Details

Time bar (total: 1.6s)

analyze253.0ms (16.1%)

Algorithm
search
egg-herbie
Rules
334×cancel-sign-sub-inv_binary64_1749
289×sub-neg_binary64_1776
202×distribute-rgt-in_binary64_1733
144×distribute-neg-in_binary64_1744
131×associate-+l-_binary64_1718
127×associate--r+_binary64_1719
119×unsub-neg_binary64_1777
102×associate--l+_binary64_1720
98×associate--r-_binary64_1722
88×associate--l-_binary64_1721
80×associate-+r+_binary64_1715
75×associate-+l+_binary64_1716
73×distribute-rgt-neg-in_binary64_1741
69×+-commutative_binary64_1713
58×distribute-lft-in_binary64_1732
57×distribute-lft-neg-out_binary64_1742
52×associate-+r-_binary64_1717
50×neg-mul-1_binary64_1779
48×sub0-neg_binary64_1770
43×*-commutative_binary64_1714
38×neg-sub0_binary64_1778 associate-*r*_binary64_1723
33×distribute-lft-neg-in_binary64_1740
32×distribute-rgt-neg-out_binary64_1743
31×associate-*l*_binary64_1724
30×cancel-sign-sub_binary64_1748
20×*-rgt-identity_binary64_1773
19×remove-double-neg_binary64_1771
16×distribute-neg-out_binary64_1745
14×distribute-rgt-out--_binary64_1737 distribute-rgt-out_binary64_1736
12×*-lft-identity_binary64_1772 mul0-rgt_binary64_1766 mul0-lft_binary64_1765
--rgt-identity_binary64_1769 +-rgt-identity_binary64_1768 distribute-lft-out--_binary64_1735
+-lft-identity_binary64_1767
distribute-lft-out_binary64_1734
1-exp_binary64_1827
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 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 pow-sqr_binary64_1756 sqr-pow_binary64_1755 difference-of-sqr--1_binary64_1754 difference-of-sqr-1_binary64_1753 difference-of-squares_binary64_1752 unswap-sqr_binary64_1751 swap-sqr_binary64_1750 distribute-neg-frac_binary64_1747 distribute-frac-neg_binary64_1746 distribute-rgt1-in_binary64_1739 distribute-lft1-in_binary64_1738 count-2_binary64_1731 associate-/l/_binary64_1730 associate-/r/_binary64_1729 associate-/l*_binary64_1728 associate-/r*_binary64_1727 associate-*l/_binary64_1726 associate-*r/_binary64_1725
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
14232
28632
315926
435326
570126
6100426
7115726
8116126
9112126
10112126
11103026
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
50%50%0.1%6
56.2%37.5%6.3%7
68.7%25%6.3%8
71.8%18.7%9.5%9
78%12.5%9.5%10
79.6%9.4%11%11
82.7%6.2%11%12
83.6%4.6%11.8%13
85.1%3.1%11.8%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample16.0ms (1%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 23 to 23 computations (0% saved)

simplify37.0ms (2.4%)

Algorithm
egg-herbie
Rules
222×cancel-sign-sub-inv_binary64_1749
143×sub-neg_binary64_1776
82×associate--r+_binary64_1719
81×distribute-rgt-in_binary64_1733
77×distribute-neg-in_binary64_1744
74×associate--l+_binary64_1720
64×associate-+l-_binary64_1718
57×unsub-neg_binary64_1777
47×distribute-rgt-neg-in_binary64_1741
44×associate-+r+_binary64_1715
41×associate--r-_binary64_1722
40×associate-+l+_binary64_1716
38×distribute-lft-neg-out_binary64_1742
32×distribute-lft-in_binary64_1732
31×associate--l-_binary64_1721
28×+-commutative_binary64_1713
27×neg-mul-1_binary64_1779 distribute-lft-neg-in_binary64_1740
24×neg-sub0_binary64_1778
22×*-commutative_binary64_1714
21×associate-+r-_binary64_1717
20×sub0-neg_binary64_1770
15×associate-*r*_binary64_1723
12×distribute-rgt-neg-out_binary64_1743 associate-*l*_binary64_1724
10×remove-double-neg_binary64_1771
mul0-rgt_binary64_1766 mul0-lft_binary64_1765 distribute-neg-out_binary64_1745
+-rgt-identity_binary64_1768 distribute-rgt-out--_binary64_1737
*-rgt-identity_binary64_1773 *-lft-identity_binary64_1772
--rgt-identity_binary64_1769 distribute-rgt-out_binary64_1736
+-lft-identity_binary64_1767
distribute-lft-out_binary64_1734
1-exp_binary64_1827 mul-1-neg_binary64_1775
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 /-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 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_binary64_1748 distribute-neg-frac_binary64_1747 distribute-frac-neg_binary64_1746 distribute-rgt1-in_binary64_1739 distribute-lft1-in_binary64_1738 distribute-lft-out--_binary64_1735 count-2_binary64_1731 associate-/l/_binary64_1730 associate-/r/_binary64_1729 associate-/l*_binary64_1728 associate-/r*_binary64_1727 associate-*l/_binary64_1726 associate-*r/_binary64_1725
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01116
12616
25216
39113
418013
534513
649413
765913
864113
964313
1056413

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0b
Counts
2 → 2
Compiler

Compiled 29 to 26 computations (10.3% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))

rewrite32.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
associate--l+_binary64_1720
cancel-sign-sub-inv_binary64_1749
distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732
add-log-exp_binary64_1822 add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783 sub-neg_binary64_1776
diff-log_binary64_1875 pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 flip3--_binary64_1787 flip--_binary64_1758
Counts
1 → 20
Calls

1 calls:

9.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 393 to 291 computations (26% saved)

series153.0ms (9.8%)

Error
0b
Counts
1 → 12
Calls

1 calls:

144.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 282 to 223 computations (20.9% saved)

simplify80.0ms (5.1%)

Algorithm
egg-herbie
Rules
912×unsub-neg_binary64_1777
293×exp-prod_binary64_1835
289×neg-sub0_binary64_1778
280×*-commutative_binary64_1714
263×neg-mul-1_binary64_1779
234×associate-*l*_binary64_1724
216×cancel-sign-sub-inv_binary64_1749
182×associate-*r*_binary64_1723
175×distribute-lft-neg-out_binary64_1742
174×distribute-rgt-neg-out_binary64_1743
172×associate-+r+_binary64_1715
169×associate-+l+_binary64_1716
163×cube-prod_binary64_1811
119×distribute-rgt-in_binary64_1733
103×distribute-lft-in_binary64_1732
102×distribute-rgt-neg-in_binary64_1741
101×exp-sum_binary64_1829
89×times-frac_binary64_1789 +-commutative_binary64_1713
88×distribute-lft-neg-in_binary64_1740
85×unpow3_binary64_1849
75×exp-diff_binary64_1831
64×distribute-rgt-out_binary64_1736
62×sub-neg_binary64_1776
45×exp-neg_binary64_1830
40×sqr-neg_binary64_1797
37×swap-sqr_binary64_1750
36×cube-neg_binary64_1810 sqr-pow_binary64_1755
35×distribute-lft-out_binary64_1734
34×associate-+l-_binary64_1718
29×associate--r+_binary64_1719
24×associate-/l*_binary64_1728
23×cancel-sign-sub_binary64_1748
21×cube-mult_binary64_1813 distribute-neg-in_binary64_1744 associate-+r-_binary64_1717
20×div-sub_binary64_1788
19×mul-1-neg_binary64_1775
16×unswap-sqr_binary64_1751 distribute-rgt-out--_binary64_1737 associate--l+_binary64_1720
11×distribute-lft-out--_binary64_1735
10×difference-of-squares_binary64_1752
mul0-rgt_binary64_1766 mul0-lft_binary64_1765 distribute-neg-out_binary64_1745
cube-unmult_binary64_1820 associate-/r*_binary64_1727
*-lft-identity_binary64_1772 sub0-neg_binary64_1770
*-rgt-identity_binary64_1773 +-rgt-identity_binary64_1768
associate--r-_binary64_1722
pow-sqr_binary64_1756
log-prod_binary64_1869 associate-*r/_binary64_1725
unpow1/2_binary64_1847 pow-plus_binary64_1846 div-exp_binary64_1834 remove-double-neg_binary64_1771 associate-/l/_binary64_1730 associate--l-_binary64_1721
1-exp_binary64_1827 exp-1-e_binary64_1826 rem-3cbrt-lft_binary64_1808 --rgt-identity_binary64_1769 distribute-frac-neg_binary64_1746 associate-/r/_binary64_1729 associate-*l/_binary64_1726
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 pow-base-0_binary64_1867 unpow1/3_binary64_1850 unpow2_binary64_1848 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 rec-exp_binary64_1833 prod-exp_binary64_1832 e-exp-1_binary64_1828 exp-0_binary64_1825 rem-log-exp_binary64_1824 rem-exp-log_binary64_1823 cube-div_binary64_1812 rem-3cbrt-rft_binary64_1809 rem-cbrt-cube_binary64_1807 rem-cube-cbrt_binary64_1806 sqr-abs_binary64_1798 rem-sqrt-square_binary64_1796 rem-square-sqrt_binary64_1795 /-rgt-identity_binary64_1774 +-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 distribute-neg-frac_binary64_1747 distribute-rgt1-in_binary64_1739 distribute-lft1-in_binary64_1738 count-2_binary64_1731
Counts
32 → 29
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065452
1166380
2442358
31333349
42960349
54967349
64926349

prune25.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New29029
Fresh011
Picked011
Done000
Total29231
Error
0b
Counts
31 → 2
Compiler

Compiled 357 to 230 computations (35.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 y (+.f64 x -1/2)) x)

rewrite23.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64_1822 cancel-sign-sub-inv_binary64_1749
add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783 associate--l+_binary64_1720
diff-log_binary64_1875 pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732
Counts
1 → 16
Calls

1 calls:

7.0ms
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
Compiler

Compiled 266 to 181 computations (32% saved)

series146.0ms (9.3%)

Error
0b
Counts
1 → 12
Calls

1 calls:

138.0ms
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
Compiler

Compiled 282 to 223 computations (20.9% saved)

simplify81.0ms (5.2%)

Algorithm
egg-herbie
Rules
412×*-commutative_binary64_1714
386×neg-sub0_binary64_1778
366×exp-prod_binary64_1835 neg-mul-1_binary64_1779
329×associate-+r+_binary64_1715
319×associate-+l+_binary64_1716
242×associate-*l*_binary64_1724
211×distribute-rgt-neg-out_binary64_1743
209×distribute-lft-neg-out_binary64_1742 associate-*r*_binary64_1723
201×cancel-sign-sub-inv_binary64_1749
182×distribute-rgt-in_binary64_1733
178×distribute-rgt-out_binary64_1736
168×distribute-lft-in_binary64_1732
144×distribute-lft-out_binary64_1734
103×times-frac_binary64_1789
94×exp-sum_binary64_1829
86×exp-diff_binary64_1831
81×cube-prod_binary64_1811
55×unsub-neg_binary64_1777
54×swap-sqr_binary64_1750
53×sub-neg_binary64_1776
49×distribute-rgt-neg-in_binary64_1741
43×unswap-sqr_binary64_1751
40×sqr-pow_binary64_1755
35×distribute-lft-neg-in_binary64_1740
32×associate--l+_binary64_1720
30×div-sub_binary64_1788
29×distribute-rgt-out--_binary64_1737 associate--r+_binary64_1719
28×associate-+l-_binary64_1718
27×+-commutative_binary64_1713
26×sqr-neg_binary64_1797 distribute-lft-out--_binary64_1735
25×unpow3_binary64_1849
22×distribute-neg-in_binary64_1744 associate-/l*_binary64_1728
18×exp-neg_binary64_1830
16×difference-of-squares_binary64_1752
15×associate-+r-_binary64_1717
12×cube-neg_binary64_1810
11×distribute-neg-out_binary64_1745
10×cube-unmult_binary64_1820 cube-mult_binary64_1813 mul-1-neg_binary64_1775 mul0-rgt_binary64_1766 mul0-lft_binary64_1765
pow-plus_binary64_1846 *-rgt-identity_binary64_1773 *-lft-identity_binary64_1772
rec-exp_binary64_1833 sub0-neg_binary64_1770
log-prod_binary64_1869
+-rgt-identity_binary64_1768 pow-sqr_binary64_1756 associate--r-_binary64_1722
div-exp_binary64_1834 rem-sqrt-square_binary64_1796 distribute-rgt1-in_binary64_1739
unpow1/2_binary64_1847 cancel-sign-sub_binary64_1748 distribute-frac-neg_binary64_1746 associate-*r/_binary64_1725 associate--l-_binary64_1721
prod-exp_binary64_1832 1-exp_binary64_1827 exp-1-e_binary64_1826 rem-3cbrt-lft_binary64_1808 rem-square-sqrt_binary64_1795 remove-double-neg_binary64_1771 --rgt-identity_binary64_1769 distribute-lft1-in_binary64_1738 associate-/l/_binary64_1730 associate-/r/_binary64_1729 associate-/r*_binary64_1727
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 pow-base-0_binary64_1867 unpow1/3_binary64_1850 unpow2_binary64_1848 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 e-exp-1_binary64_1828 exp-0_binary64_1825 rem-log-exp_binary64_1824 rem-exp-log_binary64_1823 cube-div_binary64_1812 rem-3cbrt-rft_binary64_1809 rem-cbrt-cube_binary64_1807 rem-cube-cbrt_binary64_1806 sqr-abs_binary64_1798 /-rgt-identity_binary64_1774 +-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 distribute-neg-frac_binary64_1747 count-2_binary64_1731 associate-*l/_binary64_1726
Counts
28 → 24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061350
1143311
2360305
31450305
43665305
54931305
64915305

prune18.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New24024
Fresh000
Picked011
Done011
Total24226
Error
0b
Counts
26 → 2
Compiler

Compiled 280 to 186 computations (33.6% saved)

regimes80.0ms (5.1%)

Accuracy

Total 0.0b remaining (90.8%)

Threshold costs 0.0b (90.8%)

Compiler

Compiled 360 to 368 computations (-2.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_1713
sub-neg_binary64_1776 *-commutative_binary64_1714
neg-mul-1_binary64_1779 neg-sub0_binary64_1778
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 1-exp_binary64_1827 exp-1-e_binary64_1826 exp-0_binary64_1825 sqr-abs_binary64_1798 sqr-neg_binary64_1797 unsub-neg_binary64_1777 mul-1-neg_binary64_1775 /-rgt-identity_binary64_1774 *-rgt-identity_binary64_1773 *-lft-identity_binary64_1772 remove-double-neg_binary64_1771 sub0-neg_binary64_1770 --rgt-identity_binary64_1769 +-rgt-identity_binary64_1768 +-lft-identity_binary64_1767 cancel-sign-sub-inv_binary64_1749 cancel-sign-sub_binary64_1748 distribute-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)

IterNodesCost
0913
11413
21913
32113
42213
52213

end0.0ms (0%)

sample603.0ms (38.5%)

Algorithm
intervals
Results
241.0ms7997×body128valid
2.0ms84×body128invalid
0.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 100 to 102 computations (-2% saved)

Profiling

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