Details

analyze286.0ms (10.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

582×	`unsub-neg_binary64_1777`
528×	`sub-neg_binary64_1776`
494×	`associate-l_binary64_1724`
478×	`distribute-rgt-neg-in_binary64_1741`
340×	`distribute-lft-neg-in_binary64_1740`
336×	`sqr-pow_binary64_1755`
328×	`associate-r_binary64_1723`
324×	`neg-sub0_binary64_1778`
316×	`neg-mul-1_binary64_1779`
200×	`associate--r+_binary64_1719`
186×	`cancel-sign-sub-inv_binary64_1749`
184×	`distribute-rgt-out--_binary64_1737`
166×	`distribute-lft-out--_binary64_1735`
164×	`unswap-sqr_binary64_1751`
156×	`distribute-rgt-in_binary64_1733`
154×	`cube-prod_binary64_1811` `distribute-lft-neg-out_binary64_1742`
152×	`distribute-neg-in_binary64_1744` `distribute-rgt-out_binary64_1736`
148×	`+-commutative_binary64_1713`
130×	`associate--r-_binary64_1722`
128×	`distribute-rgt-neg-out_binary64_1743`
122×	`distribute-lft-out_binary64_1734`
120×	`remove-double-neg_binary64_1771`
118×	`distribute-lft-in_binary64_1732`
110×	`*-commutative_binary64_1714`
100×	`pow-sqr_binary64_1756`
96×	`associate-+r-_binary64_1717`
92×	`associate--l+_binary64_1720`
70×	`associate-+l-_binary64_1718`
62×	`--rgt-identity_binary64_1769` `associate--l-_binary64_1721`
58×	`pow-plus_binary64_1846`
54×	`unpow3_binary64_1849`
50×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `cancel-sign-sub_binary64_1748` `distribute-neg-out_binary64_1745`
44×	`cube-mult_binary64_1813` `swap-sqr_binary64_1750`
38×	`sub0-neg_binary64_1770`
32×	`+-lft-identity_binary64_1767`
24×	`+-rgt-identity_binary64_1768` `associate-+r+_binary64_1715`
20×	`unpow2_binary64_1848`
14×	`cube-unmult_binary64_1820` `rem-sqrt-square_binary64_1796` `*-lft-identity_binary64_1772` `associate-+l+_binary64_1716`
12×	`unpow1_binary64_1841` `sqr-neg_binary64_1797`
10×	`unpow1/2_binary64_1847` `cube-neg_binary64_1810`
8×	`mul-1-neg_binary64_1775`
2×	`*-rgt-identity_binary64_1773`
1×	`1-exp_binary64_1827`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `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` `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-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-square-sqrt_binary64_1795` `times-frac_binary64_1789` `div-sub_binary64_1788` `/-rgt-identity_binary64_1774` `div0_binary64_1764` `-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `count-2_binary64_1731` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-*r/_binary64_1725`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	41	44
2	108	44
3	222	44
4	585	44
5	1746	44
6	3413	44
7	3731	44
8	4413	44
9	4435	44
10	4735	44
11	4845	44
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample24.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify131.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

940×	`distribute-rgt-neg-in_binary64_1741`
625×	`unswap-sqr_binary64_1751`
442×	`sqr-pow_binary64_1755`
441×	`cancel-sign-sub-inv_binary64_1749`
414×	`unsub-neg_binary64_1777`
269×	`associate-l_binary64_1724`
231×	`sub-neg_binary64_1776`
221×	`distribute-lft-neg-in_binary64_1740`
217×	`*-commutative_binary64_1714`
189×	`neg-sub0_binary64_1778`
186×	`associate-r_binary64_1723`
183×	`neg-mul-1_binary64_1779`
180×	`distribute-rgt-in_binary64_1733`
168×	`cube-prod_binary64_1811`
155×	`pow-sqr_binary64_1756`
130×	`associate--r+_binary64_1719`
117×	`distribute-lft-in_binary64_1732`
100×	`distribute-lft-neg-out_binary64_1742`
91×	`distribute-neg-in_binary64_1744`
90×	`distribute-rgt-neg-out_binary64_1743`
79×	`pow-plus_binary64_1846`
76×	`unpow3_binary64_1849`
74×	`distribute-rgt-out--_binary64_1737`
73×	`+-commutative_binary64_1713`
70×	`remove-double-neg_binary64_1771`
65×	`cube-mult_binary64_1813`
58×	`distribute-rgt-out_binary64_1736`
53×	`associate-+l-_binary64_1718`
50×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
40×	`swap-sqr_binary64_1750` `distribute-lft-out--_binary64_1735` `associate--r-_binary64_1722`
37×	`sub0-neg_binary64_1770`
36×	`rem-sqrt-square_binary64_1796` `--rgt-identity_binary64_1769`
31×	`cancel-sign-sub_binary64_1748`
30×	`distribute-lft-out_binary64_1734`
28×	`associate--l+_binary64_1720`
21×	`associate-+l+_binary64_1716`
19×	`associate-+r+_binary64_1715`
17×	`+-lft-identity_binary64_1767` `associate--l-_binary64_1721`
16×	`unpow2_binary64_1848`
15×	`sqr-neg_binary64_1797` `associate-+r-_binary64_1717`
14×	`unpow1_binary64_1841` `*-lft-identity_binary64_1772` `+-rgt-identity_binary64_1768` `distribute-neg-out_binary64_1745`
13×	`cube-unmult_binary64_1820`
12×	`unpow1/2_binary64_1847`
11×	`cube-neg_binary64_1810`
8×	`*-rgt-identity_binary64_1773`
1×	`1-exp_binary64_1827`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `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` `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-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-square-sqrt_binary64_1795` `times-frac_binary64_1789` `div-sub_binary64_1788` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `div0_binary64_1764` `-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `count-2_binary64_1731` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-*r/_binary64_1725`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	22
2	67	22
3	131	22
4	340	22
5	1006	22
6	1753	22
7	3299	22
8	3144	22
9	3473	22
10	3735	22
11	4129	22
12	5255	22

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

52.0b

Counts

1 → 1

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

23.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

7×	`cancel-sign-sub-inv_binary64_1749`
3×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783` `unpow-prod-down_binary64_1862`
1×	`diff-log_binary64_1875` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `sqr-pow_binary64_1755`

Counts

1 → 18

Calls

1 calls:

6.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 445 to 328 computations (26.3% saved)

series314.0ms (11.6%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

304.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 402 to 321 computations (20.1% saved)

simplify81.0ms (3%)

Algorithm

1×	egg-herbie

Rules

509×	`unsub-neg_binary64_1777`
421×	`times-frac_binary64_1789`
357×	`distribute-rgt-in_binary64_1733`
328×	`associate-l_binary64_1724`
309×	`distribute-lft-in_binary64_1732`
302×	`associate-r_binary64_1723`
284×	`exp-prod_binary64_1835`
239×	`unswap-sqr_binary64_1751`
198×	`sqr-pow_binary64_1755`
188×	`neg-sub0_binary64_1778`
187×	`neg-mul-1_binary64_1779`
158×	`cancel-sign-sub-inv_binary64_1749`
152×	`cube-prod_binary64_1811`
90×	`distribute-lft-neg-out_binary64_1742`
76×	`distribute-rgt-neg-in_binary64_1741`
75×	`distribute-rgt-neg-out_binary64_1743`
70×	`distribute-lft-neg-in_binary64_1740`
64×	`*-commutative_binary64_1714`
62×	`unpow3_binary64_1849`
60×	`sub-neg_binary64_1776`
59×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
54×	`exp-sum_binary64_1829` `distribute-lft-out_binary64_1734`
50×	`pow-plus_binary64_1846`
49×	`distribute-rgt-out_binary64_1736`
48×	`pow-sqr_binary64_1756`
44×	`cube-mult_binary64_1813`
32×	`swap-sqr_binary64_1750`
30×	`exp-diff_binary64_1831`
28×	`associate-+r+_binary64_1715`
27×	`cube-unmult_binary64_1820`
24×	`rem-sqrt-square_binary64_1796`
23×	`associate-+l+_binary64_1716`
21×	`+-commutative_binary64_1713`
18×	`difference-of-squares_binary64_1752`
11×	`associate-/l*_binary64_1728`
10×	`sqr-neg_binary64_1797` `sub0-neg_binary64_1770`
9×	`unpow2_binary64_1848` `associate-+l-_binary64_1718`
8×	`div-sub_binary64_1788` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767`
7×	`mul-1-neg_binary64_1775`
5×	`unpow1/2_binary64_1847` `unpow1_binary64_1841` `--rgt-identity_binary64_1769` `associate-+r-_binary64_1717`
4×	`exp-neg_binary64_1830` `associate-/r*_binary64_1727`
3×	`associate-*r/_binary64_1725`
2×	`cube-neg_binary64_1810` `rem-square-sqrt_binary64_1795` `distribute-neg-in_binary64_1744` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate--r+_binary64_1719`
1×	`log-prod_binary64_1869` `div-exp_binary64_1834` `1-exp_binary64_1827` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `*-rgt-identity_binary64_1773` `remove-double-neg_binary64_1771`
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` `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` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `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-div_binary64_1812` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `/-rgt-identity_binary64_1774` `-lft-identity_binary64_1772` `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` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate-*l/_binary64_1726` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720`

Counts

30 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	415
1	147	376
2	371	376
3	1416	376
4	3560	370
5	4443	370
6	5269	370

prune17.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Error

52.0b

Counts

15 → 1

Compiler

Compiled 255 to 183 computations (28.2% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite94.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

12×	`cbrt-prod_binary64_1814`
7×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783` `cancel-sign-sub-inv_binary64_1749`
6×	`unpow-prod-down_binary64_1862`
4×	`add-log-exp_binary64_1822`
3×	`cube-prod_binary64_1811`
2×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `flip--_binary64_1758` `sqr-pow_binary64_1755` `cube-div_binary64_1812` `cbrt-div_binary64_1815`
1×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `pow1/3_binary64_1865` `unpow3_binary64_1849` `cube-mult_binary64_1813` `rem-cbrt-cube_binary64_1807`

Counts

2 → 41

Calls

2 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 1243 to 963 computations (22.5% saved)

series642.0ms (23.7%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

315.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
306.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 894 to 729 computations (18.5% saved)

simplify73.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

790×	`unswap-sqr_binary64_1751`
632×	`associate-l_binary64_1724`
601×	`associate-r_binary64_1723`
222×	`swap-sqr_binary64_1750`
196×	`distribute-lft-in_binary64_1732`
195×	`distribute-rgt-in_binary64_1733`
130×	`sqr-pow_binary64_1755`
101×	`*-commutative_binary64_1714`
81×	`exp-prod_binary64_1835`
62×	`cube-prod_binary64_1811`
41×	`unsub-neg_binary64_1777`
35×	`neg-sub0_binary64_1778`
29×	`sub-neg_binary64_1776`
28×	`neg-mul-1_binary64_1779` `cancel-sign-sub-inv_binary64_1749`
27×	`pow-plus_binary64_1846`
25×	`unpow3_binary64_1849`
24×	`cube-unmult_binary64_1820`
23×	`distribute-rgt-neg-in_binary64_1741`
22×	`exp-sum_binary64_1829` `pow-sqr_binary64_1756`
20×	`distribute-lft-neg-in_binary64_1740`
18×	`difference-of-squares_binary64_1752` `distribute-lft-neg-out_binary64_1742`
17×	`cube-mult_binary64_1813`
15×	`+-commutative_binary64_1713`
12×	`rem-sqrt-square_binary64_1796` `distribute-rgt-neg-out_binary64_1743`
11×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `distribute-rgt-out_binary64_1736`
9×	`log-prod_binary64_1869`
8×	`rem-cbrt-cube_binary64_1807` `associate-+l+_binary64_1716`
7×	`exp-diff_binary64_1831` `associate-+r+_binary64_1715`
5×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841`
4×	`mul-1-neg_binary64_1775` `distribute-lft-out_binary64_1734`
3×	`log-pow_binary64_1872` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `sub0-neg_binary64_1770` `+-rgt-identity_binary64_1768` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`
2×	`rem-3cbrt-lft_binary64_1808` `associate-/l*_binary64_1728`
1×	`div-exp_binary64_1834` `exp-neg_binary64_1830` `1-exp_binary64_1827` `rem-3cbrt-rft_binary64_1809` `rem-cube-cbrt_binary64_1806` `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-rec_binary64_1871` `log-div_binary64_1870` `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` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `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-div_binary64_1812` `cube-neg_binary64_1810` `sqr-abs_binary64_1798` `div-sub_binary64_1788` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `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` `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-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719`

Counts

65 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1118
1	207	1024
2	593	1024
3	3047	1024
4	5079	1024

prune50.0ms (1.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	1	37

Error

52.0b

Counts

37 → 1

Compiler

Compiled 808 to 603 computations (25.4% saved)

regimes44.0ms (1.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 395 to 349 computations (11.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_1714`
3×	`+-commutative_binary64_1713`
2×	`sub-neg_binary64_1776`
1×	`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` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `cancel-sign-sub-inv_binary64_1749` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742` `distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	22	54
2	27	54
3	29	54
4	30	54
5	30	54

end0.0ms (0%)

sample889.0ms (32.8%)

Algorithm

1×

intervals

Results

333.0ms	8000×	body	128	valid
151.0ms	8000×	pre	128	true

Compiler

Compiled 127 to 109 computations (14.2% saved)

Details

analyze286.0ms (10.5%)

sample24.0ms (0.9%)

simplify131.0ms (4.8%)

prune2.0ms (0.1%)

localize10.0ms (0.4%)

rewrite34.0ms (1.3%)

series314.0ms (11.6%)

simplify81.0ms (3%)

prune17.0ms (0.6%)

localize12.0ms (0.5%)

rewrite94.0ms (3.5%)

series642.0ms (23.7%)

simplify73.0ms (2.7%)

prune50.0ms (1.9%)

regimes44.0ms (1.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample889.0ms (32.8%)

Profiling