Details

analyze1.4s (15.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

544×	`associate-l_binary64_1724`
504×	`pow-sqr_binary64_1756`
440×	`sqr-pow_binary64_1755`
390×	`associate-r_binary64_1723`
288×	`unswap-sqr_binary64_1751`
269×	`associate-/l*_binary64_1728`
264×	`unpow3_binary64_1849`
260×	`cube-prod_binary64_1811`
248×	`associate-/r*_binary64_1727`
244×	`associate-*l/_binary64_1726`
189×	`associate-/r/_binary64_1729`
148×	`associate-/l/_binary64_1730`
134×	`*-commutative_binary64_1714`
124×	`cube-mult_binary64_1813`
120×	`associate-*r/_binary64_1725`
64×	`pow-plus_binary64_1846`
36×	`rem-sqrt-square_binary64_1796`
30×	`swap-sqr_binary64_1750`
18×	`+-commutative_binary64_1713`
16×	`unpow2_binary64_1848` `unpow1_binary64_1841` `cube-unmult_binary64_1820`
12×	`unpow1/2_binary64_1847`
9×	`associate-+l+_binary64_1716` `associate-+r+_binary64_1715`
6×	`/-rgt-identity_binary64_1774` `distribute-rgt-out_binary64_1736`
3×	`*-lft-identity_binary64_1772`
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` `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` `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_1773` `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` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `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-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_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	71	76
2	153	76
3	314	76
4	768	76
5	2179	76
6	2713	76
7	2746	76
8	2979	76
9	3418	76
10	4245	76
11	4995	76
12	5045	76
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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample49.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
9.0ms	97×	body	128	invalid
3.0ms	57×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

624×	`*-commutative_binary64_1714`
613×	`associate-l_binary64_1724`
532×	`sqr-pow_binary64_1755`
394×	`associate-*r/_binary64_1725`
357×	`unswap-sqr_binary64_1751`
330×	`cube-prod_binary64_1811`
317×	`pow-sqr_binary64_1756`
262×	`associate-*l/_binary64_1726`
258×	`associate-/r*_binary64_1727`
253×	`associate-/l*_binary64_1728`
227×	`associate-/r/_binary64_1729`
189×	`associate-/l/_binary64_1730`
176×	`unpow3_binary64_1849`
171×	`cube-mult_binary64_1813`
98×	`associate-r_binary64_1723`
48×	`pow-plus_binary64_1846`
34×	`rem-sqrt-square_binary64_1796`
9×	`cube-unmult_binary64_1820`
7×	`*-lft-identity_binary64_1772`
6×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `+-commutative_binary64_1713`
3×	`*-rgt-identity_binary64_1773` `associate-+l+_binary64_1716` `associate-+r+_binary64_1715`
2×	`/-rgt-identity_binary64_1774` `remove-double-div_binary64_1759` `distribute-rgt-out_binary64_1736`
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` `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` `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` `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` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `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-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_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	19
2	50	19
3	94	19
4	214	19
5	580	19
6	1763	19
7	2455	19
8	2523	19
9	2681	19
10	2897	19
11	3244	19
12	3829	19
13	4775	19
14	5019	19

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

2.5b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
2.5b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite125.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

21×	`add-exp-log_binary64_1821`
18×	`add-sqr-sqrt_binary64_1805`
13×	`add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
11×	`add-cube-cbrt_binary64_1818` `associate-r_binary64_1723`
7×	`prod-exp_binary64_1832`
6×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `associate-l_binary64_1724`
4×	`div-exp_binary64_1834` `unswap-sqr_binary64_1751` `unpow-prod-down_binary64_1862`
3×	`cbrt-unprod_binary64_1816` `times-frac_binary64_1789` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/r*_binary64_1727`
2×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-undiv_binary64_1817` `associate-/r/_binary64_1729` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-r/_binary64_1725` `-commutative_binary64_1714` `sqr-pow_binary64_1755` `associate-+r+_binary64_1715`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728` `pow-prod-down_binary64_1854` `distribute-lft-out_binary64_1734` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 86

Calls

4 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.f64 a (pow.f64 k m))
4.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

Compiler

Compiled 1783 to 956 computations (46.4% saved)

series956.0ms (11.1%)

Error

2.5b

Counts

4 → 42

Calls

4 calls:

470.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
299.0ms	(*.f64 a (pow.f64 k m))
85.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))
58.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1957 to 1449 computations (26% saved)

simplify132.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

509×	`distribute-rgt-in_binary64_1733`
498×	`distribute-lft-in_binary64_1732`
275×	`associate-/l/_binary64_1730`
269×	`associate-/r/_binary64_1729`
174×	`associate-l_binary64_1724`
169×	`associate-r_binary64_1723`
120×	`associate-/l*_binary64_1728`
107×	`exp-prod_binary64_1835` `cancel-sign-sub-inv_binary64_1749`
95×	`*-commutative_binary64_1714`
86×	`distribute-rgt-neg-in_binary64_1741`
82×	`unswap-sqr_binary64_1751`
74×	`log-prod_binary64_1869`
71×	`distribute-lft-neg-in_binary64_1740`
68×	`sqr-pow_binary64_1755`
56×	`times-frac_binary64_1789`
55×	`sub-neg_binary64_1776`
47×	`log-div_binary64_1870`
46×	`associate-*l/_binary64_1726`
43×	`-rgt-identity_binary64_1773` `associate-/r_binary64_1727`
39×	`+-commutative_binary64_1713`
37×	`distribute-neg-in_binary64_1744`
34×	`*-lft-identity_binary64_1772`
33×	`associate-*r/_binary64_1725`
32×	`log-pow_binary64_1872` `distribute-rgt-out_binary64_1736`
28×	`neg-sub0_binary64_1778`
26×	`neg-mul-1_binary64_1779`
24×	`cube-prod_binary64_1811` `distribute-neg-frac_binary64_1747`
22×	`associate-+l+_binary64_1716`
21×	`unpow3_binary64_1849`
19×	`exp-sum_binary64_1829` `/-rgt-identity_binary64_1774`
17×	`associate-+r+_binary64_1715`
15×	`pow-sqr_binary64_1756` `distribute-rgt-out--_binary64_1737` `distribute-lft-out_binary64_1734`
14×	`distribute-lft-neg-out_binary64_1742`
13×	`cube-div_binary64_1812`
11×	`log-rec_binary64_1871` `swap-sqr_binary64_1750`
10×	`pow-plus_binary64_1846`
9×	`distribute-rgt-neg-out_binary64_1743` `distribute-rgt1-in_binary64_1739` `associate--r+_binary64_1719`
7×	`exp-to-pow_binary64_1845` `cube-unmult_binary64_1820` `div-sub_binary64_1788` `associate--l+_binary64_1720`
6×	`unpow1/2_binary64_1847` `unsub-neg_binary64_1777`
4×	`pow-base-1_binary64_1843` `exp-neg_binary64_1830` `cube-mult_binary64_1813`
3×	`unpow2_binary64_1848` `unpow1_binary64_1841`
2×	`rem-sqrt-square_binary64_1796` `mul-1-neg_binary64_1775` `remove-double-neg_binary64_1771`
1×	`prod-exp_binary64_1832` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `+-inverses_binary64_1762` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `distribute-frac-neg_binary64_1746` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`
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` `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` `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` `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` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `cancel-sign-sub_binary64_1748` `distribute-neg-out_binary64_1745` `associate--l-_binary64_1721`

Counts

128 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	2172
1	518	2008
2	1917	1952
3	4819	1932
4	4979	1932
5	4954	1932

prune78.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Error

2.5b

Counts

74 → 5

Compiler

Compiled 1355 to 723 computations (46.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
17.1b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
17.1b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite193.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

27×	`add-exp-log_binary64_1821`
16×	`add-sqr-sqrt_binary64_1805`
15×	`add-cbrt-cube_binary64_1819`
14×	`*-un-lft-identity_binary64_1783`
12×	`add-cube-cbrt_binary64_1818` `sqrt-prod_binary64_1799`
10×	`div-exp_binary64_1834`
8×	`pow1_binary64_1844`
7×	`prod-exp_binary64_1832`
6×	`sqrt-div_binary64_1800` `times-frac_binary64_1789` `associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `flip3-+_binary64_1786` `flip-+_binary64_1757` `cbrt-undiv_binary64_1817` `associate-r_binary64_1723`
3×	`cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `associate-/r/_binary64_1729` `associate-*r/_binary64_1725`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-l/_binary64_1726` `associate-/l/_binary64_1730` `associate-/l_binary64_1728` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734` `*-commutative_binary64_1714`

Counts

4 → 89

Calls

4 calls:

13.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
6.0ms	(*.f64 k (+.f64 k 10))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2968 to 2040 computations (31.3% saved)

series628.0ms (7.3%)

Error

2.5b

Counts

4 → 35

Calls

4 calls:

448.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
65.0ms	(*.f64 k (+.f64 k 10))
37.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
35.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 1993 to 1519 computations (23.8% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-/r*_binary64_1727`
473×	`associate-/l/_binary64_1730`
371×	`distribute-rgt-in_binary64_1733`
370×	`distribute-lft-in_binary64_1732`
300×	`associate-/r/_binary64_1729`
128×	`associate-l_binary64_1724`
127×	`associate-r_binary64_1723`
110×	`associate-/l*_binary64_1728`
105×	`cancel-sign-sub-inv_binary64_1749`
93×	`times-frac_binary64_1789`
91×	`*-commutative_binary64_1714`
84×	`distribute-rgt-neg-in_binary64_1741`
82×	`unswap-sqr_binary64_1751`
71×	`distribute-lft-neg-in_binary64_1740`
70×	`sub-neg_binary64_1776`
63×	`associate-*l/_binary64_1726`
51×	`sqr-pow_binary64_1755` `associate-*r/_binary64_1725`
38×	`exp-prod_binary64_1835`
37×	`+-commutative_binary64_1713`
32×	`distribute-neg-in_binary64_1744`
31×	`log-div_binary64_1870` `neg-sub0_binary64_1778`
28×	`neg-mul-1_binary64_1779`
24×	`log-prod_binary64_1869`
23×	`*-rgt-identity_binary64_1773`
22×	`distribute-neg-frac_binary64_1747`
20×	`cube-prod_binary64_1811`
17×	`cube-div_binary64_1812`
16×	`*-lft-identity_binary64_1772`
15×	`associate-+l+_binary64_1716`
14×	`swap-sqr_binary64_1750` `distribute-lft-neg-out_binary64_1742` `distribute-rgt-out--_binary64_1737`
11×	`associate-+r+_binary64_1715`
10×	`distribute-rgt-neg-out_binary64_1743` `distribute-rgt1-in_binary64_1739` `associate--r+_binary64_1719`
9×	`exp-sum_binary64_1829` `pow-sqr_binary64_1756` `associate--l+_binary64_1720`
8×	`distribute-rgt-out_binary64_1736`
7×	`cube-unmult_binary64_1820`
5×	`unpow3_binary64_1849` `associate-+l-_binary64_1718`
4×	`log-pow_binary64_1872` `pow-plus_binary64_1846` `exp-neg_binary64_1830` `cube-mult_binary64_1813`
3×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `rem-sqrt-square_binary64_1796` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `associate-+r-_binary64_1717`
2×	`log-rec_binary64_1871` `exp-to-pow_binary64_1845` `div-sub_binary64_1788` `remove-double-neg_binary64_1771`
1×	`exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-square-sqrt_binary64_1795` `+-rgt-identity_binary64_1768` `+-inverses_binary64_1762` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `distribute-frac-neg_binary64_1746` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721`
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` `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` `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` `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_1763` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `cancel-sign-sub_binary64_1748` `distribute-neg-out_binary64_1745` `distribute-lft-out_binary64_1734`

Counts

124 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2993
1	519	2399
2	1808	2354
3	5264	2354

prune109.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Error

2.5b

Counts

87 → 5

Compiler

Compiled 2044 to 1288 computations (37% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 k (+.f64 k 10))
0.3b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
2.2b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite203.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

49×	`add-sqr-sqrt_binary64_1805`
45×	`times-frac_binary64_1789`
39×	`*-un-lft-identity_binary64_1783`
37×	`add-cube-cbrt_binary64_1818`
31×	`associate-r_binary64_1723`
22×	`unpow-prod-down_binary64_1862`
21×	`add-exp-log_binary64_1821`
13×	`add-cbrt-cube_binary64_1819`
8×	`pow1_binary64_1844` `sqr-pow_binary64_1755`
7×	`associate-/l*_binary64_1728`
6×	`div-exp_binary64_1834` `add-log-exp_binary64_1822` `associate-l_binary64_1724`
5×	`prod-exp_binary64_1832` `unswap-sqr_binary64_1751`
4×	`flip3-+_binary64_1786` `associate-/r/_binary64_1729` `flip-+_binary64_1757`
3×	`cbrt-unprod_binary64_1816` `associate-r/_binary64_1725` `associate-/r_binary64_1727`
2×	`pow-prod-down_binary64_1854` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-+r+_binary64_1715`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `distribute-lft-out_binary64_1734` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 133

Calls

4 calls:

13.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
7.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
7.0ms	(*.f64 k (+.f64 k 10))
4.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

Compiler

Compiled 3254 to 1928 computations (40.7% saved)

series849.0ms (9.9%)

Error

2.5b

Counts

4 → 42

Calls

4 calls:

458.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
198.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
87.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))
58.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2197 to 1682 computations (23.4% saved)

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

509×	`distribute-rgt-in_binary64_1733`
498×	`distribute-lft-in_binary64_1732`
395×	`associate-/l/_binary64_1730`
208×	`associate-l_binary64_1724` `associate-r_binary64_1723`
146×	`associate-/l*_binary64_1728`
133×	`cancel-sign-sub-inv_binary64_1749`
127×	`*-commutative_binary64_1714`
107×	`distribute-rgt-neg-in_binary64_1741`
92×	`associate-*r/_binary64_1725`
91×	`distribute-lft-neg-in_binary64_1740`
84×	`associate-*l/_binary64_1726`
78×	`unswap-sqr_binary64_1751`
73×	`sqr-pow_binary64_1755`
57×	`sub-neg_binary64_1776` `associate-/r*_binary64_1727`
54×	`*-rgt-identity_binary64_1773`
50×	`*-lft-identity_binary64_1772` `+-commutative_binary64_1713`
48×	`times-frac_binary64_1789`
43×	`exp-prod_binary64_1835`
37×	`distribute-neg-in_binary64_1744`
32×	`log-prod_binary64_1869` `neg-sub0_binary64_1778`
31×	`distribute-neg-frac_binary64_1747`
30×	`neg-mul-1_binary64_1779`
22×	`cube-prod_binary64_1811`
21×	`log-div_binary64_1870`
20×	`associate-/r/_binary64_1729` `associate-+l+_binary64_1716`
19×	`exp-sum_binary64_1829` `/-rgt-identity_binary64_1774`
18×	`associate-+r+_binary64_1715`
17×	`pow-sqr_binary64_1756` `distribute-rgt-out--_binary64_1737`
15×	`distribute-rgt-out_binary64_1736`
13×	`distribute-lft-neg-out_binary64_1742`
11×	`swap-sqr_binary64_1750`
9×	`cube-div_binary64_1812` `distribute-rgt-neg-out_binary64_1743` `associate--r+_binary64_1719`
7×	`pow-plus_binary64_1846` `cube-unmult_binary64_1820` `distribute-rgt1-in_binary64_1739`
6×	`div-sub_binary64_1788` `unsub-neg_binary64_1777` `associate--l+_binary64_1720`
5×	`log-pow_binary64_1872` `unpow3_binary64_1849`
4×	`exp-neg_binary64_1830` `cube-mult_binary64_1813`
3×	`log-rec_binary64_1871` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-base-1_binary64_1843` `unpow1_binary64_1841` `associate-+r-_binary64_1717`
2×	`exp-to-pow_binary64_1845` `rem-sqrt-square_binary64_1796` `mul-1-neg_binary64_1775` `remove-double-neg_binary64_1771` `associate-+l-_binary64_1718`
1×	`prod-exp_binary64_1832` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `+-inverses_binary64_1762` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `distribute-frac-neg_binary64_1746` `distribute-lft-out--_binary64_1735` `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` `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` `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` `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` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `cancel-sign-sub_binary64_1748` `distribute-neg-out_binary64_1745` `distribute-lft1-in_binary64_1738` `distribute-lft-out_binary64_1734` `associate--l-_binary64_1721`

Counts

175 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	4099
1	656	3893
2	2299	3809
3	4959	3809

prune105.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Error

2.5b

Counts

108 → 5

Compiler

Compiled 2024 to 1126 computations (44.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))

rewrite67.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

17×	`add-exp-log_binary64_1821`
12×	`add-sqr-sqrt_binary64_1805`
9×	`add-cbrt-cube_binary64_1819`
7×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-r*_binary64_1723`
6×	`prod-exp_binary64_1832`
4×	`div-exp_binary64_1834` `unpow-prod-down_binary64_1862`
3×	`times-frac_binary64_1789` `associate-/r_binary64_1727` `unswap-sqr_binary64_1751` `associate-l*_binary64_1724`
2×	`pow1_binary64_1844` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816` `associate-/r/_binary64_1729` `sqr-pow_binary64_1755`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l_binary64_1728` `-commutative_binary64_1714`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
6.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 936 to 497 computations (46.9% saved)

series690.0ms (8%)

Error

2.5b

Counts

2 → 26

Calls

2 calls:

354.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
310.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 1173 to 888 computations (24.3% saved)

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

363×	`associate-/r*_binary64_1727`
357×	`*-commutative_binary64_1714`
322×	`associate-*l/_binary64_1726`
252×	`associate-/l/_binary64_1730`
250×	`associate-/r/_binary64_1729`
249×	`associate-*r/_binary64_1725`
170×	`unswap-sqr_binary64_1751`
154×	`exp-prod_binary64_1835`
130×	`associate-r_binary64_1723`
126×	`cancel-sign-sub-inv_binary64_1749`
124×	`log-prod_binary64_1869`
122×	`sqr-pow_binary64_1755` `associate-l_binary64_1724`
112×	`associate-/l*_binary64_1728`
102×	`log-div_binary64_1870`
90×	`*-rgt-identity_binary64_1773`
85×	`distribute-neg-frac_binary64_1747`
84×	`sub-neg_binary64_1776`
72×	`associate-+l+_binary64_1716`
65×	`cube-prod_binary64_1811`
62×	`distribute-rgt-neg-in_binary64_1741`
59×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
57×	`distribute-lft-neg-in_binary64_1740`
55×	`cube-div_binary64_1812`
54×	`*-lft-identity_binary64_1772`
52×	`div-sub_binary64_1788`
50×	`distribute-rgt-in_binary64_1733`
46×	`associate-+r+_binary64_1715` `+-commutative_binary64_1713`
45×	`unpow3_binary64_1849`
43×	`times-frac_binary64_1789`
40×	`unsub-neg_binary64_1777` `distribute-lft-in_binary64_1732`
38×	`log-pow_binary64_1872`
35×	`exp-sum_binary64_1829`
33×	`pow-sqr_binary64_1756`
31×	`swap-sqr_binary64_1750`
28×	`/-rgt-identity_binary64_1774`
21×	`distribute-rgt-out_binary64_1736`
17×	`log-rec_binary64_1871` `exp-to-pow_binary64_1845`
16×	`exp-diff_binary64_1831`
15×	`distribute-lft-out_binary64_1734`
14×	`associate--l+_binary64_1720` `associate-+l-_binary64_1718`
13×	`pow-plus_binary64_1846` `cube-mult_binary64_1813`
12×	`associate-+r-_binary64_1717`
11×	`cube-unmult_binary64_1820`
9×	`distribute-lft-neg-out_binary64_1742`
8×	`exp-neg_binary64_1830`
7×	`+-rgt-identity_binary64_1768`
6×	`associate--l-_binary64_1721`
5×	`unpow1/2_binary64_1847` `pow-base-1_binary64_1843` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743` `distribute-rgt1-in_binary64_1739` `distribute-rgt-out--_binary64_1737`
4×	`rem-exp-log_binary64_1823` `rem-sqrt-square_binary64_1796` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770`
3×	`unpow2_binary64_1848` `unpow1_binary64_1841` `sqr-neg_binary64_1797` `associate--r-_binary64_1722` `associate--r+_binary64_1719`
2×	`mul-1-neg_binary64_1775` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `+-inverses_binary64_1762`
1×	`exp-lft-sqr_binary64_1838` `exp-sqrt_binary64_1836` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `div0_binary64_1764` `difference-of-sqr-1_binary64_1753` `distribute-frac-neg_binary64_1746` `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` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow0_binary64_1842` `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-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` `--rgt-identity_binary64_1769` `+-lft-identity_binary64_1767` `*-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-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-neg-out_binary64_1745` `distribute-lft-out--_binary64_1735`

Counts

76 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1412
1	401	1287
2	1438	1240
3	3669	1231
4	4728	1231
5	4928	1231

prune48.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	49	6	55

Error

2.5b

Counts

55 → 6

Compiler

Compiled 836 to 472 computations (43.5% saved)

regimes291.0ms (3.4%)

Accuracy

Total 0.0b remaining (2.5%)

Threshold costs 0.0b (2.5%)

Compiler

Compiled 2420 to 2074 computations (14.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_1714` `+-commutative_binary64_1713`
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` `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` `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	12	19
1	18	19
2	17	19

end0.0ms (0%)

sample2.2s (25.8%)

Algorithm

1×

intervals

Results

586.0ms	8000×	body	128	valid
314.0ms	3257×	body	128	invalid
119.0ms	2077×	body	128	nan

Compiler

Compiled 625 to 535 computations (14.4% saved)

Details

analyze1.4s (15.9%)

sample49.0ms (0.6%)

simplify123.0ms (1.4%)

prune4.0ms (0.1%)

localize11.0ms (0.1%)

rewrite125.0ms (1.5%)

series956.0ms (11.1%)

simplify132.0ms (1.5%)

prune78.0ms (0.9%)

localize14.0ms (0.2%)

rewrite193.0ms (2.3%)

series628.0ms (7.3%)

simplify87.0ms (1%)

prune109.0ms (1.3%)

localize11.0ms (0.1%)

rewrite203.0ms (2.4%)

series849.0ms (9.9%)

simplify118.0ms (1.4%)

prune105.0ms (1.2%)

localize10.0ms (0.1%)

rewrite67.0ms (0.8%)

series690.0ms (8%)

simplify103.0ms (1.2%)

prune48.0ms (0.6%)

regimes291.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (25.8%)

Profiling