Details

analyze165.0ms (2.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

8×	`*-commutative_binary64_1714`
4×	`associate-/r/_binary64_1729` `associate-/l*_binary64_1728`
2×	`+-commutative_binary64_1713`
1×	`1-exp_binary64_1827`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-prod_binary64_1835` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `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` `/-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` `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-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `swap-sqr_binary64_1750` `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-rgt-out_binary64_1736` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `count-2_binary64_1731` `associate-/l/_binary64_1730` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `associate-l_binary64_1724` `associate-r_binary64_1723` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717` `associate-+l+_binary64_1716` `associate-+r+_binary64_1715`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	28	34
2	36	34
3	42	34
4	44	34
5	43	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample61.0ms (0.8%)

Algorithm

1×

intervals

Results

23.0ms	68×	body	1024	valid
9.0ms	129×	body	128	valid
7.0ms	35×	body	512	valid
4.0ms	256×	pre	128	true
3.0ms	24×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_1714`
2×	`associate-/r/_binary64_1729` `associate-/l*_binary64_1728`
1×	`1-exp_binary64_1827` `+-commutative_binary64_1713`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-prod_binary64_1835` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `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` `/-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` `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-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `swap-sqr_binary64_1750` `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-rgt-out_binary64_1736` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `count-2_binary64_1731` `associate-/l/_binary64_1730` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `associate-l_binary64_1724` `associate-r_binary64_1723` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717` `associate-+l+_binary64_1716` `associate-+r+_binary64_1715`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	17	17
2	21	17
3	24	17
4	25	17
5	24	17

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

1 → 1

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sin.f64 v)
0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.2b	(*.f64 e (cos.f64 v))

rewrite91.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_1805`
13×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`pow1_binary64_1844`
6×	`associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822`
3×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `times-frac_binary64_1789` `associate-/r*_binary64_1727`
2×	`pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r/_binary64_1729`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l*_binary64_1728`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
5.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))
1.0ms	(sin.f64 v)

Compiler

Compiled 1173 to 426 computations (63.7% saved)

series509.0ms (6.8%)

Error

0.1b

Counts

4 → 34

Calls

4 calls:

244.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
105.0ms	(*.f64 e (cos.f64 v))
100.0ms	(*.f64 e (sin.f64 v))
19.0ms	(sin.f64 v)

Compiler

Compiled 1596 to 1099 computations (31.1% saved)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

529×	`associate-/r*_binary64_1727`
309×	`cancel-sign-sub-inv_binary64_1749`
303×	`associate-/r/_binary64_1729`
289×	`associate-/l/_binary64_1730`
166×	`sub-neg_binary64_1776`
164×	`associate-r_binary64_1723`
153×	`associate-l_binary64_1724`
152×	`distribute-rgt-neg-in_binary64_1741`
135×	`associate-/l*_binary64_1728`
132×	`unswap-sqr_binary64_1751`
131×	`distribute-lft-neg-in_binary64_1740`
124×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
91×	`*-commutative_binary64_1714`
82×	`times-frac_binary64_1789` `distribute-rgt-in_binary64_1733`
60×	`+-commutative_binary64_1713`
57×	`log-div_binary64_1870`
56×	`distribute-lft-in_binary64_1732`
54×	`log-prod_binary64_1869`
52×	`associate-*l/_binary64_1726`
49×	`sqr-pow_binary64_1755`
48×	`cube-prod_binary64_1811`
42×	`unsub-neg_binary64_1777` `distribute-neg-frac_binary64_1747`
41×	`cube-div_binary64_1812` `associate-*r/_binary64_1725`
40×	`associate--l+_binary64_1720`
36×	`div-sub_binary64_1788`
34×	`unpow3_binary64_1849`
33×	`*-rgt-identity_binary64_1773` `associate-+l+_binary64_1716` `associate-+r+_binary64_1715`
32×	`exp-prod_binary64_1835`
28×	`distribute-neg-in_binary64_1744`
26×	`associate--r+_binary64_1719`
24×	`*-lft-identity_binary64_1772`
23×	`distribute-rgt-out_binary64_1736`
20×	`distribute-rgt-out--_binary64_1737`
16×	`/-rgt-identity_binary64_1774` `distribute-lft-out--_binary64_1735`
14×	`distribute-lft-neg-out_binary64_1742`
13×	`log-rec_binary64_1871` `cube-mult_binary64_1813`
10×	`distribute-lft-out_binary64_1734`
9×	`swap-sqr_binary64_1750`
8×	`cube-unmult_binary64_1820`
6×	`log-pow_binary64_1872`
5×	`unpow1/2_binary64_1847` `rem-sqrt-square_binary64_1796`
4×	`unpow2_binary64_1848` `pow-plus_binary64_1846` `unpow1_binary64_1841` `distribute-rgt1-in_binary64_1739`
2×	`pow-sqr_binary64_1756`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `distribute-lft1-in_binary64_1738`
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-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` `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` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

100 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1769
1	540	1609
2	2050	1584
3	4528	1584
4	4965	1584
5	4960	1584

prune71.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	39	7	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	7	47

Error

0.0b

Counts

47 → 7

Compiler

Compiled 1154 to 621 computations (46.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 e (cos.f64 v))

rewrite147.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_1805`
12×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-l_binary64_1724` `associate-r*_binary64_1723`
4×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`

Counts

4 → 72

Calls

4 calls:

5.0ms	(*.f64 e (cos.f64 v))
5.0ms	(*.f64 e (cos.f64 v))
5.0ms	(*.f64 e (cos.f64 v))
5.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2820 to 1061 computations (62.4% saved)

series430.0ms (5.7%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

105.0ms	(*.f64 e (cos.f64 v))
102.0ms	(*.f64 e (cos.f64 v))
97.0ms	(*.f64 e (cos.f64 v))
94.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2530 to 1356 computations (46.4% saved)

simplify121.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

388×	`unswap-sqr_binary64_1751`
260×	`associate-/l*_binary64_1728`
254×	`associate-l_binary64_1724`
244×	`*-commutative_binary64_1714`
235×	`associate-*l/_binary64_1726`
198×	`associate-*r/_binary64_1725`
197×	`distribute-rgt-neg-in_binary64_1741`
193×	`log-div_binary64_1870` `associate-+l+_binary64_1716`
187×	`associate-r_binary64_1723`
185×	`distribute-lft-neg-in_binary64_1740`
179×	`distribute-rgt-in_binary64_1733`
174×	`cancel-sign-sub-inv_binary64_1749`
160×	`log-prod_binary64_1869`
153×	`div-sub_binary64_1788`
140×	`neg-mul-1_binary64_1779`
137×	`neg-sub0_binary64_1778`
136×	`sqr-pow_binary64_1755`
107×	`associate-/l/_binary64_1730`
106×	`distribute-lft-in_binary64_1732`
92×	`cube-div_binary64_1812`
90×	`sub-neg_binary64_1776`
74×	`associate-/r/_binary64_1729`
73×	`associate-+r+_binary64_1715`
57×	`unsub-neg_binary64_1777`
55×	`cube-prod_binary64_1811`
52×	`distribute-rgt-neg-out_binary64_1743`
47×	`pow-sqr_binary64_1756`
42×	`exp-prod_binary64_1835` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
41×	`distribute-lft-neg-out_binary64_1742`
36×	`remove-double-neg_binary64_1771` `associate-/r*_binary64_1727`
31×	`*-lft-identity_binary64_1772`
28×	`*-rgt-identity_binary64_1773`
26×	`distribute-rgt-out_binary64_1736` `+-commutative_binary64_1713`
23×	`exp-sqrt_binary64_1836` `distribute-lft-out_binary64_1734` `associate--r+_binary64_1719`
20×	`rem-sqrt-square_binary64_1796`
19×	`associate-+l-_binary64_1718`
16×	`times-frac_binary64_1789`
14×	`log-rec_binary64_1871`
13×	`pow-plus_binary64_1846` `cube-unmult_binary64_1820` `distribute-neg-in_binary64_1744`
12×	`exp-sum_binary64_1829`
10×	`distribute-neg-frac_binary64_1747` `distribute-rgt-out--_binary64_1737`
9×	`unpow3_binary64_1849`
8×	`exp-lft-sqr_binary64_1838` `cube-mult_binary64_1813` `sqr-neg_binary64_1797` `swap-sqr_binary64_1750` `distribute-rgt1-in_binary64_1739`
7×	`cube-neg_binary64_1810`
6×	`exp-diff_binary64_1831` `sub0-neg_binary64_1770`
5×	`distribute-frac-neg_binary64_1746` `distribute-lft1-in_binary64_1738`
4×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `exp-neg_binary64_1830` `--rgt-identity_binary64_1769`
2×	`unpow1_binary64_1841` `prod-exp_binary64_1832` `+-lft-identity_binary64_1767` `div0_binary64_1764` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l+_binary64_1720` `associate-+r-_binary64_1717`
1×	`cos-neg_binary64_1914` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `/-rgt-identity_binary64_1774` `+-rgt-identity_binary64_1768` `distribute-lft-out--_binary64_1735`
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` `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` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `div-exp_binary64_1834` `rec-exp_binary64_1833` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `*-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-out_binary64_1745` `associate--l-_binary64_1721`

Counts

97 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	865
1	81	761
2	215	761
3	400	761
4	829	761
5	1272	761
6	1857	761
7	3649	761
8	4858	761
9	4834	761

prune49.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	25	7	32

Error

0.0b

Counts

32 → 7

Compiler

Compiled 1040 to 455 computations (56.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sin.f64 v)
0.2b	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
0.2b	(*.f64 e (cos.f64 v))
0.2b	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

rewrite184.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`times-frac_binary64_1789`
58×	`add-sqr-sqrt_binary64_1805`
56×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
16×	`associate-/r*_binary64_1727`
13×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`pow1_binary64_1844` `div-inv_binary64_1780` `associate-/l*_binary64_1728`
4×	`div-exp_binary64_1834` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817`
3×	`associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730`
1×	`associate-/r/_binary64_1729` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

4 → 124

Calls

4 calls:

9.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
7.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
1.0ms	(sin.f64 v)

Compiler

Compiled 2798 to 1158 computations (58.6% saved)

series660.0ms (8.8%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

253.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
242.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
104.0ms	(*.f64 e (cos.f64 v))
18.0ms	(sin.f64 v)

Compiler

Compiled 1707 to 1178 computations (31% saved)

simplify163.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

690×	`associate-/r/_binary64_1729`
390×	`cancel-sign-sub-inv_binary64_1749`
174×	`associate-r_binary64_1723`
164×	`associate-/l*_binary64_1728`
159×	`distribute-rgt-neg-in_binary64_1741`
152×	`*-commutative_binary64_1714`
148×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
141×	`associate-l_binary64_1724`
137×	`sub-neg_binary64_1776` `distribute-lft-neg-in_binary64_1740`
129×	`unswap-sqr_binary64_1751`
121×	`associate-*l/_binary64_1726`
120×	`distribute-rgt-in_binary64_1733`
115×	`associate-/l/_binary64_1730`
88×	`distribute-lft-in_binary64_1732`
85×	`times-frac_binary64_1789`
84×	`+-commutative_binary64_1713`
73×	`associate-*r/_binary64_1725`
68×	`associate-/r*_binary64_1727`
56×	`associate-+l+_binary64_1716`
55×	`associate--l+_binary64_1720`
54×	`associate-+r+_binary64_1715`
52×	`*-rgt-identity_binary64_1773`
48×	`log-prod_binary64_1869`
47×	`sqr-pow_binary64_1755`
45×	`cube-prod_binary64_1811`
41×	`distribute-neg-frac_binary64_1747`
39×	`distribute-neg-in_binary64_1744`
36×	`associate--r+_binary64_1719`
35×	`/-rgt-identity_binary64_1774` `distribute-rgt-out_binary64_1736`
33×	`log-div_binary64_1870`
30×	`unsub-neg_binary64_1777`
29×	`exp-prod_binary64_1835`
24×	`cube-div_binary64_1812`
23×	`distribute-rgt-out--_binary64_1737`
20×	`*-lft-identity_binary64_1772`
18×	`distribute-lft-out_binary64_1734`
15×	`distribute-lft-out--_binary64_1735`
14×	`unpow3_binary64_1849` `distribute-lft-neg-out_binary64_1742`
13×	`div-sub_binary64_1788` `swap-sqr_binary64_1750`
10×	`cube-mult_binary64_1813`
9×	`cube-unmult_binary64_1820`
6×	`log-rec_binary64_1871` `unpow1/2_binary64_1847` `distribute-rgt1-in_binary64_1739`
5×	`rem-sqrt-square_binary64_1796`
4×	`log-pow_binary64_1872` `unpow2_binary64_1848` `pow-plus_binary64_1846` `unpow1_binary64_1841`
3×	`remove-double-div_binary64_1759`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `remove-double-neg_binary64_1771` `div0_binary64_1764` `pow-sqr_binary64_1756` `distribute-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `associate--r-_binary64_1722` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`
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-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` `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` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `count-2_binary64_1731` `associate--l-_binary64_1721`

Counts

161 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	4252
1	787	4021
2	2849	3981
3	4734	3981
4	4994	3981

prune162.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Error

0.0b

Counts

129 → 8

Compiler

Compiled 2929 to 1303 computations (55.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.2b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 (sin.f64 v) (sqrt.f64 e))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))

rewrite130.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
19×	`add-sqr-sqrt_binary64_1805`
13×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`associate-l_binary64_1724`
10×	`associate-r_binary64_1723`
8×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
7×	`sqrt-prod_binary64_1799`
5×	`pow-prod-down_binary64_1854`
4×	`add-log-exp_binary64_1822`
3×	`-commutative_binary64_1714` `unswap-sqr_binary64_1751` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `times-frac_binary64_1789` `associate-/r_binary64_1727`
2×	`associate-/r/_binary64_1729`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l*_binary64_1728`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
8.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
6.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1959 to 554 computations (71.7% saved)

series593.0ms (7.9%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

257.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
102.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
99.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
95.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1986 to 1310 computations (34% saved)

simplify161.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

366×	`associate-/r/_binary64_1729`
354×	`cancel-sign-sub-inv_binary64_1749`
268×	`associate-/l/_binary64_1730` `associate-r_binary64_1723`
242×	`associate-l_binary64_1724`
206×	`distribute-rgt-neg-in_binary64_1741`
179×	`distribute-lft-neg-in_binary64_1740`
163×	`unswap-sqr_binary64_1751`
159×	`associate-/l*_binary64_1728`
140×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
129×	`*-commutative_binary64_1714`
117×	`times-frac_binary64_1789`
105×	`sub-neg_binary64_1776`
83×	`associate-/r*_binary64_1727`
80×	`distribute-rgt-in_binary64_1733`
72×	`log-prod_binary64_1869`
62×	`+-commutative_binary64_1713`
59×	`sqr-pow_binary64_1755`
58×	`log-div_binary64_1870`
56×	`cube-prod_binary64_1811` `distribute-lft-in_binary64_1732`
54×	`exp-prod_binary64_1835`
52×	`associate-*l/_binary64_1726`
50×	`associate-*r/_binary64_1725`
44×	`cube-div_binary64_1812`
43×	`associate--l+_binary64_1720`
39×	`distribute-rgt-out_binary64_1736`
38×	`distribute-neg-frac_binary64_1747`
37×	`unpow3_binary64_1849` `*-rgt-identity_binary64_1773`
35×	`associate-+l+_binary64_1716` `associate-+r+_binary64_1715`
31×	`distribute-rgt-out--_binary64_1737`
29×	`div-sub_binary64_1788`
28×	`distribute-neg-in_binary64_1744`
26×	`*-lft-identity_binary64_1772` `associate--r+_binary64_1719`
24×	`distribute-lft-out--_binary64_1735`
23×	`unsub-neg_binary64_1777`
20×	`distribute-lft-out_binary64_1734`
18×	`swap-sqr_binary64_1750`
17×	`cube-mult_binary64_1813`
16×	`/-rgt-identity_binary64_1774` `distribute-lft-neg-out_binary64_1742`
9×	`cube-unmult_binary64_1820`
8×	`log-rec_binary64_1871` `rem-sqrt-square_binary64_1796`
7×	`unpow1/2_binary64_1847`
6×	`log-pow_binary64_1872` `pow-plus_binary64_1846`
5×	`unpow2_binary64_1848` `unpow1_binary64_1841`
4×	`pow-sqr_binary64_1756`
3×	`distribute-rgt1-in_binary64_1739`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-square-sqrt_binary64_1795` `distribute-lft1-in_binary64_1738` `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` `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-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` `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` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

123 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	2508
1	647	2007
2	2479	1962
3	4609	1962
4	4982	1962
5	4999	1962
6	4981	1962

prune82.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	76	9	85

Error

Counts

85 → 9

Compiler

Compiled 1602 to 696 computations (56.6% saved)

regimes489.0ms (6.5%)

Accuracy

Total 0.1b remaining (98.5%)

Threshold costs 0.1b (98.5%)

Compiler

Compiled 4988 to 3299 computations (33.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_1714`
8×	`sub-neg_binary64_1776` `+-commutative_binary64_1713`
6×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
5×	`distribute-rgt-neg-in_binary64_1741`
4×	`cancel-sign-sub-inv_binary64_1749`
3×	`distribute-lft-neg-in_binary64_1740`
2×	`distribute-lft-neg-out_binary64_1742`
1×	`1-exp_binary64_1827`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `unpow1_binary64_1841` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `cancel-sign-sub_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	32	34
2	51	34
3	63	34
4	71	34
5	73	34
6	72	34

end0.0ms (0%)

sample3.1s (41%)

Algorithm

1×

intervals

Results

572.0ms	1969×	body	1024	valid
314.0ms	4525×	body	128	valid
208.0ms	1005×	body	512	valid
152.0ms	8000×	pre	128	true
77.0ms	494×	body	256	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 1691 to 1121 computations (33.7% saved)

Details

analyze165.0ms (2.2%)

sample61.0ms (0.8%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite91.0ms (1.2%)

series509.0ms (6.8%)

simplify111.0ms (1.5%)

prune71.0ms (0.9%)

localize19.0ms (0.3%)

rewrite147.0ms (2%)

series430.0ms (5.7%)

simplify121.0ms (1.6%)

prune49.0ms (0.7%)

localize9.0ms (0.1%)

rewrite184.0ms (2.4%)

series660.0ms (8.8%)

simplify163.0ms (2.2%)

prune162.0ms (2.2%)

localize11.0ms (0.1%)

rewrite130.0ms (1.7%)

series593.0ms (7.9%)

simplify161.0ms (2.1%)

prune82.0ms (1.1%)

regimes489.0ms (6.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.1s (41%)

Profiling