Details

analyze159.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

76×	`cancel-sign-sub-inv_binary64_2090`
62×	`sub-neg_binary64_2117`
32×	`associate--r+_binary64_2060`
30×	`distribute-rgt-neg-in_binary64_2082`
29×	`distribute-rgt-in_binary64_2074`
28×	`distribute-neg-in_binary64_2085`
24×	`associate-+l-_binary64_2059`
23×	`distribute-lft-neg-out_binary64_2083`
21×	`unsub-neg_binary64_2118`
19×	`distribute-lft-neg-in_binary64_2081`
17×	`neg-mul-1_binary64_2120`
16×	`associate-l_binary64_2065`
15×	`distribute-rgt-neg-out_binary64_2084`
14×	`neg-sub0_binary64_2119` `sub0-neg_binary64_2111`
13×	`distribute-lft-in_binary64_2073` `associate-r_binary64_2064`
12×	`associate--r-_binary64_2063` `+-commutative_binary64_2054`
8×	`associate--l+_binary64_2061`
7×	`remove-double-neg_binary64_2112` `*-commutative_binary64_2055`
6×	`--rgt-identity_binary64_2110` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `distribute-rgt-out--_binary64_2078` `associate-+r-_binary64_2058`
5×	`associate-+l+_binary64_2057`
4×	`*-lft-identity_binary64_2113` `+-rgt-identity_binary64_2109`
3×	`distribute-rgt1-in_binary64_2080` `distribute-rgt-out_binary64_2077` `associate--l-_binary64_2062`
2×	`*-rgt-identity_binary64_2114` `distribute-neg-out_binary64_2086` `associate-+r+_binary64_2056`
1×	`1-exp_binary64_2168` `mul-1-neg_binary64_2116` `distribute-lft-out--_binary64_2076`
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` `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` `/-rgt-identity_binary64_2115` `+-lft-identity_binary64_2108` `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_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-lft1-in_binary64_2079` `distribute-lft-out_binary64_2075` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

76×	`cancel-sign-sub-inv_binary64_2090`
62×	`sub-neg_binary64_2117`
32×	`associate--r+_binary64_2060`
30×	`distribute-rgt-neg-in_binary64_2082`
29×	`distribute-rgt-in_binary64_2074`
28×	`distribute-neg-in_binary64_2085`
24×	`associate-+l-_binary64_2059`
23×	`distribute-lft-neg-out_binary64_2083`
21×	`unsub-neg_binary64_2118`
19×	`distribute-lft-neg-in_binary64_2081`
17×	`neg-mul-1_binary64_2120`
16×	`associate-l_binary64_2065`
15×	`distribute-rgt-neg-out_binary64_2084`
14×	`neg-sub0_binary64_2119` `sub0-neg_binary64_2111`
13×	`distribute-lft-in_binary64_2073` `associate-r_binary64_2064`
12×	`associate--r-_binary64_2063` `+-commutative_binary64_2054`
8×	`associate--l+_binary64_2061`
7×	`remove-double-neg_binary64_2112` `*-commutative_binary64_2055`
6×	`--rgt-identity_binary64_2110` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `distribute-rgt-out--_binary64_2078` `associate-+r-_binary64_2058`
5×	`associate-+l+_binary64_2057`
4×	`*-lft-identity_binary64_2113` `+-rgt-identity_binary64_2109`
3×	`distribute-rgt1-in_binary64_2080` `distribute-rgt-out_binary64_2077` `associate--l-_binary64_2062`
2×	`*-rgt-identity_binary64_2114` `distribute-neg-out_binary64_2086` `associate-+r+_binary64_2056`
1×	`1-exp_binary64_2168` `mul-1-neg_binary64_2116` `distribute-lft-out--_binary64_2076`
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` `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` `/-rgt-identity_binary64_2115` `+-lft-identity_binary64_2108` `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_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-lft1-in_binary64_2079` `distribute-lft-out_binary64_2075` `count-2_binary64_2072` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-l/_binary64_2067` `associate-*r/_binary64_2066`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13

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

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

0.0b

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

0.1b

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

rewrite75.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146`
5×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `flip3-+_binary64_2127` `associate-*r/_binary64_2066` `flip-+_binary64_2098` `associate--r+_binary64_2060`
1×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `sum-log_binary64_2215` `+-commutative_binary64_2054` `diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090`

Counts

3 → 47

Calls

3 calls:

6.0ms

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

3.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

3.0ms

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 795 to 636 computations (20% saved)

series230.0ms (5.6%)

Error

0.1b

Counts

3 → 21

Calls

3 calls:

94.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

78.0ms

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

40.0ms

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 427 to 374 computations (12.4% saved)

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Rules

620×	`sub-neg_binary64_2117`
356×	`distribute-rgt-in_binary64_2074`
340×	`distribute-lft-in_binary64_2073`
316×	`neg-mul-1_binary64_2120` `associate--r+_binary64_2060`
309×	`neg-sub0_binary64_2119`
308×	`unsub-neg_binary64_2118`
239×	`distribute-neg-in_binary64_2085`
215×	`+-commutative_binary64_2054`
208×	`cancel-sign-sub-inv_binary64_2090`
184×	`distribute-rgt-neg-in_binary64_2082`
156×	`distribute-lft-neg-in_binary64_2081`
152×	`*-commutative_binary64_2055`
98×	`associate-+l+_binary64_2057`
93×	`exp-prod_binary64_2176`
86×	`associate-l_binary64_2065`
81×	`associate-+r+_binary64_2056`
72×	`associate-r_binary64_2064`
67×	`exp-sum_binary64_2170` `distribute-lft-neg-out_binary64_2083`
62×	`sqr-pow_binary64_2096`
61×	`unswap-sqr_binary64_2092`
60×	`distribute-rgt-neg-out_binary64_2084`
57×	`distribute-rgt-out_binary64_2077`
50×	`associate-+l-_binary64_2059`
47×	`exp-diff_binary64_2172`
46×	`times-frac_binary64_2130` `associate--l+_binary64_2061`
38×	`*-lft-identity_binary64_2113`
32×	`*-rgt-identity_binary64_2114`
27×	`swap-sqr_binary64_2091`
21×	`cube-prod_binary64_2152`
20×	`associate-+r-_binary64_2058`
19×	`distribute-rgt1-in_binary64_2080`
18×	`div-sub_binary64_2129`
17×	`log-prod_binary64_2210`
11×	`distribute-lft1-in_binary64_2079` `associate-/r*_binary64_2068`
10×	`distribute-rgt-out--_binary64_2078`
9×	`rem-sqrt-square_binary64_2137` `sub0-neg_binary64_2111` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
8×	`distribute-lft-out_binary64_2075` `associate-/l*_binary64_2069`
7×	`unpow1/2_binary64_2188` `pow-sqr_binary64_2097`
6×	`unpow3_binary64_2190` `pow-plus_binary64_2187`
5×	`+-rgt-identity_binary64_2109`
4×	`div-exp_binary64_2175` `sqr-neg_binary64_2138` `difference-of-sqr-1_binary64_2094`
3×	`log-pow_binary64_2213` `cube-unmult_binary64_2161` `associate--l-_binary64_2062`
2×	`prod-exp_binary64_2173` `cube-mult_binary64_2154` `count-2_binary64_2072` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `associate--r-_binary64_2063`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `cube-neg_binary64_2151` `distribute-lft-out--_binary64_2076` `associate-/l/_binary64_2071`
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-rec_binary64_2212` `log-div_binary64_2211` `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-div_binary64_2153` `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` `/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `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-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `associate-/r/_binary64_2070`

Counts

68 → 39

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	870
1	238	820
2	751	817
3	2265	817
4	3975	817
5	5213	817

prune47.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Error

0.0b

Counts

40 → 6

Compiler

Compiled 540 to 412 computations (23.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 1 (+.f64 (*.f64 2278821411449471/9007199254740992 x) (*.f64 1080863910568919/9007199254740992 (*.f64 x x))))

0.0b

(+.f64 (*.f64 2278821411449471/9007199254740992 x) (*.f64 1080863910568919/9007199254740992 (*.f64 x x)))

0.2b

(*.f64 1080863910568919/9007199254740992 (*.f64 x x))

rewrite79.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_2163`
9×	`add-sqr-sqrt_binary64_2146`
8×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `*-un-lft-identity_binary64_2124`
5×	`add-cube-cbrt_binary64_2159`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065` `cancel-sign-sub-inv_binary64_2090`
2×	`sum-log_binary64_2215` `diff-log_binary64_2216` `difference-of-squares_binary64_2093`
1×	`unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060`

Counts

3 → 49

Calls

3 calls:

7.0ms

(-.f64 1 (+.f64 (*.f64 2278821411449471/9007199254740992 x) (*.f64 1080863910568919/9007199254740992 (*.f64 x x))))

6.0ms

(*.f64 1080863910568919/9007199254740992 (*.f64 x x))

4.0ms

(+.f64 (*.f64 2278821411449471/9007199254740992 x) (*.f64 1080863910568919/9007199254740992 (*.f64 x x)))

Compiler

Compiled 976 to 657 computations (32.7% saved)

series247.0ms (6%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

110.0ms

(-.f64 1 (+.f64 (*.f64 2278821411449471/9007199254740992 x) (*.f64 1080863910568919/9007199254740992 (*.f64 x x))))

86.0ms

(+.f64 (*.f64 2278821411449471/9007199254740992 x) (*.f64 1080863910568919/9007199254740992 (*.f64 x x)))

37.0ms

(*.f64 1080863910568919/9007199254740992 (*.f64 x x))

Compiler

Compiled 407 to 361 computations (11.3% saved)

simplify111.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

496×	`associate-+l+_binary64_2057`
461×	`cancel-sign-sub-inv_binary64_2090`
306×	`distribute-rgt-out_binary64_2077`
240×	`distribute-rgt-neg-in_binary64_2082`
223×	`distribute-lft-neg-in_binary64_2081`
187×	`*-commutative_binary64_2055`
184×	`neg-mul-1_binary64_2120`
174×	`neg-sub0_binary64_2119`
128×	`associate--r+_binary64_2060`
117×	`distribute-rgt-in_binary64_2074`
111×	`exp-prod_binary64_2176`
109×	`sub-neg_binary64_2117`
106×	`times-frac_binary64_2130`
98×	`distribute-lft-in_binary64_2073`
93×	`distribute-neg-in_binary64_2085`
84×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065`
81×	`associate-r_binary64_2064`
77×	`distribute-rgt-out--_binary64_2078`
73×	`associate-+l-_binary64_2059`
72×	`sqr-pow_binary64_2096`
68×	`exp-sum_binary64_2170`
50×	`unsub-neg_binary64_2118`
46×	`+-commutative_binary64_2054`
45×	`distribute-lft-out--_binary64_2076`
44×	`associate-+r+_binary64_2056`
42×	`exp-diff_binary64_2172`
40×	`cube-prod_binary64_2152`
39×	`log-prod_binary64_2210`
36×	`swap-sqr_binary64_2091` `associate-/r*_binary64_2068` `associate-+r-_binary64_2058`
34×	`distribute-lft-neg-out_binary64_2083`
31×	`associate--l+_binary64_2061`
23×	`distribute-rgt-neg-out_binary64_2084`
21×	`rem-sqrt-square_binary64_2137`
18×	`-lft-identity_binary64_2113` `distribute-rgt1-in_binary64_2080` `associate-/l_binary64_2069`
16×	`unpow3_binary64_2190` `*-rgt-identity_binary64_2114`
15×	`div-sub_binary64_2129`
14×	`associate--l-_binary64_2062`
11×	`pow-sqr_binary64_2097` `distribute-lft-out_binary64_2075`
10×	`sub0-neg_binary64_2111` `associate-/l/_binary64_2071`
8×	`pow-plus_binary64_2187` `+-rgt-identity_binary64_2109` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `distribute-lft1-in_binary64_2079`
7×	`sqr-neg_binary64_2138`
6×	`log-pow_binary64_2213` `cube-unmult_binary64_2161`
5×	`unpow1/2_binary64_2188` `div-exp_binary64_2175` `cube-mult_binary64_2154` `associate-*r/_binary64_2066`
4×	`difference-of-sqr-1_binary64_2094` `count-2_binary64_2072`
3×	`associate-*l/_binary64_2067`
2×	`prod-exp_binary64_2173` `difference-of-squares_binary64_2093` `associate-/r/_binary64_2070` `associate--r-_binary64_2063`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `cube-neg_binary64_2151` `rem-3cbrt-lft_binary64_2149` `rem-square-sqrt_binary64_2136`
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-rec_binary64_2212` `log-div_binary64_2211` `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-div_binary64_2153` `rem-3cbrt-rft_binary64_2150` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `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` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086`

Counts

67 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1040
1	256	869
2	715	839
3	1902	832
4	4405	832
5	4987	832
6	4909	832

prune53.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Error

0.0b

Counts

56 → 6

Compiler

Compiled 721 to 558 computations (22.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))
0.1b	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))

rewrite145.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
14×	`add-sqr-sqrt_binary64_2146`
12×	`associate-l_binary64_2065`
10×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-cube-cbrt_binary64_2159` `cbrt-unprod_binary64_2157` `*-un-lft-identity_binary64_2124`
8×	`associate-r_binary64_2064`
7×	`sqrt-prod_binary64_2140`
6×	`add-log-exp_binary64_2163`
3×	`*-commutative_binary64_2055`
2×	`unswap-sqr_binary64_2092`
1×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

4 → 75

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
9.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
7.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
5.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))

Compiler

Compiled 1684 to 1343 computations (20.2% saved)

series322.0ms (7.8%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

130.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))
83.0ms	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
47.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
47.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

Compiler

Compiled 572 to 513 computations (10.3% saved)

simplify127.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

493×	`unswap-sqr_binary64_2092`
374×	`*-commutative_binary64_2055`
324×	`distribute-lft-out_binary64_2075`
311×	`distribute-rgt-neg-in_binary64_2082`
296×	`distribute-rgt-in_binary64_2074`
268×	`distribute-lft-neg-in_binary64_2081`
263×	`cancel-sign-sub-inv_binary64_2090`
229×	`associate-r_binary64_2064`
219×	`distribute-rgt-out_binary64_2077`
201×	`associate-l_binary64_2065`
96×	`neg-mul-1_binary64_2120`
93×	`sqr-pow_binary64_2096`
88×	`swap-sqr_binary64_2091`
82×	`exp-prod_binary64_2176`
77×	`cube-prod_binary64_2152`
74×	`log-prod_binary64_2210`
72×	`distribute-rgt-out--_binary64_2078`
68×	`distribute-lft-in_binary64_2073`
53×	`sub-neg_binary64_2117`
50×	`distribute-lft-out--_binary64_2076`
45×	`neg-sub0_binary64_2119`
33×	`rem-sqrt-square_binary64_2137`
26×	`unpow3_binary64_2190` `distribute-lft-neg-out_binary64_2083`
23×	`pow-sqr_binary64_2097`
22×	`associate-+l+_binary64_2057`
20×	`associate-+r+_binary64_2056`
17×	`+-commutative_binary64_2054`
16×	`cube-mult_binary64_2154`
13×	`unsub-neg_binary64_2118` `*-rgt-identity_binary64_2114`
11×	`associate-/l*_binary64_2069`
9×	`log-pow_binary64_2213` `pow-plus_binary64_2187`
8×	`distribute-neg-in_binary64_2085`
7×	`unpow1/2_binary64_2188` `*-lft-identity_binary64_2113`
6×	`cube-unmult_binary64_2161` `associate-+r-_binary64_2058`
5×	`+-rgt-identity_binary64_2109` `associate-+l-_binary64_2059`
4×	`exp-sum_binary64_2170`
3×	`unpow2_binary64_2189` `sub0-neg_binary64_2111` `count-2_binary64_2072`
2×	`unpow1_binary64_2182` `difference-of-squares_binary64_2093` `distribute-rgt-neg-out_binary64_2084`
1×	`prod-exp_binary64_2173` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-square-sqrt_binary64_2136` `associate--l+_binary64_2061`
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-rec_binary64_2212` `log-div_binary64_2211` `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` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-div_binary64_2153` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `times-frac_binary64_2130` `div-sub_binary64_2129` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `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-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-/r_binary64_2068` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--r+_binary64_2060`

Counts

90 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1044
1	259	922
2	971	895
3	2024	883
4	4863	883
5	4937	883
6	4940	883

prune82.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	70	6	76

Error

0.0b

Counts

76 → 6

Compiler

Compiled 1205 to 920 computations (23.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.2b	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.2b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

rewrite212.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_2146`
23×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`associate-r_binary64_2064` `times-frac_binary64_2130`
18×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
13×	`pow1_binary64_2185`
9×	`associate-l_binary64_2065`
6×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
5×	`pow-prod-down_binary64_2195`
4×	`add-log-exp_binary64_2163` `associate-/r/_binary64_2070`
3×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `flip3--_binary64_2128` `flip--_binary64_2099` `associate-/l_binary64_2069` `associate-/r*_binary64_2068`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `div-inv_binary64_2121` `associate-/l/_binary64_2071`
1×	`frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `associate-*r/_binary64_2066`

Counts

4 → 102

Calls

4 calls:

11.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
7.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 2817 to 2180 computations (22.6% saved)

series324.0ms (7.9%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

141.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
107.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
36.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
26.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 562 to 478 computations (14.9% saved)

simplify127.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

531×	`associate-*l/_binary64_2067`
463×	`associate-/l*_binary64_2069`
197×	`associate-/l/_binary64_2071`
192×	`associate-l_binary64_2065`
186×	`distribute-rgt-in_binary64_2074`
177×	`distribute-lft-in_binary64_2073`
171×	`associate-/r*_binary64_2068`
163×	`associate-r_binary64_2064`
145×	`times-frac_binary64_2130`
139×	`associate-/r/_binary64_2070`
90×	`log-div_binary64_2211`
86×	`*-commutative_binary64_2055`
82×	`cube-div_binary64_2153`
80×	`log-prod_binary64_2210`
78×	`exp-prod_binary64_2176`
76×	`distribute-rgt-neg-in_binary64_2082`
72×	`cancel-sign-sub-inv_binary64_2090`
64×	`distribute-neg-frac_binary64_2088`
58×	`div-sub_binary64_2129`
56×	`distribute-lft-neg-in_binary64_2081`
48×	`associate-*r/_binary64_2066`
37×	`unswap-sqr_binary64_2092`
32×	`swap-sqr_binary64_2091`
30×	`sqr-pow_binary64_2096`
27×	`sub-neg_binary64_2117`
26×	`distribute-rgt-out_binary64_2077`
25×	`*-rgt-identity_binary64_2114`
23×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `distribute-lft-neg-out_binary64_2083`
22×	`cube-prod_binary64_2152` `*-lft-identity_binary64_2113`
17×	`+-commutative_binary64_2054`
14×	`log-rec_binary64_2212` `distribute-rgt-neg-out_binary64_2084`
12×	`unpow3_binary64_2190`
9×	`cube-mult_binary64_2154`
8×	`cube-unmult_binary64_2161` `/-rgt-identity_binary64_2115` `distribute-lft-out_binary64_2075`
7×	`distribute-neg-in_binary64_2085`
6×	`exp-diff_binary64_2172`
5×	`pow-plus_binary64_2187` `exp-sum_binary64_2170` `pow-sqr_binary64_2097`
4×	`associate-+l+_binary64_2057`
3×	`log-pow_binary64_2213` `associate-+r+_binary64_2056`
2×	`unpow1/2_binary64_2188` `rem-sqrt-square_binary64_2137` `unsub-neg_binary64_2118` `remove-double-neg_binary64_2112` `distribute-rgt-out--_binary64_2078` `count-2_binary64_2072` `associate--r-_binary64_2063` `associate--r+_binary64_2060`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `*-inverses_binary64_2104` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`
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` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-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` `sqr-neg_binary64_2138` `rem-square-sqrt_binary64_2136` `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` `div0_binary64_2105` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076` `associate--l-_binary64_2062` `associate--l+_binary64_2061`

Counts

120 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2398
1	388	2127
2	1435	2106
3	4624	2104
4	4926	2104

prune142.0ms (3.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	101	7	108

Error

Counts

108 → 7

Compiler

Compiled 2408 to 1794 computations (25.5% saved)

regimes297.0ms (7.2%)

Accuracy

Total 0.1b remaining (98.9%)

Threshold costs 0.1b (98.9%)

Compiler

Compiled 2667 to 2244 computations (15.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_2055`
9×	`+-commutative_binary64_2054`
8×	`sub-neg_binary64_2117`
7×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
6×	`distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`
2×	`unsub-neg_binary64_2118` `distribute-neg-in_binary64_2085`
1×	`1-exp_binary64_2168`
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` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `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-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	18	16
2	26	16
3	45	16
4	61	16
5	71	16
6	76	16
7	77	16
8	76	16

end0.0ms (0%)

sample1.2s (28.6%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 838 to 704 computations (16% saved)

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13
0	1	1
1	1	1

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13
0	1	1
1	1	1

Details

analyze159.0ms (3.9%)

sample14.0ms (0.3%)

simplify19.0ms (0.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite75.0ms (1.8%)

series230.0ms (5.6%)

simplify83.0ms (2%)

prune47.0ms (1.1%)

localize7.0ms (0.2%)

rewrite79.0ms (1.9%)

series247.0ms (6%)

simplify111.0ms (2.7%)

prune53.0ms (1.3%)

localize9.0ms (0.2%)

rewrite145.0ms (3.5%)

series322.0ms (7.8%)

simplify127.0ms (3.1%)

prune82.0ms (2%)

localize12.0ms (0.3%)

rewrite212.0ms (5.2%)

series324.0ms (7.9%)

simplify127.0ms (3.1%)

prune142.0ms (3.5%)

regimes297.0ms (7.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (28.6%)

Profiling

Iter	Nodes	Cost
0	9	13
1	25	13
2	50	13
3	105	13
4	162	13
5	237	13
6	290	13
7	359	13
8	360	13
9	289	13
0	1	1
1	1	1