Details

analyze439.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

1106×	`div-sub_binary64_1788`
857×	`sub-neg_binary64_1776`
697×	`associate-/r*_binary64_1727`
626×	`distribute-rgt-in_binary64_1733`
464×	`neg-mul-1_binary64_1779`
413×	`neg-sub0_binary64_1778`
403×	`distribute-frac-neg_binary64_1746`
398×	`unsub-neg_binary64_1777`
376×	`times-frac_binary64_1789`
317×	`distribute-rgt-neg-in_binary64_1741`
289×	`distribute-lft-neg-in_binary64_1740`
274×	`*-commutative_binary64_1714`
252×	`associate-/l*_binary64_1728`
251×	`cancel-sign-sub-inv_binary64_1749`
223×	`associate-/r/_binary64_1729`
220×	`associate-*l/_binary64_1726`
199×	`distribute-neg-frac_binary64_1747`
198×	`distribute-lft-neg-out_binary64_1742`
188×	`distribute-rgt-neg-out_binary64_1743`
186×	`+-commutative_binary64_1713`
183×	`associate-/l/_binary64_1730`
179×	`associate-+l-_binary64_1718`
177×	`distribute-neg-in_binary64_1744`
174×	`cancel-sign-sub_binary64_1748`
171×	`associate--l-_binary64_1721`
165×	`associate--r-_binary64_1722`
118×	`associate--r+_binary64_1719`
88×	`associate-+l+_binary64_1716`
82×	`distribute-lft-in_binary64_1732`
80×	`distribute-neg-out_binary64_1745`
79×	`associate--l+_binary64_1720`
72×	`associate-+r-_binary64_1717`
68×	`associate-r_binary64_1723`
61×	`associate-l_binary64_1724`
58×	`associate-+r+_binary64_1715`
48×	`sub0-neg_binary64_1770`
46×	`--rgt-identity_binary64_1769`
44×	`/-rgt-identity_binary64_1774` `remove-double-neg_binary64_1771`
39×	`*-lft-identity_binary64_1772`
36×	`distribute-rgt-out--_binary64_1737`
30×	`mul0-lft_binary64_1765`
26×	`+-rgt-identity_binary64_1768` `div0_binary64_1764` `distribute-lft-out--_binary64_1735`
20×	`+-lft-identity_binary64_1767`
19×	`associate-*r/_binary64_1725`
14×	`distribute-rgt1-in_binary64_1739`
12×	`*-rgt-identity_binary64_1773`
8×	`remove-double-div_binary64_1759` `distribute-lft1-in_binary64_1738` `distribute-rgt-out_binary64_1736`
5×	`mul0-rgt_binary64_1766`
4×	`mul-1-neg_binary64_1775` `*-inverses_binary64_1763`
1×	`1-exp_binary64_1827`
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_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-prod_binary64_1835` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `pow-sqr_binary64_1756` `sqr-pow_binary64_1755` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `swap-sqr_binary64_1750` `distribute-lft-out_binary64_1734` `count-2_binary64_1731`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	33	38
2	56	38
3	99	38
4	171	38
5	310	38
6	619	38
7	1191	38
8	2566	38
9	3278	38
10	3409	38
11	3557	38
12	3617	38
13	3621	38
14	3646	38
15	3790	38
16	3881	38
17	3991	38
18	4027	38
19	4045	38
20	4045	38
21	4661	38
22	4747	38
23	4733	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

Compiler

Compiled 20 to 16 computations (20% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	188×	body	128	valid
4.0ms	37×	body	1024	valid
4.0ms	256×	pre	128	true
2.0ms	21×	body	512	valid
1.0ms	9×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify240.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1179×	`div-sub_binary64_1788`
672×	`sub-neg_binary64_1776`
434×	`cancel-sign-sub-inv_binary64_1749`
422×	`associate-/l*_binary64_1728`
385×	`distribute-rgt-neg-in_binary64_1741`
383×	`neg-mul-1_binary64_1779`
347×	`distribute-rgt-in_binary64_1733`
342×	`*-commutative_binary64_1714`
339×	`neg-sub0_binary64_1778`
326×	`distribute-lft-neg-in_binary64_1740`
323×	`distribute-frac-neg_binary64_1746`
321×	`unsub-neg_binary64_1777`
282×	`distribute-neg-frac_binary64_1747`
259×	`associate--r+_binary64_1719`
251×	`distribute-lft-in_binary64_1732`
241×	`associate-/r/_binary64_1729`
240×	`distribute-neg-in_binary64_1744`
210×	`distribute-rgt-neg-out_binary64_1743`
191×	`distribute-lft-neg-out_binary64_1742`
164×	`associate--l+_binary64_1720`
147×	`associate--r-_binary64_1722`
146×	`+-commutative_binary64_1713`
141×	`times-frac_binary64_1789`
115×	`associate-/r*_binary64_1727`
110×	`associate--l-_binary64_1721`
109×	`associate-/l/_binary64_1730`
105×	`associate-+l-_binary64_1718`
99×	`distribute-neg-out_binary64_1745`
82×	`associate-*l/_binary64_1726`
73×	`remove-double-neg_binary64_1771`
49×	`associate-*r/_binary64_1725`
45×	`associate-r_binary64_1723` `associate-+r-_binary64_1717`
35×	`sub0-neg_binary64_1770` `cancel-sign-sub_binary64_1748`
34×	`--rgt-identity_binary64_1769`
30×	`/-rgt-identity_binary64_1774`
29×	`associate-l_binary64_1724`
28×	`*-lft-identity_binary64_1772` `associate-+l+_binary64_1716`
22×	`associate-+r+_binary64_1715`
21×	`distribute-rgt-out_binary64_1736`
20×	`*-rgt-identity_binary64_1773`
18×	`remove-double-div_binary64_1759`
17×	`distribute-rgt1-in_binary64_1739`
15×	`distribute-rgt-out--_binary64_1737`
14×	`+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767`
12×	`div0_binary64_1764`
11×	`distribute-lft-out--_binary64_1735`
10×	`mul0-rgt_binary64_1766`
9×	`mul-1-neg_binary64_1775`
7×	`mul0-lft_binary64_1765`
6×	`distribute-lft-out_binary64_1734`
3×	`*-inverses_binary64_1763` `distribute-lft1-in_binary64_1738`
1×	`1-exp_binary64_1827`
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_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-prod_binary64_1835` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `pow-sqr_binary64_1756` `sqr-pow_binary64_1755` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `swap-sqr_binary64_1750` `count-2_binary64_1731`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	39	19
3	63	19
4	104	19
5	204	19
6	320	19
7	513	19
8	943	19
9	2087	19
10	2930	19
11	3705	19
12	3906	19
13	4077	19
14	4165	19
15	4198	19
16	4200	19
17	4320	19
18	4594	19
19	4698	19
20	4698	19
21	5018	19

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

16.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
1.0b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite128.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

15.9b

Rules

58×	`*-un-lft-identity_binary64_1783`
26×	`add-sqr-sqrt_binary64_1805`
25×	`times-frac_binary64_1789`
19×	`distribute-lft-out_binary64_1734`
14×	`add-cube-cbrt_binary64_1818`
6×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
5×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
4×	`add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
2×	`pow1_binary64_1844` `flip3-+_binary64_1786` `flip-+_binary64_1757` `div-sub_binary64_1788` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`sum-log_binary64_1874` `associate-+l-_binary64_1718` `+-commutative_binary64_1713` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

2 → 65

Calls

2 calls:

17.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 1500 to 803 computations (46.5% saved)

series543.0ms (5.7%)

Error

0.1b

Counts

2 → 40

Calls

2 calls:

280.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
192.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 2952 to 2371 computations (19.7% saved)

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

482×	`times-frac_binary64_1789`
472×	`distribute-rgt-in_binary64_1733`
406×	`distribute-lft-in_binary64_1732`
380×	`cancel-sign-sub-inv_binary64_1749`
331×	`sub-neg_binary64_1776`
129×	`+-commutative_binary64_1713`
122×	`associate--r+_binary64_1719`
118×	`associate--l+_binary64_1720`
113×	`div-sub_binary64_1788`
103×	`associate-+l+_binary64_1716`
95×	`distribute-neg-in_binary64_1744`
81×	`associate-+r+_binary64_1715`
80×	`associate-/l*_binary64_1728`
73×	`associate-/r*_binary64_1727`
57×	`*-commutative_binary64_1714`
56×	`distribute-neg-frac_binary64_1747`
51×	`unswap-sqr_binary64_1751`
50×	`neg-sub0_binary64_1778`
49×	`neg-mul-1_binary64_1779`
44×	`distribute-rgt-neg-in_binary64_1741`
40×	`unsub-neg_binary64_1777`
39×	`sqr-pow_binary64_1755`
37×	`distribute-lft-neg-in_binary64_1740`
28×	`associate-*r/_binary64_1725`
26×	`associate-*l/_binary64_1726`
24×	`cube-prod_binary64_1811` `associate-r_binary64_1723`
23×	`associate-l_binary64_1724`
20×	`associate-/l/_binary64_1730`
17×	`distribute-rgt-out_binary64_1736`
13×	`distribute-rgt1-in_binary64_1739` `associate-/r/_binary64_1729`
11×	`unpow3_binary64_1849` `*-rgt-identity_binary64_1773`
10×	`distribute-lft-neg-out_binary64_1742` `distribute-rgt-out--_binary64_1737`
9×	`log-prod_binary64_1869` `cube-unmult_binary64_1820` `cube-div_binary64_1812`
8×	`exp-sum_binary64_1829` `/-rgt-identity_binary64_1774`
6×	`log-div_binary64_1870` `pow-plus_binary64_1846` `distribute-lft-out_binary64_1734`
5×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `exp-prod_binary64_1835` `exp-diff_binary64_1831` `cube-mult_binary64_1813`
4×	`unpow1_binary64_1841` `rem-sqrt-square_binary64_1796` `swap-sqr_binary64_1750` `distribute-rgt-neg-out_binary64_1743`
3×	`*-lft-identity_binary64_1772` `associate--r-_binary64_1722` `associate-+l-_binary64_1718`
2×	`mul-1-neg_binary64_1775` `associate-+r-_binary64_1717`
1×	`prod-exp_binary64_1832` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `sqr-neg_binary64_1797` `remove-double-neg_binary64_1771` `pow-sqr_binary64_1756` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `distribute-lft1-in_binary64_1738` `associate--l-_binary64_1721`
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_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `rem-square-sqrt_binary64_1795` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731`

Counts

105 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	3163
1	681	3074
2	2223	2918
3	4840	2918
4	5018	2918

prune132.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	4	93

Error

0.0b

Counts

93 → 4

Compiler

Compiled 2488 to 1529 computations (38.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
1.0b	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
2.9b	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))

rewrite587.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

150×	`*-un-lft-identity_binary64_1783`
76×	`times-frac_binary64_1789`
74×	`add-sqr-sqrt_binary64_1805`
48×	`distribute-lft-out_binary64_1734`
39×	`add-cube-cbrt_binary64_1818`
31×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811` `associate-l_binary64_1724`
15×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
12×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`add-log-exp_binary64_1822`
7×	`pow1_binary64_1844` `flip3-+_binary64_1786` `flip-+_binary64_1757`
6×	`associate-/r/_binary64_1729`
4×	`associate-r_binary64_1723`
3×	`div-inv_binary64_1780` `pow-unpow_binary64_1860`
2×	`sum-log_binary64_1874` `+-commutative_binary64_1713` `div-exp_binary64_1834` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `cbrt-undiv_binary64_1817` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `associate-*r/_binary64_1725`
1×	`div-sub_binary64_1788` `associate-+r-_binary64_1717` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-div_binary64_1812` `sqr-pow_binary64_1755` `pow-prod-down_binary64_1854` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-l/_binary64_1726` `-commutative_binary64_1714`

Counts

4 → 164

Calls

4 calls:

33.0ms	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
25.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
15.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
12.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

Compiler

Compiled 8577 to 5266 computations (38.6% saved)

series2.3s (24%)

Error

0.0b

Counts

4 → 70

Calls

4 calls:

986.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
409.0ms	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
342.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
291.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))

Compiler

Compiled 11005 to 8342 computations (24.2% saved)

simplify164.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

367×	`associate-/l*_binary64_1728`
309×	`times-frac_binary64_1789`
255×	`associate-/r*_binary64_1727`
204×	`distribute-rgt-in_binary64_1733`
193×	`distribute-lft-in_binary64_1732`
164×	`+-commutative_binary64_1713`
155×	`*-commutative_binary64_1714`
142×	`sub-neg_binary64_1776`
115×	`sqr-pow_binary64_1755`
109×	`associate-+r+_binary64_1715`
94×	`cancel-sign-sub-inv_binary64_1749`
89×	`associate-*r/_binary64_1725`
62×	`distribute-neg-in_binary64_1744`
56×	`unswap-sqr_binary64_1751`
44×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `associate-/r/_binary64_1729`
37×	`cube-div_binary64_1812`
32×	`neg-sub0_binary64_1778`
28×	`neg-mul-1_binary64_1779` `associate--l+_binary64_1720` `associate--r+_binary64_1719`
26×	`mul-1-neg_binary64_1775`
22×	`associate-*l/_binary64_1726`
21×	`associate-/l/_binary64_1730`
20×	`distribute-rgt-neg-in_binary64_1741`
16×	`distribute-lft-neg-in_binary64_1740`
14×	`exp-prod_binary64_1835`
13×	`log-prod_binary64_1869` `cube-prod_binary64_1811`
12×	`swap-sqr_binary64_1750`
10×	`distribute-rgt-out_binary64_1736`
9×	`div-sub_binary64_1788`
8×	`distribute-neg-frac_binary64_1747`
7×	`log-div_binary64_1870`
6×	`-rgt-identity_binary64_1773` `-lft-identity_binary64_1772`
5×	`unpow2_binary64_1848` `unpow1_binary64_1841` `pow-sqr_binary64_1756` `distribute-rgt1-in_binary64_1739` `distribute-lft-out_binary64_1734` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`distribute-lft-neg-out_binary64_1742` `distribute-rgt-out--_binary64_1737`
3×	`log-pow_binary64_1872` `pow-plus_binary64_1846` `cube-unmult_binary64_1820` `rem-cube-cbrt_binary64_1806` `rem-sqrt-square_binary64_1796` `/-rgt-identity_binary64_1774` `difference-of-sqr--1_binary64_1754` `associate-+r-_binary64_1717`
2×	`prod-exp_binary64_1832` `rem-square-sqrt_binary64_1795` `difference-of-squares_binary64_1752`
1×	`unpow1/2_binary64_1847` `exp-diff_binary64_1831` `exp-sum_binary64_1829` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-cbrt-cube_binary64_1807` `remove-double-neg_binary64_1771` `distribute-lft1-in_binary64_1738` `associate-+l-_binary64_1718`
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_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-rec_binary64_1871` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `unsub-neg_binary64_1777` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l+_binary64_1716`

Counts

234 → 167

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	638	9848
1	2128	9336
2	5101	9336

prune547.0ms (5.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	167	4	171

Error

0.0b

Counts

171 → 4

Compiler

Compiled 9910 to 6155 computations (37.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `times-frac_binary64_1789` `*-un-lft-identity_binary64_1783`
3×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`associate-/l/_binary64_1730`
1×	`pow1_binary64_1844` `div-exp_binary64_1834` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

Compiler

Compiled 527 to 407 computations (22.8% saved)

series137.0ms (1.4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

131.0ms

(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

Compiler

Compiled 236 to 209 computations (11.4% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

580×	`distribute-rgt-out_binary64_1736`
472×	`times-frac_binary64_1789`
416×	`div-sub_binary64_1788`
353×	`associate-l_binary64_1724`
347×	`associate-/l*_binary64_1728`
293×	`associate-r_binary64_1723`
224×	`distribute-lft-out_binary64_1734`
222×	`distribute-rgt-in_binary64_1733`
201×	`associate-/l/_binary64_1730`
199×	`distribute-lft-in_binary64_1732`
162×	`associate-*l/_binary64_1726`
128×	`associate-/r*_binary64_1727`
98×	`*-commutative_binary64_1714`
94×	`associate--l+_binary64_1720`
86×	`sub-neg_binary64_1776`
85×	`associate-*r/_binary64_1725`
75×	`associate-/r/_binary64_1729`
70×	`associate-+l+_binary64_1716`
68×	`associate--l-_binary64_1721`
65×	`cancel-sign-sub-inv_binary64_1749`
55×	`associate-+r+_binary64_1715`
48×	`distribute-rgt1-in_binary64_1739`
46×	`*-lft-identity_binary64_1772`
41×	`*-rgt-identity_binary64_1773`
36×	`distribute-rgt-neg-in_binary64_1741`
34×	`cube-prod_binary64_1811`
30×	`distribute-neg-in_binary64_1744`
29×	`unsub-neg_binary64_1777`
28×	`+-commutative_binary64_1713`
27×	`distribute-lft1-in_binary64_1738`
26×	`log-prod_binary64_1869`
24×	`distribute-lft-neg-in_binary64_1740`
23×	`cube-div_binary64_1812`
21×	`log-div_binary64_1870` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `distribute-rgt-out--_binary64_1737` `associate-+l-_binary64_1718`
18×	`distribute-lft-neg-out_binary64_1742`
15×	`exp-prod_binary64_1835` `sqr-pow_binary64_1755` `distribute-rgt-neg-out_binary64_1743` `associate--r-_binary64_1722`
13×	`/-rgt-identity_binary64_1774` `swap-sqr_binary64_1750`
11×	`sub0-neg_binary64_1770`
9×	`unpow3_binary64_1849` `cube-mult_binary64_1813`
8×	`associate-+r-_binary64_1717`
7×	`+-rgt-identity_binary64_1768` `associate--r+_binary64_1719`
5×	`--rgt-identity_binary64_1769`
4×	`exp-sum_binary64_1829` `cube-unmult_binary64_1820`
3×	`log-rec_binary64_1871` `exp-lft-sqr_binary64_1838` `distribute-neg-frac_binary64_1747` `distribute-lft-out--_binary64_1735`
2×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `unswap-sqr_binary64_1751` `distribute-neg-out_binary64_1745` `count-2_binary64_1731`
1×	`unpow1_binary64_1841` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `1-exp_binary64_1827` `remove-double-neg_binary64_1771`
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_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `+-lft-identity_binary64_1767` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746`

Counts

38 → 19

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	639
1	156	592
2	364	592
3	878	592
4	3221	571
5	4585	571
6	5423	571

prune18.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	19	4	23

Error

0.0b

Counts

23 → 4

Compiler

Compiled 283 to 226 computations (20.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))
0.2b	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
0.3b	(/.f64 4 (*.f64 alpha alpha))
5.0b	(-.f64 (+.f64 (/.f64 2 alpha) (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))) (/.f64 4 (.f64 alpha alpha)))

rewrite474.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

84×	`add-sqr-sqrt_binary64_1805`
76×	`times-frac_binary64_1789`
62×	`*-un-lft-identity_binary64_1783`
58×	`add-cube-cbrt_binary64_1818`
33×	`cancel-sign-sub-inv_binary64_1749`
26×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-l_binary64_1724`
19×	`associate-r_binary64_1723`
14×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
13×	`pow1_binary64_1844` `swap-sqr_binary64_1750`
9×	`add-log-exp_binary64_1822` `div-inv_binary64_1780`
7×	`frac-sub_binary64_1792` `prod-exp_binary64_1832` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816`
6×	`frac-add_binary64_1791` `unswap-sqr_binary64_1751`
5×	`flip3--_binary64_1787` `frac-times_binary64_1793` `flip--_binary64_1758` `associate-*r/_binary64_1725`
4×	`associate-*l/_binary64_1726` `difference-of-squares_binary64_1752`
3×	`sub-neg_binary64_1776` `associate-/l*_binary64_1728`
2×	`diff-log_binary64_1875` `distribute-lft-out--_binary64_1735` `pow-prod-down_binary64_1854` `*-commutative_binary64_1714`
1×	`sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `sub-div_binary64_1790` `associate--l+_binary64_1720` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727` `pow2_binary64_1864` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `pow-sqr_binary64_1756`

Counts

4 → 186

Calls

4 calls:

14.0ms	(*.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))
13.0ms	(-.f64 (+.f64 (/.f64 2 alpha) (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))) (/.f64 4 (.f64 alpha alpha)))
11.0ms	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
5.0ms	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 7837 to 4169 computations (46.8% saved)

series839.0ms (8.7%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

442.0ms	(-.f64 (+.f64 (/.f64 2 alpha) (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))) (/.f64 4 (.f64 alpha alpha)))
174.0ms	(*.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))
143.0ms	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
40.0ms	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 2461 to 1726 computations (29.9% saved)

simplify175.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

410×	`associate-l_binary64_1724`
386×	`associate-r_binary64_1723`
322×	`associate-*l/_binary64_1726`
316×	`*-commutative_binary64_1714`
309×	`associate-*r/_binary64_1725`
204×	`exp-prod_binary64_1835`
189×	`associate-/l*_binary64_1728`
169×	`neg-sub0_binary64_1778`
153×	`neg-mul-1_binary64_1779`
126×	`distribute-rgt-in_binary64_1733`
120×	`distribute-lft-in_binary64_1732`
79×	`log-prod_binary64_1869`
77×	`distribute-rgt-neg-in_binary64_1741`
68×	`distribute-lft-neg-out_binary64_1742`
64×	`cancel-sign-sub-inv_binary64_1749` `+-commutative_binary64_1713`
60×	`sub-neg_binary64_1776`
56×	`associate-/r*_binary64_1727`
52×	`distribute-lft-neg-in_binary64_1740`
51×	`cube-prod_binary64_1811`
48×	`log-div_binary64_1870`
47×	`div-sub_binary64_1788`
46×	`associate-/l/_binary64_1730`
43×	`distribute-rgt-neg-out_binary64_1743`
39×	`unpow3_binary64_1849` `times-frac_binary64_1789`
36×	`distribute-neg-frac_binary64_1747`
31×	`cube-div_binary64_1812`
22×	`exp-sum_binary64_1829`
21×	`associate-+l+_binary64_1716`
20×	`sqr-pow_binary64_1755`
19×	`unsub-neg_binary64_1777`
16×	`unswap-sqr_binary64_1751`
15×	`swap-sqr_binary64_1750`
13×	`pow-plus_binary64_1846` `associate-+r+_binary64_1715`
12×	`associate-/r/_binary64_1729`
11×	`distribute-neg-in_binary64_1744` `associate--l+_binary64_1720` `associate-+r-_binary64_1717`
10×	`log-pow_binary64_1872` `exp-diff_binary64_1831` `cube-unmult_binary64_1820` `cube-mult_binary64_1813`
8×	`exp-lft-sqr_binary64_1838`
7×	`rem-sqrt-square_binary64_1796` `associate--r+_binary64_1719`
5×	`div-exp_binary64_1834` `rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `*-rgt-identity_binary64_1773` `distribute-rgt-out_binary64_1736` `associate-+l-_binary64_1718`
4×	`log-rec_binary64_1871` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `*-lft-identity_binary64_1772`
3×	`difference-of-squares_binary64_1752` `distribute-rgt-out--_binary64_1737` `count-2_binary64_1731`
2×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `prod-exp_binary64_1832` `rem-3cbrt-rft_binary64_1809`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `pow-sqr_binary64_1756` `distribute-rgt1-in_binary64_1739` `distribute-lft-out_binary64_1734` `associate--r-_binary64_1722`
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_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `rec-exp_binary64_1833` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `associate--l-_binary64_1721`

Counts

214 → 176

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	404	4647
1	1249	4260
2	4377	3988
3	4757	3946
4	4971	3946

prune328.0ms (3.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	175	5	180

Error

Counts

180 → 5

Compiler

Compiled 6504 to 3517 computations (45.9% saved)

regimes539.0ms (5.6%)

Accuracy

Total 0.1b remaining (64.9%)

Threshold costs 0.1b (64.9%)

Compiler

Compiled 5819 to 4324 computations (25.7% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64_1713`
8×	`sub-neg_binary64_1776`
7×	`*-commutative_binary64_1714`
5×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
2×	`distribute-neg-frac_binary64_1747`
1×	`1-exp_binary64_1827`
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_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `unpow1_binary64_1841` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `cancel-sign-sub-inv_binary64_1749` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742` `distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	86
1	48	86
2	62	86
3	72	86
4	79	86
5	81	86
6	80	86

end0.0ms (0%)

sample1.7s (17.6%)

Algorithm

1×

intervals

Results

198.0ms	5995×	body	128	valid
134.0ms	8000×	pre	128	true
121.0ms	1021×	body	1024	valid
54.0ms	568×	body	512	valid
20.0ms	330×	body	256	valid
13.0ms	86×	body	2048	valid

Compiler

Compiled 1157 to 856 computations (26% saved)

Details

analyze439.0ms (4.6%)

sample27.0ms (0.3%)

simplify240.0ms (2.5%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite128.0ms (1.3%)

series543.0ms (5.7%)

simplify117.0ms (1.2%)

prune132.0ms (1.4%)

localize17.0ms (0.2%)

rewrite587.0ms (6.1%)

series2.3s (24%)

simplify164.0ms (1.7%)

prune547.0ms (5.7%)

localize7.0ms (0.1%)

rewrite35.0ms (0.4%)

series137.0ms (1.4%)

simplify79.0ms (0.8%)

prune18.0ms (0.2%)

localize18.0ms (0.2%)

rewrite474.0ms (4.9%)

series839.0ms (8.7%)

simplify175.0ms (1.8%)

prune328.0ms (3.4%)

regimes539.0ms (5.6%)

bsearch3.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.7s (17.6%)

Profiling