_binary64_2127 associate-/r/_binary64_2070 flip-+_binary64_2098
div-exp_binary64_2175 cbrt-undiv_binary64_2158 frac-2neg_binary64_2135 clear-num_binary64_2123 div-inv_binary64_2121 sum-log_binary64_2215 +-commutative_binary64_2054
Counts
2 → 45
Calls

2 calls:

7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Compiler

Compiled 750 to 153 computations (79.6% saved)

series330.0ms (5%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

246.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
51.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Compiler

Compiled 1116 to 744 computations (33.3% saved)

simplify63.0ms (1%)

Algorithm
egg-herbie
Rules
459×associate-+l+_binary64_2057
381×times-frac_binary64_2130
378×associate-/l*_binary64_2069
242×associate--l+_binary64_2061
236×associate-/r*_binary64_2068
209×associate--r+_binary64_2060
152×associate-*l/_binary64_2067
141×associate-*l*_binary64_2065
139×associate-*r*_binary64_2064
133×distribute-rgt-in_binary64_2074
112×distribute-lft-in_binary64_2073
102×associate-*r/_binary64_2066
100×cancel-sign-sub-inv_binary64_2090
98×associate-/r/_binary64_2070
96×sub-neg_binary64_2117
93×associate-/l/_binary64_2071
90×+-commutative_binary64_2054
82×associate-+r+_binary64_2056
49×associate-+l-_binary64_2059
46×distribute-neg-in_binary64_2085
44×associate-+r-_binary64_2058
34×sqr-pow_binary64_2096
30×*-commutative_binary64_2055
24×neg-mul-1_binary64_2120 neg-sub0_binary64_2119 distribute-neg-frac_binary64_2088
20×unsub-neg_binary64_2118 distribute-rgt-out_binary64_2077
19×distribute-rgt-neg-in_binary64_2082
16×*-rgt-identity_binary64_2114
15×distribute-lft-neg-in_binary64_2081
12×unswap-sqr_binary64_2092 distribute-lft-out_binary64_2075
11×div-sub_binary64_2129
prod-exp_binary64_2173
associate--l-_binary64_2062
unpow3_binary64_2190 cube-mult_binary64_2154
*-lft-identity_binary64_2113 distribute-lft-neg-out_binary64_2083 distribute-rgt1-in_binary64_2080
unpow2_binary64_2189 unpow1/2_binary64_2188 unpow1_binary64_2182 exp-prod_binary64_2176 cube-unmult_binary64_2161 cube-prod_binary64_2152 /-rgt-identity_binary64_2115
log-div_binary64_2211 distribute-rgt-out--_binary64_2078
cube-div_binary64_2153 distribute-lft1-in_binary64_2079 count-2_binary64_2072
exp-diff_binary64_2172 1-exp_binary64_2168 rem-log-exp_binary64_2165 sub0-neg_binary64_2111 difference-of-squares_binary64_2093 distribute-rgt-neg-out_binary64_2084 distribute-lft-out--_binary64_2076 associate--r-_binary64_2063
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 pow-plus_binary64_2187 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 exp-neg_binary64_2171 exp-sum_binary64_2170 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-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136 mul-1-neg_binary64_2116 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_2104 +-inverses_binary64_2103 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 remove-double-div_binary64_2100 pow-sqr_binary64_2097 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
Counts
69 → 55
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571672
14111601
213281560
352291560

prune61.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New52355
Fresh000
Picked101
Done000
Total53356
Error
0b
Counts
56 → 3
Compiler

Compiled 1086 to 416 computations (61.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (exp.f64 a))
0.0b
(+.f64 (exp.f64 b) (exp.f64 a))
0.2b
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sqrt.f64 (exp.f64 a))))
0.6b
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sqrt.f64 (exp.f64 a)))

rewrite401.0ms (6.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
360×times-frac_binary64_2130
286×*-un-lft-identity_binary64_2124
189×sqrt-prod_binary64_2140
187×add-sqr-sqrt_binary64_2146
186×add-cube-cbrt_binary64_2159
50×distribute-lft-out_binary64_2075
34×associate-/r*_binary64_2068
11×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
10×associate-/l*_binary64_2069
div-inv_binary64_2121
add-log-exp_binary64_2163
pow1_binary64_2185
div-exp_binary64_2175 cbrt-undiv_binary64_2158 sqrt-pow1_binary64_2142
exp-prod_binary64_2176
frac-2neg_binary64_2135 clear-num_binary64_2123 flip3-+_binary64_2127 associate-/l/_binary64_2071 flip-+_binary64_2098
associate-/r/_binary64_2070 sum-log_binary64_2215 +-commutative_binary64_2054 pow1/2_binary64_2204 rem-sqrt-square_binary64_2137
Counts
4 → 293
Calls

4 calls:

18.0ms
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sqrt.f64 (exp.f64 a))))
9.0ms
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
5.0ms
(sqrt.f64 (exp.f64 a))
4.0ms
(+.f64 (exp.f64 b) (exp.f64 a))
Compiler

Compiled 8201 to 1167 computations (85.8% saved)

series594.0ms (9%)

Error
0b
Counts
4 → 42
Calls

4 calls:

250.0ms
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sqrt.f64 (exp.f64 a))))
202.0ms
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
58.0ms
(+.f64 (exp.f64 b) (exp.f64 a))
32.0ms
(sqrt.f64 (exp.f64 a))
Compiler

Compiled 2108 to 1317 computations (37.5% saved)

simplify365.0ms (5.5%)

Algorithm
egg-herbie
Rules
373×associate--l+_binary64_2061
239×associate-/r/_binary64_2070
233×cancel-sign-sub-inv_binary64_2090
227×associate-/l/_binary64_2071
171×distribute-rgt-in_binary64_2074
163×associate-/l*_binary64_2069
158×*-commutative_binary64_2055
152×associate-*l/_binary64_2067
151×associate-*r/_binary64_2066
143×distribute-lft-in_binary64_2073
142×+-commutative_binary64_2054
141×associate-+r+_binary64_2056
125×sub-neg_binary64_2117
111×neg-mul-1_binary64_2120 neg-sub0_binary64_2119
107×associate-+l+_binary64_2057
103×associate-*r*_binary64_2064
101×times-frac_binary64_2130
82×associate-*l*_binary64_2065
74×associate-/r*_binary64_2068
63×distribute-rgt-neg-in_binary64_2082
56×unswap-sqr_binary64_2092 distribute-rgt-out_binary64_2077
55×distribute-lft-neg-in_binary64_2081
50×distribute-neg-in_binary64_2085
40×sqr-pow_binary64_2096
37×distribute-neg-frac_binary64_2088
35×log-div_binary64_2211 exp-prod_binary64_2176 cube-prod_binary64_2152
32×associate--r+_binary64_2060
29×log-prod_binary64_2210 *-rgt-identity_binary64_2114
28×div-sub_binary64_2129 distribute-lft-out_binary64_2075
27×unsub-neg_binary64_2118
23×cube-div_binary64_2153
20×swap-sqr_binary64_2091
17×prod-exp_binary64_2173
14×unpow3_binary64_2190
12×cube-unmult_binary64_2161
11×/-rgt-identity_binary64_2115
10×log-rec_binary64_2212 cube-mult_binary64_2154 rem-sqrt-square_binary64_2137 distribute-lft-neg-out_binary64_2083 distribute-rgt1-in_binary64_2080 associate--l-_binary64_2062
*-lft-identity_binary64_2113
pow-plus_binary64_2187
remove-double-div_binary64_2100 distribute-rgt-out--_binary64_2078
unpow2_binary64_2189 unpow1/2_binary64_2188 unpow1_binary64_2182 distribute-lft1-in_binary64_2079
rem-square-sqrt_binary64_2136 distribute-rgt-neg-out_binary64_2084 distribute-lft-out--_binary64_2076 associate--r-_binary64_2063
log-pow_binary64_2213 count-2_binary64_2072
rec-exp_binary64_2174 exp-sum_binary64_2170 1-exp_binary64_2168 exp-1-e_binary64_2167 rem-log-exp_binary64_2165 rem-3cbrt-rft_binary64_2150 rem-3cbrt-lft_binary64_2149 sqr-abs_binary64_2139 remove-double-neg_binary64_2112 div0_binary64_2105 pow-sqr_binary64_2097 difference-of-squares_binary64_2093 associate-+l-_binary64_2059 associate-+r-_binary64_2058
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-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 div-exp_binary64_2175 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-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-neg_binary64_2138 mul-1-neg_binary64_2116 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-rgt-identity_binary64_2109 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 *-inverses_binary64_2104 +-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 cancel-sign-sub_binary64_2089 distribute-frac-neg_binary64_2087 distribute-neg-out_binary64_2086
Counts
335 → 308
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036511665
190111173
2311810673
3472410559
4497110559

prune306.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3080308
Fresh022
Picked011
Done000
Total3083311
Error
0b
Counts
311 → 3
Compiler

Compiled 7262 to 1111 computations (84.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (exp.f64 b) (exp.f64 a))
0.0b
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
0.3b
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
0.7b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite210.0ms (3.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
81×*-un-lft-identity_binary64_2124
60×times-frac_binary64_2130
47×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146
42×cbrt-prod_binary64_2155
36×unpow-prod-down_binary64_2203 cube-prod_binary64_2152
17×distribute-lft-out_binary64_2075
10×associate-/r/_binary64_2070
add-cbrt-cube_binary64_2160
add-exp-log_binary64_2162
add-log-exp_binary64_2163 flip3-+_binary64_2127 flip-+_binary64_2098
pow1_binary64_2185 div-inv_binary64_2121
associate-/r*_binary64_2068
associate-/l*_binary64_2069 pow-unpow_binary64_2201
div-exp_binary64_2175 cbrt-undiv_binary64_2158 cube-div_binary64_2153 unpow3_binary64_2190 cube-mult_binary64_2154 sqr-pow_binary64_2096 pow-exp_binary64_2192 rem-cube-cbrt_binary64_2147
frac-2neg_binary64_2135 clear-num_binary64_2123 pow1/3_binary64_2206 cbrt-div_binary64_2156 rem-cbrt-cube_binary64_2148 pow-pow_binary64_2196 pow-to-exp_binary64_2193 sum-log_binary64_2215 +-commutative_binary64_2054
Counts
4 → 153
Calls

4 calls:

11.0ms
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
10.0ms
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms
(+.f64 (exp.f64 b) (exp.f64 a))
Compiler

Compiled 3451 to 1079 computations (68.7% saved)

series1.2s (18.5%)

Error
0b
Counts
4 → 48
Calls

4 calls:

591.0ms
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
250.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
243.0ms
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
54.0ms
(+.f64 (exp.f64 b) (exp.f64 a))
Compiler

Compiled 3160 to 2253 computations (28.7% saved)

simplify215.0ms (3.2%)

Algorithm
egg-herbie
Rules
493×unswap-sqr_binary64_2092
178×sub-neg_binary64_2117
163×associate-/l*_binary64_2069
151×sqr-pow_binary64_2096
146×times-frac_binary64_2130
139×+-commutative_binary64_2054
134×log-div_binary64_2211
124×associate-+r+_binary64_2056
106×associate-/r*_binary64_2068
101×associate-*l/_binary64_2067 associate-*r*_binary64_2064 associate-+l+_binary64_2057
98×associate-*r/_binary64_2066
87×log-prod_binary64_2210
70×cube-div_binary64_2153
69×exp-prod_binary64_2176 *-commutative_binary64_2055
68×associate-*l*_binary64_2065
64×associate--l+_binary64_2061
53×associate--r+_binary64_2060
49×cube-prod_binary64_2152
47×neg-mul-1_binary64_2120 neg-sub0_binary64_2119
43×unpow3_binary64_2190
42×log-pow_binary64_2213 cube-mult_binary64_2154
38×unsub-neg_binary64_2118
32×distribute-rgt-in_binary64_2074
31×cancel-sign-sub-inv_binary64_2090 associate-/l/_binary64_2071
26×rem-cbrt-cube_binary64_2148 distribute-lft-in_binary64_2073
25×*-rgt-identity_binary64_2114
22×distribute-neg-in_binary64_2085
19×associate-/r/_binary64_2070
18×div-sub_binary64_2129
13×rem-sqrt-square_binary64_2137 pow-sqr_binary64_2097
11×cube-unmult_binary64_2161 *-lft-identity_binary64_2113
pow-plus_binary64_2187 prod-exp_binary64_2173
distribute-rgt-neg-in_binary64_2082
swap-sqr_binary64_2091 distribute-neg-frac_binary64_2088
log-rec_binary64_2212 unpow1/2_binary64_2188 unpow1_binary64_2182 distribute-lft-neg-in_binary64_2081
unpow2_binary64_2189 /-rgt-identity_binary64_2115
rem-log-exp_binary64_2165 rem-cube-cbrt_binary64_2147 rem-square-sqrt_binary64_2136 associate-+r-_binary64_2058
+-rgt-identity_binary64_2109 difference-of-squares_binary64_2093 distribute-lft-neg-out_binary64_2083 count-2_binary64_2072
rec-exp_binary64_2174 exp-diff_binary64_2172 1-exp_binary64_2168 rem-3cbrt-lft_binary64_2149 distribute-rgt-out--_binary64_2078 distribute-rgt-out_binary64_2077 distribute-lft-out_binary64_2075 associate-+l-_binary64_2059
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-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 div-exp_binary64_2175 exp-neg_binary64_2171 exp-sum_binary64_2170 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 sqr-abs_binary64_2139 sqr-neg_binary64_2138 mul-1-neg_binary64_2116 remove-double-neg_binary64_2112 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-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 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--r-_binary64_2063 associate--l-_binary64_2062
Counts
201 → 149
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03035940
18485581
231105507
348865507
449565507

prune174.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh011
Picked011
Done011
Total1493152
Error
0b
Counts
152 → 3
Compiler

Compiled 3392 to 1514 computations (55.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (exp.f64 b))
0.0b
(/.f64 a (+.f64 1 (exp.f64 b)))
0.0b
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
0.1b
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))

rewrite325.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
94×*-un-lft-identity_binary64_2124
61×times-frac_binary64_2130
43×add-sqr-sqrt_binary64_2146
31×add-cube-cbrt_binary64_2159 cancel-sign-sub-inv_binary64_2090
20×distribute-lft-out_binary64_2075
17×unpow-prod-down_binary64_2203
11×add-log-exp_binary64_2163 distribute-lft-out--_binary64_2076
unpow2_binary64_2189
div-inv_binary64_2121
add-exp-log_binary64_2162
add-cbrt-cube_binary64_2160
pow1_binary64_2185 difference-of-squares_binary64_2093 sqr-pow_binary64_2096
distribute-rgt-out_binary64_2077 associate-/r*_binary64_2068
frac-sub_binary64_2133 flip3-+_binary64_2127 flip-+_binary64_2098 pow-unpow_binary64_2201 associate-/l*_binary64_2069
sum-log_binary64_2215 diff-log_binary64_2216 associate-/r/_binary64_2070
frac-add_binary64_2132 flip3--_binary64_2128 sub-neg_binary64_2117 flip--_binary64_2099 associate--l+_binary64_2061 pow-pow_binary64_2196 pow-to-exp_binary64_2193 pow-exp_binary64_2192 div-exp_binary64_2175 cbrt-undiv_binary64_2158 frac-2neg_binary64_2135 clear-num_binary64_2123 +-commutative_binary64_2054
Counts
4 → 127
Calls

4 calls:

61.0ms
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
6.0ms
(/.f64 a (+.f64 1 (exp.f64 b)))
5.0ms
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
4.0ms
(+.f64 1 (exp.f64 b))
Compiler

Compiled 4222 to 2751 computations (34.8% saved)

series685.0ms (10.4%)

Error
0b
Counts
4 → 28
Calls

4 calls:

472.0ms
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
115.0ms
(/.f64 a (+.f64 1 (exp.f64 b)))
43.0ms
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
25.0ms
(+.f64 1 (exp.f64 b))
Compiler

Compiled 1562 to 1164 computations (25.5% saved)

simplify180.0ms (2.7%)

Algorithm
egg-herbie
Rules
585×distribute-rgt-in_binary64_2074
550×distribute-lft-in_binary64_2073
209×exp-prod_binary64_2176
127×distribute-neg-frac_binary64_2088
117×distribute-rgt-neg-in_binary64_2082
112×*-commutative_binary64_2055
111×cancel-sign-sub-inv_binary64_2090
109×associate-*l/_binary64_2067
106×sub-neg_binary64_2117
98×neg-sub0_binary64_2119
97×associate-*r/_binary64_2066
89×neg-mul-1_binary64_2120
82×associate-/r*_binary64_2068
78×distribute-lft-neg-in_binary64_2081
75×+-commutative_binary64_2054
73×distribute-lft-neg-out_binary64_2083
72×div-sub_binary64_2129
70×associate-/l*_binary64_2069
68×distribute-rgt-out_binary64_2077
67×times-frac_binary64_2130
63×associate-*l*_binary64_2065
59×sqr-pow_binary64_2096
53×associate-*r*_binary64_2064
49×log-prod_binary64_2210 distribute-frac-neg_binary64_2087
48×distribute-rgt-neg-out_binary64_2084
47×unswap-sqr_binary64_2092
39×distribute-neg-in_binary64_2085 associate-/l/_binary64_2071
37×associate-+l+_binary64_2057
32×cube-prod_binary64_2152
28×associate-+r+_binary64_2056
26×distribute-lft-out_binary64_2075
25×distribute-rgt-out--_binary64_2078
24×unpow3_binary64_2190
21×log-pow_binary64_2213
19×distribute-rgt1-in_binary64_2080
17×exp-sum_binary64_2170 cube-div_binary64_2153
16×swap-sqr_binary64_2091
15×*-rgt-identity_binary64_2114
13×pow-plus_binary64_2187 *-lft-identity_binary64_2113
12×log-div_binary64_2211 associate-/r/_binary64_2070 associate--l+_binary64_2061
11×unsub-neg_binary64_2118
pow-sqr_binary64_2097 associate-+r-_binary64_2058
unpow1/2_binary64_2188
unpow2_binary64_2189 /-rgt-identity_binary64_2115 difference-of-squares_binary64_2093 distribute-lft-out--_binary64_2076
unpow1_binary64_2182 exp-diff_binary64_2172 cube-unmult_binary64_2161 cube-mult_binary64_2154
div-exp_binary64_2175 prod-exp_binary64_2173 div0_binary64_2105 distribute-lft1-in_binary64_2079
+-rgt-identity_binary64_2109
rem-sqrt-square_binary64_2137 rem-square-sqrt_binary64_2136
rem-3cbrt-lft_binary64_2149 associate-+l-_binary64_2059
log-rec_binary64_2212 1-exp_binary64_2168 exp-1-e_binary64_2167 rem-3cbrt-rft_binary64_2150 mul-1-neg_binary64_2116 remove-double-neg_binary64_2112 lft-mult-inverse_binary64_2102 rgt-mult-inverse_binary64_2101 difference-of-sqr--1_binary64_2095 count-2_binary64_2072 associate--r+_binary64_2060
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-lft-sqr_binary64_2179 exp-cbrt_binary64_2178 exp-sqrt_binary64_2177 rec-exp_binary64_2174 exp-neg_binary64_2171 e-exp-1_binary64_2169 exp-0_binary64_2166 rem-log-exp_binary64_2165 rem-exp-log_binary64_2164 cube-neg_binary64_2151 rem-cbrt-cube_binary64_2148 rem-cube-cbrt_binary64_2147 sqr-abs_binary64_2139 sqr-neg_binary64_2138 sub0-neg_binary64_2111 --rgt-identity_binary64_2110 +-lft-identity_binary64_2108 mul0-rgt_binary64_2107 mul0-lft_binary64_2106 *-inverses_binary64_2104 +-inverses_binary64_2103 remove-double-div_binary64_2100 difference-of-sqr-1_binary64_2094 cancel-sign-sub_binary64_2089 distribute-neg-out_binary64_2086 associate--r-_binary64_2063 associate--l-_binary64_2062
Counts
155 → 131
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02823716
17173496
220143031
347133031
449943031
549443031

prune204.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done022
Total1313134
Error
0b
Counts
134 → 3
Compiler

Compiled 3540 to 2343 computations (33.8% saved)

regimes152.0ms (2.3%)

Accuracy

Total 0.7b remaining (78.5%)

Threshold costs 0.7b (78.5%)

Compiler

Compiled 1184 to 909 computations (23.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

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
01019
11119
21119

end0.0ms (0%)

sample780.0ms (11.8%)

Algorithm
intervals
Results
228.0ms8000×body128valid
16.0ms719×body128overflowed
Compiler

Compiled 249 to 196 computations (21.3% saved)

Profiling

Loading profile data...