Details

analyze669.0ms (5%)

Algorithm

1×	search
2×	egg-herbie

Rules

11×	`+-commutative_binary64_2054`
6×	`*-commutative_binary64_2055`
0×	`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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	210
1	45	210
2	45	210
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_2055 +-commutative_binary64_2054

0× 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

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	18	30
2	18	30

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

24.9b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
0.3b	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
24.5b	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite96.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

24.8b

Rules

11×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130`
7×	`add-log-exp_binary64_2163`
5×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`pow1_binary64_2185` `associate-/l_binary64_2069` `associate-/r_binary64_2068`
2×	`associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `sum-log_binary64_2215` `+-commutative_binary64_2054`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

3 → 53

Calls

3 calls:

10.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
4.0ms	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
4.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 1469 to 193 computations (86.9% saved)

series862.0ms (6.5%)

Error

5.6b

Counts

3 → 63

Calls

3 calls:

472.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
200.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
138.0ms	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))

Compiler

Compiled 2202 to 1389 computations (36.9% saved)

simplify198.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-l_binary64_2065`
414×	`cancel-sign-sub-inv_binary64_2090`
384×	`associate-r_binary64_2064`
382×	`unswap-sqr_binary64_2092`
246×	`distribute-rgt-neg-in_binary64_2082`
174×	`distribute-rgt-in_binary64_2074`
169×	`*-commutative_binary64_2055`
158×	`div-sub_binary64_2129`
150×	`distribute-lft-in_binary64_2073`
117×	`associate-/l*_binary64_2069`
108×	`sub-neg_binary64_2117`
76×	`associate-/r*_binary64_2068`
69×	`times-frac_binary64_2130` `sqr-pow_binary64_2096`
68×	`distribute-neg-frac_binary64_2088`
67×	`distribute-lft-neg-out_binary64_2083`
64×	`distribute-lft-neg-in_binary64_2081`
60×	`neg-sub0_binary64_2119` `associate-*l/_binary64_2067`
55×	`neg-mul-1_binary64_2120`
51×	`associate-/l/_binary64_2071`
50×	`associate-*r/_binary64_2066`
46×	`difference-of-squares_binary64_2093`
41×	`exp-sum_binary64_2170`
40×	`exp-prod_binary64_2176` `associate-/r/_binary64_2070`
38×	`unpow3_binary64_2190`
36×	`distribute-rgt-neg-out_binary64_2084` `+-commutative_binary64_2054`
34×	`associate-+l+_binary64_2057`
31×	`cube-prod_binary64_2152`
30×	`associate-+r+_binary64_2056`
29×	`distribute-rgt-out_binary64_2077`
28×	`pow-plus_binary64_2187`
24×	`unsub-neg_binary64_2118`
22×	`associate-+r-_binary64_2058`
21×	`cube-unmult_binary64_2161`
19×	`+-rgt-identity_binary64_2109`
18×	`distribute-neg-in_binary64_2085` `associate-+l-_binary64_2059`
16×	`distribute-rgt-out--_binary64_2078`
15×	`pow-sqr_binary64_2097`
13×	`distribute-lft-out_binary64_2075`
12×	`sub0-neg_binary64_2111`
11×	`cube-mult_binary64_2154`
10×	`/-rgt-identity_binary64_2115`
9×	`*-rgt-identity_binary64_2114`
5×	`swap-sqr_binary64_2091` `distribute-lft-out--_binary64_2076`
4×	`exp-diff_binary64_2172` `*-lft-identity_binary64_2113` `cancel-sign-sub_binary64_2089` `associate--l+_binary64_2061`
3×	`log-div_binary64_2211` `cube-div_binary64_2153`
2×	`log-prod_binary64_2210` `unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `prod-exp_binary64_2173` `sqr-neg_binary64_2138` `rem-sqrt-square_binary64_2137` `associate--l-_binary64_2062` `associate--r+_binary64_2060`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `div0_binary64_2105`
0×	`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` `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` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `--rgt-identity_binary64_2110` `+-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` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072` `associate--r-_binary64_2063`

Counts

116 → 66

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	2899
1	321	2693
2	964	2693
3	3077	2693
4	4563	2693
5	4992	2693
6	4996	2693
7	4955	2693

prune110.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Error

24.7b

Counts

67 → 9

Compiler

Compiled 1807 to 762 computations (57.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
13.0b	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
29.1b	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
29.1b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite200.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

24.7b

Rules

43×	`*-un-lft-identity_binary64_2124`
28×	`sqrt-prod_binary64_2140`
25×	`add-sqr-sqrt_binary64_2146`
24×	`times-frac_binary64_2130`
23×	`add-cube-cbrt_binary64_2159`
10×	`unpow-prod-down_binary64_2203` `distribute-lft-out_binary64_2075`
8×	`associate-/r*_binary64_2068`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-div_binary64_2141`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`associate-/l*_binary64_2069`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070`
1×	`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

4 → 94

Calls

4 calls:

17.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
9.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
5.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
4.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 3563 to 1385 computations (61.1% saved)

series1.3s (10%)

Error

21.7b

Counts

4 → 96

Calls

4 calls:

616.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
219.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
187.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
185.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 5968 to 3755 computations (37.1% saved)

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

618×	`times-frac_binary64_2130`
500×	`associate-/l*_binary64_2069`
288×	`associate-/r*_binary64_2068`
216×	`cancel-sign-sub-inv_binary64_2090`
195×	`associate-*l/_binary64_2067`
165×	`neg-mul-1_binary64_2120`
148×	`distribute-rgt-neg-in_binary64_2082`
134×	`distribute-lft-neg-in_binary64_2081`
128×	`sub-neg_binary64_2117`
122×	`distribute-rgt-in_binary64_2074`
98×	`associate-r_binary64_2064`
91×	`associate-/r/_binary64_2070`
87×	`distribute-lft-in_binary64_2073`
84×	`associate-l_binary64_2065`
81×	`associate-/l/_binary64_2071`
75×	`*-commutative_binary64_2055`
73×	`distribute-neg-frac_binary64_2088`
60×	`unswap-sqr_binary64_2092`
57×	`div-sub_binary64_2129`
56×	`neg-sub0_binary64_2119`
53×	`+-commutative_binary64_2054`
45×	`sqr-pow_binary64_2096`
33×	`associate--r+_binary64_2060`
32×	`distribute-neg-in_binary64_2085`
28×	`associate-*r/_binary64_2066`
26×	`distribute-rgt-out_binary64_2077`
22×	`unsub-neg_binary64_2118`
18×	`distribute-lft-neg-out_binary64_2083` `associate--l+_binary64_2061`
17×	`distribute-rgt-out--_binary64_2078` `distribute-lft-out_binary64_2075`
14×	`unpow3_binary64_2190`
11×	`cube-unmult_binary64_2161` `cube-prod_binary64_2152` `associate-+l+_binary64_2057`
10×	`cube-mult_binary64_2154`
9×	`exp-prod_binary64_2176` `difference-of-squares_binary64_2093` `associate-+r-_binary64_2058`
8×	`*-rgt-identity_binary64_2114`
6×	`pow-plus_binary64_2187` `+-rgt-identity_binary64_2109`
5×	`rem-sqrt-square_binary64_2137` `distribute-lft-out--_binary64_2076`
4×	`log-div_binary64_2211` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `pow-sqr_binary64_2097` `swap-sqr_binary64_2091` `distribute-rgt-neg-out_binary64_2084` `associate-+r+_binary64_2056`
2×	`unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `rem-square-sqrt_binary64_2136` `associate-+l-_binary64_2059`
1×	`log-prod_binary64_2210` `prod-exp_binary64_2173` `1-exp_binary64_2168` `cube-div_binary64_2153` `*-lft-identity_binary64_2113`
0×	`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` `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-diff_binary64_2172` `exp-neg_binary64_2171` `exp-sum_binary64_2170` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `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-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

190 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	5293
1	526	4998
2	1643	4998
3	4851	4986
4	4993	4986

prune154.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	92	10	102

Error

22.0b

Counts

102 → 10

Compiler

Compiled 3071 to 1330 computations (56.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
13.0b	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
29.1b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
29.1b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite245.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

22.0b

Rules

47×	`*-un-lft-identity_binary64_2124`
30×	`sqrt-prod_binary64_2140`
25×	`add-sqr-sqrt_binary64_2146`
24×	`times-frac_binary64_2130`
23×	`add-cube-cbrt_binary64_2159`
12×	`unpow-prod-down_binary64_2203` `distribute-lft-out_binary64_2075`
8×	`associate-/r*_binary64_2068`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-div_binary64_2141`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`associate-/l*_binary64_2069`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070`
1×	`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

4 → 96

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
10.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
4.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))

Compiler

Compiled 3813 to 2242 computations (41.2% saved)

series1.3s (9.8%)

Error

21.7b

Counts

4 → 96

Calls

4 calls:

572.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
208.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
196.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
183.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

Compiler

Compiled 6408 to 4853 computations (24.3% saved)

simplify184.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-l_binary64_2065`
504×	`times-frac_binary64_2130`
408×	`associate-/l*_binary64_2069`
260×	`associate-/r*_binary64_2068`
206×	`cancel-sign-sub-inv_binary64_2090`
163×	`associate-*l/_binary64_2067`
137×	`neg-mul-1_binary64_2120` `associate-*r/_binary64_2066`
123×	`sub-neg_binary64_2117`
117×	`distribute-rgt-in_binary64_2074`
115×	`distribute-rgt-neg-in_binary64_2082`
102×	`distribute-lft-neg-in_binary64_2081`
82×	`distribute-lft-in_binary64_2073`
81×	`associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-r_binary64_2064`
68×	`*-commutative_binary64_2055`
66×	`distribute-neg-frac_binary64_2088`
54×	`unswap-sqr_binary64_2092`
53×	`div-sub_binary64_2129`
52×	`neg-sub0_binary64_2119`
51×	`+-commutative_binary64_2054`
45×	`sqr-pow_binary64_2096`
33×	`associate--r+_binary64_2060`
32×	`distribute-neg-in_binary64_2085`
26×	`distribute-rgt-out_binary64_2077`
22×	`unsub-neg_binary64_2118`
18×	`associate--l+_binary64_2061`
17×	`cube-unmult_binary64_2161` `distribute-lft-neg-out_binary64_2083`
16×	`distribute-lft-out_binary64_2075`
14×	`distribute-rgt-out--_binary64_2078`
13×	`cube-prod_binary64_2152`
11×	`exp-prod_binary64_2176` `associate-+l+_binary64_2057`
10×	`unpow3_binary64_2190` `difference-of-squares_binary64_2093`
8×	`pow-plus_binary64_2187` `cube-mult_binary64_2154` `*-rgt-identity_binary64_2114` `associate-+r-_binary64_2058`
6×	`+-rgt-identity_binary64_2109` `distribute-lft-out--_binary64_2076`
4×	`log-div_binary64_2211` `rem-sqrt-square_binary64_2137` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `pow-sqr_binary64_2097` `swap-sqr_binary64_2091` `distribute-rgt-neg-out_binary64_2084` `associate-+r+_binary64_2056`
2×	`unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `associate-+l-_binary64_2059`
1×	`log-prod_binary64_2210` `prod-exp_binary64_2173` `1-exp_binary64_2168` `cube-div_binary64_2153` `rem-square-sqrt_binary64_2136` `*-lft-identity_binary64_2113`
0×	`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` `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-diff_binary64_2172` `exp-neg_binary64_2171` `exp-sum_binary64_2170` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `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-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

192 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	5341
1	507	5028
2	1538	5028
3	4879	5016
4	4992	5016

prune161.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	89	11	100

Error

22.0b

Counts

100 → 11

Compiler

Compiled 3119 to 1882 computations (39.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

19.9b	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
30.0b	(cbrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
30.0b	(cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
30.0b	(cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite221.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

22.0b

Rules

18×	`cbrt-div_binary64_2156`
17×	`*-un-lft-identity_binary64_2124`
13×	`cbrt-prod_binary64_2155`
10×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
9×	`add-exp-log_binary64_2162` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
8×	`associate-/r/_binary64_2070`
7×	`add-cbrt-cube_binary64_2160`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `unpow-prod-down_binary64_2203` `distribute-lft-out_binary64_2075` `frac-times_binary64_2134`
3×	`pow1/3_binary64_2206` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071` `associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r*_binary64_2068`

Counts

4 → 74

Calls

4 calls:

28.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 3559 to 1781 computations (50% saved)

series2.5s (19%)

Error

21.7b

Counts

4 → 78

Calls

4 calls:

1.3s	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
362.0ms	(cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
352.0ms	(cbrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
349.0ms	(cbrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 7539 to 5460 computations (27.6% saved)

simplify168.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-l_binary64_2065`
624×	`cancel-sign-sub-inv_binary64_2090`
611×	`associate-r_binary64_2064`
526×	`times-frac_binary64_2130`
292×	`*-commutative_binary64_2055`
135×	`distribute-rgt-in_binary64_2074`
118×	`associate-/r*_binary64_2068`
113×	`distribute-lft-in_binary64_2073`
109×	`unswap-sqr_binary64_2092`
104×	`sub-neg_binary64_2117`
93×	`associate-/l*_binary64_2069`
82×	`sqr-pow_binary64_2096`
77×	`distribute-rgt-neg-in_binary64_2082`
68×	`distribute-lft-neg-in_binary64_2081`
60×	`associate-*l/_binary64_2067`
58×	`neg-sub0_binary64_2119`
53×	`neg-mul-1_binary64_2120`
46×	`+-commutative_binary64_2054`
45×	`difference-of-squares_binary64_2093`
42×	`associate-/l/_binary64_2071`
39×	`associate-*r/_binary64_2066`
36×	`associate-+l+_binary64_2057`
33×	`distribute-rgt-out_binary64_2077`
28×	`associate-+r+_binary64_2056`
26×	`cube-unmult_binary64_2161`
25×	`unsub-neg_binary64_2118` `swap-sqr_binary64_2091`
23×	`associate-/r/_binary64_2070`
21×	`associate-+r-_binary64_2058`
18×	`+-rgt-identity_binary64_2109` `distribute-lft-out_binary64_2075`
17×	`associate-+l-_binary64_2059`
16×	`distribute-rgt-out--_binary64_2078`
13×	`distribute-lft-neg-out_binary64_2083`
10×	`pow-plus_binary64_2187` `sub0-neg_binary64_2111` `associate--l+_binary64_2061`
9×	`unpow1/3_binary64_2191` `unpow3_binary64_2190`
8×	`cube-prod_binary64_2152`
6×	`pow-sqr_binary64_2097`
5×	`distribute-lft-out--_binary64_2076`
4×	`cube-mult_binary64_2154` `rem-sqrt-square_binary64_2137` `distribute-rgt-neg-out_binary64_2084`
3×	`log-div_binary64_2211` `unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `distribute-neg-in_binary64_2085`
2×	`rem-3cbrt-lft_binary64_2149` `associate--r+_binary64_2060`
1×	`log-prod_binary64_2210` `1-exp_binary64_2168` `cube-div_binary64_2153` `count-2_binary64_2072`
0×	`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` `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` `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-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `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` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `remove-double-neg_binary64_2112` `--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-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

152 → 141

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	183	5176
1	429	4825
2	1160	4825
3	3704	4825
4	5422	4825

prune314.0ms (2.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	141	11	152

Error

21.7b

Counts

152 → 11

Compiler

Compiled 5821 to 3184 computations (45.3% saved)

regimes1.8s (13.6%)

Accuracy

Total 9.8b remaining (65.4%)

Threshold costs 0b (0%)

Compiler

Compiled 11056 to 7281 computations (34.1% saved)

bsearch148.0ms (1.1%)

Steps

Iters	Range		Point
9	7.052059129900605e+130	2.7247295830099647e+138	2.6140119805619156e+135
10	2.397776766773738e-111	5.4261244202841144e-101	4.2920056191130545e-108
6	-2.44082114461779e-152	-4.919016588038305e-153	-2.4072907933382826e-152
8	-1.875949358184671e-65	-5.4245939437422745e-68	-1.8601608669635881e-65
9	-3.3751879683738886e-12	-1.978574745572717e-21	-2.029343096000649e-21
5	-2.594187133591218e+158	-7.673606034103172e+157	-7.826661316229482e+157

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_2054`
2×	`*-commutative_binary64_2055`
0×	`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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	246
1	46	246
2	46	246

end0.0ms (0%)

sample2.3s (17.6%)

Algorithm

1×

intervals

Results

332.0ms	8000×	body	128	valid
21.0ms	459×	body	128	invalid

Compiler

Compiled 2308 to 1485 computations (35.7% saved)

Details

analyze669.0ms (5%)

sample26.0ms (0.2%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite96.0ms (0.7%)

series862.0ms (6.5%)

simplify198.0ms (1.5%)

prune110.0ms (0.8%)

localize18.0ms (0.1%)

rewrite200.0ms (1.5%)

series1.3s (10%)

simplify180.0ms (1.4%)

prune154.0ms (1.2%)

localize14.0ms (0.1%)

rewrite245.0ms (1.8%)

series1.3s (9.8%)

simplify184.0ms (1.4%)

prune161.0ms (1.2%)

localize19.0ms (0.1%)

rewrite221.0ms (1.7%)

series2.5s (19%)

simplify168.0ms (1.3%)

prune314.0ms (2.4%)

regimes1.8s (13.6%)

bsearch148.0ms (1.1%)

simplify7.0ms (0%)

end0.0ms (0%)

sample2.3s (17.6%)

Profiling