Details

analyze231.0ms (1%)

Algorithm

1×	search
2×	egg-herbie

Rules

915×	`distribute-rgt-in_binary64_1733`
897×	`distribute-lft-in_binary64_1732`
556×	`associate-/l/_binary64_1730`
241×	`times-frac_binary64_1789`
214×	`associate-l_binary64_1724`
202×	`associate-/l*_binary64_1728`
175×	`associate-r_binary64_1723`
94×	`associate-/r*_binary64_1727`
69×	`associate--l+_binary64_1720`
56×	`sub-neg_binary64_1776`
48×	`associate-/r/_binary64_1729`
39×	`div-sub_binary64_1788`
38×	`*-commutative_binary64_1714`
32×	`associate-+l+_binary64_1716`
30×	`associate-*l/_binary64_1726`
29×	`+-commutative_binary64_1713`
27×	`associate-*r/_binary64_1725`
24×	`swap-sqr_binary64_1750`
12×	`mul-1-neg_binary64_1775` `associate-+r+_binary64_1715`
7×	`difference-of-sqr-1_binary64_1753`
6×	`distribute-rgt-out_binary64_1736` `distribute-lft-out_binary64_1734`
3×	`cube-unmult_binary64_1820` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772`
1×	`1-exp_binary64_1827` `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` `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-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` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `/-rgt-identity_binary64_1774` `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` `sqr-pow_binary64_1755` `difference-of-sqr--1_binary64_1754` `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-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	316
1	180	316
2	812	316
3	4816	316
4	5646	316
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

Symmetry

(sort alpha beta)

Compiler

Compiled 63 to 34 computations (46% saved)

sample53.0ms (0.2%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 116 to 64 computations (44.8% saved)

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-+l+_binary64_1716`
492×	`associate-l_binary64_1724`
422×	`associate-r_binary64_1723`
369×	`times-frac_binary64_1789`
336×	`associate-/l*_binary64_1728`
252×	`distribute-rgt-in_binary64_1733`
250×	`distribute-lft-in_binary64_1732`
212×	`div-sub_binary64_1788`
171×	`associate-/r*_binary64_1727`
169×	`associate-/l/_binary64_1730`
153×	`associate-*l/_binary64_1726`
134×	`associate-*r/_binary64_1725`
95×	`associate-/r/_binary64_1729`
75×	`associate--l+_binary64_1720`
58×	`*-commutative_binary64_1714`
47×	`associate-+r+_binary64_1715`
32×	`distribute-rgt-out_binary64_1736`
28×	`+-commutative_binary64_1713`
15×	`sub-neg_binary64_1776` `distribute-lft-out_binary64_1734`
8×	`swap-sqr_binary64_1750`
4×	`mul-1-neg_binary64_1775` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`
2×	`cube-unmult_binary64_1820`
1×	`pow-plus_binary64_1846` `1-exp_binary64_1827` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753`
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` `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-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` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `/-rgt-identity_binary64_1774` `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` `sqr-pow_binary64_1755` `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-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--r+_binary64_1719`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	65	79
2	280	79
3	1518	79
4	4862	79
5	5395	79

prune5.0ms (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

55.3b

Counts

2 → 1

Compiler

Compiled 106 to 54 computations (49.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
35.5b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
47.5b	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

rewrite959.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

35.4b

Rules

86×	`times-frac_binary64_1789`
66×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/r/_binary64_1729`
61×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
46×	`add-sqr-sqrt_binary64_1805`
44×	`*-un-lft-identity_binary64_1783` `frac-times_binary64_1793`
34×	`associate-*r/_binary64_1725`
30×	`add-cube-cbrt_binary64_1818`
28×	`difference-of-squares_binary64_1752`
22×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*l/_binary64_1726`
19×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
16×	`pow1_binary64_1844`
14×	`associate-/l*_binary64_1728` `difference-of-sqr-1_binary64_1753`
9×	`div-inv_binary64_1780` `associate-/l/_binary64_1730`
7×	`associate-/r*_binary64_1727`
6×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `pow-prod-down_binary64_1854` `associate-l_binary64_1724`
3×	`swap-sqr_binary64_1750`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `*-commutative_binary64_1714`
1×	`flip3--_binary64_1787` `flip--_binary64_1758` `pow2_binary64_1864` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `pow-sqr_binary64_1756` `unswap-sqr_binary64_1751`

Counts

4 → 228

Calls

4 calls:

46.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
28.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
15.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
14.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))

Compiler

Compiled 19221 to 7168 computations (62.7% saved)

series15.1s (64.3%)

Error

11.4b

Counts

4 → 85

Calls

4 calls:

12.9s	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
754.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
671.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
333.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 23417 to 15699 computations (33% saved)

simplify384.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

502×	`distribute-rgt-in_binary64_1733`
473×	`distribute-lft-in_binary64_1732`
215×	`*-commutative_binary64_1714`
169×	`+-commutative_binary64_1713`
132×	`associate-/l*_binary64_1728`
120×	`associate-+r+_binary64_1715`
101×	`associate-/r*_binary64_1727`
95×	`sub-neg_binary64_1776`
80×	`times-frac_binary64_1789`
78×	`associate-r_binary64_1723`
75×	`associate-*r/_binary64_1725`
67×	`cancel-sign-sub-inv_binary64_1749`
61×	`sqr-pow_binary64_1755`
59×	`associate-/l/_binary64_1730`
56×	`unswap-sqr_binary64_1751`
45×	`div-sub_binary64_1788`
40×	`distribute-rgt-neg-in_binary64_1741` `associate-l_binary64_1724`
35×	`distribute-neg-in_binary64_1744`
31×	`distribute-lft-neg-in_binary64_1740`
27×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
24×	`swap-sqr_binary64_1750`
22×	`distribute-rgt-out_binary64_1736`
16×	`associate--l+_binary64_1720`
14×	`/-rgt-identity_binary64_1774`
13×	`exp-prod_binary64_1835` `cube-prod_binary64_1811`
12×	`log-prod_binary64_1869`
11×	`unpow3_binary64_1849` `distribute-lft-out_binary64_1734`
10×	`associate--r+_binary64_1719`
9×	`log-div_binary64_1870` `cube-mult_binary64_1813`
8×	`unpow2_binary64_1848` `unpow1_binary64_1841`
7×	`cube-unmult_binary64_1820` `distribute-lft-neg-out_binary64_1742`
6×	`exp-sum_binary64_1829` `*-lft-identity_binary64_1772` `distribute-neg-frac_binary64_1747`
5×	`distribute-rgt-out--_binary64_1737`
4×	`associate-+l+_binary64_1716`
3×	`*-rgt-identity_binary64_1773` `difference-of-sqr--1_binary64_1754` `difference-of-squares_binary64_1752` `associate-/r/_binary64_1729` `associate-+r-_binary64_1717`
2×	`pow-plus_binary64_1846` `rem-sqrt-square_binary64_1796` `difference-of-sqr-1_binary64_1753` `associate-*l/_binary64_1726` `associate--l-_binary64_1721`
1×	`1-exp_binary64_1827` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `distribute-rgt1-in_binary64_1739` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731`
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` `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` `unsub-neg_binary64_1777` `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` `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` `associate--r-_binary64_1722` `associate-+l-_binary64_1718`

Counts

313 → 294

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	812	26550
1	2771	24543
2	5560	24543

prune1.2s (5.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	288	6	294
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	289	6	295

Error

12.8b

Counts

295 → 6

Compiler

Compiled 22967 to 10142 computations (55.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
0.7b	(/.f64 1/64 (*.f64 i i))
1.5b	(/.f64 (.f64 alpha alpha) (.f64 i i))
18.0b	(/.f64 (.f64 beta beta) (.f64 i i))

rewrite145.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

33×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
9×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
8×	`*-un-lft-identity_binary64_1783`
6×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
5×	`times-frac_binary64_1789` `div-inv_binary64_1780` `associate-/l*_binary64_1728`
4×	`pow1_binary64_1844`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727`
1×	`sum-log_binary64_1874` `frac-add_binary64_1791` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-rgt-out_binary64_1736` `distribute-lft-out_binary64_1734` `+-commutative_binary64_1713`

Counts

4 → 77

Calls

4 calls:

10.0ms	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
7.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
6.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
5.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 2511 to 823 computations (67.2% saved)

series496.0ms (2.1%)

Error

7.9b

Counts

4 → 24

Calls

4 calls:

171.0ms	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
133.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
128.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
35.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 1668 to 1215 computations (27.2% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-/l*_binary64_1728`
682×	`associate-*l/_binary64_1726`
488×	`associate-*r/_binary64_1725`
422×	`associate-/r*_binary64_1727`
291×	`unswap-sqr_binary64_1751`
244×	`associate-/l/_binary64_1730`
203×	`times-frac_binary64_1789`
202×	`associate-/r/_binary64_1729`
75×	`distribute-rgt-in_binary64_1733`
74×	`cancel-sign-sub-inv_binary64_1749`
71×	`log-div_binary64_1870`
70×	`sub-neg_binary64_1776`
68×	`sqr-pow_binary64_1755`
62×	`distribute-lft-in_binary64_1732`
60×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `associate-l_binary64_1724`
51×	`distribute-rgt-neg-in_binary64_1741`
50×	`distribute-neg-frac_binary64_1747`
49×	`cube-div_binary64_1812`
45×	`distribute-lft-neg-in_binary64_1740`
40×	`unpow3_binary64_1849`
37×	`associate-r_binary64_1723`
34×	`*-commutative_binary64_1714`
30×	`div-sub_binary64_1788`
25×	`log-prod_binary64_1869`
17×	`distribute-rgt-out_binary64_1736`
16×	`cube-prod_binary64_1811`
15×	`+-commutative_binary64_1713`
13×	`pow-sqr_binary64_1756`
12×	`distribute-lft-out_binary64_1734`
11×	`pow-plus_binary64_1846` `distribute-lft-neg-out_binary64_1742`
9×	`log-pow_binary64_1872` `cube-mult_binary64_1813` `swap-sqr_binary64_1750`
8×	`unsub-neg_binary64_1777` `distribute-rgt-out--_binary64_1737`
7×	`difference-of-squares_binary64_1752`
6×	`distribute-lft-out--_binary64_1735`
5×	`cube-unmult_binary64_1820` `rem-sqrt-square_binary64_1796` `associate--r+_binary64_1719`
4×	`exp-prod_binary64_1835` `associate--l+_binary64_1720`
3×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `div0_binary64_1764` `count-2_binary64_1731`
1×	`prod-exp_binary64_1832` `1-exp_binary64_1827` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717` `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-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-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-square-sqrt_binary64_1795` `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` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `*-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-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+r+_binary64_1715`

Counts

101 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1470
1	335	1295
2	1202	1191
3	4273	1179
4	4962	1179
5	4979	1179

prune101.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	71	7	78

Error

7.8b

Counts

78 → 7

Compiler

Compiled 2068 to 840 computations (59.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1/64 (*.f64 i i))
1.5b	(/.f64 (.f64 alpha alpha) (.f64 i i))

rewrite66.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

19×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
5×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `times-frac_binary64_1789` `-un-lft-identity_binary64_1783` `associate-/l_binary64_1728`
2×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

2 → 42

Calls

2 calls:

6.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
5.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 967 to 439 computations (54.6% saved)

series181.0ms (0.8%)

Error

7.8b

Counts

2 → 9

Calls

2 calls:

131.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
41.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 459 to 387 computations (15.7% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64_1789`
386×	`cancel-sign-sub-inv_binary64_1749`
360×	`associate-/l*_binary64_1728`
326×	`unswap-sqr_binary64_1751`
279×	`sub-neg_binary64_1776`
270×	`*-commutative_binary64_1714`
230×	`associate-*l/_binary64_1726`
201×	`associate-/r*_binary64_1727`
169×	`sqr-pow_binary64_1755`
145×	`associate-*r/_binary64_1725`
124×	`associate-/l/_binary64_1730`
109×	`log-prod_binary64_1869`
105×	`associate-l_binary64_1724`
102×	`associate--r+_binary64_1719`
97×	`associate--l+_binary64_1720`
96×	`associate-+l+_binary64_1716`
83×	`associate-r_binary64_1723`
81×	`associate-/r/_binary64_1729`
72×	`div-sub_binary64_1788`
70×	`cube-prod_binary64_1811`
64×	`associate-+r+_binary64_1715`
56×	`distribute-rgt-in_binary64_1733`
54×	`neg-mul-1_binary64_1779`
53×	`unsub-neg_binary64_1777` `pow-sqr_binary64_1756` `associate-+l-_binary64_1718`
50×	`neg-sub0_binary64_1778`
45×	`unpow3_binary64_1849`
43×	`log-div_binary64_1870`
40×	`distribute-lft-in_binary64_1732`
39×	`distribute-neg-in_binary64_1744`
34×	`log-pow_binary64_1872` `cube-mult_binary64_1813` `associate--r-_binary64_1722`
33×	`cube-div_binary64_1812`
31×	`swap-sqr_binary64_1750` `associate--l-_binary64_1721`
30×	`distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`
28×	`+-commutative_binary64_1713`
25×	`pow-plus_binary64_1846`
23×	`associate-+r-_binary64_1717`
21×	`exp-prod_binary64_1835`
16×	`cube-unmult_binary64_1820` `+-rgt-identity_binary64_1768`
15×	`distribute-lft-out--_binary64_1735`
13×	`*-rgt-identity_binary64_1773` `sub0-neg_binary64_1770`
12×	`*-lft-identity_binary64_1772`
9×	`--rgt-identity_binary64_1769`
8×	`count-2_binary64_1731`
7×	`remove-double-neg_binary64_1771` `distribute-rgt-out_binary64_1736`
6×	`distribute-lft-out_binary64_1734`
5×	`rem-sqrt-square_binary64_1796`
4×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `distribute-rgt-out--_binary64_1737`
3×	`unpow2_binary64_1848` `+-lft-identity_binary64_1767` `distribute-lft-neg-out_binary64_1742`
2×	`unpow1/2_binary64_1847` `unpow1_binary64_1841` `distribute-rgt-neg-out_binary64_1743`
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-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` `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-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `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` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738`

Counts

51 → 35

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	80	675
1	167	508
2	512	474
3	2034	459
4	2922	459
5	4037	429
6	4977	429
7	4934	429

prune49.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	35	7	42

Error

7.8b

Counts

42 → 7

Compiler

Compiled 831 to 495 computations (40.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(pow.f64 (/.f64 alpha i) 2)
0.7b	(/.f64 1/64 (*.f64 i i))

rewrite71.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

13×	`unpow-prod-down_binary64_1862`
12×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `times-frac_binary64_1789` `*-un-lft-identity_binary64_1783`
10×	`add-exp-log_binary64_1821`
7×	`add-cbrt-cube_binary64_1819`
3×	`pow1_binary64_1844` `div-exp_binary64_1834` `associate-/l*_binary64_1728` `pow-unpow_binary64_1860`
2×	`add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `pow-exp_binary64_1851`
1×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `unpow2_binary64_1848` `sqr-pow_binary64_1755`

Counts

2 → 50

Calls

2 calls:

5.0ms	(/.f64 1/64 (*.f64 i i))
5.0ms	(pow.f64 (/.f64 alpha i) 2)

Compiler

Compiled 1062 to 670 computations (36.9% saved)

series144.0ms (0.6%)

Error

7.8b

Counts

2 → 9

Calls

2 calls:

102.0ms	(pow.f64 (/.f64 alpha i) 2)
33.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 441 to 392 computations (11.1% saved)

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

653×	`associate-/l/_binary64_1730`
335×	`*-commutative_binary64_1714`
306×	`sqr-pow_binary64_1755`
276×	`log-div_binary64_1870`
256×	`log-prod_binary64_1869`
254×	`cube-prod_binary64_1811`
250×	`associate-/r/_binary64_1729`
150×	`cube-div_binary64_1812`
143×	`associate-*l/_binary64_1726`
136×	`exp-prod_binary64_1835`
130×	`associate-l_binary64_1724`
115×	`log-pow_binary64_1872` `associate-r_binary64_1723`
111×	`associate-*r/_binary64_1725`
102×	`associate-/l*_binary64_1728`
98×	`sub-neg_binary64_1776`
83×	`associate-/r*_binary64_1727`
69×	`pow-plus_binary64_1846` `pow-sqr_binary64_1756`
68×	`swap-sqr_binary64_1750`
62×	`times-frac_binary64_1789`
59×	`unswap-sqr_binary64_1751`
53×	`unpow3_binary64_1849`
49×	`cube-mult_binary64_1813`
46×	`rem-sqrt-square_binary64_1796`
38×	`*-lft-identity_binary64_1772`
33×	`cube-unmult_binary64_1820`
31×	`distribute-rgt-in_binary64_1733`
27×	`associate-+l+_binary64_1716`
26×	`*-rgt-identity_binary64_1773` `associate-+l-_binary64_1718`
22×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `associate-+r+_binary64_1715`
21×	`distribute-lft-in_binary64_1732`
18×	`unsub-neg_binary64_1777`
16×	`neg-mul-1_binary64_1779`
14×	`neg-sub0_binary64_1778` `cancel-sign-sub-inv_binary64_1749` `associate-+r-_binary64_1717`
12×	`/-rgt-identity_binary64_1774` `sub0-neg_binary64_1770`
11×	`associate--r+_binary64_1719`
10×	`+-commutative_binary64_1713`
9×	`+-rgt-identity_binary64_1768` `distribute-rgt-neg-in_binary64_1741`
8×	`distribute-lft-neg-in_binary64_1740`
7×	`log-rec_binary64_1871` `distribute-lft-out_binary64_1734`
6×	`associate--l+_binary64_1720`
4×	`distribute-rgt-out_binary64_1736` `count-2_binary64_1731` `associate--r-_binary64_1722`
3×	`rem-3cbrt-rft_binary64_1809` `--rgt-identity_binary64_1769` `distribute-lft-neg-out_binary64_1742`
2×	`rem-square-sqrt_binary64_1795` `remove-double-neg_binary64_1771` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `distribute-neg-in_binary64_1744` `distribute-lft-out--_binary64_1735` `associate--l-_binary64_1721`
1×	`1-exp_binary64_1827` `rem-3cbrt-lft_binary64_1808` `distribute-rgt-neg-out_binary64_1743`
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-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-neg_binary64_1810` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `div-sub_binary64_1788` `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` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737`

Counts

59 → 42

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	719
1	243	592
2	519	567
3	1618	562
4	3389	552
5	4855	552
6	5015	552

prune43.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Error

7.8b

Counts

49 → 7

Compiler

Compiled 741 to 446 computations (39.8% saved)

regimes990.0ms (4.2%)

Accuracy

Total 3.0b remaining (26.8%)

Threshold costs 0b (0%)

Compiler

Compiled 12204 to 7105 computations (41.8% saved)

bsearch39.0ms (0.2%)

Steps

Iters	Range		Point
6	3.1470165812222445e+125	3.0391011564441333e+126	2.832039852870352e+126

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64_1713`
5×	`*-commutative_binary64_1714`
2×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `sub-neg_binary64_1776` `*-rgt-identity_binary64_1773`
1×	`1-exp_binary64_1827` `unsub-neg_binary64_1777` `distribute-rgt-neg-out_binary64_1743`
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` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `*-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-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	25	89
1	38	89
2	42	89
3	44	89
4	47	89
5	46	89
6	44	89

Remove

(sort alpha beta)

Compiler

Compiled 120 to 66 computations (45% saved)

end0.0ms (0%)

sample2.8s (12.2%)

Algorithm

1×

intervals

Results

629.0ms	8000×	body	128	valid
177.0ms	8000×	pre	128	true

Compiler

Compiled 3106 to 1807 computations (41.8% saved)

Details

analyze231.0ms (1%)

sample53.0ms (0.2%)

simplify46.0ms (0.2%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite959.0ms (4.1%)

series15.1s (64.3%)

simplify384.0ms (1.6%)

prune1.2s (5.1%)

localize13.0ms (0.1%)

rewrite145.0ms (0.6%)

series496.0ms (2.1%)

simplify94.0ms (0.4%)

prune101.0ms (0.4%)

localize9.0ms (0%)

rewrite66.0ms (0.3%)

series181.0ms (0.8%)

simplify93.0ms (0.4%)

prune49.0ms (0.2%)

localize9.0ms (0%)

rewrite71.0ms (0.3%)

series144.0ms (0.6%)

simplify85.0ms (0.4%)

prune43.0ms (0.2%)

regimes990.0ms (4.2%)

bsearch39.0ms (0.2%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample2.8s (12.2%)

Profiling