Details

analyze154.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

15×	`sub-neg_binary64_2117`
14×	`cancel-sign-sub-inv_binary64_2090`
10×	`distribute-rgt-in_binary64_2074`
9×	`neg-mul-1_binary64_2120`
8×	`associate--r+_binary64_2060`
7×	`unsub-neg_binary64_2118`
6×	`neg-sub0_binary64_2119`
5×	`distribute-neg-in_binary64_2085` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-in_binary64_2073` `associate--r-_binary64_2063` `+-commutative_binary64_2054`
4×	`*-lft-identity_binary64_2113` `sub0-neg_binary64_2111` `associate-+l-_binary64_2059`
3×	`+-lft-identity_binary64_2108` `distribute-rgt-neg-out_binary64_2084` `associate-+l+_binary64_2057` `*-commutative_binary64_2055`
2×	`*-rgt-identity_binary64_2114`
1×	`1-exp_binary64_2168` `remove-double-neg_binary64_2112` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `distribute-lft-neg-in_binary64_2081` `associate--l+_binary64_2061` `associate-+r-_binary64_2058` `associate-+r+_binary64_2056`
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` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `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_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` `distribute-rgt-out--_binary64_2078` `distribute-rgt-out_binary64_2077` `distribute-lft-out--_binary64_2076` `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` `associate-l_binary64_2065` `associate-r*_binary64_2064` `associate--l-_binary64_2062`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample29.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	63×	body	2048	valid
4.0ms	36×	body	1024	valid
4.0ms	132×	body	128	valid
1.0ms	16×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64_2117`
14×	`cancel-sign-sub-inv_binary64_2090`
10×	`distribute-rgt-in_binary64_2074`
9×	`neg-mul-1_binary64_2120`
8×	`associate--r+_binary64_2060`
7×	`unsub-neg_binary64_2118`
6×	`neg-sub0_binary64_2119`
5×	`distribute-neg-in_binary64_2085` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-in_binary64_2073` `associate--r-_binary64_2063` `+-commutative_binary64_2054`
4×	`*-lft-identity_binary64_2113` `sub0-neg_binary64_2111` `associate-+l-_binary64_2059`
3×	`+-lft-identity_binary64_2108` `distribute-rgt-neg-out_binary64_2084` `associate-+l+_binary64_2057` `*-commutative_binary64_2055`
2×	`*-rgt-identity_binary64_2114`
1×	`1-exp_binary64_2168` `remove-double-neg_binary64_2112` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `distribute-lft-neg-in_binary64_2081` `associate--l+_binary64_2061` `associate-+r-_binary64_2058` `associate-+r+_binary64_2056`
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` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `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_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` `distribute-rgt-out--_binary64_2078` `distribute-rgt-out_binary64_2077` `distribute-lft-out--_binary64_2076` `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` `associate-l_binary64_2065` `associate-r*_binary64_2064` `associate--l-_binary64_2062`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

prune6.0ms (0.2%)

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

15.6b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(atan.f64 (+.f64 N 1))
1.0b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

15.1b

Rules

5×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`add-log-exp_binary64_2163`
3×	`add-cube-cbrt_binary64_2159` `cancel-sign-sub-inv_binary64_2090`
2×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
1×	`diff-atan_binary64_2281` `diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`

Counts

2 → 24

Calls

2 calls:

4.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
1.0ms	(atan.f64 (+.f64 N 1))

Compiler

Compiled 348 to 227 computations (34.8% saved)

series40.0ms (1.1%)

Error

15.6b

Counts

2 → 6

Calls

2 calls:

25.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
11.0ms	(atan.f64 (+.f64 N 1))

Compiler

Compiled 126 to 98 computations (22.2% saved)

simplify93.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

632×	`unsub-neg_binary64_2118`
532×	`neg-sub0_binary64_2119`
514×	`neg-mul-1_binary64_2120`
430×	`associate-l_binary64_2065`
371×	`distribute-rgt-neg-in_binary64_2082`
350×	`associate-r_binary64_2064`
322×	`*-commutative_binary64_2055`
320×	`distribute-rgt-neg-out_binary64_2084`
305×	`distribute-lft-neg-out_binary64_2083`
255×	`unswap-sqr_binary64_2092`
223×	`distribute-rgt-in_binary64_2074`
193×	`distribute-lft-in_binary64_2073`
168×	`distribute-neg-in_binary64_2085`
144×	`distribute-rgt-out_binary64_2077`
135×	`cancel-sign-sub-inv_binary64_2090`
128×	`sub-neg_binary64_2117`
104×	`sqr-pow_binary64_2096`
101×	`+-commutative_binary64_2054`
86×	`times-frac_binary64_2130`
84×	`remove-double-neg_binary64_2112`
73×	`distribute-lft-out_binary64_2075`
58×	`exp-prod_binary64_2176`
56×	`distribute-lft-neg-in_binary64_2081`
51×	`cancel-sign-sub_binary64_2089`
49×	`div-sub_binary64_2129`
46×	`difference-of-squares_binary64_2093`
37×	`associate-+l-_binary64_2059`
35×	`exp-sum_binary64_2170` `distribute-neg-out_binary64_2086`
33×	`associate-+r+_binary64_2056`
32×	`pow-sqr_binary64_2097`
30×	`associate-+l+_binary64_2057`
28×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
26×	`exp-diff_binary64_2172` `swap-sqr_binary64_2091` `associate--r+_binary64_2060`
25×	`cube-prod_binary64_2152`
24×	`pow-plus_binary64_2187` `sub0-neg_binary64_2111`
21×	`cube-unmult_binary64_2161`
17×	`distribute-rgt-out--_binary64_2078`
16×	`associate-+r-_binary64_2058`
14×	`sqr-neg_binary64_2138` `associate-/l*_binary64_2069`
11×	`+-rgt-identity_binary64_2109`
10×	`unpow3_binary64_2190` `distribute-frac-neg_binary64_2087` `associate--l+_binary64_2061`
8×	`log-prod_binary64_2210`
7×	`mul-1-neg_binary64_2116`
6×	`cube-neg_binary64_2151` `--rgt-identity_binary64_2110` `associate-/r*_binary64_2068`
5×	`unpow2_binary64_2189` `exp-neg_binary64_2171` `distribute-rgt1-in_binary64_2080`
4×	`rem-sqrt-square_binary64_2137`
3×	`cube-mult_binary64_2154` `*-lft-identity_binary64_2113`
2×	`+-lft-identity_binary64_2108`
1×	`unpow1_binary64_2182` `div-exp_binary64_2175` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-lft_binary64_2149` `rem-square-sqrt_binary64_2136` `*-rgt-identity_binary64_2114` `+-inverses_binary64_2103` `distribute-lft-out--_binary64_2076` `associate--r-_binary64_2063` `associate--l-_binary64_2062`
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` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `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` `prod-exp_binary64_2173` `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` `/-rgt-identity_binary64_2115` `div0_binary64_2105` `-inverses_binary64_2104` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `distribute-neg-frac_binary64_2088` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-l/_binary64_2067` `associate-*r/_binary64_2066`

Counts

30 → 8

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	423
1	101	400
2	185	391
3	553	391
4	1681	391
5	2674	391
6	4338	391
7	4998	391

prune13.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	7	2	9

Error

0.4b

Counts

9 → 2

Compiler

Compiled 131 to 90 computations (31.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 N (+.f64 N 1))
0.0b	(+.f64 1 (*.f64 N (+.f64 N 1)))
0.4b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

rewrite61.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

7×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
5×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159`
4×	`associate-r_binary64_2064`
3×	`associate-l_binary64_2065`
2×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-rgt-in_binary64_2074` `associate-+r+_binary64_2056` `distribute-lft-in_binary64_2073` `associate-*r/_binary64_2066`
1×	`sum-log_binary64_2215` `+-commutative_binary64_2054` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `distribute-lft-out_binary64_2075` `*-commutative_binary64_2055`

Counts

3 → 43

Calls

3 calls:

6.0ms	(*.f64 N (+.f64 N 1))
4.0ms	(+.f64 1 (*.f64 N (+.f64 N 1)))
1.0ms	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Compiler

Compiled 690 to 533 computations (22.8% saved)

series151.0ms (4.2%)

Error

0.4b

Counts

3 → 18

Calls

3 calls:

68.0ms	(+.f64 1 (*.f64 N (+.f64 N 1)))
53.0ms	(*.f64 N (+.f64 N 1))
16.0ms	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Compiler

Compiled 345 to 299 computations (13.3% saved)

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

521×	`unswap-sqr_binary64_2092`
356×	`distribute-rgt-in_binary64_2074`
317×	`sub-neg_binary64_2117`
314×	`distribute-rgt-out_binary64_2077`
296×	`distribute-lft-in_binary64_2073`
261×	`*-commutative_binary64_2055`
256×	`distribute-rgt-out--_binary64_2078`
245×	`associate-l_binary64_2065`
193×	`associate-r_binary64_2064`
172×	`distribute-rgt-neg-in_binary64_2082`
161×	`+-commutative_binary64_2054`
141×	`distribute-lft-neg-in_binary64_2081`
129×	`associate--l+_binary64_2061`
127×	`cancel-sign-sub-inv_binary64_2090`
119×	`distribute-lft-out_binary64_2075`
106×	`distribute-lft-out--_binary64_2076`
92×	`distribute-neg-in_binary64_2085`
87×	`associate--r+_binary64_2060`
86×	`exp-prod_binary64_2176`
85×	`sqr-pow_binary64_2096`
67×	`distribute-rgt1-in_binary64_2080`
63×	`associate-+l+_binary64_2057`
59×	`difference-of-squares_binary64_2093` `distribute-lft1-in_binary64_2079`
58×	`associate-+l-_binary64_2059`
57×	`associate-+r+_binary64_2056`
54×	`rem-sqrt-square_binary64_2137` `unsub-neg_binary64_2118`
38×	`neg-mul-1_binary64_2120` `associate-+r-_binary64_2058`
37×	`neg-sub0_binary64_2119`
35×	`exp-sum_binary64_2170`
29×	`log-prod_binary64_2210`
28×	`cube-prod_binary64_2152`
27×	`sub0-neg_binary64_2111`
23×	`distribute-lft-neg-out_binary64_2083`
22×	`pow-plus_binary64_2187` `*-lft-identity_binary64_2113` `swap-sqr_binary64_2091`
20×	`+-rgt-identity_binary64_2109` `pow-sqr_binary64_2097`
18×	`*-rgt-identity_binary64_2114`
15×	`cancel-sign-sub_binary64_2089` `distribute-rgt-neg-out_binary64_2084`
13×	`exp-diff_binary64_2172`
12×	`cube-unmult_binary64_2161`
9×	`unpow3_binary64_2190`
8×	`unpow1/2_binary64_2188` `associate-/l*_binary64_2069`
6×	`difference-of-sqr-1_binary64_2094` `distribute-neg-out_binary64_2086`
4×	`log-pow_binary64_2213`
3×	`cube-mult_binary64_2154` `remove-double-neg_binary64_2112` `difference-of-sqr--1_binary64_2095` `associate--r-_binary64_2063`
2×	`sqr-neg_binary64_2138` `--rgt-identity_binary64_2110` `+-inverses_binary64_2103` `count-2_binary64_2072` `associate-/l/_binary64_2071` `associate-*r/_binary64_2066`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `prod-exp_binary64_2173` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `cube-neg_binary64_2151` `div-sub_binary64_2129` `associate-/r/_binary64_2070` `associate-/r*_binary64_2068` `associate--l-_binary64_2062`
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-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` `times-frac_binary64_2130` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `-inverses_binary64_2104` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `associate-l/_binary64_2067`

Counts

61 → 49

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	692
1	184	640
2	527	638
3	1543	638
4	2837	635
5	4836	635
6	4920	635

prune52.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	45	6	51

Error

0.3b

Counts

51 → 6

Compiler

Compiled 732 to 446 computations (39.1% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (*.f64 N N))
0.0b	(+.f64 N (+.f64 1 (*.f64 N N)))
0.4b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

rewrite39.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

10×	`add-log-exp_binary64_2163`
5×	`*-un-lft-identity_binary64_2124`
4×	`sum-log_binary64_2215`
3×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
2×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`
1×	`distribute-lft-out_binary64_2075` `associate-+r+_binary64_2056`

Counts

3 → 32

Calls

3 calls:

5.0ms	(+.f64 N (+.f64 1 (*.f64 N N)))
5.0ms	(+.f64 1 (*.f64 N N))
0.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 540 to 319 computations (40.9% saved)

series155.0ms (4.3%)

Error

0.3b

Counts

3 → 18

Calls

3 calls:

73.0ms	(+.f64 N (+.f64 1 (*.f64 N N)))
52.0ms	(+.f64 1 (*.f64 N N))
19.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 345 to 295 computations (14.5% saved)

simplify108.0ms (3%)

Algorithm

1×	egg-herbie

Rules

457×	`unswap-sqr_binary64_2092`
332×	`sub-neg_binary64_2117`
231×	`distribute-rgt-in_binary64_2074`
215×	`distribute-rgt-out_binary64_2077`
213×	`*-commutative_binary64_2055`
209×	`distribute-rgt-neg-in_binary64_2082` `+-commutative_binary64_2054`
205×	`distribute-rgt-out--_binary64_2078`
198×	`cancel-sign-sub-inv_binary64_2090`
197×	`distribute-lft-in_binary64_2073`
170×	`neg-mul-1_binary64_2120`
160×	`distribute-lft-neg-in_binary64_2081`
143×	`exp-prod_binary64_2176`
136×	`associate-l_binary64_2065`
116×	`distribute-neg-in_binary64_2085` `distribute-lft-out--_binary64_2076`
115×	`associate-r_binary64_2064`
110×	`associate--l+_binary64_2061`
105×	`difference-of-squares_binary64_2093`
91×	`unsub-neg_binary64_2118`
85×	`associate-+l-_binary64_2059`
82×	`associate--r+_binary64_2060`
79×	`sqr-pow_binary64_2096`
73×	`distribute-lft-out_binary64_2075`
62×	`associate-+r-_binary64_2058` `associate-+l+_binary64_2057`
53×	`distribute-rgt1-in_binary64_2080` `associate-+r+_binary64_2056`
51×	`neg-sub0_binary64_2119`
47×	`cube-prod_binary64_2152`
42×	`pow-plus_binary64_2187`
41×	`sub0-neg_binary64_2111`
37×	`distribute-lft-neg-out_binary64_2083`
33×	`distribute-lft1-in_binary64_2079`
32×	`cancel-sign-sub_binary64_2089`
31×	`unpow3_binary64_2190`
26×	`swap-sqr_binary64_2091`
25×	`+-rgt-identity_binary64_2109`
24×	`exp-sum_binary64_2170`
23×	`distribute-rgt-neg-out_binary64_2084`
22×	`cube-unmult_binary64_2161`
18×	`pow-sqr_binary64_2097`
17×	`div-sub_binary64_2129` `*-rgt-identity_binary64_2114`
15×	`*-lft-identity_binary64_2113` `distribute-neg-out_binary64_2086`
14×	`rem-sqrt-square_binary64_2137`
12×	`associate--l-_binary64_2062`
10×	`log-prod_binary64_2210` `exp-diff_binary64_2172`
9×	`remove-double-neg_binary64_2112`
7×	`unpow1/2_binary64_2188` `sqr-neg_binary64_2138` `associate-/l*_binary64_2069`
6×	`difference-of-sqr-1_binary64_2094`
5×	`prod-exp_binary64_2173` `difference-of-sqr--1_binary64_2095`
4×	`+-inverses_binary64_2103` `associate--r-_binary64_2063`
3×	`cube-mult_binary64_2154` `cube-neg_binary64_2151` `times-frac_binary64_2130` `associate-/l/_binary64_2071` `associate-/r_binary64_2068` `associate-r/_binary64_2066`
2×	`unpow2_binary64_2189` `associate-/r/_binary64_2070`
1×	`unpow1_binary64_2182` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `mul-1-neg_binary64_2116`
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` `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-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` `/-rgt-identity_binary64_2115` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `-inverses_binary64_2104` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `count-2_binary64_2072` `associate-l/_binary64_2067`

Counts

50 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	634
1	161	577
2	413	577
3	1391	568
4	2639	568
5	4672	568
6	4965	568
7	4937	568

prune27.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	27	6	33

Error

0.3b

Counts

33 → 6

Compiler

Compiled 385 to 241 computations (37.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
0.6b	(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))))
14.2b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
14.2b	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))

rewrite167.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

30×	`add-sqr-sqrt_binary64_2146`
24×	`sqrt-prod_binary64_2140`
21×	`pow1_binary64_2185`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
8×	`swap-sqr_binary64_2091`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-l_binary64_2065` `associate-r_binary64_2064`
5×	`pow-prod-up_binary64_2194`
4×	`add-log-exp_binary64_2163` `rem-sqrt-square_binary64_2137` `unswap-sqr_binary64_2092`
3×	`pow-prod-down_binary64_2195` `pow-sqr_binary64_2097`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `*-commutative_binary64_2055`

Counts

4 → 83

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))))
1.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
1.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
1.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 2606 to 1704 computations (34.6% saved)

series141.0ms (3.9%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
43.0ms	(sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))))
20.0ms	(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))))
19.0ms	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 648 to 512 computations (21% saved)

simplify133.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64_2092`
447×	`log-div_binary64_2211`
345×	`sqr-pow_binary64_2096`
308×	`associate-*r/_binary64_2066`
266×	`associate-*l/_binary64_2067`
245×	`*-commutative_binary64_2055`
232×	`associate-/l*_binary64_2069`
220×	`associate-+l+_binary64_2057`
197×	`cube-div_binary64_2153`
168×	`log-prod_binary64_2210`
147×	`exp-prod_binary64_2176`
134×	`cube-prod_binary64_2152`
125×	`associate-/l/_binary64_2071` `associate-+r+_binary64_2056`
120×	`pow-sqr_binary64_2097`
115×	`associate-/r/_binary64_2070` `associate-l_binary64_2065`
113×	`distribute-rgt-in_binary64_2074`
101×	`distribute-lft-in_binary64_2073`
78×	`associate-/r*_binary64_2068`
76×	`swap-sqr_binary64_2091`
68×	`associate-r_binary64_2064`
61×	`+-commutative_binary64_2054`
47×	`rem-sqrt-square_binary64_2137`
34×	`log-pow_binary64_2213` `pow-plus_binary64_2187`
29×	`unpow3_binary64_2190` `times-frac_binary64_2130`
28×	`*-lft-identity_binary64_2113`
24×	`exp-sqrt_binary64_2177`
22×	`distribute-rgt-out_binary64_2077`
21×	`cube-mult_binary64_2154`
19×	`log-rec_binary64_2212`
18×	`*-rgt-identity_binary64_2114`
17×	`distribute-lft-out_binary64_2075`
15×	`cube-unmult_binary64_2161`
14×	`unpow1/2_binary64_2188`
10×	`count-2_binary64_2072`
8×	`unpow2_binary64_2189` `exp-lft-sqr_binary64_2179` `distribute-rgt1-in_binary64_2080`
6×	`unpow1_binary64_2182`
5×	`sub-neg_binary64_2117` `distribute-lft1-in_binary64_2079`
4×	`rem-square-sqrt_binary64_2136`
3×	`remove-double-div_binary64_2100`
1×	`prod-exp_binary64_2173` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `sqr-abs_binary64_2139` `/-rgt-identity_binary64_2115`
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-cbrt_binary64_2178` `div-exp_binary64_2175` `rec-exp_binary64_2174` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `exp-sum_binary64_2170` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-cube-cbrt_binary64_2147` `sqr-neg_binary64_2138` `div-sub_binary64_2129` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `unsub-neg_binary64_2118` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `cancel-sign-sub-inv_binary64_2090` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-neg-in_binary64_2085` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061` `associate--r+_binary64_2060` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`

Counts

95 → 68

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	57	1895
1	79	1734
2	186	1690
3	396	1611
4	747	1485
5	1728	1485
6	3526	1475
7	4877	1475
8	5095	1475

prune83.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Error

0.3b

Counts

74 → 7

Compiler

Compiled 1358 to 876 computations (35.5% saved)

regimes174.0ms (4.8%)

Accuracy

Total 0.1b remaining (16.1%)

Threshold costs 0.1b (16.1%)

Compiler

Compiled 1924 to 1473 computations (23.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_2054`
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` `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_2055`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	11	13
2	10	13

end0.0ms (0%)

sample1.8s (50.5%)

Algorithm

1×

intervals

Results

362.0ms	2090×	body	2048	valid
146.0ms	4120×	body	128	valid
120.0ms	987×	body	1024	valid
46.0ms	510×	body	512	valid
18.0ms	293×	body	256	valid

Compiler

Compiled 959 to 734 computations (23.5% saved)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Details

analyze154.0ms (4.3%)

sample29.0ms (0.8%)

simplify13.0ms (0.3%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite32.0ms (0.9%)

series40.0ms (1.1%)

simplify93.0ms (2.6%)

prune13.0ms (0.4%)

localize6.0ms (0.2%)

rewrite61.0ms (1.7%)

series151.0ms (4.2%)

simplify90.0ms (2.5%)

prune52.0ms (1.4%)

localize5.0ms (0.1%)

rewrite39.0ms (1.1%)

series155.0ms (4.3%)

simplify108.0ms (3%)

prune27.0ms (0.7%)

localize8.0ms (0.2%)

rewrite167.0ms (4.6%)

series141.0ms (3.9%)

simplify133.0ms (3.7%)

prune83.0ms (2.3%)

regimes174.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.8s (50.5%)

Profiling

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11