Details

analyze2.1s (12.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

44×	`*-commutative_binary64_1714`
24×	`associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`associate-/l/_binary64_1730` `associate-/r*_binary64_1727` `+-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` `1-exp_binary64_1827` `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-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `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	57	184
1	101	184
2	161	184
3	161	184
4	161	184
0	3	3
1	3	3

Search

True	Other	False	Iter
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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample132.0ms (0.8%)

Algorithm

1×

intervals

Results

73.0ms	77×	body	1024	valid
24.0ms	139×	body	128	valid
17.0ms	31×	body	512	valid
3.0ms	9×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64_1714`
6×	`associate-l_binary64_1724` `associate-r_binary64_1723`
1×	`associate-/l/_binary64_1730` `associate-/r*_binary64_1727` `+-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` `1-exp_binary64_1827` `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-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `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	18	46
1	29	46
2	44	46
3	44	46
4	44	46

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 28 to 17 computations (39.3% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 eh (cos.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite304.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_1789`
92×	`add-sqr-sqrt_binary64_1805`
90×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
26×	`associate-/l*_binary64_1728`
16×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`div-inv_binary64_1780`
6×	`pow1_binary64_1844` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822`
3×	`associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730` `tan-quot_binary64_1942` `associate-/r/_binary64_1729`
1×	`cos-atan_binary64_1962` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`

Counts

4 → 168

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(*.f64 eh (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6296 to 1264 computations (79.9% saved)

series1.4s (8.5%)

Error

0.1b

Counts

4 → 37

Calls

4 calls:

511.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
487.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
231.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
119.0ms	(*.f64 eh (cos.f64 t))

Compiler

Compiled 3249 to 1545 computations (52.4% saved)

simplify210.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

656×	`times-frac_binary64_1789`
495×	`associate-/l*_binary64_1728`
444×	`associate-/l/_binary64_1730`
350×	`associate-/r*_binary64_1727`
295×	`associate-l_binary64_1724`
230×	`cancel-sign-sub-inv_binary64_1749`
214×	`associate-r_binary64_1723`
196×	`sub-neg_binary64_1776`
189×	`associate-*l/_binary64_1726`
171×	`associate-/r/_binary64_1729`
147×	`*-commutative_binary64_1714`
146×	`associate-*r/_binary64_1725`
131×	`div-sub_binary64_1788`
97×	`sqr-pow_binary64_1755`
90×	`distribute-rgt-neg-in_binary64_1741`
78×	`distribute-lft-neg-in_binary64_1740`
73×	`neg-mul-1_binary64_1779`
69×	`*-rgt-identity_binary64_1773`
68×	`neg-sub0_binary64_1778`
61×	`/-rgt-identity_binary64_1774` `unswap-sqr_binary64_1751`
60×	`cube-prod_binary64_1811`
59×	`unsub-neg_binary64_1777` `associate-+l-_binary64_1718`
58×	`cube-div_binary64_1812`
57×	`log-div_binary64_1870`
52×	`log-prod_binary64_1869` `associate--l+_binary64_1720`
51×	`*-lft-identity_binary64_1772`
49×	`distribute-neg-frac_binary64_1747`
44×	`associate-+l+_binary64_1716`
43×	`swap-sqr_binary64_1750` `associate--l-_binary64_1721`
34×	`exp-prod_binary64_1835`
31×	`+-commutative_binary64_1713`
30×	`associate-+r+_binary64_1715`
28×	`distribute-rgt-out--_binary64_1737`
27×	`distribute-rgt-out_binary64_1736` `associate-+r-_binary64_1717`
17×	`unpow3_binary64_1849`
15×	`cube-mult_binary64_1813` `pow-sqr_binary64_1756`
14×	`log-rec_binary64_1871` `associate--r+_binary64_1719`
12×	`cube-unmult_binary64_1820` `remove-double-div_binary64_1759` `associate--r-_binary64_1722`
10×	`rem-sqrt-square_binary64_1796`
9×	`sub0-neg_binary64_1770` `+-rgt-identity_binary64_1768` `distribute-lft-out_binary64_1734` `distribute-rgt-in_binary64_1733`
8×	`unpow1/2_binary64_1847` `--rgt-identity_binary64_1769`
7×	`pow-plus_binary64_1846`
6×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `distribute-lft-out--_binary64_1735` `distribute-lft-in_binary64_1732`
4×	`+-lft-identity_binary64_1767` `distribute-neg-out_binary64_1745` `distribute-rgt1-in_binary64_1739`
3×	`exp-sum_binary64_1829` `distribute-neg-in_binary64_1744`
2×	`remove-double-neg_binary64_1771` `div0_binary64_1764` `+-inverses_binary64_1762` `distribute-rgt-neg-out_binary64_1743`
1×	`unpow2_binary64_1848` `unpow1_binary64_1841` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `count-2_binary64_1731`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `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-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` `*-inverses_binary64_1763` `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-lft-neg-out_binary64_1742` `distribute-lft1-in_binary64_1738`

Counts

205 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	3777
1	455	3607
2	1248	3607
3	3610	3601
4	4348	3601
5	4909	3601
6	5009	3601

prune150.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	4	106

Error

0.1b

Counts

106 → 4

Compiler

Compiled 3636 to 630 computations (82.7% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.4b	(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))))
3.5b	(/.f64 eh (*.f64 ew (tan.f64 t)))
36.3b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite213.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64_1789`
50×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
16×	`associate-/l*_binary64_1728`
14×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`div-inv_binary64_1780`
5×	`pow1_binary64_1844` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
4×	`add-log-exp_binary64_1822` `associate-/r*_binary64_1727` `log-pow_binary64_1872`
3×	`exp-prod_binary64_1835` `log-prod_binary64_1869`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `tan-quot_binary64_1942` `associate-/r/_binary64_1729`
1×	`cos-atan_binary64_1962` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725` `rem-log-exp_binary64_1824` `associate-/l/_binary64_1730`

Counts

4 → 116

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
6.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
3.0ms	(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 4528 to 1005 computations (77.8% saved)

series2.0s (12%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

650.0ms	(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))))
543.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
488.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
237.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 3562 to 1763 computations (50.5% saved)

simplify209.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

524×	`sub-neg_binary64_1776`
512×	`times-frac_binary64_1789`
491×	`associate-/l/_binary64_1730`
410×	`associate-/r*_binary64_1727`
404×	`associate-/l*_binary64_1728`
309×	`distribute-rgt-in_binary64_1733`
232×	`div-sub_binary64_1788`
218×	`cancel-sign-sub-inv_binary64_1749`
187×	`unsub-neg_binary64_1777`
182×	`associate-l_binary64_1724`
169×	`associate-/r/_binary64_1729`
161×	`associate-*l/_binary64_1726`
159×	`associate--l-_binary64_1721`
158×	`sqr-pow_binary64_1755`
152×	`div0_binary64_1764`
146×	`associate--l+_binary64_1720`
130×	`distribute-neg-in_binary64_1744`
129×	`associate-+l-_binary64_1718`
122×	`*-commutative_binary64_1714`
117×	`unswap-sqr_binary64_1751`
105×	`associate-*r/_binary64_1725`
86×	`associate-+l+_binary64_1716`
75×	`neg-mul-1_binary64_1779`
73×	`associate--r-_binary64_1722`
72×	`mul0-lft_binary64_1765`
70×	`neg-sub0_binary64_1778` `associate-r_binary64_1723` `associate--r+_binary64_1719`
69×	`log-pow_binary64_1872`
68×	`log-prod_binary64_1869`
62×	`pow-sqr_binary64_1756`
57×	`*-rgt-identity_binary64_1773`
51×	`distribute-rgt-neg-in_binary64_1741`
46×	`+-rgt-identity_binary64_1768` `distribute-lft-neg-in_binary64_1740`
38×	`distribute-neg-frac_binary64_1747`
35×	`exp-prod_binary64_1835` `/-rgt-identity_binary64_1774`
34×	`associate-+r-_binary64_1717` `associate-+r+_binary64_1715`
31×	`+-commutative_binary64_1713`
28×	`*-lft-identity_binary64_1772` `distribute-lft-in_binary64_1732`
27×	`exp-sum_binary64_1829`
22×	`log-div_binary64_1870`
20×	`distribute-rgt-out_binary64_1736`
19×	`swap-sqr_binary64_1750`
18×	`exp-to-pow_binary64_1845`
17×	`sub0-neg_binary64_1770`
15×	`--rgt-identity_binary64_1769`
13×	`cube-div_binary64_1812`
12×	`remove-double-neg_binary64_1771`
11×	`cube-prod_binary64_1811`
10×	`rem-log-exp_binary64_1824` `distribute-neg-out_binary64_1745`
9×	`distribute-lft-neg-out_binary64_1742` `distribute-lft-out_binary64_1734`
8×	`rem-exp-log_binary64_1823` `distribute-lft-out--_binary64_1735`
7×	`cube-unmult_binary64_1820` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766`
6×	`distribute-rgt1-in_binary64_1739` `distribute-rgt-out--_binary64_1737`
4×	`exp-sqrt_binary64_1836` `rem-sqrt-square_binary64_1796` `distribute-lft1-in_binary64_1738` `count-2_binary64_1731`
3×	`unpow3_binary64_1849` `exp-lft-sqr_binary64_1838` `exp-diff_binary64_1831` `distribute-rgt-neg-out_binary64_1743`
2×	`log-rec_binary64_1871` `unpow1/2_binary64_1847` `cube-mult_binary64_1813` `cube-neg_binary64_1810` `sqr-neg_binary64_1797`
1×	`pow-plus_binary64_1846` `prod-exp_binary64_1832` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `+-inverses_binary64_1762`
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` `unpow2_binary64_1848` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `div-exp_binary64_1834` `rec-exp_binary64_1833` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `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`

Counts

154 → 88

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	223	2796
1	446	2612
2	1052	2612
3	2684	2612
4	2922	2612
5	3668	2612
6	4333	2612
7	4495	2612
8	4753	2612

prune125.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Error

0.1b

Counts

92 → 4

Compiler

Compiled 3116 to 539 computations (82.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 eh)
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite309.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_1789`
89×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
26×	`associate-/l*_binary64_1728`
14×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`div-inv_binary64_1780`
6×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r*_binary64_1727`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822`
3×	`cbrt-prod_binary64_1814`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730` `tan-quot_binary64_1942` `associate-/r/_binary64_1729`
1×	`cos-atan_binary64_1962` `pow1/3_binary64_1865`

Counts

4 → 161

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
1.0ms	(cbrt.f64 eh)

Compiler

Compiled 7180 to 1246 computations (82.6% saved)

series1.4s (8.4%)

Error

0.1b

Counts

4 → 32

Calls

4 calls:

494.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
493.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
232.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
120.0ms	(cbrt.f64 eh)

Compiler

Compiled 3516 to 1588 computations (54.8% saved)

simplify202.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

577×	`associate-/r*_binary64_1727`
354×	`associate-/r/_binary64_1729`
321×	`associate-*l/_binary64_1726`
315×	`associate-l_binary64_1724`
286×	`associate-*r/_binary64_1725`
283×	`associate-r_binary64_1723`
208×	`unswap-sqr_binary64_1751`
174×	`*-commutative_binary64_1714`
164×	`log-prod_binary64_1869`
163×	`associate-/l/_binary64_1730`
116×	`log-div_binary64_1870`
112×	`associate-/l*_binary64_1728`
108×	`distribute-rgt-neg-in_binary64_1741`
106×	`distribute-lft-neg-in_binary64_1740`
88×	`times-frac_binary64_1789`
75×	`cancel-sign-sub-inv_binary64_1749`
68×	`cube-prod_binary64_1811`
62×	`cube-div_binary64_1812`
58×	`sub-neg_binary64_1776`
56×	`unpow3_binary64_1849`
50×	`cube-mult_binary64_1813`
47×	`sqr-pow_binary64_1755` `distribute-neg-frac_binary64_1747`
38×	`swap-sqr_binary64_1750`
30×	`*-rgt-identity_binary64_1773`
29×	`/-rgt-identity_binary64_1774`
27×	`exp-prod_binary64_1835`
24×	`neg-sub0_binary64_1778`
23×	`neg-mul-1_binary64_1779`
19×	`pow-plus_binary64_1846`
16×	`cube-unmult_binary64_1820`
15×	`log-pow_binary64_1872`
14×	`*-lft-identity_binary64_1772`
10×	`associate--l+_binary64_1720`
9×	`div-sub_binary64_1788`
8×	`associate-+l-_binary64_1718`
7×	`unsub-neg_binary64_1777` `pow-sqr_binary64_1756` `associate-+l+_binary64_1716` `+-commutative_binary64_1713`
6×	`log-rec_binary64_1871` `associate--l-_binary64_1721` `associate-+r-_binary64_1717`
5×	`associate-+r+_binary64_1715`
4×	`rem-sqrt-square_binary64_1796` `+-rgt-identity_binary64_1768`
3×	`sub0-neg_binary64_1770` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742`
2×	`unpow1/3_binary64_1850` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
1×	`unpow2_binary64_1848` `1-exp_binary64_1827` `rem-3cbrt-lft_binary64_1808` `mul-1-neg_binary64_1775` `remove-double-neg_binary64_1771` `--rgt-identity_binary64_1769` `div0_binary64_1764` `distribute-neg-out_binary64_1745` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--r+_binary64_1719`
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` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `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`

Counts

193 → 107

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	191	3611
1	396	3394
2	1156	3394
3	3781	3394
4	4809	3394
5	4914	3394
6	4970	3394

prune178.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Error

0.1b

Counts

111 → 4

Compiler

Compiled 4479 to 684 computations (84.7% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
39.7b	(cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3))

rewrite335.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_1789`
89×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
26×	`associate-/l*_binary64_1728`
14×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`div-inv_binary64_1780`
8×	`cbrt-prod_binary64_1814`
6×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r*_binary64_1727`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730` `tan-quot_binary64_1942` `associate-/r/_binary64_1729`
1×	`pow1/3_binary64_1865` `unpow-prod-down_binary64_1862` `unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `sqr-pow_binary64_1755` `rem-cbrt-cube_binary64_1807` `cos-atan_binary64_1962`

Counts

4 → 167

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.0ms	(cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6795 to 1862 computations (72.6% saved)

series1.4s (8.6%)

Error

0.1b

Counts

4 → 37

Calls

4 calls:

515.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
502.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
232.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
124.0ms	(cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3))

Compiler

Compiled 3519 to 1888 computations (46.3% saved)

simplify271.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

403×	`associate-/l/_binary64_1730`
317×	`associate-/l*_binary64_1728`
309×	`times-frac_binary64_1789`
304×	`associate-/r*_binary64_1727`
225×	`associate-l_binary64_1724`
195×	`distribute-rgt-in_binary64_1733`
179×	`cancel-sign-sub-inv_binary64_1749`
176×	`associate--l-_binary64_1721`
172×	`sub-neg_binary64_1776`
160×	`distribute-lft-in_binary64_1732`
159×	`unswap-sqr_binary64_1751`
154×	`*-commutative_binary64_1714`
145×	`associate-*l/_binary64_1726`
143×	`associate-r_binary64_1723`
135×	`associate-/r/_binary64_1729`
133×	`div-sub_binary64_1788`
112×	`distribute-rgt-neg-in_binary64_1741`
106×	`associate-*r/_binary64_1725`
104×	`neg-mul-1_binary64_1779` `distribute-lft-neg-in_binary64_1740`
95×	`neg-sub0_binary64_1778`
72×	`associate--r-_binary64_1722`
63×	`sqr-pow_binary64_1755`
57×	`distribute-neg-frac_binary64_1747`
46×	`*-rgt-identity_binary64_1773`
44×	`distribute-neg-in_binary64_1744`
39×	`associate-+l-_binary64_1718`
36×	`unsub-neg_binary64_1777`
34×	`/-rgt-identity_binary64_1774`
31×	`distribute-rgt-out_binary64_1736`
29×	`associate--l+_binary64_1720` `+-commutative_binary64_1713`
28×	`log-div_binary64_1870`
27×	`cube-div_binary64_1812` `*-lft-identity_binary64_1772`
25×	`rem-sqrt-square_binary64_1796` `swap-sqr_binary64_1750`
24×	`cube-prod_binary64_1811` `distribute-rgt-out--_binary64_1737`
21×	`unpow3_binary64_1849`
20×	`associate-+l+_binary64_1716`
19×	`cube-unmult_binary64_1820`
18×	`pow-plus_binary64_1846` `associate-+r-_binary64_1717`
17×	`log-prod_binary64_1869`
14×	`sub0-neg_binary64_1770` `distribute-lft-out_binary64_1734` `associate--r+_binary64_1719`
11×	`+-rgt-identity_binary64_1768` `distribute-lft-out--_binary64_1735`
10×	`associate-+r+_binary64_1715`
9×	`cube-mult_binary64_1813`
8×	`--rgt-identity_binary64_1769` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
7×	`exp-prod_binary64_1835` `distribute-lft-neg-out_binary64_1742`
6×	`pow-sqr_binary64_1756` `distribute-neg-out_binary64_1745` `distribute-rgt1-in_binary64_1739`
4×	`log-rec_binary64_1871` `exp-sum_binary64_1829` `remove-double-neg_binary64_1771` `distribute-rgt-neg-out_binary64_1743`
3×	`rem-cbrt-cube_binary64_1807`
2×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `mul-1-neg_binary64_1775` `div0_binary64_1764`
1×	`unpow1_binary64_1841` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-3cbrt-lft_binary64_1808` `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` `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-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-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `+-lft-identity_binary64_1767` `*-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`

Counts

204 → 104

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	220	3806
1	461	3662
2	1099	3662
3	2843	3662
4	3432	3662
5	4728	3662
6	4992	3662
7	4997	3662
8	4914	3662

prune167.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	102	6	108

Error

0.1b

Counts

108 → 6

Compiler

Compiled 3811 to 929 computations (75.6% saved)

regimes486.0ms (3%)

Accuracy

Total 0.0b remaining (36.7%)

Threshold costs 0.0b (36.7%)

Compiler

Compiled 5616 to 3479 computations (38.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_1714`
1×	`+-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` `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` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `sub-neg_binary64_1776` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `cancel-sign-sub-inv_binary64_1749` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742` `distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	50
1	25	50
2	25	50

end0.0ms (0%)

sample4.8s (29.1%)

Algorithm

1×

intervals

Results

1.7s	1958×	body	1024	valid
826.0ms	1055×	body	512	valid
795.0ms	4491×	body	128	valid
189.0ms	486×	body	256	valid
21.0ms	10×	body	2048	valid

Compiler

Compiled 1159 to 719 computations (38% saved)

Details

analyze2.1s (12.6%)

sample132.0ms (0.8%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize27.0ms (0.2%)

rewrite304.0ms (1.9%)

series1.4s (8.5%)

simplify210.0ms (1.3%)

prune150.0ms (0.9%)

localize27.0ms (0.2%)

rewrite213.0ms (1.3%)

series2.0s (12%)

simplify209.0ms (1.3%)

prune125.0ms (0.8%)

localize26.0ms (0.2%)

rewrite309.0ms (1.9%)

series1.4s (8.4%)

simplify202.0ms (1.2%)

prune178.0ms (1.1%)

localize24.0ms (0.1%)

rewrite335.0ms (2%)

series1.4s (8.6%)

simplify271.0ms (1.7%)

prune167.0ms (1%)

regimes486.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.8s (29.1%)

Profiling