Details

analyze534.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64_2129`
690×	`sub-neg_binary64_2117`
581×	`neg-mul-1_binary64_2120`
491×	`neg-sub0_binary64_2119`
476×	`associate-/r*_binary64_2068`
402×	`distribute-neg-frac_binary64_2088`
321×	`distribute-rgt-neg-in_binary64_2082`
280×	`distribute-rgt-neg-out_binary64_2084`
252×	`distribute-lft-neg-out_binary64_2083`
251×	`distribute-lft-neg-in_binary64_2081`
232×	`+-commutative_binary64_2054`
226×	`associate-/r/_binary64_2070`
220×	`associate-/l*_binary64_2069`
217×	`associate-*l/_binary64_2067`
201×	`associate-+l-_binary64_2059`
198×	`remove-double-neg_binary64_2112`
195×	`distribute-rgt-in_binary64_2074`
184×	`cancel-sign-sub-inv_binary64_2090`
144×	`times-frac_binary64_2130`
141×	`unsub-neg_binary64_2118`
131×	`associate-/l/_binary64_2071`
119×	`associate-*r/_binary64_2066`
117×	`associate--r+_binary64_2060`
106×	`distribute-lft-in_binary64_2073`
93×	`distribute-frac-neg_binary64_2087`
88×	`sub0-neg_binary64_2111`
76×	`cancel-sign-sub_binary64_2089`
72×	`*-lft-identity_binary64_2113`
71×	`associate--l-_binary64_2062`
68×	`distribute-neg-in_binary64_2085`
63×	`*-commutative_binary64_2055`
61×	`+-lft-identity_binary64_2108`
57×	`associate--r-_binary64_2063`
54×	`/-rgt-identity_binary64_2115`
53×	`+-rgt-identity_binary64_2109`
45×	`associate-r_binary64_2064`
41×	`associate-+r-_binary64_2058`
40×	`associate-+l+_binary64_2057`
36×	`div0_binary64_2105`
26×	`associate-l_binary64_2065`
24×	`--rgt-identity_binary64_2110`
18×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `associate--l+_binary64_2061`
17×	`associate-+r+_binary64_2056`
6×	`*-rgt-identity_binary64_2114`
3×	`sqr-neg_binary64_2138` `swap-sqr_binary64_2091`
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` `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` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `*-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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	95	96
2	171	96
3	323	96
4	480	96
5	786	96
6	1384	96
7	2448	96
8	3546	96
9	4339	96
10	4614	96
11	4871	96
12	4961	96
13	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample51.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	148×	body	256	valid
11.0ms	289×	pre	128	true
6.0ms	40×	body	512	valid
3.0ms	68×	body	128	valid
1.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify343.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1261×	`associate-/l*_binary64_2069`
1150×	`div-sub_binary64_2129`
772×	`distribute-rgt-in_binary64_2074`
702×	`distribute-lft-in_binary64_2073`
619×	`times-frac_binary64_2130`
576×	`associate-/r*_binary64_2068`
479×	`associate-/r/_binary64_2070`
467×	`cancel-sign-sub-inv_binary64_2090`
429×	`*-commutative_binary64_2055`
426×	`sub-neg_binary64_2117`
423×	`unsub-neg_binary64_2118`
407×	`associate-/l/_binary64_2071`
225×	`distribute-rgt-neg-in_binary64_2082`
208×	`distribute-rgt-out--_binary64_2078`
201×	`neg-mul-1_binary64_2120`
197×	`distribute-lft-neg-in_binary64_2081`
192×	`distribute-neg-frac_binary64_2088`
188×	`associate-*l/_binary64_2067`
163×	`neg-sub0_binary64_2119`
156×	`distribute-rgt-out_binary64_2077`
136×	`distribute-rgt-neg-out_binary64_2084`
121×	`associate--r+_binary64_2060`
112×	`+-commutative_binary64_2054`
99×	`distribute-lft-neg-out_binary64_2083`
80×	`distribute-lft-out_binary64_2075`
77×	`associate--r-_binary64_2063`
73×	`distribute-frac-neg_binary64_2087`
72×	`distribute-lft-out--_binary64_2076`
68×	`*-lft-identity_binary64_2113` `distribute-neg-out_binary64_2086`
66×	`associate-*r/_binary64_2066`
62×	`mul0-rgt_binary64_2107`
60×	`associate-r_binary64_2064`
59×	`associate--l-_binary64_2062`
55×	`div0_binary64_2105`
54×	`mul0-lft_binary64_2106`
51×	`associate-l_binary64_2065`
33×	`remove-double-neg_binary64_2112`
32×	`associate-+r-_binary64_2058`
30×	`+-lft-identity_binary64_2108`
28×	`/-rgt-identity_binary64_2115` `associate--l+_binary64_2061`
27×	`remove-double-div_binary64_2100`
22×	`distribute-neg-in_binary64_2085`
19×	`sub0-neg_binary64_2111` `--rgt-identity_binary64_2110`
17×	`*-rgt-identity_binary64_2114`
14×	`mul-1-neg_binary64_2116` `associate-+l+_binary64_2057`
13×	`associate-+l-_binary64_2059`
7×	`associate-+r+_binary64_2056`
5×	`+-rgt-identity_binary64_2109`
3×	`swap-sqr_binary64_2091`
1×	`1-exp_binary64_2168` `sqr-neg_binary64_2138`
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` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `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` `cancel-sign-sub_binary64_2089` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	24
2	65	24
3	128	24
4	178	24
5	287	24
6	460	24
7	754	24
8	1120	24
9	1142	24
10	1799	24
11	2162	24
12	1953	24
13	2041	24
14	2105	24
15	2131	24
16	2843	24
17	2603	24
18	2841	24
19	2951	24
20	3071	24
21	3113	24
22	3183	24
23	3171	24
24	3171	24
25	2191	24
26	2141	24
27	2105	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

54.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
27.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite179.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

51.2b

Rules

21×	`add-sqr-sqrt_binary64_2146`
14×	`*-un-lft-identity_binary64_2124`
9×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `sqrt-prod_binary64_2140` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
5×	`pow1_binary64_2185`
4×	`flip3--_binary64_2128` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090`
3×	`distribute-lft-out--_binary64_2076`
2×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071` `sqrt-div_binary64_2141`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r*_binary64_2068` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1900 to 1105 computations (41.8% saved)

series927.0ms (7.8%)

Error

0.1b

Counts

4 → 72

Calls

4 calls:

302.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
226.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
219.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
147.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2358 to 1932 computations (18.1% saved)

simplify130.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

794×	`times-frac_binary64_2130`
230×	`distribute-rgt-in_binary64_2074`
199×	`distribute-lft-in_binary64_2073`
182×	`cancel-sign-sub-inv_binary64_2090`
181×	`div-sub_binary64_2129`
165×	`distribute-rgt-neg-in_binary64_2082`
151×	`distribute-lft-neg-in_binary64_2081`
127×	`exp-prod_binary64_2176`
119×	`associate-r_binary64_2064`
111×	`associate-l_binary64_2065`
98×	`sub-neg_binary64_2117`
92×	`*-commutative_binary64_2055`
91×	`unswap-sqr_binary64_2092`
80×	`associate-/l*_binary64_2069`
71×	`neg-sub0_binary64_2119`
69×	`neg-mul-1_binary64_2120`
65×	`distribute-neg-frac_binary64_2088`
63×	`distribute-neg-in_binary64_2085`
58×	`associate-/r*_binary64_2068`
52×	`sqr-pow_binary64_2096`
45×	`+-commutative_binary64_2054`
44×	`cube-prod_binary64_2152`
31×	`distribute-rgt-out_binary64_2077`
30×	`associate-*l/_binary64_2067`
27×	`unsub-neg_binary64_2118` `distribute-lft-neg-out_binary64_2083` `associate-*r/_binary64_2066`
25×	`exp-sum_binary64_2170`
23×	`associate--r+_binary64_2060`
22×	`associate-+r+_binary64_2056`
20×	`associate-+l+_binary64_2057`
17×	`unpow3_binary64_2190`
16×	`exp-diff_binary64_2172` `distribute-lft-out_binary64_2075`
15×	`swap-sqr_binary64_2091`
14×	`associate-/r/_binary64_2070`
12×	`distribute-rgt-neg-out_binary64_2084`
11×	`cube-mult_binary64_2154`
10×	`cube-unmult_binary64_2161`
9×	`associate-+r-_binary64_2058`
8×	`pow-plus_binary64_2187` `difference-of-squares_binary64_2093`
7×	`+-rgt-identity_binary64_2109`
6×	`rem-sqrt-square_binary64_2137`
5×	`log-div_binary64_2211` `unpow2_binary64_2189` `mul-1-neg_binary64_2116`
4×	`log-prod_binary64_2210` `exp-sqrt_binary64_2177` `pow-sqr_binary64_2097`
3×	`unpow1/2_binary64_2188` `unpow1_binary64_2182` `exp-lft-sqr_binary64_2179` `cube-div_binary64_2153` `associate--l+_binary64_2061` `associate-+l-_binary64_2059`
2×	`log-pow_binary64_2213` `div-exp_binary64_2175` `sqr-neg_binary64_2138` `rem-square-sqrt_binary64_2136` `distribute-neg-out_binary64_2086` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076`
1×	`prod-exp_binary64_2173` `1-exp_binary64_2168` `cube-neg_binary64_2151` `rem-3cbrt-lft_binary64_2149` `remove-double-neg_binary64_2112` `div0_binary64_2105` `*-inverses_binary64_2104` `cancel-sign-sub_binary64_2089` `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-rec_binary64_2212` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `rec-exp_binary64_2174` `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` `rem-3cbrt-rft_binary64_2150` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `/-rgt-identity_binary64_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `distribute-frac-neg_binary64_2087` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072` `associate-/l/_binary64_2071`

Counts

146 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3603
1	550	3323
2	1858	3272
3	4753	3272
4	5207	3272

prune107.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	4	123

Error

0.1b

Counts

123 → 4

Compiler

Compiled 1784 to 978 computations (45.2% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -5)
0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite598.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

187×	`add-exp-log_binary64_2162`
103×	`prod-exp_binary64_2173`
60×	`div-exp_binary64_2175`
50×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
42×	`add-sqr-sqrt_binary64_2146`
33×	`add-cbrt-cube_binary64_2160`
28×	`unpow-prod-down_binary64_2203`
26×	`times-frac_binary64_2130`
23×	`add-cube-cbrt_binary64_2159` `-un-lft-identity_binary64_2124` `associate-l*_binary64_2065`
19×	`associate-/r*_binary64_2068`
14×	`sqr-pow_binary64_2096`
13×	`unswap-sqr_binary64_2092`
12×	`cube-prod_binary64_2152`
11×	`cbrt-unprod_binary64_2157`
10×	`associate-r_binary64_2064`
8×	`cbrt-undiv_binary64_2158`
6×	`pow1_binary64_2185`
4×	`add-log-exp_binary64_2163`
3×	`div-inv_binary64_2121` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l_binary64_2069` `-commutative_binary64_2055`
1×	`pow-prod-down_binary64_2195` `associate-*l/_binary64_2067`

Counts

4 → 204

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
12.0ms	(.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -5)
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 7335 to 4452 computations (39.3% saved)

series1.4s (12.2%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

551.0ms	(.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -5)
408.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
302.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
168.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 2870 to 2190 computations (23.7% saved)

simplify166.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

404×	`associate-l_binary64_2065`
380×	`times-frac_binary64_2130`
364×	`associate-/l*_binary64_2069`
318×	`associate-r_binary64_2064`
303×	`log-div_binary64_2211`
223×	`associate-/r*_binary64_2068`
211×	`log-prod_binary64_2210`
128×	`cube-prod_binary64_2152`
123×	`*-commutative_binary64_2055`
107×	`associate-*l/_binary64_2067`
94×	`exp-prod_binary64_2176` `sqr-pow_binary64_2096`
83×	`associate-*r/_binary64_2066`
76×	`associate-/l/_binary64_2071`
65×	`cube-div_binary64_2153`
62×	`unswap-sqr_binary64_2092`
56×	`sub-neg_binary64_2117`
48×	`log-pow_binary64_2213` `associate-/r/_binary64_2070`
44×	`*-rgt-identity_binary64_2114`
29×	`+-commutative_binary64_2054`
28×	`associate--l+_binary64_2061`
27×	`cube-unmult_binary64_2161` `cancel-sign-sub-inv_binary64_2090`
25×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
24×	`distribute-rgt-neg-in_binary64_2082`
23×	`*-lft-identity_binary64_2113`
21×	`swap-sqr_binary64_2091` `distribute-lft-neg-in_binary64_2081`
18×	`pow-plus_binary64_2187`
16×	`rem-sqrt-square_binary64_2137` `pow-sqr_binary64_2097`
12×	`log-rec_binary64_2212`
11×	`unpow3_binary64_2190` `associate-+l+_binary64_2057`
10×	`associate-+l-_binary64_2059`
8×	`cube-mult_binary64_2154` `/-rgt-identity_binary64_2115`
7×	`distribute-neg-frac_binary64_2088`
5×	`unsub-neg_binary64_2118`
4×	`unpow2_binary64_2189` `unpow1_binary64_2182` `associate-+r+_binary64_2056`
3×	`rem-square-sqrt_binary64_2136` `div-sub_binary64_2129` `distribute-lft-neg-out_binary64_2083`
2×	`unpow1/2_binary64_2188` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `count-2_binary64_2072`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `associate-+r-_binary64_2058`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-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-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `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` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-neg-in_binary64_2085` `distribute-rgt-neg-out_binary64_2084` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-rgt-out_binary64_2077` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--r+_binary64_2060`

Counts

237 → 173

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	4415
1	678	4013
2	3819	3977
3	4732	3977
4	4990	3977

prune172.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	173	4	177

Error

0.1b

Counts

177 → 4

Compiler

Compiled 2716 to 1631 computations (39.9% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite690.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

56×	`times-frac_binary64_2130`
51×	`add-exp-log_binary64_2162`
48×	`unpow-prod-down_binary64_2203`
47×	`add-sqr-sqrt_binary64_2146`
46×	`pow1_binary64_2185`
35×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
26×	`sqr-pow_binary64_2096`
23×	`add-cbrt-cube_binary64_2160`
21×	`prod-exp_binary64_2173`
19×	`pow-prod-down_binary64_2195`
18×	`pow-exp_binary64_2192`
14×	`pow-to-exp_binary64_2193`
12×	`div-exp_binary64_2175`
10×	`cbrt-unprod_binary64_2157`
9×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `unswap-sqr_binary64_2092`
8×	`associate-l_binary64_2065` `associate-r_binary64_2064` `associate-/l*_binary64_2069`
7×	`associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`pow-unpow_binary64_2201`
2×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187` `*-commutative_binary64_2055`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 192

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8985 to 5208 computations (42% saved)

series916.0ms (7.8%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

484.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
175.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
127.0ms	(pow.f64 (*.f64 a c) 3)
122.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 2855 to 2072 computations (27.4% saved)

simplify144.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

743×	`associate-/r/_binary64_2070`
501×	`log-prod_binary64_2210`
466×	`unswap-sqr_binary64_2092`
271×	`associate-/l*_binary64_2069`
206×	`associate-l_binary64_2065`
196×	`associate-r_binary64_2064`
195×	`times-frac_binary64_2130`
158×	`log-div_binary64_2211`
126×	`exp-prod_binary64_2176`
105×	`associate-/r*_binary64_2068`
92×	`swap-sqr_binary64_2091`
87×	`cube-prod_binary64_2152` `sqr-pow_binary64_2096`
86×	`associate-/l/_binary64_2071`
74×	`distribute-rgt-neg-in_binary64_2082`
73×	`distribute-lft-neg-in_binary64_2081`
61×	`*-commutative_binary64_2055`
40×	`cube-div_binary64_2153`
39×	`cancel-sign-sub-inv_binary64_2090`
33×	`log-pow_binary64_2213`
32×	`associate-*l/_binary64_2067`
30×	`distribute-neg-frac_binary64_2088`
19×	`associate-*r/_binary64_2066`
18×	`*-rgt-identity_binary64_2114`
16×	`cube-unmult_binary64_2161` `sub-neg_binary64_2117` `pow-sqr_binary64_2097`
14×	`log-rec_binary64_2212` `rem-sqrt-square_binary64_2137` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
12×	`*-lft-identity_binary64_2113`
11×	`distribute-rgt-in_binary64_2074`
9×	`distribute-lft-in_binary64_2073`
8×	`/-rgt-identity_binary64_2115` `+-commutative_binary64_2054`
7×	`pow-plus_binary64_2187` `unpow1_binary64_2182` `count-2_binary64_2072`
6×	`unpow2_binary64_2189`
5×	`unpow3_binary64_2190` `associate-+l+_binary64_2057` `associate-+r+_binary64_2056`
4×	`cube-mult_binary64_2154`
3×	`unpow1/2_binary64_2188`
2×	`rem-square-sqrt_binary64_2136`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-cbrt-cube_binary64_2148` `distribute-neg-in_binary64_2085` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-out_binary64_2077` `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` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-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-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `div-sub_binary64_2129` `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` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt-neg-out_binary64_2084` `distribute-rgt1-in_binary64_2080` `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_2061` `associate--r+_binary64_2060` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`

Counts

219 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	3357
1	429	3090
2	2286	3066
3	4774	3066
4	5427	3066

prune211.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	163	4	167

Error

0.1b

Counts

167 → 4

Compiler

Compiled 3597 to 2085 computations (42% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.1b	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
0.1b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
27.1b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite339.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

70×	`times-frac_binary64_2130`
58×	`*-un-lft-identity_binary64_2124`
46×	`add-sqr-sqrt_binary64_2146`
32×	`add-cube-cbrt_binary64_2159`
26×	`associate-/l*_binary64_2069`
18×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
14×	`difference-of-squares_binary64_2093`
13×	`distribute-lft-out_binary64_2075`
11×	`add-log-exp_binary64_2163`
7×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
6×	`associate-/r/_binary64_2070`
5×	`associate-/r*_binary64_2068`
4×	`diff-log_binary64_2216` `pow1_binary64_2185` `div-inv_binary64_2121`
3×	`flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-sub_binary64_2129` `associate-/l/_binary64_2071`
2×	`associate--l+_binary64_2061` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`associate--l-_binary64_2062`

Counts

4 → 135

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
14.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 6255 to 2862 computations (54.2% saved)

series1.1s (9.4%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

380.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
341.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
240.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
127.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 2792 to 2035 computations (27.1% saved)

simplify219.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1133×	`div-sub_binary64_2129`
184×	`distribute-rgt-neg-in_binary64_2082`
180×	`cancel-sign-sub-inv_binary64_2090`
175×	`associate-/l*_binary64_2069`
159×	`sub-neg_binary64_2117`
122×	`*-commutative_binary64_2055`
121×	`associate-/r*_binary64_2068`
111×	`associate-/l/_binary64_2071`
108×	`associate-l_binary64_2065` `associate-r_binary64_2064`
106×	`times-frac_binary64_2130`
103×	`exp-prod_binary64_2176`
96×	`unswap-sqr_binary64_2092`
87×	`distribute-neg-frac_binary64_2088`
86×	`distribute-rgt-in_binary64_2074`
82×	`associate-/r/_binary64_2070`
78×	`neg-sub0_binary64_2119`
75×	`neg-mul-1_binary64_2120`
74×	`cube-prod_binary64_2152` `associate-*l/_binary64_2067`
73×	`distribute-lft-in_binary64_2073`
71×	`distribute-neg-in_binary64_2085`
64×	`exp-sum_binary64_2170`
56×	`associate-*r/_binary64_2066`
53×	`exp-diff_binary64_2172` `sqr-pow_binary64_2096`
49×	`+-commutative_binary64_2054`
45×	`log-div_binary64_2211`
42×	`log-prod_binary64_2210`
35×	`cube-div_binary64_2153`
29×	`unsub-neg_binary64_2118`
28×	`distribute-lft-neg-out_binary64_2083` `distribute-lft-neg-in_binary64_2081`
25×	`unpow3_binary64_2190`
24×	`associate-+r+_binary64_2056`
21×	`cube-mult_binary64_2154` `*-rgt-identity_binary64_2114` `associate-+l+_binary64_2057`
19×	`swap-sqr_binary64_2091` `associate--r+_binary64_2060`
16×	`difference-of-squares_binary64_2093`
14×	`distribute-rgt-neg-out_binary64_2084`
11×	`cube-unmult_binary64_2161` `/-rgt-identity_binary64_2115`
8×	`pow-plus_binary64_2187`
7×	`distribute-frac-neg_binary64_2087` `distribute-rgt-out_binary64_2077` `associate--l-_binary64_2062` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`
6×	`sqr-neg_binary64_2138`
5×	`+-rgt-identity_binary64_2109` `div0_binary64_2105` `associate--l+_binary64_2061`
4×	`log-rec_binary64_2212` `unpow2_binary64_2189` `cube-neg_binary64_2151` `rem-sqrt-square_binary64_2137` `pow-sqr_binary64_2097` `distribute-neg-out_binary64_2086` `associate--r-_binary64_2063`
3×	`unpow1/2_binary64_2188` `unpow1_binary64_2182` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `mul-1-neg_binary64_2116` `sub0-neg_binary64_2111`
2×	`log-pow_binary64_2213` `exp-lft-sqr_binary64_2179` `prod-exp_binary64_2173` `remove-double-neg_binary64_2112` `cancel-sign-sub_binary64_2089` `distribute-lft-out_binary64_2075`
1×	`1-exp_binary64_2168` `rem-square-sqrt_binary64_2136` `-lft-identity_binary64_2113` `-inverses_binary64_2104` `+-inverses_binary64_2103` `distribute-rgt-out--_binary64_2078`
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` `rec-exp_binary64_2174` `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` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `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-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076` `count-2_binary64_2072`

Counts

198 → 170

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	8710
1	781	7984
2	2783	6472
3	4383	6472
4	6024	6472

prune222.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	167	3	170
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	170	4	174

Error

Counts

174 → 4

Compiler

Compiled 4375 to 2189 computations (50% saved)

regimes1.6s (13.8%)

Accuracy

Total 0.3b remaining (93.7%)

Threshold costs 0.3b (93.7%)

Compiler

Compiled 22206 to 14824 computations (33.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	20	33
2	20	33

end2.0ms (0%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

sample1.6s (13.6%)

Algorithm

1×

intervals

Results

387.0ms	3864×	body	256	valid
267.0ms	8797×	pre	128	true
217.0ms	1465×	body	512	valid
136.0ms	2671×	body	128	valid
36.0ms	797×	body	128	nan

Compiler

Compiled 182 to 147 computations (19.2% saved)

Details

analyze534.0ms (4.5%)

sample51.0ms (0.4%)

simplify343.0ms (2.9%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite179.0ms (1.5%)

series927.0ms (7.8%)

simplify130.0ms (1.1%)

prune107.0ms (0.9%)

localize27.0ms (0.2%)

rewrite598.0ms (5.1%)

series1.4s (12.2%)

simplify166.0ms (1.4%)

prune172.0ms (1.5%)

localize31.0ms (0.3%)

rewrite690.0ms (5.8%)

series916.0ms (7.8%)

simplify144.0ms (1.2%)

prune211.0ms (1.8%)

localize15.0ms (0.1%)

rewrite339.0ms (2.9%)

series1.1s (9.4%)

simplify219.0ms (1.9%)

prune222.0ms (1.9%)

regimes1.6s (13.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample1.6s (13.6%)

Profiling