Details

analyze419.0ms (1.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

1530×	`associate-/l*_binary64_1728`
822×	`distribute-rgt-in_binary64_1733`
784×	`+-commutative_binary64_1713`
782×	`distribute-lft-in_binary64_1732`
604×	`associate-/l/_binary64_1730`
560×	`associate-l_binary64_1724`
531×	`associate-+l+_binary64_1716` `associate-+r+_binary64_1715`
385×	`times-frac_binary64_1789`
364×	`associate-/r/_binary64_1729`
359×	`*-commutative_binary64_1714`
292×	`distribute-rgt-out_binary64_1736`
280×	`associate-*l/_binary64_1726`
217×	`associate-r_binary64_1723`
60×	`/-rgt-identity_binary64_1774` `associate-/r*_binary64_1727`
46×	`*-lft-identity_binary64_1772`
36×	`remove-double-div_binary64_1759`
35×	`sqr-pow_binary64_1755`
24×	`*-rgt-identity_binary64_1773`
19×	`distribute-rgt1-in_binary64_1739` `associate-*r/_binary64_1725`
15×	`distribute-lft-out_binary64_1734`
10×	`swap-sqr_binary64_1750`
6×	`distribute-lft1-in_binary64_1738`
4×	`cube-div_binary64_1812`
2×	`cube-prod_binary64_1811`
1×	`unpow3_binary64_1849` `1-exp_binary64_1827` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `swap-alpha-beta`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_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` `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-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` `div-sub_binary64_1788` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `sub-neg_binary64_1776` `mul-1-neg_binary64_1775` `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` `pow-sqr_binary64_1756` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `cancel-sign-sub-inv_binary64_1749` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `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` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Iterations

Useful iterations: 0 (0.0ms)

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

Search

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

Symmetry

(sort alpha beta)

Compiler

Compiled 42 to 29 computations (31% saved)

sample40.0ms (0.1%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify235.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1227×	`associate-/l*_binary64_1728`
689×	`distribute-rgt-in_binary64_1733`
661×	`distribute-lft-in_binary64_1732`
481×	`associate-/l/_binary64_1730`
450×	`associate-l_binary64_1724`
415×	`+-commutative_binary64_1713`
389×	`associate-+r+_binary64_1715`
388×	`associate-+l+_binary64_1716`
333×	`*-commutative_binary64_1714`
290×	`times-frac_binary64_1789`
288×	`associate-/r/_binary64_1729`
269×	`associate-*l/_binary64_1726`
244×	`associate-/r*_binary64_1727`
210×	`associate-r_binary64_1723`
144×	`distribute-rgt-out_binary64_1736`
60×	`/-rgt-identity_binary64_1774` `*-lft-identity_binary64_1772`
38×	`*-rgt-identity_binary64_1773`
36×	`remove-double-div_binary64_1759`
35×	`sqr-pow_binary64_1755`
27×	`associate-*r/_binary64_1725`
23×	`distribute-rgt1-in_binary64_1739`
16×	`distribute-lft-out_binary64_1734`
14×	`distribute-lft1-in_binary64_1738`
10×	`swap-sqr_binary64_1750`
4×	`cube-div_binary64_1812`
2×	`cube-prod_binary64_1811`
1×	`unpow3_binary64_1849` `1-exp_binary64_1827` `cube-unmult_binary64_1820` `cube-mult_binary64_1813`
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` `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-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` `div-sub_binary64_1788` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `sub-neg_binary64_1776` `mul-1-neg_binary64_1775` `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` `pow-sqr_binary64_1756` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `cancel-sign-sub-inv_binary64_1749` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `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` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

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

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.7b

Counts

2 → 2

Compiler

Compiled 85 to 60 computations (29.4% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.0b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
19.2b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite454.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

77×	`*-un-lft-identity_binary64_1783`
34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `distribute-lft-out_binary64_1734`
24×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
21×	`add-sqr-sqrt_binary64_1805` `associate-r_binary64_1723`
18×	`associate-/r/_binary64_1729`
16×	`frac-times_binary64_1793`
15×	`add-cube-cbrt_binary64_1818`
14×	`times-frac_binary64_1789`
13×	`pow1_binary64_1844`
11×	`swap-sqr_binary64_1750`
10×	`prod-exp_binary64_1832` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816` `associate-*l/_binary64_1726`
9×	`associate-l_binary64_1724`
8×	`associate-*r/_binary64_1725`
7×	`associate-/l/_binary64_1730`
6×	`associate-/r*_binary64_1727`
5×	`associate-/l*_binary64_1728`
4×	`add-log-exp_binary64_1822`
3×	`div-inv_binary64_1780` `unswap-sqr_binary64_1751`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `*-commutative_binary64_1714`
1×	`pow2_binary64_1864` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `pow-sqr_binary64_1756` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`

Counts

4 → 158

Calls

4 calls:

29.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
25.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
21.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
16.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 6017 to 3676 computations (38.9% saved)

series3.4s (11.1%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

1.5s	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
700.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
479.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
171.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 14724 to 11706 computations (20.5% saved)

simplify225.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

352×	`distribute-rgt-in_binary64_1733`
331×	`distribute-lft-in_binary64_1732`
327×	`+-commutative_binary64_1713`
260×	`associate-+r+_binary64_1715`
228×	`*-commutative_binary64_1714`
164×	`associate-*r/_binary64_1725`
135×	`sub-neg_binary64_1776`
112×	`associate-/r*_binary64_1727`
100×	`associate-/l*_binary64_1728`
90×	`distribute-neg-in_binary64_1744`
74×	`times-frac_binary64_1789`
68×	`cancel-sign-sub-inv_binary64_1749`
45×	`sqr-pow_binary64_1755` `unswap-sqr_binary64_1751`
39×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
30×	`associate--l+_binary64_1720`
28×	`associate--r+_binary64_1719`
21×	`associate-r_binary64_1723`
16×	`distribute-rgt-neg-in_binary64_1741` `associate-l_binary64_1724`
14×	`swap-sqr_binary64_1750`
11×	`cube-unmult_binary64_1820` `*-rgt-identity_binary64_1773` `distribute-rgt-out_binary64_1736`
8×	`log-div_binary64_1870` `unpow2_binary64_1848` `exp-prod_binary64_1835` `distribute-lft-neg-in_binary64_1740`
7×	`log-prod_binary64_1869`
6×	`unpow3_binary64_1849` `unpow1_binary64_1841` `exp-sum_binary64_1829` `cube-mult_binary64_1813` `distribute-neg-frac_binary64_1747`
5×	`*-lft-identity_binary64_1772` `associate-+r-_binary64_1717`
4×	`cube-prod_binary64_1811`
3×	`associate-/l/_binary64_1730`
2×	`rem-sqrt-square_binary64_1796` `/-rgt-identity_binary64_1774` `distribute-lft-neg-out_binary64_1742` `distribute-rgt1-in_binary64_1739` `distribute-lft-out_binary64_1734` `associate-*l/_binary64_1726`
1×	`1-exp_binary64_1827` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `div-sub_binary64_1788` `unsub-neg_binary64_1777` `pow-sqr_binary64_1756` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `count-2_binary64_1731` `associate-/r/_binary64_1729` `associate-+l+_binary64_1716`
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` `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-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `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-div_binary64_1812` `cube-neg_binary64_1810` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `mul-1-neg_binary64_1775` `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` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l-_binary64_1718`

Counts

230 → 210

Iterations

Useful iterations: 1 (0.0ms)

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

prune843.0ms (2.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	202	8	210
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	204	8	212

Error

0.0b

Counts

212 → 8

Compiler

Compiled 11573 to 7888 computations (31.8% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite571.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

192×	`*-un-lft-identity_binary64_1783`
89×	`times-frac_binary64_1789`
82×	`distribute-lft-out_binary64_1734`
60×	`add-sqr-sqrt_binary64_1805`
48×	`add-cube-cbrt_binary64_1818`
38×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
26×	`associate-l_binary64_1724` `associate-r_binary64_1723`
15×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r*_binary64_1727`
10×	`associate-/r/_binary64_1729`
9×	`associate-/l*_binary64_1728`
8×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
7×	`associate-/l/_binary64_1730` `flip3-+_binary64_1786` `flip-+_binary64_1757`
6×	`pow1_binary64_1844`
5×	`div-inv_binary64_1780`
4×	`add-log-exp_binary64_1822` `unswap-sqr_binary64_1751`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
2×	`frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`pow-prod-down_binary64_1854` `*-commutative_binary64_1714`

Counts

4 → 202

Calls

4 calls:

36.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
32.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
11.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 7414 to 4981 computations (32.8% saved)

series3.0s (9.8%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

1.5s	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
670.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
205.0ms	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))
166.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 14336 to 11243 computations (21.6% saved)

simplify241.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

366×	`distribute-rgt-in_binary64_1733`
343×	`distribute-lft-in_binary64_1732`
306×	`+-commutative_binary64_1713`
234×	`associate-+r+_binary64_1715`
220×	`*-commutative_binary64_1714`
172×	`sub-neg_binary64_1776`
168×	`associate-*r/_binary64_1725`
117×	`associate-/r*_binary64_1727`
112×	`distribute-neg-in_binary64_1744`
106×	`associate-/l*_binary64_1728`
79×	`times-frac_binary64_1789`
58×	`cancel-sign-sub-inv_binary64_1749`
49×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
47×	`sqr-pow_binary64_1755`
39×	`associate--l+_binary64_1720`
35×	`unswap-sqr_binary64_1751` `associate--r+_binary64_1719`
31×	`associate-*l/_binary64_1726`
16×	`swap-sqr_binary64_1750`
12×	`log-div_binary64_1870` `distribute-rgt-neg-in_binary64_1741` `associate-l_binary64_1724` `associate-r_binary64_1723`
11×	`distribute-neg-frac_binary64_1747`
9×	`cube-unmult_binary64_1820`
8×	`unpow2_binary64_1848` `/-rgt-identity_binary64_1774` `*-rgt-identity_binary64_1773`
7×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `*-lft-identity_binary64_1772`
6×	`unpow1_binary64_1841` `associate-/l/_binary64_1730`
5×	`distribute-lft-neg-in_binary64_1740` `associate-+r-_binary64_1717`
4×	`exp-prod_binary64_1835` `cube-prod_binary64_1811` `distribute-rgt-out_binary64_1736`
3×	`log-prod_binary64_1869` `unsub-neg_binary64_1777` `distribute-lft-neg-out_binary64_1742`
2×	`difference-of-squares_binary64_1752` `distribute-rgt-out--_binary64_1737` `associate-+l-_binary64_1718`
1×	`1-exp_binary64_1827` `div-sub_binary64_1788` `pow-sqr_binary64_1756` `distribute-rgt1-in_binary64_1739` `associate-/r/_binary64_1729` `associate-+l+_binary64_1716`
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` `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-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `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-div_binary64_1812` `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` `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-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721`

Counts

274 → 256

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	980	15393
1	3256	14138
2	5186	14138

prune998.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	254	2	256
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	255	9	264

Error

Counts

264 → 9

Compiler

Compiled 13138 to 9075 computations (30.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite1.4s (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

442×	`*-un-lft-identity_binary64_1783`
358×	`times-frac_binary64_1789`
184×	`add-sqr-sqrt_binary64_1805`
163×	`distribute-lft-out_binary64_1734`
151×	`add-cube-cbrt_binary64_1818`
123×	`add-exp-log_binary64_1821`
83×	`associate-l_binary64_1724`
65×	`div-exp_binary64_1834`
61×	`add-cbrt-cube_binary64_1819`
36×	`associate-/r*_binary64_1727`
29×	`cbrt-undiv_binary64_1817`
28×	`prod-exp_binary64_1832`
26×	`associate-r_binary64_1723`
22×	`associate-/r/_binary64_1729`
12×	`cbrt-unprod_binary64_1816` `div-inv_binary64_1780`
11×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
10×	`1-exp_binary64_1827` `rec-exp_binary64_1833` `unswap-sqr_binary64_1751`
8×	`associate-/l*_binary64_1728`
7×	`pow1_binary64_1844`
5×	`associate-/l/_binary64_1730`
4×	`add-log-exp_binary64_1822`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
2×	`frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857` `pow-prod-down_binary64_1854` `*-commutative_binary64_1714`

Counts

4 → 372

Calls

4 calls:

69.0ms	(*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
38.0ms	(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
16.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)))
11.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 15089 to 10747 computations (28.8% saved)

series3.0s (10.1%)

Error

Counts

4 → 72

Calls

4 calls:

1.5s	(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
692.0ms	(*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
208.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)))
186.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 14464 to 11345 computations (21.6% saved)

simplify516.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

378×	`distribute-rgt-in_binary64_1733`
306×	`+-commutative_binary64_1713`
240×	`*-commutative_binary64_1714`
233×	`associate-+r+_binary64_1715`
189×	`associate-*r/_binary64_1725`
183×	`sub-neg_binary64_1776`
122×	`associate-/l*_binary64_1728`
121×	`associate-/r*_binary64_1727`
103×	`distribute-neg-in_binary64_1744`
82×	`times-frac_binary64_1789`
54×	`cancel-sign-sub-inv_binary64_1749` `associate-*l/_binary64_1726`
49×	`neg-mul-1_binary64_1779` `associate--l+_binary64_1720`
48×	`neg-sub0_binary64_1778` `sqr-pow_binary64_1755`
41×	`associate-/r/_binary64_1729`
38×	`unswap-sqr_binary64_1751`
34×	`associate--r+_binary64_1719`
28×	`cube-prod_binary64_1811`
21×	`log-div_binary64_1870` `distribute-lft-in_binary64_1732`
20×	`*-lft-identity_binary64_1772`
19×	`unpow3_binary64_1849` `cube-mult_binary64_1813`
18×	`cube-div_binary64_1812` `swap-sqr_binary64_1750`
15×	`distribute-rgt-neg-in_binary64_1741`
14×	`associate-r_binary64_1723`
13×	`log-prod_binary64_1869` `cube-unmult_binary64_1820` `distribute-neg-frac_binary64_1747` `associate-l_binary64_1724`
10×	`/-rgt-identity_binary64_1774`
9×	`exp-prod_binary64_1835`
8×	`unpow2_binary64_1848` `div-sub_binary64_1788` `associate-/l/_binary64_1730` `associate-+l-_binary64_1718`
7×	`*-rgt-identity_binary64_1773` `distribute-lft-neg-in_binary64_1740` `associate-+r-_binary64_1717`
6×	`log-rec_binary64_1871` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `rem-sqrt-square_binary64_1796`
4×	`distribute-rgt-out_binary64_1736`
3×	`remove-double-div_binary64_1759`
2×	`exp-sum_binary64_1829` `distribute-lft-neg-out_binary64_1742` `associate--r-_binary64_1722` `associate-+l+_binary64_1716`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `unsub-neg_binary64_1777` `sub0-neg_binary64_1770` `pow-sqr_binary64_1756` `difference-of-squares_binary64_1752` `distribute-rgt1-in_binary64_1739` `distribute-rgt-out--_binary64_1737`
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` `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-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `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` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `remove-double-neg_binary64_1771` `--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` `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-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734` `count-2_binary64_1731` `associate--l-_binary64_1721`

Counts

444 → 416

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1090	21323
1	3522	19616
2	4962	19616
3	4949	19616
4	4943	19616

prune1.7s (5.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	416	0	416
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	416	9	425

Error

Counts

425 → 9

Compiler

Compiled 19610 to 13851 computations (29.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite1.9s (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

899×	`*-un-lft-identity_binary64_1783`
549×	`times-frac_binary64_1789`
405×	`distribute-lft-out_binary64_1734`
221×	`add-sqr-sqrt_binary64_1805`
200×	`add-cube-cbrt_binary64_1818`
136×	`associate-r_binary64_1723`
34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728`
32×	`associate-/r/_binary64_1729`
26×	`associate-l_binary64_1724`
18×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
16×	`div-inv_binary64_1780`
15×	`associate-/r*_binary64_1727`
14×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
6×	`pow1_binary64_1844` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751`
5×	`associate-/l/_binary64_1730`
4×	`add-log-exp_binary64_1822`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`pow-prod-down_binary64_1854` `frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `*-commutative_binary64_1714`

Counts

4 → 460

Calls

4 calls:

109.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 2) alpha)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 3) alpha)))
24.0ms	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 3) alpha))
16.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
11.0ms	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 2) alpha))

Compiler

Compiled 18398 to 13240 computations (28% saved)

series2.9s (9.6%)

Error

Counts

4 → 72

Calls

4 calls:

1.5s	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 2) alpha)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 3) alpha)))
621.0ms	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 3) alpha))
182.0ms	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 2) alpha))
174.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))

Compiler

Compiled 14216 to 11164 computations (21.5% saved)

simplify409.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

285×	`distribute-rgt-in_binary64_1733`
270×	`distribute-lft-in_binary64_1732` `+-commutative_binary64_1713`
253×	`*-commutative_binary64_1714`
199×	`associate-+r+_binary64_1715`
194×	`associate-*r/_binary64_1725`
170×	`sub-neg_binary64_1776`
143×	`associate-/r*_binary64_1727`
96×	`distribute-neg-in_binary64_1744`
91×	`associate-/l*_binary64_1728`
82×	`times-frac_binary64_1789`
68×	`cancel-sign-sub-inv_binary64_1749`
66×	`associate-*l/_binary64_1726`
62×	`associate-/l/_binary64_1730`
45×	`sqr-pow_binary64_1755`
44×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
40×	`unswap-sqr_binary64_1751`
35×	`associate--l+_binary64_1720`
34×	`associate--r+_binary64_1719`
20×	`/-rgt-identity_binary64_1774`
18×	`swap-sqr_binary64_1750`
17×	`associate-r_binary64_1723`
12×	`-lft-identity_binary64_1772` `associate-l*_binary64_1724`
11×	`log-div_binary64_1870`
10×	`associate-/r/_binary64_1729`
8×	`unpow2_binary64_1848` `cube-unmult_binary64_1820` `*-rgt-identity_binary64_1773`
7×	`div-sub_binary64_1788` `distribute-neg-frac_binary64_1747` `distribute-rgt-neg-in_binary64_1741`
6×	`unpow3_binary64_1849` `unpow1_binary64_1841` `cube-mult_binary64_1813` `associate-+r-_binary64_1717`
4×	`exp-prod_binary64_1835` `cube-prod_binary64_1811` `unsub-neg_binary64_1777` `distribute-rgt-out_binary64_1736`
3×	`log-prod_binary64_1869` `distribute-lft-neg-in_binary64_1740` `distribute-rgt-out--_binary64_1737` `associate-+l-_binary64_1718`
2×	`difference-of-squares_binary64_1752` `distribute-lft-neg-out_binary64_1742` `distribute-lft-out_binary64_1734` `associate-+l+_binary64_1716`
1×	`1-exp_binary64_1827` `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` `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-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `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-div_binary64_1812` `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` `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` `pow-sqr_binary64_1756` `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-rgt-neg-out_binary64_1743` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722`

Counts

532 → 514

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1039	25443
1	3434	24309
2	5137	24309

prune2.1s (7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	513	1	514
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	514	9	523

Error

Counts

523 → 9

Compiler

Compiled 23259 to 16469 computations (29.2% saved)

regimes1.3s (4.2%)

Accuracy

Total 0.1b remaining (94.7%)

Threshold costs 0.1b (94.7%)

Compiler

Compiled 16205 to 12548 computations (22.6% saved)

bsearch0.0ms (0%)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64_1713`
1×	`1-exp_binary64_1827` `*-commutative_binary64_1714`
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` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `sub-neg_binary64_1776` `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-neg-frac_binary64_1747` `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	18	37
1	29	37
2	28	37

Remove

(sort alpha beta)

Compiler

Compiled 50 to 38 computations (24% saved)

end0.0ms (0%)

sample4.7s (15.5%)

Algorithm

1×

intervals

Results

492.0ms	8000×	body	128	valid
149.0ms	8000×	pre	128	true

Compiler

Compiled 5444 to 4214 computations (22.6% saved)

Details

analyze419.0ms (1.4%)

sample40.0ms (0.1%)

simplify235.0ms (0.8%)

prune6.0ms (0%)

localize14.0ms (0%)

rewrite454.0ms (1.5%)

series3.4s (11.1%)

simplify225.0ms (0.7%)

prune843.0ms (2.8%)

localize15.0ms (0%)

rewrite571.0ms (1.9%)

series3.0s (9.8%)

simplify241.0ms (0.8%)

prune998.0ms (3.3%)

localize19.0ms (0.1%)

rewrite1.4s (4.5%)

series3.0s (10.1%)

simplify516.0ms (1.7%)

prune1.7s (5.5%)

localize17.0ms (0.1%)

rewrite1.9s (6.1%)

series2.9s (9.6%)

simplify409.0ms (1.4%)

prune2.1s (7%)

regimes1.3s (4.2%)

bsearch0.0ms (0%)

simplify11.0ms (0%)

end0.0ms (0%)

sample4.7s (15.5%)

Profiling