Details

analyze542.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`div-sub_binary64_2129`
692×	`sub-neg_binary64_2117`
595×	`neg-mul-1_binary64_2120`
552×	`associate-/r*_binary64_2068`
505×	`neg-sub0_binary64_2119`
447×	`distribute-neg-frac_binary64_2088`
324×	`distribute-frac-neg_binary64_2087`
315×	`distribute-rgt-neg-in_binary64_2082`
302×	`distribute-lft-neg-out_binary64_2083`
238×	`distribute-rgt-neg-out_binary64_2084`
227×	`remove-double-neg_binary64_2112`
226×	`associate-/r/_binary64_2070`
220×	`associate-/l*_binary64_2069`
219×	`unsub-neg_binary64_2118`
209×	`associate-*l/_binary64_2067`
189×	`distribute-rgt-in_binary64_2074`
184×	`cancel-sign-sub-inv_binary64_2090`
144×	`times-frac_binary64_2130`
143×	`cancel-sign-sub_binary64_2089`
119×	`associate-/l/_binary64_2071`
111×	`distribute-lft-neg-in_binary64_2081`
109×	`distribute-neg-in_binary64_2085`
106×	`distribute-lft-in_binary64_2073`
89×	`associate--r-_binary64_2063`
84×	`associate--r+_binary64_2060`
66×	`sub0-neg_binary64_2111`
61×	`+-lft-identity_binary64_2108`
60×	`*-commutative_binary64_2055`
56×	`--rgt-identity_binary64_2110` `+-commutative_binary64_2054`
54×	`/-rgt-identity_binary64_2115`
45×	`associate-r_binary64_2064` `associate-+l-_binary64_2059`
44×	`associate-*r/_binary64_2066`
43×	`*-lft-identity_binary64_2113`
40×	`associate-+l+_binary64_2057`
36×	`div0_binary64_2105`
31×	`+-rgt-identity_binary64_2109`
29×	`associate--l-_binary64_2062` `associate-+r-_binary64_2058`
26×	`associate-l_binary64_2065`
18×	`*-rgt-identity_binary64_2114` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
17×	`associate-+r+_binary64_2056`
6×	`associate--l+_binary64_2061`
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	34	104
1	88	96
2	164	96
3	316	96
4	473	96
5	779	96
6	1371	96
7	2448	96
8	3627	96
9	4406	96
10	4697	96
11	4882	96
12	4930	96
13	4963	96
14	4937	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)

sample49.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	127×	body	256	valid
11.0ms	282×	pre	128	true
6.0ms	47×	body	512	valid
4.0ms	82×	body	128	valid
1.0ms	26×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify319.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64_2129`
743×	`associate-/l*_binary64_2069`
567×	`times-frac_binary64_2130`
521×	`associate-/l/_binary64_2071`
427×	`associate-/r/_binary64_2070`
390×	`sub-neg_binary64_2117`
318×	`distribute-rgt-in_binary64_2074`
273×	`cancel-sign-sub-inv_binary64_2090`
256×	`distribute-neg-frac_binary64_2088`
247×	`distribute-lft-in_binary64_2073`
214×	`distribute-rgt-neg-in_binary64_2082`
199×	`unsub-neg_binary64_2118`
187×	`associate-/r*_binary64_2068`
179×	`distribute-lft-neg-in_binary64_2081`
116×	`neg-mul-1_binary64_2120`
113×	`associate-*l/_binary64_2067`
98×	`*-commutative_binary64_2055`
82×	`distribute-lft-neg-out_binary64_2083`
74×	`neg-sub0_binary64_2119` `distribute-frac-neg_binary64_2087`
67×	`distribute-rgt-neg-out_binary64_2084`
58×	`associate-r_binary64_2064`
55×	`+-commutative_binary64_2054`
54×	`associate--r+_binary64_2060`
49×	`div0_binary64_2105` `associate-l_binary64_2065`
48×	`mul0-rgt_binary64_2107`
45×	`associate-*r/_binary64_2066`
44×	`mul0-lft_binary64_2106`
42×	`remove-double-div_binary64_2100`
38×	`associate--r-_binary64_2063`
30×	`+-lft-identity_binary64_2108`
26×	`distribute-neg-in_binary64_2085` `associate--l-_binary64_2062`
23×	`cancel-sign-sub_binary64_2089`
22×	`/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112`
19×	`sub0-neg_binary64_2111`
17×	`*-lft-identity_binary64_2113`
14×	`associate-+l-_binary64_2059` `associate-+r-_binary64_2058` `associate-+l+_binary64_2057`
10×	`*-rgt-identity_binary64_2114` `distribute-rgt-out--_binary64_2078` `distribute-rgt-out_binary64_2077` `associate--l+_binary64_2061`
8×	`distribute-neg-out_binary64_2086`
7×	`--rgt-identity_binary64_2110` `associate-+r+_binary64_2056`
6×	`mul-1-neg_binary64_2116`
5×	`+-rgt-identity_binary64_2109`
4×	`distribute-lft-out_binary64_2075`
2×	`distribute-lft-out--_binary64_2076`
1×	`1-exp_binary64_2168` `swap-sqr_binary64_2091`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-pow_binary64_2213` `log-rec_binary64_2212` `log-div_binary64_2211` `log-prod_binary64_2210` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow3_binary64_2190` `unpow2_binary64_2189` `unpow1/2_binary64_2188` `pow-plus_binary64_2187` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow1_binary64_2182` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `exp-prod_binary64_2176` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `exp-sum_binary64_2170` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-unmult_binary64_2161` `cube-mult_binary64_2154` `cube-div_binary64_2153` `cube-prod_binary64_2152` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `*-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` `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	13	26
1	29	24
2	62	24
3	125	24
4	175	24
5	284	24
6	456	24
7	759	24
8	1186	24
9	1635	24
10	1913	24
11	1868	24
12	1916	24
13	1985	24
14	2029	24
15	1597	24
16	1589	24
17	1581	24
18	1585	24
19	1587	24
20	1587	24
21	1801	24
22	1901	24
23	1835	24
24	1843	24
25	1865	24
26	1877	24
27	1883	24
28	1883	24
29	1927	24
30	1983	24
31	1935	24
32	1935	24
33	1746	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

54.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
30.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite170.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

51.4b

Rules

20×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `*-un-lft-identity_binary64_2124`
9×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
4×	`cancel-sign-sub-inv_binary64_2090` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `sqrt-prod_binary64_2140` `distribute-lft-out--_binary64_2076` `pow-prod-down_binary64_2195` `associate-r_binary64_2064`
2×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071`
1×	`associate-l_binary64_2065` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r_binary64_2068`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series902.0ms (6.3%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

299.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
231.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
214.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
83.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64_2069`
244×	`distribute-rgt-in_binary64_2074`
224×	`distribute-rgt-neg-in_binary64_2082`
216×	`distribute-lft-in_binary64_2073`
205×	`distribute-lft-neg-in_binary64_2081`
181×	`cancel-sign-sub-inv_binary64_2090`
170×	`associate-l_binary64_2065`
166×	`associate-r_binary64_2064`
162×	`associate-/r/_binary64_2070`
152×	`associate-/l/_binary64_2071`
112×	`*-commutative_binary64_2055`
99×	`unswap-sqr_binary64_2092`
79×	`sub-neg_binary64_2117`
77×	`distribute-neg-frac_binary64_2088`
76×	`times-frac_binary64_2130`
75×	`associate-/r*_binary64_2068`
73×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
63×	`distribute-neg-in_binary64_2085`
59×	`div-sub_binary64_2129`
54×	`sqr-pow_binary64_2096`
52×	`exp-prod_binary64_2176`
45×	`+-commutative_binary64_2054`
34×	`associate-*l/_binary64_2067`
32×	`associate-*r/_binary64_2066`
29×	`distribute-rgt-out_binary64_2077`
25×	`cube-prod_binary64_2152` `unsub-neg_binary64_2118` `distribute-lft-neg-out_binary64_2083`
24×	`associate-+r+_binary64_2056`
22×	`associate-+l+_binary64_2057`
21×	`log-prod_binary64_2210`
18×	`swap-sqr_binary64_2091` `associate--r+_binary64_2060`
17×	`distribute-lft-out_binary64_2075`
13×	`-rgt-identity_binary64_2114` `-lft-identity_binary64_2113`
12×	`distribute-rgt-neg-out_binary64_2084`
10×	`unpow3_binary64_2190`
9×	`cube-mult_binary64_2154`
8×	`/-rgt-identity_binary64_2115` `difference-of-squares_binary64_2093`
7×	`exp-sum_binary64_2170` `associate-+r-_binary64_2058`
6×	`log-div_binary64_2211` `exp-diff_binary64_2172` `+-rgt-identity_binary64_2109`
5×	`cube-unmult_binary64_2161`
4×	`pow-plus_binary64_2187` `pow-sqr_binary64_2097`
3×	`unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `cube-div_binary64_2153` `rem-sqrt-square_binary64_2137` `mul-1-neg_binary64_2116` `associate-+l-_binary64_2059`
2×	`log-pow_binary64_2213` `div-exp_binary64_2175` `rem-square-sqrt_binary64_2136` `distribute-neg-out_binary64_2086` `distribute-lft-out--_binary64_2076`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-lft_binary64_2149` `remove-double-neg_binary64_2112` `*-inverses_binary64_2104` `count-2_binary64_2072` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-rec_binary64_2212` `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-sqr_binary64_2179` `exp-sqrt_binary64_2177` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078`

Counts

137 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3206
1	575	2948
2	2075	2923
3	5268	2923

prune141.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	5	108

Error

0.2b

Counts

108 → 5

Compiler

Compiled 2697 to 1494 computations (44.6% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite640.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

112×	`add-exp-log_binary64_2162`
54×	`prod-exp_binary64_2173`
42×	`add-sqr-sqrt_binary64_2146`
39×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `div-exp_binary64_2175`
29×	`unpow-prod-down_binary64_2203`
25×	`add-cbrt-cube_binary64_2160`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`associate-r_binary64_2064` `times-frac_binary64_2130` `associate-/r*_binary64_2068`
16×	`unswap-sqr_binary64_2092` `cube-prod_binary64_2152`
15×	`sqr-pow_binary64_2096`
13×	`associate-l_binary64_2065`
8×	`cbrt-unprod_binary64_2157`
5×	`cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069`

Counts

4 → 186

Calls

4 calls:

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

Compiler

Compiled 9591 to 6025 computations (37.2% saved)

series1.2s (8.4%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

509.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
292.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
179.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
160.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3016 computations (25.5% saved)

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-l_binary64_2065`
323×	`associate-r_binary64_2064`
302×	`times-frac_binary64_2130`
301×	`associate-/l*_binary64_2069`
266×	`log-div_binary64_2211`
208×	`log-prod_binary64_2210`
167×	`associate-/r*_binary64_2068`
134×	`distribute-rgt-neg-in_binary64_2082`
133×	`swap-sqr_binary64_2091`
132×	`distribute-lft-neg-in_binary64_2081`
128×	`cube-prod_binary64_2152`
106×	`exp-prod_binary64_2176`
96×	`*-commutative_binary64_2055`
93×	`sqr-pow_binary64_2096`
90×	`cancel-sign-sub-inv_binary64_2090`
74×	`unswap-sqr_binary64_2092`
72×	`associate-*l/_binary64_2067`
57×	`associate-/l/_binary64_2071`
55×	`log-pow_binary64_2213`
49×	`*-rgt-identity_binary64_2114`
47×	`cube-div_binary64_2153`
38×	`associate-*r/_binary64_2066`
37×	`sub-neg_binary64_2117`
33×	`associate-/r/_binary64_2070`
25×	`distribute-neg-frac_binary64_2088` `distribute-rgt-in_binary64_2074`
23×	`cube-unmult_binary64_2161` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
21×	`*-lft-identity_binary64_2113`
20×	`/-rgt-identity_binary64_2115` `pow-sqr_binary64_2097`
19×	`pow-plus_binary64_2187`
18×	`rem-sqrt-square_binary64_2137` `+-commutative_binary64_2054`
16×	`log-rec_binary64_2212` `associate--l+_binary64_2061`
14×	`unpow3_binary64_2190`
11×	`cube-mult_binary64_2154`
7×	`distribute-neg-in_binary64_2085`
6×	`distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083` `associate-+l+_binary64_2057`
4×	`unpow2_binary64_2189` `unpow1_binary64_2182` `distribute-lft-out_binary64_2075`
3×	`rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `rem-square-sqrt_binary64_2136` `unsub-neg_binary64_2118`
2×	`unpow1/2_binary64_2188` `div-sub_binary64_2129` `distribute-rgt-out_binary64_2077` `count-2_binary64_2072` `associate-+r+_binary64_2056`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `distribute-lft-out--_binary64_2076`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `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-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-lft-in_binary64_2073` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--r+_binary64_2060` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`

Counts

216 → 150

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	3515
1	558	3190
2	3245	3175
3	4722	3175
4	4996	3175

prune443.0ms (3.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	150	5	155

Error

0.2b

Counts

155 → 5

Compiler

Compiled 7389 to 4569 computations (38.2% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite565.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

46×	`pow1_binary64_2185`
36×	`add-exp-log_binary64_2162`
26×	`add-cbrt-cube_binary64_2160`
23×	`add-sqr-sqrt_binary64_2146`
19×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173`
13×	`unpow-prod-down_binary64_2203`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `cbrt-unprod_binary64_2157`
10×	`associate-*r/_binary64_2066`
9×	`sqr-pow_binary64_2096` `unswap-sqr_binary64_2092`
8×	`pow-exp_binary64_2192` `associate-l_binary64_2065` `associate-r_binary64_2064`
7×	`pow-to-exp_binary64_2193` `associate-/l/_binary64_2071`
5×	`frac-sub_binary64_2133`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `frac-add_binary64_2132`
3×	`pow-unpow_binary64_2201` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
2×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187` `*-commutative_binary64_2055` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `pow2_binary64_2205` `swap-sqr_binary64_2091` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `flip3--_binary64_2128` `flip--_binary64_2099` `associate-/r*_binary64_2068`

Counts

4 → 127

Calls

4 calls:

33.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
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 8846 to 5294 computations (40.2% saved)

series961.0ms (6.7%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

462.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
162.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
137.0ms	(.f64 (.f64 a c) (*.f64 a c))
126.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify156.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64_2092`
340×	`associate-r_binary64_2064`
327×	`associate-l_binary64_2065`
302×	`log-prod_binary64_2210`
171×	`*-commutative_binary64_2055`
119×	`exp-prod_binary64_2176`
116×	`swap-sqr_binary64_2091`
112×	`cancel-sign-sub-inv_binary64_2090`
110×	`div-sub_binary64_2129`
96×	`times-frac_binary64_2130`
89×	`associate-/l*_binary64_2069`
83×	`sqr-pow_binary64_2096` `distribute-rgt-in_binary64_2074`
75×	`distribute-lft-in_binary64_2073`
74×	`cube-prod_binary64_2152`
70×	`associate-*r/_binary64_2066`
69×	`associate-*l/_binary64_2067`
65×	`sub-neg_binary64_2117` `associate-/r*_binary64_2068`
43×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
36×	`+-commutative_binary64_2054`
32×	`associate-+r+_binary64_2056`
29×	`associate-+l+_binary64_2057`
28×	`log-pow_binary64_2213`
21×	`distribute-rgt-neg-in_binary64_2082`
18×	`unsub-neg_binary64_2118` `distribute-neg-in_binary64_2085` `associate--r+_binary64_2060`
17×	`distribute-lft-neg-in_binary64_2081`
15×	`cube-unmult_binary64_2161` `pow-sqr_binary64_2097` `associate-/r/_binary64_2070`
12×	`rem-sqrt-square_binary64_2137`
10×	`*-lft-identity_binary64_2113`
9×	`pow-plus_binary64_2187` `*-rgt-identity_binary64_2114`
7×	`unpow1_binary64_2182`
6×	`unpow2_binary64_2189` `distribute-neg-frac_binary64_2088`
5×	`log-div_binary64_2211` `unpow3_binary64_2190` `associate-/l/_binary64_2071`
4×	`cube-mult_binary64_2154` `distribute-rgt-out--_binary64_2078`
3×	`unpow1/2_binary64_2188` `exp-cbrt_binary64_2178` `associate-+r-_binary64_2058`
2×	`exp-diff_binary64_2172` `cube-div_binary64_2153` `rem-square-sqrt_binary64_2136` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-out_binary64_2077` `count-2_binary64_2072` `associate--r-_binary64_2063` `associate--l+_binary64_2061` `associate-+l-_binary64_2059`
1×	`exp-sum_binary64_2170` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-cbrt-cube_binary64_2148` `/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `+-rgt-identity_binary64_2109`
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-lft-sqr_binary64_2179` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `mul-1-neg_binary64_2116` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `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-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `associate--l-_binary64_2062`

Counts

166 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	4878
1	679	4044
2	3033	4010
3	4718	4010
4	4933	4010

prune508.0ms (3.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	134	9	143

Error

0.1b

Counts

143 → 9

Compiler

Compiled 8698 to 5317 computations (38.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 1/3 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))) a))
0.5b	(pow.f64 (*.f64 a c) 2)
0.8b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite372.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

20×	`add-sqr-sqrt_binary64_2146`
18×	`add-exp-log_binary64_2162`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `pow1_binary64_2185`
13×	`associate-r_binary64_2064`
12×	`add-cbrt-cube_binary64_2160`
10×	`times-frac_binary64_2130`
9×	`pow-unpow_binary64_2201`
6×	`pow-pow_binary64_2196` `pow-exp_binary64_2192`
5×	`prod-exp_binary64_2173`
4×	`pow-prod-down_binary64_2195` `add-log-exp_binary64_2163`
3×	`unpow-prod-down_binary64_2203` `pow-to-exp_binary64_2193` `sqr-pow_binary64_2096` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
2×	`rem-cube-cbrt_binary64_2147` `unswap-sqr_binary64_2092`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `unpow2_binary64_2189` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-r/_binary64_2066` `div-inv_binary64_2121` `-commutative_binary64_2055`

Counts

4 → 89

Calls

4 calls:

28.0ms	(.f64 1/3 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))) a))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 5630 to 3513 computations (37.6% saved)

series920.0ms (6.4%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

454.0ms	(.f64 1/3 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))) a))
150.0ms	(pow.f64 (*.f64 a c) 4)
129.0ms	(pow.f64 (*.f64 a c) 3)
115.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3724 to 2786 computations (25.2% saved)

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64_2130`
625×	`associate-/l*_binary64_2069`
159×	`distribute-rgt-in_binary64_2074`
147×	`distribute-lft-in_binary64_2073`
143×	`unswap-sqr_binary64_2092`
126×	`associate-/r/_binary64_2070`
93×	`associate-r_binary64_2064`
89×	`log-prod_binary64_2210` `associate-/l/_binary64_2071`
83×	`associate-l_binary64_2065`
81×	`exp-prod_binary64_2176`
73×	`*-commutative_binary64_2055`
72×	`sqr-pow_binary64_2096`
62×	`swap-sqr_binary64_2091`
61×	`cube-prod_binary64_2152`
55×	`associate-*r/_binary64_2066`
43×	`div-sub_binary64_2129` `distribute-neg-frac_binary64_2088`
42×	`distribute-rgt-neg-in_binary64_2082`
41×	`associate-*l/_binary64_2067`
40×	`associate-/r*_binary64_2068`
37×	`distribute-lft-neg-in_binary64_2081`
33×	`cancel-sign-sub-inv_binary64_2090`
32×	`distribute-neg-in_binary64_2085`
27×	`sub-neg_binary64_2117`
23×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
19×	`pow-sqr_binary64_2097`
16×	`+-commutative_binary64_2054`
13×	`associate--r+_binary64_2060`
12×	`log-pow_binary64_2213` `unsub-neg_binary64_2118`
10×	`associate-+r+_binary64_2056`
9×	`cube-unmult_binary64_2161` `associate-+l+_binary64_2057`
8×	`distribute-lft-neg-out_binary64_2083`
7×	`rem-sqrt-square_binary64_2137` `distribute-rgt-neg-out_binary64_2084`
5×	`unpow3_binary64_2190` `pow-plus_binary64_2187`
4×	`log-div_binary64_2211` `cube-mult_binary64_2154`
3×	`unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `cube-div_binary64_2153` `/-rgt-identity_binary64_2115` `*-rgt-identity_binary64_2114`
2×	`exp-diff_binary64_2172` `count-2_binary64_2072` `associate-+r-_binary64_2058`
1×	`unpow1/3_binary64_2191` `exp-sum_binary64_2170` `1-exp_binary64_2168` `rem-cbrt-cube_binary64_2148` `*-lft-identity_binary64_2113` `+-rgt-identity_binary64_2109` `distribute-neg-out_binary64_2086` `distribute-rgt-out_binary64_2077` `distribute-lft-out_binary64_2075` `associate-+l-_binary64_2059`
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` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-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-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `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`

Counts

128 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	4199
1	413	3716
2	1444	3709
3	5247	3709

prune277.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	97	9	106

Error

0.1b

Counts

106 → 9

Compiler

Compiled 5134 to 3170 computations (38.3% saved)

regimes1.6s (11%)

Accuracy

Total 1.2b remaining (90.1%)

Threshold costs 0b (0%)

Compiler

Compiled 20413 to 14233 computations (30.3% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	67
1	49	67
2	66	67
3	94	67
4	123	67
5	156	67
6	182	67
7	196	67
8	202	67
9	203	67
10	203	67

end0.0ms (0%)

sample4.2s (29%)

Algorithm

1×

intervals

Results

386.0ms	3913×	body	256	valid
269.0ms	8890×	pre	128	true
207.0ms	1446×	body	512	valid
130.0ms	2641×	body	128	valid
43.0ms	890×	body	128	nan

Compiler

Compiled 3990 to 2784 computations (30.2% saved)

Iter	Nodes	Cost
0	34	67
1	49	67
2	66	67
3	94	67
4	123	67
5	156	67
6	182	67
7	196	67
8	202	67
9	203	67
10	203	67

Iter	Nodes	Cost
0	34	67
1	49	67
2	66	67
3	94	67
4	123	67
5	156	67
6	182	67
7	196	67
8	202	67
9	203	67
10	203	67

Details

analyze542.0ms (3.8%)

sample49.0ms (0.3%)

simplify319.0ms (2.2%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite170.0ms (1.2%)

series902.0ms (6.3%)

simplify93.0ms (0.6%)

prune141.0ms (1%)

localize29.0ms (0.2%)

rewrite640.0ms (4.5%)

series1.2s (8.4%)

simplify147.0ms (1%)

prune443.0ms (3.1%)

localize31.0ms (0.2%)

rewrite565.0ms (3.9%)

series961.0ms (6.7%)

simplify156.0ms (1.1%)

prune508.0ms (3.5%)

localize28.0ms (0.2%)

rewrite372.0ms (2.6%)

series920.0ms (6.4%)

simplify103.0ms (0.7%)

prune277.0ms (1.9%)

regimes1.6s (11%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample4.2s (29%)

Profiling

Iter	Nodes	Cost
0	34	67
1	49	67
2	66	67
3	94	67
4	123	67
5	156	67
6	182	67
7	196	67
8	202	67
9	203	67
10	203	67