Details

Time bar (total: 5.5s)

analyze3.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 5 to 5 computations (0% saved)

sample51.0ms (0.9%)

Algorithm
intervals
Results
27.0ms83×body1024valid
8.0ms46×body512valid
3.0msbody2048valid
3.0ms101×body128valid
1.0ms18×body256valid
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify99.0ms (1.8%)

Algorithm
egg-herbie
Rules
1-exp_binary64_1827 +-commutative_binary64_1713
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_1729 associate-/l*_binary64_1728 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 *-commutative_binary64_1714
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
276

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
37.8b
Counts
1 → 1
Compiler

Compiled 4 to 4 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.7b
(log.f64 (+.f64 1 x))

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Error
37.7b
Rules
log-prod_binary64_1869 *-un-lft-identity_binary64_1783
pow1_binary64_1844 log-div_binary64_1870 add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 add-exp-log_binary64_1821
log-pow_binary64_1872 flip3-+_binary64_1786 flip-+_binary64_1757 distribute-lft-out_binary64_1734 rem-log-exp_binary64_1824 add-log-exp_binary64_1822 add-cbrt-cube_binary64_1819
Counts
1 → 15
Calls

1 calls:

3.0ms
(log.f64 (+.f64 1 x))
Compiler

Compiled 152 to 124 computations (18.4% saved)

series41.0ms (0.7%)

Error
0.1b
Counts
1 → 9
Calls

1 calls:

29.0ms
(log.f64 (+.f64 1 x))
Compiler

Compiled 213 to 180 computations (15.5% saved)

simplify77.0ms (1.4%)

Algorithm
egg-herbie
Rules
550×sub-neg_binary64_1776
324×neg-mul-1_binary64_1779
300×distribute-rgt-neg-in_binary64_1741
291×neg-sub0_binary64_1778
282×associate-*l*_binary64_1724
245×times-frac_binary64_1789
232×distribute-lft-neg-in_binary64_1740 associate-*r*_binary64_1723
219×associate--r+_binary64_1719
208×cancel-sign-sub-inv_binary64_1749
197×associate-+l+_binary64_1716
175×distribute-neg-in_binary64_1744
170×unswap-sqr_binary64_1751
146×associate--r-_binary64_1722
144×associate-+r-_binary64_1717
140×unsub-neg_binary64_1777
117×associate-+l-_binary64_1718
113×div-sub_binary64_1788
98×+-commutative_binary64_1713
97×associate-/r*_binary64_1727
94×associate--l+_binary64_1720
87×*-commutative_binary64_1714
55×log-prod_binary64_1869
52×distribute-rgt-in_binary64_1733
49×distribute-neg-frac_binary64_1747 distribute-lft-neg-out_binary64_1742
45×distribute-rgt-out--_binary64_1737
44×distribute-lft-in_binary64_1732 associate--l-_binary64_1721
42×sub0-neg_binary64_1770
38×distribute-rgt-neg-out_binary64_1743 distribute-rgt-out_binary64_1736
28×distribute-lft-out--_binary64_1735
27×*-lft-identity_binary64_1772
25×associate-*r/_binary64_1725
23×+-rgt-identity_binary64_1768 associate-/l/_binary64_1730 associate-*l/_binary64_1726
22×--rgt-identity_binary64_1769 associate-+r+_binary64_1715
19×log-div_binary64_1870 distribute-lft-out_binary64_1734
18×*-rgt-identity_binary64_1773 sqr-pow_binary64_1755 cancel-sign-sub_binary64_1748
16×pow-plus_binary64_1846 cube-prod_binary64_1811
15×difference-of-squares_binary64_1752
13×associate-/l*_binary64_1728
11×distribute-rgt1-in_binary64_1739
10×remove-double-neg_binary64_1771
cube-unmult_binary64_1820
unpow3_binary64_1849 exp-sum_binary64_1829 mul0-rgt_binary64_1766 mul0-lft_binary64_1765
log-pow_binary64_1872 +-lft-identity_binary64_1767
+-inverses_binary64_1762 swap-sqr_binary64_1750 distribute-neg-out_binary64_1745
log-rec_binary64_1871 exp-prod_binary64_1835 exp-diff_binary64_1831 difference-of-sqr--1_binary64_1754 difference-of-sqr-1_binary64_1753 distribute-lft1-in_binary64_1738 count-2_binary64_1731
rem-exp-log_binary64_1823 cube-mult_binary64_1813 remove-double-div_binary64_1759 pow-sqr_binary64_1756
unpow2_binary64_1848 unpow1/2_binary64_1847 unpow1_binary64_1841 1-exp_binary64_1827 rem-sqrt-square_binary64_1796 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 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-neg_binary64_1830 e-exp-1_binary64_1828 exp-1-e_binary64_1826 exp-0_binary64_1825 rem-log-exp_binary64_1824 cube-div_binary64_1812 cube-neg_binary64_1810 rem-3cbrt-rft_binary64_1809 rem-3cbrt-lft_binary64_1808 rem-cbrt-cube_binary64_1807 rem-cube-cbrt_binary64_1806 sqr-abs_binary64_1798 sqr-neg_binary64_1797 rem-square-sqrt_binary64_1795 /-rgt-identity_binary64_1774 div0_binary64_1764 *-inverses_binary64_1763 lft-mult-inverse_binary64_1761 rgt-mult-inverse_binary64_1760 distribute-frac-neg_binary64_1746 associate-/r/_binary64_1729
Counts
24 → 45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066308
1144276
2313270
3868267
43053267
54387267
65015267

prune41.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43245
Fresh000
Picked011
Done000
Total43346
Error
0.1b
Counts
46 → 3
Compiler

Compiled 561 to 396 computations (29.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x (-.f64 1/3 (*.f64 x 1/4))) 1/2)
0.0b
(-.f64 1/3 (*.f64 x 1/4))
0.0b
(*.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 1/3 (*.f64 x 1/4))) 1/2))
0.2b
(*.f64 x (-.f64 1/3 (*.f64 x 1/4)))

rewrite131.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
18×cancel-sign-sub-inv_binary64_1749
16×distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732
13×add-sqr-sqrt_binary64_1805
12×sub-neg_binary64_1776 associate--l+_binary64_1720
11×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
10×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
add-log-exp_binary64_1822
associate-*r*_binary64_1723
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 flip3--_binary64_1787 associate-*r/_binary64_1725 flip--_binary64_1758 associate-*l*_binary64_1724
unswap-sqr_binary64_1751 *-commutative_binary64_1714 diff-log_binary64_1875
Counts
4 → 91
Calls

4 calls:

12.0ms
(*.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 1/3 (*.f64 x 1/4))) 1/2))
6.0ms
(-.f64 (*.f64 x (-.f64 1/3 (*.f64 x 1/4))) 1/2)
6.0ms
(*.f64 x (-.f64 1/3 (*.f64 x 1/4)))
3.0ms
(-.f64 1/3 (*.f64 x 1/4))
Compiler

Compiled 2148 to 1406 computations (34.5% saved)

series161.0ms (2.9%)

Error
0.1b
Counts
4 → 22
Calls

4 calls:

55.0ms
(*.f64 x (-.f64 1/3 (*.f64 x 1/4)))
39.0ms
(*.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 1/3 (*.f64 x 1/4))) 1/2))
29.0ms
(-.f64 1/3 (*.f64 x 1/4))
24.0ms
(-.f64 (*.f64 x (-.f64 1/3 (*.f64 x 1/4))) 1/2)
Compiler

Compiled 748 to 534 computations (28.6% saved)

simplify111.0ms (2%)

Algorithm
egg-herbie
Rules
356×*-commutative_binary64_1714
352×exp-prod_binary64_1835
300×distribute-rgt-in_binary64_1733
295×unsub-neg_binary64_1777
283×distribute-lft-in_binary64_1732
250×associate-*l*_binary64_1724
222×distribute-rgt-neg-out_binary64_1743
220×unswap-sqr_binary64_1751
217×distribute-lft-neg-out_binary64_1742
178×associate-*r*_binary64_1723
159×cancel-sign-sub-inv_binary64_1749
130×distribute-rgt-neg-in_binary64_1741
120×exp-diff_binary64_1831
114×distribute-lft-neg-in_binary64_1740
91×exp-neg_binary64_1830
84×neg-mul-1_binary64_1779 neg-sub0_binary64_1778
81×sub-neg_binary64_1776
76×sqr-pow_binary64_1755
54×associate--l+_binary64_1720
52×*-lft-identity_binary64_1772
46×exp-sum_binary64_1829 *-rgt-identity_binary64_1773
39×log-prod_binary64_1869
37×+-commutative_binary64_1713
31×distribute-rgt-out_binary64_1736
30×distribute-neg-out_binary64_1745
28×associate-/l*_binary64_1728
25×associate-+l+_binary64_1716 associate-+r+_binary64_1715
24×cube-prod_binary64_1811
21×swap-sqr_binary64_1750
20×distribute-lft-out_binary64_1734
18×div-sub_binary64_1788
15×mul0-rgt_binary64_1766 mul0-lft_binary64_1765
13×pow-sqr_binary64_1756 associate-+l-_binary64_1718
12×distribute-rgt-out--_binary64_1737
10×pow-plus_binary64_1846 distribute-lft-out--_binary64_1735
unpow3_binary64_1849 associate-+r-_binary64_1717
unpow1/2_binary64_1847 sub0-neg_binary64_1770
associate-/r*_binary64_1727
cube-unmult_binary64_1820 +-rgt-identity_binary64_1768
associate--l-_binary64_1721
div-exp_binary64_1834 cube-mult_binary64_1813 distribute-neg-in_binary64_1744 associate--r+_binary64_1719
log-pow_binary64_1872 count-2_binary64_1731 associate-*r/_binary64_1725
prod-exp_binary64_1832 associate-/l/_binary64_1730
unpow1/3_binary64_1850 unpow2_binary64_1848 unpow1_binary64_1841 1-exp_binary64_1827 exp-1-e_binary64_1826 rem-3cbrt-lft_binary64_1808 sqr-neg_binary64_1797 rem-sqrt-square_binary64_1796 rem-square-sqrt_binary64_1795 associate-/r/_binary64_1729 associate-*l/_binary64_1726 associate--r-_binary64_1722
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 log-div_binary64_1870 pow-base-0_binary64_1867 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 rec-exp_binary64_1833 e-exp-1_binary64_1828 exp-0_binary64_1825 rem-log-exp_binary64_1824 rem-exp-log_binary64_1823 cube-div_binary64_1812 cube-neg_binary64_1810 rem-3cbrt-rft_binary64_1809 rem-cbrt-cube_binary64_1807 rem-cube-cbrt_binary64_1806 sqr-abs_binary64_1798 times-frac_binary64_1789 mul-1-neg_binary64_1775 /-rgt-identity_binary64_1774 remove-double-neg_binary64_1771 --rgt-identity_binary64_1769 +-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-rgt1-in_binary64_1739 distribute-lft1-in_binary64_1738
Counts
113 → 234
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01661866
13711695
210781671
325781671
445521671
549491671

prune285.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2340234
Fresh011
Picked011
Done011
Total2343237
Error
0.1b
Counts
237 → 3
Compiler

Compiled 5429 to 3572 computations (34.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x x) x)
0.3b
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
15.4b
(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
16.8b
(log.f64 (+.f64 (pow.f64 x 3) 1))

rewrite131.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
23×*-un-lft-identity_binary64_1783
16×log-prod_binary64_1869
13×add-sqr-sqrt_binary64_1805
11×pow1_binary64_1844
10×add-cube-cbrt_binary64_1818
log-div_binary64_1870
log-pow_binary64_1872 cancel-sign-sub-inv_binary64_1749
add-exp-log_binary64_1821 add-log-exp_binary64_1822
flip3-+_binary64_1786 flip-+_binary64_1757 distribute-lft-out_binary64_1734 add-cbrt-cube_binary64_1819 distribute-lft-out--_binary64_1735 associate--l+_binary64_1720 associate--r+_binary64_1719
rem-log-exp_binary64_1824 diff-log_binary64_1875 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 difference-of-squares_binary64_1752 associate--r-_binary64_1722 associate--l-_binary64_1721
distribute-rgt-out--_binary64_1737
Counts
4 → 78
Calls

4 calls:

15.0ms
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
8.0ms
(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
7.0ms
(log.f64 (+.f64 (pow.f64 x 3) 1))
4.0ms
(-.f64 (*.f64 x x) x)
Compiler

Compiled 1930 to 1206 computations (37.5% saved)

series343.0ms (6.2%)

Error
0.1b
Counts
4 → 32
Calls

4 calls:

185.0ms
(log.f64 (+.f64 (pow.f64 x 3) 1))
44.0ms
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
41.0ms
(-.f64 (*.f64 x x) x)
41.0ms
(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
Compiler

Compiled 1160 to 954 computations (17.8% saved)

simplify148.0ms (2.7%)

Algorithm
egg-herbie
Rules
381×sub-neg_binary64_1776
249×unswap-sqr_binary64_1751
244×times-frac_binary64_1789
234×distribute-rgt-neg-in_binary64_1741
220×cancel-sign-sub-inv_binary64_1749
201×distribute-lft-neg-in_binary64_1740
186×*-commutative_binary64_1714
184×unsub-neg_binary64_1777
151×+-commutative_binary64_1713
111×log-prod_binary64_1869 distribute-rgt-in_binary64_1733
110×cube-prod_binary64_1811
109×exp-prod_binary64_1835
99×neg-mul-1_binary64_1779
97×neg-sub0_binary64_1778
95×distribute-lft-neg-out_binary64_1742
90×distribute-lft-in_binary64_1732
83×sqr-pow_binary64_1755 associate-+l+_binary64_1716
81×distribute-rgt-neg-out_binary64_1743
75×unpow3_binary64_1849
74×associate-+l-_binary64_1718
72×associate-+r+_binary64_1715
71×distribute-neg-in_binary64_1744
63×distribute-rgt-out_binary64_1736 associate-+r-_binary64_1717
60×associate--l+_binary64_1720
59×difference-of-squares_binary64_1752
55×associate-/r*_binary64_1727
54×exp-sum_binary64_1829 associate--r+_binary64_1719
52×div-sub_binary64_1788 associate-*r*_binary64_1723
48×associate-*l*_binary64_1724
42×swap-sqr_binary64_1750
41×sub0-neg_binary64_1770 +-rgt-identity_binary64_1768
34×cancel-sign-sub_binary64_1748 associate--r-_binary64_1722
29×distribute-lft-out_binary64_1734
26×exp-diff_binary64_1831
25×distribute-rgt-out--_binary64_1737
20×sqr-neg_binary64_1797 distribute-neg-frac_binary64_1747
18×log-div_binary64_1870 pow-plus_binary64_1846
17×log-pow_binary64_1872 cube-unmult_binary64_1820
15×*-rgt-identity_binary64_1773 mul0-rgt_binary64_1766 mul0-lft_binary64_1765 distribute-rgt1-in_binary64_1739
14×*-lft-identity_binary64_1772 pow-sqr_binary64_1756
13×cube-mult_binary64_1813
12×cube-neg_binary64_1810 remove-double-neg_binary64_1771 --rgt-identity_binary64_1769
11×rem-sqrt-square_binary64_1796 associate-*r/_binary64_1725
10×distribute-lft-out--_binary64_1735
distribute-neg-out_binary64_1745 associate-/l*_binary64_1728
associate-*l/_binary64_1726
difference-of-sqr--1_binary64_1754 difference-of-sqr-1_binary64_1753
distribute-lft1-in_binary64_1738
log-rec_binary64_1871
unpow2_binary64_1848 rem-log-exp_binary64_1824 rem-exp-log_binary64_1823
unpow1/2_binary64_1847 exp-neg_binary64_1830 rem-3cbrt-lft_binary64_1808 rem-square-sqrt_binary64_1795 mul-1-neg_binary64_1775 count-2_binary64_1731 associate--l-_binary64_1721
exp-to-pow_binary64_1845 unpow1_binary64_1841 div-exp_binary64_1834 1-exp_binary64_1827 exp-1-e_binary64_1826 cube-div_binary64_1812 /-rgt-identity_binary64_1774 +-inverses_binary64_1762 remove-double-div_binary64_1759 distribute-frac-neg_binary64_1746
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 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 rec-exp_binary64_1833 prod-exp_binary64_1832 e-exp-1_binary64_1828 exp-0_binary64_1825 rem-3cbrt-rft_binary64_1809 rem-cbrt-cube_binary64_1807 rem-cube-cbrt_binary64_1806 sqr-abs_binary64_1798 +-lft-identity_binary64_1767 div0_binary64_1764 *-inverses_binary64_1763 lft-mult-inverse_binary64_1761 rgt-mult-inverse_binary64_1760 associate-/l/_binary64_1730 associate-/r/_binary64_1729
Counts
110 → 103
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02022044
14701937
211701925
327231907
444851907
549571907
648911907

prune118.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New994103
Fresh000
Picked101
Done022
Total1006106
Error
0.0b
Counts
106 → 6
Compiler

Compiled 2331 to 1481 computations (36.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b
(log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))
14.2b
(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
14.2b
(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
15.4b
(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

rewrite141.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×*-un-lft-identity_binary64_1783
12×cbrt-prod_binary64_1814
11×log-prod_binary64_1869
add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805
pow1_binary64_1844 add-exp-log_binary64_1821 cbrt-div_binary64_1815
flip3-+_binary64_1786 log-div_binary64_1870 flip-+_binary64_1757 distribute-lft-out_binary64_1734 add-log-exp_binary64_1822 add-cbrt-cube_binary64_1819
log-pow_binary64_1872 pow1/3_binary64_1865
rem-log-exp_binary64_1824
Counts
4 → 62
Calls

4 calls:

7.0ms
(log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))
6.0ms
(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
6.0ms
(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
6.0ms
(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
Compiler

Compiled 2151 to 1612 computations (25.1% saved)

series739.0ms (13.4%)

Error
0.0b
Counts
4 → 33
Calls

4 calls:

329.0ms
(log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))
161.0ms
(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
156.0ms
(cbrt.f64 (+.f64 (pow.f64 x 3) 1))
43.0ms
(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
Compiler

Compiled 2309 to 1907 computations (17.4% saved)

simplify142.0ms (2.6%)

Algorithm
egg-herbie
Rules
312×times-frac_binary64_1789
295×distribute-rgt-neg-in_binary64_1741
294×associate-*l*_binary64_1724
277×associate-*r*_binary64_1723
259×distribute-lft-neg-in_binary64_1740
237×sub-neg_binary64_1776
182×cube-prod_binary64_1811
120×cancel-sign-sub-inv_binary64_1749
111×distribute-lft-neg-out_binary64_1742
108×distribute-rgt-neg-out_binary64_1743
99×+-commutative_binary64_1713
89×*-commutative_binary64_1714
88×log-prod_binary64_1869
83×cancel-sign-sub_binary64_1748
76×unsub-neg_binary64_1777
69×distribute-rgt-in_binary64_1733
67×log-pow_binary64_1872
62×associate-+l+_binary64_1716
58×swap-sqr_binary64_1750 associate-/r*_binary64_1727
57×distribute-lft-in_binary64_1732
54×neg-sub0_binary64_1778
53×sqr-pow_binary64_1755 associate-+r+_binary64_1715
52×distribute-neg-in_binary64_1744
50×associate--l+_binary64_1720
48×exp-sum_binary64_1829
47×difference-of-squares_binary64_1752
46×unpow3_binary64_1849 neg-mul-1_binary64_1779 associate-+l-_binary64_1718
45×associate-+r-_binary64_1717
44×exp-prod_binary64_1835
33×associate--r+_binary64_1719
32×cube-mult_binary64_1813
31×+-rgt-identity_binary64_1768
30×unswap-sqr_binary64_1751
29×log-rec_binary64_1871 cube-div_binary64_1812
26×*-rgt-identity_binary64_1773
25×distribute-rgt-out_binary64_1736
24×associate-*l/_binary64_1726
22×pow-plus_binary64_1846 distribute-neg-frac_binary64_1747 distribute-rgt1-in_binary64_1739 associate-*r/_binary64_1725
21×log-div_binary64_1870 exp-diff_binary64_1831
20×sub0-neg_binary64_1770
19×exp-neg_binary64_1830 *-lft-identity_binary64_1772
14×cube-unmult_binary64_1820 distribute-lft-out_binary64_1734
12×associate--r-_binary64_1722
11×associate-/r/_binary64_1729
10×pow-sqr_binary64_1756 distribute-rgt-out--_binary64_1737
exp-to-pow_binary64_1845
div-sub_binary64_1788 difference-of-sqr--1_binary64_1754
/-rgt-identity_binary64_1774 difference-of-sqr-1_binary64_1753 associate-/l*_binary64_1728
rem-exp-log_binary64_1823 mul-1-neg_binary64_1775
exp-lft-cube_binary64_1839 --rgt-identity_binary64_1769 distribute-neg-out_binary64_1745 distribute-lft-out--_binary64_1735 count-2_binary64_1731
unpow1/3_binary64_1850 prod-exp_binary64_1832 rem-log-exp_binary64_1824 rem-sqrt-square_binary64_1796 remove-double-neg_binary64_1771 distribute-frac-neg_binary64_1746
unpow2_binary64_1848 unpow-1_binary64_1840 sqr-neg_binary64_1797 remove-double-div_binary64_1759 associate--l-_binary64_1721
log-E_binary64_1873 unpow1/2_binary64_1847 unpow1_binary64_1841 1-exp_binary64_1827 exp-1-e_binary64_1826 cube-neg_binary64_1810 rem-3cbrt-lft_binary64_1808 +-inverses_binary64_1762
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 pow-base-0_binary64_1867 pow-base-1_binary64_1843 unpow0_binary64_1842 exp-lft-sqr_binary64_1838 exp-cbrt_binary64_1837 exp-sqrt_binary64_1836 div-exp_binary64_1834 rec-exp_binary64_1833 e-exp-1_binary64_1828 exp-0_binary64_1825 rem-3cbrt-rft_binary64_1809 rem-cbrt-cube_binary64_1807 rem-cube-cbrt_binary64_1806 sqr-abs_binary64_1798 rem-square-sqrt_binary64_1795 +-lft-identity_binary64_1767 mul0-rgt_binary64_1766 mul0-lft_binary64_1765 div0_binary64_1764 *-inverses_binary64_1763 lft-mult-inverse_binary64_1761 rgt-mult-inverse_binary64_1760 distribute-lft1-in_binary64_1738 associate-/l/_binary64_1730
Counts
95 → 115
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01611616
13551525
28311504
325761490
444301461
549501461
648681461

prune218.0ms (4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh033
Picked011
Done022
Total1156121
Error
0.0b
Counts
121 → 6
Compiler

Compiled 3978 to 2974 computations (25.2% saved)

regimes209.0ms (3.8%)

Accuracy

Total 0.1b remaining (83.3%)

Threshold costs 0.1b (83.3%)

Compiler

Compiled 2126 to 1619 computations (23.8% saved)

bsearch3.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_1713
*-commutative_binary64_1714
sub-neg_binary64_1776
neg-mul-1_binary64_1779 neg-sub0_binary64_1778
cancel-sign-sub-inv_binary64_1749 distribute-rgt-neg-in_binary64_1741
1-exp_binary64_1827 distribute-lft-neg-out_binary64_1742 distribute-lft-neg-in_binary64_1740
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)

IterNodesCost
02140
13540
24740
35540
46040
56140
66040

end0.0ms (0%)

sample2.3s (41.2%)

Algorithm
intervals
Results
860.0ms2639×body1024valid
216.0ms1331×body512valid
109.0ms247×body2048valid
103.0ms3109×body128valid
56.0ms674×body256valid
Compiler

Compiled 722 to 547 computations (24.2% saved)

Profiling

Loading profile data...