Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify922.0ms (24.3%)

Algorithm

1×	egg-herbie

Rules

1285×	`exp-prod_binary64_1835`
551×	`distribute-rgt-out--_binary64_1737`
523×	`distribute-rgt-out_binary64_1736`
446×	`swap-sqr_binary64_1750`
392×	`exp-diff_binary64_1831`
335×	`distribute-rgt-neg-in_binary64_1741`
279×	`div-sub_binary64_1788`
270×	`exp-sum_binary64_1829`
266×	`sub-neg_binary64_1776`
193×	`associate--r-_binary64_1722`
189×	`unsub-neg_binary64_1777`
181×	`*-commutative_binary64_1714`
180×	`associate-+r-_binary64_1717`
179×	`associate-/r/_binary64_1729`
172×	`cancel-sign-sub-inv_binary64_1749`
155×	`associate--l-_binary64_1721`
143×	`associate-+l-_binary64_1718`
136×	`pow-plus_binary64_1846`
114×	`associate-/l*_binary64_1728`
85×	`+-commutative_binary64_1713`
62×	`distribute-lft-neg-in_binary64_1740`
61×	`distribute-rgt-in_binary64_1733`
54×	`distribute-rgt1-in_binary64_1739`
47×	`distribute-neg-out_binary64_1745`
44×	`neg-mul-1_binary64_1779`
42×	`neg-sub0_binary64_1778`
32×	`distribute-neg-in_binary64_1744`
28×	`distribute-lft-in_binary64_1732`
26×	`distribute-rgt-neg-out_binary64_1743`
25×	`sqr-pow_binary64_1755` `associate-+l+_binary64_1716`
24×	`associate-+r+_binary64_1715`
22×	`distribute-frac-neg_binary64_1746` `distribute-lft-neg-out_binary64_1742`
21×	`associate--r+_binary64_1719`
20×	`associate-r_binary64_1723`
18×	`pow-base-1_binary64_1843` `distribute-neg-frac_binary64_1747`
15×	`+-inverses_binary64_1762` `pow-sqr_binary64_1756` `difference-of-squares_binary64_1752`
13×	`remove-double-neg_binary64_1771` `count-2_binary64_1731`
12×	`distribute-lft1-in_binary64_1738`
10×	`associate--l+_binary64_1720`
9×	`exp-lft-sqr_binary64_1838` `mul0-lft_binary64_1765`
7×	`+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `associate-l_binary64_1724`
6×	`-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `+-rgt-identity_binary64_1768`
5×	`exp-neg_binary64_1830` `cube-unmult_binary64_1820` `sub0-neg_binary64_1770`
4×	`cube-prod_binary64_1811`
3×	`sqr-neg_binary64_1797` `difference-of-sqr--1_binary64_1754` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734`
2×	`exp-sqrt_binary64_1836` `--rgt-identity_binary64_1769` `div0_binary64_1764` `associate-/r_binary64_1727` `associate-l/_binary64_1726`
1×	`unpow3_binary64_1849` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `*-inverses_binary64_1763`
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` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `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` `prod-exp_binary64_1832` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-mult_binary64_1813` `cube-div_binary64_1812` `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-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr-1_binary64_1753` `unswap-sqr_binary64_1751` `cancel-sign-sub_binary64_1748` `associate-/l/_binary64_1730` `associate-*r/_binary64_1725`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	31	25
2	44	25
3	54	25
4	62	25
5	79	25
6	135	25
7	310	25
8	2097	25
9	3448	25

prune2.0ms (0.1%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 17 to 14 computations (17.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
15.0b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite180.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_1805`
17×	`*-un-lft-identity_binary64_1783`
15×	`add-cube-cbrt_binary64_1818`
10×	`times-frac_binary64_1789`
8×	`add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
6×	`pow1_binary64_1844`
4×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-l_binary64_1724` `associate-r_binary64_1723` `cancel-sign-sub-inv_binary64_1749`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-*r/_binary64_1725` `difference-of-squares_binary64_1752`
1×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `*-commutative_binary64_1714` `sum-log_binary64_1874` `+-commutative_binary64_1713` `diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735`

Counts

4 → 81

Calls

4 calls:

15.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 2360 to 1858 computations (21.3% saved)

series317.0ms (8.4%)

Error

Counts

4 → 36

Calls

4 calls:

85.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
77.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
68.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
50.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 1136 to 939 computations (17.3% saved)

simplify260.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

563×	`distribute-rgt-in_binary64_1733`
531×	`distribute-lft-in_binary64_1732`
230×	`associate-*l/_binary64_1726`
226×	`times-frac_binary64_1789`
222×	`cancel-sign-sub-inv_binary64_1749`
151×	`associate-*r/_binary64_1725`
142×	`associate-l_binary64_1724`
123×	`associate-/l_binary64_1728` `associate-r*_binary64_1723`
119×	`associate-/r*_binary64_1727`
110×	`distribute-rgt-neg-in_binary64_1741`
104×	`sub-neg_binary64_1776`
71×	`*-commutative_binary64_1714`
70×	`distribute-lft-neg-in_binary64_1740`
66×	`unswap-sqr_binary64_1751`
55×	`+-commutative_binary64_1713`
53×	`associate-/l/_binary64_1730`
52×	`associate-/r/_binary64_1729`
51×	`sqr-pow_binary64_1755`
48×	`neg-mul-1_binary64_1779`
47×	`neg-sub0_binary64_1778`
46×	`distribute-lft-neg-out_binary64_1742` `associate--l+_binary64_1720`
41×	`exp-prod_binary64_1835`
40×	`distribute-rgt-out_binary64_1736`
38×	`*-rgt-identity_binary64_1773`
36×	`distribute-neg-in_binary64_1744`
26×	`*-lft-identity_binary64_1772` `pow-sqr_binary64_1756`
24×	`distribute-rgt-out--_binary64_1737`
22×	`associate--r+_binary64_1719`
19×	`cube-prod_binary64_1811`
18×	`unsub-neg_binary64_1777`
17×	`div-exp_binary64_1834` `prod-exp_binary64_1832`
16×	`distribute-rgt-neg-out_binary64_1743` `distribute-lft-out_binary64_1734`
15×	`log-prod_binary64_1869` `distribute-neg-frac_binary64_1747`
13×	`swap-sqr_binary64_1750`
11×	`associate-+l+_binary64_1716`
10×	`unpow3_binary64_1849` `distribute-lft-out--_binary64_1735`
9×	`/-rgt-identity_binary64_1774`
8×	`pow-plus_binary64_1846`
7×	`cube-mult_binary64_1813`
6×	`log-div_binary64_1870` `difference-of-squares_binary64_1752` `associate-+r-_binary64_1717`
5×	`log-pow_binary64_1872` `exp-sum_binary64_1829` `cube-div_binary64_1812` `div-sub_binary64_1788`
4×	`rec-exp_binary64_1833` `cube-unmult_binary64_1820` `+-rgt-identity_binary64_1768` `associate-+r+_binary64_1715`
3×	`pow-base-1_binary64_1843` `associate-+l-_binary64_1718`
2×	`exp-diff_binary64_1831` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738`
1×	`log-rec_binary64_1871` `unpow2_binary64_1848` `unpow1_binary64_1841` `exp-sqrt_binary64_1836` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-3cbrt-lft_binary64_1808` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `sub0-neg_binary64_1770` `*-inverses_binary64_1763` `cancel-sign-sub_binary64_1748` `count-2_binary64_1731` `associate--r-_binary64_1722`
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` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `mul-1-neg_binary64_1775` `remove-double-neg_binary64_1771` `--rgt-identity_binary64_1769` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `+-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-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `associate--l-_binary64_1721`

Counts

117 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2617
1	537	2459
2	1705	2426

prune169.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	2	114

Error

Counts

114 → 2

Compiler

Compiled 2661 to 2015 computations (24.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
0.2b	(.f64 x (-.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) 1913600308823862514215888482863/633825300114114700748351602688))
0.3b	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)
9.6b	(-.f64 (.f64 x (-.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) 1913600308823862514215888482863/633825300114114700748351602688)) (*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)))

rewrite168.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_1805`
18×	`associate-r_binary64_1723`
16×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
13×	`add-exp-log_binary64_1821` `cancel-sign-sub-inv_binary64_1749`
10×	`add-cbrt-cube_binary64_1819`
9×	`associate-l_binary64_1724`
8×	`pow1_binary64_1844` `distribute-rgt-in_binary64_1733` `associate--l+_binary64_1720` `distribute-lft-in_binary64_1732`
6×	`add-log-exp_binary64_1822` `unswap-sqr_binary64_1751`
5×	`sub-neg_binary64_1776` `prod-exp_binary64_1832`
4×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
3×	`cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`
2×	`flip3--_binary64_1787` `flip--_binary64_1758` `pow-prod-down_binary64_1854` `associate-*r/_binary64_1725` `sqr-pow_binary64_1755`
1×	`diff-log_binary64_1875` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow3_binary64_1849` `cube-mult_binary64_1813`

Counts

4 → 97

Calls

4 calls:

9.0ms	(-.f64 (.f64 x (-.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) 1913600308823862514215888482863/633825300114114700748351602688)) (*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)))
7.0ms	(.f64 x (-.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) 1913600308823862514215888482863/633825300114114700748351602688))
6.0ms	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
4.0ms	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

Compiler

Compiled 2150 to 1715 computations (20.2% saved)

series221.0ms (5.8%)

Error

Counts

4 → 17

Calls

4 calls:

69.0ms	(.f64 x (-.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) 1913600308823862514215888482863/633825300114114700748351602688))
63.0ms	(-.f64 (.f64 x (-.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) 1913600308823862514215888482863/633825300114114700748351602688)) (*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3)))
49.0ms	(*.f64 92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032 (pow.f64 x 3))
24.0ms	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

Compiler

Compiled 634 to 548 computations (13.6% saved)

simplify380.0ms (10%)

Algorithm

1×	egg-herbie

Rules

465×	`times-frac_binary64_1789`
285×	`unsub-neg_binary64_1777` `*-commutative_binary64_1714`
234×	`exp-prod_binary64_1835`
205×	`distribute-rgt-in_binary64_1733`
201×	`distribute-lft-in_binary64_1732`
198×	`associate-l_binary64_1724`
172×	`associate-r_binary64_1723`
166×	`unswap-sqr_binary64_1751`
122×	`log-prod_binary64_1869`
120×	`distribute-rgt-neg-in_binary64_1741`
112×	`cancel-sign-sub-inv_binary64_1749`
109×	`neg-sub0_binary64_1778`
105×	`distribute-lft-neg-in_binary64_1740`
104×	`cube-prod_binary64_1811`
102×	`neg-mul-1_binary64_1779`
72×	`exp-sum_binary64_1829`
69×	`sqr-pow_binary64_1755`
65×	`associate-*l/_binary64_1726`
59×	`associate-*r/_binary64_1725`
45×	`exp-sqrt_binary64_1836` `distribute-rgt-out_binary64_1736`
42×	`pow-sqr_binary64_1756`
38×	`sub-neg_binary64_1776`
37×	`log-pow_binary64_1872` `distribute-lft-neg-out_binary64_1742`
36×	`exp-diff_binary64_1831`
35×	`pow-plus_binary64_1846` `distribute-rgt-neg-out_binary64_1743`
33×	`cube-div_binary64_1812`
29×	`log-div_binary64_1870` `+-commutative_binary64_1713`
26×	`unpow3_binary64_1849` `swap-sqr_binary64_1750`
24×	`*-lft-identity_binary64_1772`
23×	`associate-+l+_binary64_1716`
21×	`*-rgt-identity_binary64_1773`
20×	`associate-+r+_binary64_1715`
16×	`rem-sqrt-square_binary64_1796`
15×	`distribute-rgt-out--_binary64_1737` `associate-+l-_binary64_1718`
14×	`exp-neg_binary64_1830` `cube-mult_binary64_1813`
13×	`distribute-lft-out_binary64_1734`
12×	`associate-+r-_binary64_1717`
11×	`associate-/l*_binary64_1728`
9×	`cube-unmult_binary64_1820`
6×	`difference-of-squares_binary64_1752`
5×	`pow-base-1_binary64_1843` `distribute-neg-out_binary64_1745` `associate--l+_binary64_1720`
4×	`prod-exp_binary64_1832` `div-sub_binary64_1788` `associate-/l/_binary64_1730`
3×	`+-rgt-identity_binary64_1768`
2×	`sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `count-2_binary64_1731` `associate--r+_binary64_1719`
1×	`unpow2_binary64_1848` `unpow1_binary64_1841` `exp-lft-sqr_binary64_1838` `div-exp_binary64_1834` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `-inverses_binary64_1763` `distribute-neg-frac_binary64_1747` `distribute-neg-in_binary64_1744` `distribute-lft-out--_binary64_1735` `associate-/r_binary64_1727`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-rec_binary64_1871` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `rec-exp_binary64_1833` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `sqr-abs_binary64_1798` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `associate-/r/_binary64_1729` `associate--r-_binary64_1722` `associate--l-_binary64_1721`

Counts

114 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1467
1	370	1379
2	1160	1373
3	3253	1373

prune146.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Error

Counts

117 → 2

Compiler

Compiled 2386 to 1848 computations (22.5% saved)

regimes89.0ms (2.3%)

Accuracy

Total 0.0b remaining (89.4%)

Threshold costs 0.0b (89.4%)

Compiler

Compiled 802 to 674 computations (16% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_1713`
4×	`*-commutative_binary64_1714`
2×	`sub-neg_binary64_1776`
1×	`1-exp_binary64_1827` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `unpow1_binary64_1841` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `cancel-sign-sub-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	15	25
1	25	25
2	29	25
3	31	25
4	32	25

Proof

(- f64 (/ f64 (+ f64 162377988252285/70368744177664 (* f64 h0 609359547581365/2251799813685248)) (+ f64 1 (* f64 h0 (+ f64 8937753748486939/9007199254740992 (* f64 h0 3228900788839551/72057594037927936))))) h0)

end0.0ms (0%)

sample882.0ms (23.3%)

Algorithm

1×

intervals

Results

310.0ms

8000×

body

128

valid

Compiler

Compiled 418 to 352 computations (15.8% saved)

Details

analyze5.0ms (0.1%)

sample22.0ms (0.6%)

simplify922.0ms (24.3%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite180.0ms (4.7%)

series317.0ms (8.4%)

simplify260.0ms (6.9%)

prune169.0ms (4.4%)

localize12.0ms (0.3%)

rewrite168.0ms (4.4%)

series221.0ms (5.8%)

simplify380.0ms (10%)

prune146.0ms (3.9%)

regimes89.0ms (2.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample882.0ms (23.3%)

Profiling