Details

analyze289.0ms (9.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

656×	`sub-neg_binary64_2117`
524×	`cancel-sign-sub-inv_binary64_2090`
504×	`associate-l_binary64_2065`
330×	`associate-r_binary64_2064`
320×	`distribute-rgt-neg-in_binary64_2082`
304×	`sqr-pow_binary64_2096`
268×	`distribute-neg-in_binary64_2085`
264×	`distribute-lft-neg-in_binary64_2081`
254×	`unsub-neg_binary64_2118`
244×	`associate--r+_binary64_2060`
240×	`distribute-rgt-in_binary64_2074`
236×	`neg-sub0_binary64_2119`
228×	`neg-mul-1_binary64_2120`
226×	`associate-+l-_binary64_2059`
196×	`+-commutative_binary64_2054`
180×	`distribute-lft-in_binary64_2073`
152×	`unswap-sqr_binary64_2092`
150×	`distribute-lft-neg-out_binary64_2083`
134×	`sub0-neg_binary64_2111`
132×	`associate--r-_binary64_2063`
118×	`cube-prod_binary64_2152`
116×	`*-commutative_binary64_2055`
114×	`--rgt-identity_binary64_2110`
102×	`distribute-rgt-neg-out_binary64_2084`
100×	`pow-sqr_binary64_2097`
98×	`associate--l+_binary64_2061`
92×	`distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076`
88×	`remove-double-neg_binary64_2112`
80×	`unpow3_binary64_2190`
72×	`distribute-lft-out_binary64_2075`
70×	`cube-mult_binary64_2154` `swap-sqr_binary64_2091`
62×	`associate-+r-_binary64_2058`
60×	`distribute-rgt-out_binary64_2077`
56×	`pow-plus_binary64_2187`
42×	`distribute-neg-out_binary64_2086`
40×	`associate--l-_binary64_2062`
30×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `associate-+r+_binary64_2056`
26×	`+-rgt-identity_binary64_2109`
22×	`sqr-neg_binary64_2138`
20×	`cancel-sign-sub_binary64_2089`
18×	`associate-+l+_binary64_2057`
10×	`unpow2_binary64_2189` `rem-sqrt-square_binary64_2137` `*-lft-identity_binary64_2113`
8×	`unpow1/2_binary64_2188` `unpow1_binary64_2182` `cube-unmult_binary64_2161` `cube-neg_binary64_2151`
6×	`+-lft-identity_binary64_2108`
2×	`mul-1-neg_binary64_2116`
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` `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` `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-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` `div-sub_binary64_2129` `/-rgt-identity_binary64_2115` `-rgt-identity_binary64_2114` `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` `difference-of-squares_binary64_2093` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `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	18	44
1	45	44
2	128	44
3	292	44
4	605	44
5	1611	44
6	3140	44
7	3420	44
8	4075	44
9	4184	44
10	4637	44
11	4959	44
12	4793	44
0	2	2
1	2	2

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample35.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
10.0ms	256×	pre	128	true

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify142.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-neg-in_binary64_2082`
530×	`cancel-sign-sub-inv_binary64_2090`
519×	`distribute-lft-neg-in_binary64_2081`
486×	`sqr-pow_binary64_2096`
309×	`neg-mul-1_binary64_2120`
307×	`neg-sub0_binary64_2119`
267×	`*-commutative_binary64_2055`
212×	`sub-neg_binary64_2117`
204×	`unswap-sqr_binary64_2092`
201×	`cube-prod_binary64_2152`
174×	`pow-sqr_binary64_2097`
165×	`distribute-lft-neg-out_binary64_2083`
146×	`distribute-rgt-neg-out_binary64_2084`
131×	`associate--r+_binary64_2060`
130×	`unpow3_binary64_2190`
125×	`unsub-neg_binary64_2118`
124×	`associate-l_binary64_2065`
114×	`remove-double-neg_binary64_2112`
108×	`distribute-neg-in_binary64_2085`
97×	`associate-r_binary64_2064`
91×	`+-commutative_binary64_2054`
87×	`distribute-rgt-in_binary64_2074`
79×	`cube-mult_binary64_2154`
69×	`distribute-lft-in_binary64_2073`
62×	`cancel-sign-sub_binary64_2089`
60×	`pow-plus_binary64_2187`
56×	`sqr-neg_binary64_2138`
55×	`associate-+l-_binary64_2059`
42×	`sub0-neg_binary64_2111`
36×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
35×	`swap-sqr_binary64_2091`
34×	`--rgt-identity_binary64_2110`
25×	`rem-sqrt-square_binary64_2137`
24×	`*-lft-identity_binary64_2113`
23×	`associate--l+_binary64_2061`
14×	`associate-+r+_binary64_2056`
13×	`*-rgt-identity_binary64_2114`
12×	`unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182`
11×	`cube-neg_binary64_2151` `distribute-rgt-out--_binary64_2078`
10×	`cube-unmult_binary64_2161` `associate--r-_binary64_2063` `associate-+l+_binary64_2057`
4×	`associate-+r-_binary64_2058`
2×	`+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `distribute-rgt-out_binary64_2077` `associate--l-_binary64_2062`
1×	`1-exp_binary64_2168` `distribute-neg-out_binary64_2086`
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` `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-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` `div-sub_binary64_2129` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `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` `difference-of-squares_binary64_2093` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	27	22
2	73	22
3	157	22
4	285	22
5	593	22
6	1042	22
7	1815	22
8	2169	22
9	2308	22
10	2558	22
11	2851	22
12	3174	22
13	4093	22
14	4954	22
15	4710	22

prune2.0ms (0.1%)

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

62.0b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

62.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

rewrite35.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

8×	`associate--r+_binary64_2060`
7×	`cancel-sign-sub-inv_binary64_2090`
4×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
3×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `sub-neg_binary64_2117`
1×	`diff-log_binary64_2216` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

1 → 20

Calls

1 calls:

7.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Compiler

Compiled 549 to 311 computations (43.4% saved)

series123.0ms (4.1%)

Error

57.8b

Counts

1 → 7

Calls

1 calls:

118.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Compiler

Compiled 172 to 165 computations (4.1% saved)

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64_2065`
366×	`associate-r_binary64_2064`
293×	`cancel-sign-sub-inv_binary64_2090`
258×	`associate-+l+_binary64_2057`
200×	`distribute-rgt-neg-in_binary64_2082`
197×	`associate-+r+_binary64_2056`
195×	`distribute-lft-neg-in_binary64_2081`
186×	`exp-prod_binary64_2176`
163×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
137×	`unswap-sqr_binary64_2092`
136×	`times-frac_binary64_2130`
135×	`+-commutative_binary64_2054`
104×	`distribute-lft-neg-out_binary64_2083`
97×	`distribute-rgt-out_binary64_2077`
94×	`distribute-rgt-neg-out_binary64_2084`
91×	`*-commutative_binary64_2055`
83×	`exp-sum_binary64_2170`
79×	`distribute-neg-in_binary64_2085`
71×	`distribute-lft-out_binary64_2075`
68×	`sqr-pow_binary64_2096` `associate--r+_binary64_2060`
51×	`cube-prod_binary64_2152`
47×	`sub-neg_binary64_2117`
45×	`exp-diff_binary64_2172`
38×	`neg-sub0_binary64_2119`
34×	`unsub-neg_binary64_2118`
32×	`neg-mul-1_binary64_2120`
24×	`unpow3_binary64_2190` `swap-sqr_binary64_2091` `associate-+l-_binary64_2059`
23×	`associate-/l*_binary64_2069`
21×	`associate--l+_binary64_2061`
16×	`cube-mult_binary64_2154`
15×	`pow-plus_binary64_2187`
14×	`difference-of-squares_binary64_2093`
13×	`cube-unmult_binary64_2161`
12×	`pow-sqr_binary64_2097` `associate-/r*_binary64_2068` `associate-+r-_binary64_2058`
8×	`sqr-neg_binary64_2138` `distribute-rgt-out--_binary64_2078`
7×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
6×	`sub0-neg_binary64_2111`
5×	`+-rgt-identity_binary64_2109` `associate-*r/_binary64_2066`
4×	`exp-neg_binary64_2171` `mul-1-neg_binary64_2116` `distribute-lft-out--_binary64_2076`
3×	`associate-/l/_binary64_2071`
2×	`unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `exp-lft-sqr_binary64_2179` `div-exp_binary64_2175` `rem-sqrt-square_binary64_2137` `div-sub_binary64_2129` `associate-/r/_binary64_2070`
1×	`prod-exp_binary64_2173` `1-exp_binary64_2168` `cube-neg_binary64_2151` `associate-*l/_binary64_2067` `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` `log-prod_binary64_2210` `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` `exp-sqrt_binary64_2177` `rec-exp_binary64_2174` `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-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_2114` `-lft-identity_binary64_2113` `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-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` `count-2_binary64_2072` `associate--r-_binary64_2063`

Counts

27 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	601
1	140	544
2	467	544
3	2007	544
4	4538	544
5	4947	544

prune28.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	1	23

Error

52.0b

Counts

23 → 1

Compiler

Compiled 472 to 338 computations (28.4% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

23.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

7×	`cancel-sign-sub-inv_binary64_2090`
3×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `unpow-prod-down_binary64_2203`
1×	`diff-log_binary64_2216` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `sqr-pow_binary64_2096`

Counts

1 → 18

Calls

1 calls:

7.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 463 to 346 computations (25.3% saved)

series312.0ms (10.4%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

301.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 432 to 351 computations (18.8% saved)

simplify81.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

509×	`unsub-neg_binary64_2118`
421×	`times-frac_binary64_2130`
357×	`distribute-rgt-in_binary64_2074`
328×	`associate-l_binary64_2065`
309×	`distribute-lft-in_binary64_2073`
302×	`associate-r_binary64_2064`
284×	`exp-prod_binary64_2176`
239×	`unswap-sqr_binary64_2092`
198×	`sqr-pow_binary64_2096`
188×	`neg-sub0_binary64_2119`
187×	`neg-mul-1_binary64_2120`
158×	`cancel-sign-sub-inv_binary64_2090`
152×	`cube-prod_binary64_2152`
90×	`distribute-lft-neg-out_binary64_2083`
76×	`distribute-rgt-neg-in_binary64_2082`
75×	`distribute-rgt-neg-out_binary64_2084`
70×	`distribute-lft-neg-in_binary64_2081`
64×	`*-commutative_binary64_2055`
62×	`unpow3_binary64_2190`
60×	`sub-neg_binary64_2117`
59×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
54×	`exp-sum_binary64_2170` `distribute-lft-out_binary64_2075`
50×	`pow-plus_binary64_2187`
49×	`distribute-rgt-out_binary64_2077`
48×	`pow-sqr_binary64_2097`
44×	`cube-mult_binary64_2154`
32×	`swap-sqr_binary64_2091`
30×	`exp-diff_binary64_2172`
28×	`associate-+r+_binary64_2056`
27×	`cube-unmult_binary64_2161`
24×	`rem-sqrt-square_binary64_2137`
23×	`associate-+l+_binary64_2057`
21×	`+-commutative_binary64_2054`
18×	`difference-of-squares_binary64_2093`
11×	`associate-/l*_binary64_2069`
10×	`sqr-neg_binary64_2138` `sub0-neg_binary64_2111`
9×	`unpow2_binary64_2189` `associate-+l-_binary64_2059`
8×	`div-sub_binary64_2129` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108`
7×	`mul-1-neg_binary64_2116`
5×	`unpow1/2_binary64_2188` `unpow1_binary64_2182` `--rgt-identity_binary64_2110` `associate-+r-_binary64_2058`
4×	`exp-neg_binary64_2171` `associate-/r*_binary64_2068`
3×	`associate-*r/_binary64_2066`
2×	`cube-neg_binary64_2151` `rem-square-sqrt_binary64_2136` `distribute-neg-in_binary64_2085` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate--r+_binary64_2060`
1×	`log-prod_binary64_2210` `div-exp_binary64_2175` `1-exp_binary64_2168` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `*-rgt-identity_binary64_2114` `remove-double-neg_binary64_2112`
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` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `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-div_binary64_2153` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `/-rgt-identity_binary64_2115` `-lft-identity_binary64_2113` `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` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076` `count-2_binary64_2072` `associate-*l/_binary64_2067` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061`

Counts

30 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	415
1	147	376
2	371	376
3	1416	376
4	3560	370
5	4443	370
6	5269	370

prune17.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Error

52.0b

Counts

15 → 1

Compiler

Compiled 270 to 198 computations (26.7% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite96.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

12×	`cbrt-prod_binary64_2155`
7×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `cancel-sign-sub-inv_binary64_2090`
6×	`unpow-prod-down_binary64_2203`
4×	`add-log-exp_binary64_2163`
3×	`cube-prod_binary64_2152`
2×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `flip--_binary64_2099` `sqr-pow_binary64_2096` `cube-div_binary64_2153` `cbrt-div_binary64_2156`
1×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `pow1/3_binary64_2206` `unpow3_binary64_2190` `cube-mult_binary64_2154` `rem-cbrt-cube_binary64_2148`

Counts

2 → 41

Calls

2 calls:

8.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 1284 to 1004 computations (21.8% saved)

series654.0ms (21.8%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

317.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
311.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 954 to 789 computations (17.3% saved)

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

790×	`unswap-sqr_binary64_2092`
632×	`associate-l_binary64_2065`
601×	`associate-r_binary64_2064`
222×	`swap-sqr_binary64_2091`
196×	`distribute-lft-in_binary64_2073`
195×	`distribute-rgt-in_binary64_2074`
130×	`sqr-pow_binary64_2096`
101×	`*-commutative_binary64_2055`
81×	`exp-prod_binary64_2176`
62×	`cube-prod_binary64_2152`
41×	`unsub-neg_binary64_2118`
35×	`neg-sub0_binary64_2119`
29×	`sub-neg_binary64_2117`
28×	`neg-mul-1_binary64_2120` `cancel-sign-sub-inv_binary64_2090`
27×	`pow-plus_binary64_2187`
25×	`unpow3_binary64_2190`
24×	`cube-unmult_binary64_2161`
23×	`distribute-rgt-neg-in_binary64_2082`
22×	`exp-sum_binary64_2170` `pow-sqr_binary64_2097`
20×	`distribute-lft-neg-in_binary64_2081`
18×	`difference-of-squares_binary64_2093` `distribute-lft-neg-out_binary64_2083`
17×	`cube-mult_binary64_2154`
15×	`+-commutative_binary64_2054`
12×	`rem-sqrt-square_binary64_2137` `distribute-rgt-neg-out_binary64_2084`
11×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `distribute-rgt-out_binary64_2077`
9×	`log-prod_binary64_2210`
8×	`rem-cbrt-cube_binary64_2148` `associate-+l+_binary64_2057`
7×	`exp-diff_binary64_2172` `associate-+r+_binary64_2056`
5×	`unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182`
4×	`mul-1-neg_binary64_2116` `distribute-lft-out_binary64_2075`
3×	`log-pow_binary64_2213` `sqr-neg_binary64_2138` `rem-square-sqrt_binary64_2136` `times-frac_binary64_2130` `sub0-neg_binary64_2111` `+-rgt-identity_binary64_2109` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`
2×	`rem-3cbrt-lft_binary64_2149` `associate-/l*_binary64_2069`
1×	`div-exp_binary64_2175` `exp-neg_binary64_2171` `1-exp_binary64_2168` `rem-3cbrt-rft_binary64_2150` `rem-cube-cbrt_binary64_2147` `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-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` `prod-exp_binary64_2173` `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-div_binary64_2153` `cube-neg_binary64_2151` `sqr-abs_binary64_2139` `div-sub_binary64_2129` `/-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` `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-neg-in_binary64_2085` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076` `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--l+_binary64_2061` `associate--r+_binary64_2060`

Counts

65 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1118
1	207	1024
2	593	1024
3	3047	1024
4	5079	1024

prune54.0ms (1.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	1	37

Error

52.0b

Counts

37 → 1

Compiler

Compiled 844 to 639 computations (24.3% saved)

regimes96.0ms (3.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 942 to 777 computations (17.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64_2117` `*-commutative_binary64_2055` `+-commutative_binary64_2054`
5×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
3×	`distribute-rgt-neg-in_binary64_2082`
2×	`cancel-sign-sub-inv_binary64_2090` `distribute-lft-neg-in_binary64_2081`
1×	`distribute-lft-neg-out_binary64_2083`
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` `unsub-neg_binary64_2118` `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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	27	27
2	40	27
3	51	27
4	58	27
5	61	27
6	62	27
7	61	27

end0.0ms (0%)

sample825.0ms (27.5%)

Algorithm

1×

intervals

Results

275.0ms	8000×	body	128	valid
144.0ms	8000×	pre	128	true

Compiler

Compiled 152 to 126 computations (17.1% saved)

Details

analyze289.0ms (9.6%)

sample35.0ms (1.2%)

simplify142.0ms (4.7%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite35.0ms (1.2%)

series123.0ms (4.1%)

simplify70.0ms (2.3%)

prune28.0ms (0.9%)

localize10.0ms (0.3%)

rewrite37.0ms (1.2%)

series312.0ms (10.4%)

simplify81.0ms (2.7%)

prune17.0ms (0.6%)

localize13.0ms (0.4%)

rewrite96.0ms (3.2%)

series654.0ms (21.8%)

simplify70.0ms (2.3%)

prune54.0ms (1.8%)

regimes96.0ms (3.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample825.0ms (27.5%)

Profiling