Details

analyze422.0ms (1%)

Algorithm

1×	search
2×	egg-herbie

Rules

1530×	`associate-/l*_binary64_2069`
822×	`distribute-rgt-in_binary64_2074`
784×	`+-commutative_binary64_2054`
782×	`distribute-lft-in_binary64_2073`
604×	`associate-/l/_binary64_2071`
560×	`associate-l_binary64_2065`
531×	`associate-+l+_binary64_2057` `associate-+r+_binary64_2056`
385×	`times-frac_binary64_2130`
364×	`associate-/r/_binary64_2070`
359×	`*-commutative_binary64_2055`
292×	`distribute-rgt-out_binary64_2077`
280×	`associate-*l/_binary64_2067`
217×	`associate-r_binary64_2064`
60×	`/-rgt-identity_binary64_2115` `associate-/r*_binary64_2068`
46×	`*-lft-identity_binary64_2113`
36×	`remove-double-div_binary64_2100`
35×	`sqr-pow_binary64_2096`
24×	`*-rgt-identity_binary64_2114`
19×	`distribute-rgt1-in_binary64_2080` `associate-*r/_binary64_2066`
15×	`distribute-lft-out_binary64_2075`
10×	`swap-sqr_binary64_2091`
6×	`distribute-lft1-in_binary64_2079`
4×	`cube-div_binary64_2153`
2×	`cube-prod_binary64_2152`
1×	`unpow3_binary64_2190` `1-exp_binary64_2168` `cube-unmult_binary64_2161` `cube-mult_binary64_2154` `swap-alpha-beta`
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` `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-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` `div-sub_binary64_2129` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `unsub-neg_binary64_2118` `sub-neg_binary64_2117` `mul-1-neg_binary64_2116` `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` `pow-sqr_binary64_2097` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `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` `count-2_binary64_2072` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061` `associate--r+_binary64_2060` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	80
1	43	80
2	132	80
3	558	74
4	2748	74
5	2740	74
6	2924	74
7	3101	74
8	3476	74
9	3447	74
10	3681	74
11	3980	74
12	4234	74
13	4496	74
14	4932	74
15	4786	74
16	4793	74
17	4800	74
18	4807	74
19	4814	74
20	4821	74
21	4828	74
22	4850	74
23	4857	74
24	6300	74
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
42.1%	14%	43.8%	3
42.1%	14%	43.8%	4
52.7%	3.5%	43.8%	5
56.2%	0%	43.8%	6

Symmetry

(sort alpha beta)

Compiler

Compiled 42 to 29 computations (31% saved)

sample38.0ms (0.1%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify233.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1227×	`associate-/l*_binary64_2069`
689×	`distribute-rgt-in_binary64_2074`
661×	`distribute-lft-in_binary64_2073`
481×	`associate-/l/_binary64_2071`
450×	`associate-l_binary64_2065`
415×	`+-commutative_binary64_2054`
389×	`associate-+r+_binary64_2056`
388×	`associate-+l+_binary64_2057`
333×	`*-commutative_binary64_2055`
290×	`times-frac_binary64_2130`
288×	`associate-/r/_binary64_2070`
269×	`associate-*l/_binary64_2067`
244×	`associate-/r*_binary64_2068`
210×	`associate-r_binary64_2064`
144×	`distribute-rgt-out_binary64_2077`
60×	`/-rgt-identity_binary64_2115` `*-lft-identity_binary64_2113`
38×	`*-rgt-identity_binary64_2114`
36×	`remove-double-div_binary64_2100`
35×	`sqr-pow_binary64_2096`
27×	`associate-*r/_binary64_2066`
23×	`distribute-rgt1-in_binary64_2080`
16×	`distribute-lft-out_binary64_2075`
14×	`distribute-lft1-in_binary64_2079`
10×	`swap-sqr_binary64_2091`
4×	`cube-div_binary64_2153`
2×	`cube-prod_binary64_2152`
1×	`unpow3_binary64_2190` `1-exp_binary64_2168` `cube-unmult_binary64_2161` `cube-mult_binary64_2154`
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` `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-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` `div-sub_binary64_2129` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `unsub-neg_binary64_2118` `sub-neg_binary64_2117` `mul-1-neg_binary64_2116` `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` `pow-sqr_binary64_2097` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `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` `count-2_binary64_2072` `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

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	36	40
2	110	40
3	444	37
4	2164	37
5	2127	37
6	2255	37
7	2514	37
8	2864	37
9	2835	37
10	2933	37
11	3060	37
12	3203	37
13	3503	37
14	4070	37
15	3881	37
16	3904	37
17	3911	37
18	3918	37
19	3925	37
20	3932	37
21	3939	37
22	3946	37
23	3953	37
24	5023	37

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.9b

Counts

2 → 2

Compiler

Compiled 85 to 60 computations (29.4% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.0b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
18.5b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite444.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

77×	`*-un-lft-identity_binary64_2124`
34×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `distribute-lft-out_binary64_2075`
24×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
21×	`add-sqr-sqrt_binary64_2146` `associate-r_binary64_2064`
18×	`associate-/r/_binary64_2070`
16×	`frac-times_binary64_2134`
15×	`add-cube-cbrt_binary64_2159`
14×	`times-frac_binary64_2130`
13×	`pow1_binary64_2185`
11×	`swap-sqr_binary64_2091`
10×	`prod-exp_binary64_2173` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157` `associate-*l/_binary64_2067`
9×	`associate-l_binary64_2065`
8×	`associate-*r/_binary64_2066`
7×	`associate-/l/_binary64_2071`
6×	`associate-/r*_binary64_2068`
5×	`associate-/l*_binary64_2069`
4×	`add-log-exp_binary64_2163`
3×	`div-inv_binary64_2121` `unswap-sqr_binary64_2092`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `pow-prod-down_binary64_2195` `*-commutative_binary64_2055`
1×	`pow2_binary64_2205` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `pow-sqr_binary64_2097` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`

Counts

4 → 158

Calls

4 calls:

29.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
28.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
18.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
16.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 6017 to 3676 computations (38.9% saved)

series3.3s (7.8%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

1.5s	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
671.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
480.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
180.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 14724 to 11706 computations (20.5% saved)

simplify222.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

352×	`distribute-rgt-in_binary64_2074`
331×	`distribute-lft-in_binary64_2073`
327×	`+-commutative_binary64_2054`
260×	`associate-+r+_binary64_2056`
228×	`*-commutative_binary64_2055`
164×	`associate-*r/_binary64_2066`
135×	`sub-neg_binary64_2117`
112×	`associate-/r*_binary64_2068`
100×	`associate-/l*_binary64_2069`
90×	`distribute-neg-in_binary64_2085`
74×	`times-frac_binary64_2130`
68×	`cancel-sign-sub-inv_binary64_2090`
45×	`sqr-pow_binary64_2096` `unswap-sqr_binary64_2092`
39×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
30×	`associate--l+_binary64_2061`
28×	`associate--r+_binary64_2060`
21×	`associate-r_binary64_2064`
16×	`distribute-rgt-neg-in_binary64_2082` `associate-l_binary64_2065`
14×	`swap-sqr_binary64_2091`
11×	`cube-unmult_binary64_2161` `*-rgt-identity_binary64_2114` `distribute-rgt-out_binary64_2077`
8×	`log-div_binary64_2211` `unpow2_binary64_2189` `exp-prod_binary64_2176` `distribute-lft-neg-in_binary64_2081`
7×	`log-prod_binary64_2210`
6×	`unpow3_binary64_2190` `unpow1_binary64_2182` `exp-sum_binary64_2170` `cube-mult_binary64_2154` `distribute-neg-frac_binary64_2088`
5×	`*-lft-identity_binary64_2113` `associate-+r-_binary64_2058`
4×	`cube-prod_binary64_2152`
3×	`associate-/l/_binary64_2071`
2×	`rem-sqrt-square_binary64_2137` `/-rgt-identity_binary64_2115` `distribute-lft-neg-out_binary64_2083` `distribute-rgt1-in_binary64_2080` `distribute-lft-out_binary64_2075` `associate-*l/_binary64_2067`
1×	`1-exp_binary64_2168` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-square-sqrt_binary64_2136` `div-sub_binary64_2129` `unsub-neg_binary64_2118` `pow-sqr_binary64_2097` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `count-2_binary64_2072` `associate-/r/_binary64_2070` `associate-+l+_binary64_2057`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-pow_binary64_2213` `log-rec_binary64_2212` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow1/2_binary64_2188` `pow-plus_binary64_2187` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `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` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt-neg-out_binary64_2084` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate-+l-_binary64_2059`

Counts

230 → 210

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	958	14664
1	3200	13209
2	5134	13209

prune853.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	205	5	210
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	206	6	212

Error

0.0b

Counts

212 → 6

Compiler

Compiled 11391 to 7752 computations (31.9% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 (+.f64 alpha 1) (.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 alpha (+.f64 beta 3)))
0.2b	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta)))
0.2b	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta)))
0.3b	(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))

rewrite1.8s (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

838×	`*-un-lft-identity_binary64_2124`
399×	`times-frac_binary64_2130`
360×	`distribute-lft-out_binary64_2075`
248×	`sqrt-prod_binary64_2140`
224×	`add-sqr-sqrt_binary64_2146`
150×	`add-cube-cbrt_binary64_2159`
127×	`swap-sqr_binary64_2091`
45×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
41×	`associate-l_binary64_2065` `associate-r_binary64_2064`
16×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
15×	`associate-/l/_binary64_2071` `associate-/l_binary64_2069` `associate-/r_binary64_2068`
14×	`associate-/r/_binary64_2070`
13×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `flip3-+_binary64_2127` `flip-+_binary64_2098`
11×	`pow1_binary64_2185`
10×	`frac-times_binary64_2134`
9×	`unswap-sqr_binary64_2092`
7×	`div-inv_binary64_2121` `associate-*r/_binary64_2066`
6×	`associate-*l/_binary64_2067`
4×	`add-log-exp_binary64_2163` `sqrt-div_binary64_2141`
3×	`frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`pow2_binary64_2205` `pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `pow-sqr_binary64_2097` `*-commutative_binary64_2055`

Counts

4 → 414

Calls

4 calls:

52.0ms	(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))
37.0ms	(/.f64 (.f64 (+.f64 alpha 1) (.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 alpha (+.f64 beta 3)))
15.0ms	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta)))
11.0ms	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 19079 to 14248 computations (25.3% saved)

series2.9s (6.9%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

1.5s	(/.f64 (.f64 (+.f64 alpha 1) (.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 alpha (+.f64 beta 3)))
685.0ms	(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))
177.0ms	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta)))
159.0ms	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 12384 to 9855 computations (20.4% saved)

simplify374.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

911×	`associate-/r*_binary64_2068`
278×	`distribute-rgt-in_binary64_2074`
267×	`distribute-lft-in_binary64_2073`
220×	`+-commutative_binary64_2054`
217×	`*-commutative_binary64_2055`
175×	`associate-*r/_binary64_2066`
173×	`associate-+r+_binary64_2056`
118×	`sub-neg_binary64_2117`
113×	`associate-/r/_binary64_2070`
92×	`associate-/l*_binary64_2069`
91×	`associate-/l/_binary64_2071`
77×	`distribute-neg-in_binary64_2085`
73×	`times-frac_binary64_2130`
63×	`associate-*l/_binary64_2067`
62×	`cancel-sign-sub-inv_binary64_2090`
46×	`unswap-sqr_binary64_2092`
45×	`sqr-pow_binary64_2096`
38×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
27×	`associate-r_binary64_2064` `associate--l+_binary64_2061`
22×	`associate--r+_binary64_2060`
18×	`swap-sqr_binary64_2091` `associate-l_binary64_2065`
15×	`distribute-rgt-neg-in_binary64_2082`
11×	`cube-unmult_binary64_2161`
9×	`log-div_binary64_2211` `*-rgt-identity_binary64_2114` `distribute-neg-frac_binary64_2088`
8×	`unpow2_binary64_2189` `distribute-lft-neg-in_binary64_2081` `distribute-rgt-out_binary64_2077`
7×	`*-lft-identity_binary64_2113`
6×	`log-prod_binary64_2210` `unpow3_binary64_2190` `unpow1_binary64_2182` `cube-mult_binary64_2154` `/-rgt-identity_binary64_2115`
5×	`associate-+r-_binary64_2058`
4×	`exp-prod_binary64_2176` `cube-prod_binary64_2152` `rem-sqrt-square_binary64_2137` `distribute-lft-neg-out_binary64_2083`
3×	`rem-square-sqrt_binary64_2136` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076`
2×	`unsub-neg_binary64_2118` `difference-of-squares_binary64_2093` `distribute-rgt1-in_binary64_2080` `distribute-lft-out_binary64_2075` `count-2_binary64_2072` `associate-+l-_binary64_2059`
1×	`1-exp_binary64_2168` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `sqr-abs_binary64_2139` `div-sub_binary64_2129` `pow-sqr_binary64_2097`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-pow_binary64_2213` `log-rec_binary64_2212` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow1/2_binary64_2188` `pow-plus_binary64_2187` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `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` `cube-neg_binary64_2151` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-neg_binary64_2138` `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` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt-neg-out_binary64_2084` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate-+l+_binary64_2057`

Counts

474 → 378

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	868	22918
1	2883	20914
2	6142	20914

prune1.4s (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	377	1	378
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	378	6	384

Error

Counts

384 → 6

Compiler

Compiled 17514 to 12703 computations (27.5% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))
0.0b	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
0.0b	(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))
0.4b	(/.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta))))

rewrite11.3s (27%)

Algorithm

1×	rewrite-expression-head

Error

Rules

4301×	`*-un-lft-identity_binary64_2124`
3503×	`times-frac_binary64_2130`
1826×	`distribute-lft-out_binary64_2075`
1097×	`add-sqr-sqrt_binary64_2146`
1079×	`add-cube-cbrt_binary64_2159`
681×	`associate-l_binary64_2065`
221×	`associate-/r/_binary64_2070`
112×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
110×	`div-inv_binary64_2121`
99×	`add-exp-log_binary64_2162`
61×	`add-cbrt-cube_binary64_2160`
53×	`div-exp_binary64_2175`
34×	`associate-/l*_binary64_2069`
31×	`cbrt-undiv_binary64_2158` `associate-/r*_binary64_2068`
20×	`prod-exp_binary64_2173`
10×	`cbrt-unprod_binary64_2157`
9×	`pow1_binary64_2185`
6×	`1-exp_binary64_2168` `rec-exp_binary64_2174`
5×	`unswap-sqr_binary64_2092` `associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `frac-times_binary64_2134` `associate-*r/_binary64_2066`
3×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071`
2×	`pow-prod-down_binary64_2195` `pow-flip_binary64_2198` `associate-*l/_binary64_2067`
1×	`inv-pow_binary64_2209` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055`

Counts

4 → 1559

Calls

4 calls:

168.0ms	(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))
77.0ms	(/.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta))))
45.0ms	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
11.0ms	(/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))

Compiler

Compiled 74929 to 55819 computations (25.5% saved)

series3.0s (7.2%)

Error

Counts

4 → 84

Calls

4 calls:

1.5s	(/.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta))))
460.0ms	(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))
382.0ms	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
157.0ms	(/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))

Compiler

Compiled 15041 to 11762 computations (21.8% saved)

simplify959.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

304×	`associate-/l/_binary64_2071`
302×	`associate-/r/_binary64_2070`
227×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
222×	`associate-*l/_binary64_2067`
169×	`associate-*r/_binary64_2066`
140×	`associate-/r*_binary64_2068`
115×	`associate-/l*_binary64_2069`
66×	`times-frac_binary64_2130`
60×	`sub-neg_binary64_2117`
27×	`sqr-pow_binary64_2096`
19×	`/-rgt-identity_binary64_2115`
14×	`div-sub_binary64_2129`
11×	`neg-mul-1_binary64_2120`
10×	`neg-sub0_binary64_2119`
9×	`unpow2_binary64_2189`
7×	`distribute-neg-in_binary64_2085`
5×	`cancel-sign-sub-inv_binary64_2090`
4×	`log-div_binary64_2211` `unpow3_binary64_2190` `cube-mult_binary64_2154`
3×	`distribute-rgt-out--_binary64_2078`
2×	`remove-double-div_binary64_2100` `distribute-neg-frac_binary64_2088`
1×	`log-rec_binary64_2212` `log-prod_binary64_2210` `exp-prod_binary64_2176` `1-exp_binary64_2168` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `difference-of-squares_binary64_2093` `swap-sqr_binary64_2091` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081` `distribute-lft1-in_binary64_2079` `distribute-lft-out_binary64_2075`
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` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `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` `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-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` `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` `pow-sqr_binary64_2097` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `unswap-sqr_binary64_2092` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083` `distribute-rgt1-in_binary64_2080` `distribute-rgt-out_binary64_2077` `distribute-lft-out--_binary64_2076` `count-2_binary64_2072` `associate-l_binary64_2065` `associate-r_binary64_2064` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061` `associate--r+_binary64_2060` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058` `associate-+l+_binary64_2057` `associate-+r+_binary64_2056` `-commutative_binary64_2055` `+-commutative_binary64_2054`

Counts

1643 → 828

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1669	82760
1	5052	82760

prune4.6s (11%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	828	0	828
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	828	6	834

Error

Counts

834 → 6

Compiler

Compiled 40589 to 29182 computations (28.1% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))
0.0b	(/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 beta 3)))
1.6b	(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 beta 3))))
18.5b	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))

rewrite1.2s (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

304×	`*-un-lft-identity_binary64_2124`
211×	`times-frac_binary64_2130`
137×	`distribute-lft-out_binary64_2075`
100×	`associate-/r/_binary64_2070`
91×	`associate-r_binary64_2064`
83×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
77×	`add-sqr-sqrt_binary64_2146`
67×	`add-cube-cbrt_binary64_2159`
54×	`frac-times_binary64_2134`
34×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
28×	`associate-*l/_binary64_2067`
27×	`associate-*r/_binary64_2066`
20×	`associate-/l*_binary64_2069`
14×	`div-inv_binary64_2121`
13×	`pow1_binary64_2185`
12×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
11×	`swap-sqr_binary64_2091`
9×	`associate-l_binary64_2065`
8×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
6×	`associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092`
3×	`associate-/l/_binary64_2071`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `pow-prod-down_binary64_2195` `*-commutative_binary64_2055`
1×	`pow2_binary64_2205` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `pow-sqr_binary64_2097` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`

Counts

4 → 315

Calls

4 calls:

53.0ms	(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 beta 3))))
25.0ms	(/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 beta 3)))
17.0ms	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
14.0ms	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 13790 to 9569 computations (30.6% saved)

series4.0s (9.5%)

Error

Counts

4 → 72

Calls

4 calls:

1.5s	(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 beta 3))))
1.2s	(/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 beta 3)))
513.0ms	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
179.0ms	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 16252 to 13023 computations (19.9% saved)

simplify359.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

438×	`distribute-rgt-in_binary64_2074`
318×	`+-commutative_binary64_2054`
264×	`*-commutative_binary64_2055`
255×	`associate-+r+_binary64_2056`
207×	`associate-*r/_binary64_2066`
140×	`sub-neg_binary64_2117`
124×	`associate-/r*_binary64_2068`
95×	`associate-/l*_binary64_2069`
92×	`distribute-neg-in_binary64_2085`
79×	`cancel-sign-sub-inv_binary64_2090`
68×	`times-frac_binary64_2130`
53×	`associate-/l/_binary64_2071`
48×	`unswap-sqr_binary64_2092`
45×	`sqr-pow_binary64_2096`
40×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
29×	`associate--r+_binary64_2060`
28×	`div-sub_binary64_2129`
27×	`distribute-lft-in_binary64_2073`
25×	`associate--l+_binary64_2061`
17×	`associate-l_binary64_2065` `associate-r_binary64_2064`
16×	`/-rgt-identity_binary64_2115`
14×	`distribute-rgt-neg-in_binary64_2082`
13×	`swap-sqr_binary64_2091`
12×	`distribute-rgt-out_binary64_2077`
11×	`cube-unmult_binary64_2161` `*-lft-identity_binary64_2113`
8×	`log-div_binary64_2211` `unpow2_binary64_2189` `exp-prod_binary64_2176`
7×	`log-prod_binary64_2210` `distribute-lft-neg-in_binary64_2081`
6×	`unpow3_binary64_2190` `unpow1_binary64_2182` `exp-sum_binary64_2170` `cube-mult_binary64_2154` `*-rgt-identity_binary64_2114` `associate-+r-_binary64_2058`
5×	`associate-/r/_binary64_2070`
4×	`cube-prod_binary64_2152` `distribute-neg-frac_binary64_2088` `distribute-lft-neg-out_binary64_2083`
3×	`distribute-rgt-out--_binary64_2078` `distribute-lft-out_binary64_2075`
2×	`rem-sqrt-square_binary64_2137` `unsub-neg_binary64_2118` `difference-of-squares_binary64_2093` `associate-*l/_binary64_2067`
1×	`1-exp_binary64_2168` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-square-sqrt_binary64_2136` `pow-sqr_binary64_2097` `count-2_binary64_2072` `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` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow1/2_binary64_2188` `pow-plus_binary64_2187` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `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` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt-neg-out_binary64_2084` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076` `associate--r-_binary64_2063` `associate-+l-_binary64_2059` `associate-+l+_binary64_2057`

Counts

387 → 282

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1060	23856
1	3407	22199
2	5048	22199

prune1.1s (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	282	0	282
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	282	6	288

Error

Counts

288 → 6

Compiler

Compiled 15629 to 10963 computations (29.9% saved)

regimes486.0ms (1.2%)

Accuracy

Total 0.1b remaining (90.7%)

Threshold costs 0.1b (90.7%)

Compiler

Compiled 6332 to 4838 computations (23.6% saved)

bsearch0.0ms (0%)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64_2054`
1×	`1-exp_binary64_2168` `*-commutative_binary64_2055`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `unpow1_binary64_2182` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `unsub-neg_binary64_2118` `sub-neg_binary64_2117` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `cancel-sign-sub-inv_binary64_2090` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-neg-in_binary64_2085` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	25	37
2	24	37

Compiler

Compiled 50 to 36 computations (28% saved)

end0.0ms (0%)

sample2.7s (6.5%)

Algorithm

1×

intervals

Results

492.0ms	8000×	body	128	valid
135.0ms	8000×	pre	128	true

Compiler

Compiled 2153 to 1643 computations (23.7% saved)

Details

analyze422.0ms (1%)

sample38.0ms (0.1%)

simplify233.0ms (0.6%)

prune6.0ms (0%)

localize12.0ms (0%)

rewrite444.0ms (1.1%)

series3.3s (7.8%)

simplify222.0ms (0.5%)

prune853.0ms (2%)

localize16.0ms (0%)

rewrite1.8s (4.4%)

series2.9s (6.9%)

simplify374.0ms (0.9%)

prune1.4s (3.5%)

localize20.0ms (0%)

rewrite11.3s (27%)

series3.0s (7.2%)

simplify959.0ms (2.3%)

prune4.6s (11%)

localize12.0ms (0%)

rewrite1.2s (2.9%)

series4.0s (9.5%)

simplify359.0ms (0.9%)

prune1.1s (2.6%)

regimes486.0ms (1.2%)

bsearch0.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample2.7s (6.5%)

Profiling