Details

analyze1.2s (5.7%)

Algorithm

1×

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)

sample44.0ms (0.2%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
9.0ms	103×	body	128	invalid
2.0ms	54×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify263.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

513×	`sqr-pow_binary64_1755`
426×	`pow-sqr_binary64_1756`
284×	`associate-*l/_binary64_1726`
281×	`*-commutative_binary64_1714`
253×	`associate-/r*_binary64_1727`
244×	`associate-/l*_binary64_1728`
214×	`unswap-sqr_binary64_1751`
209×	`associate-/r/_binary64_1729`
200×	`times-frac_binary64_1789`
189×	`cube-prod_binary64_1811`
174×	`associate-/l/_binary64_1730`
172×	`exp-prod_binary64_1835` `associate-*r/_binary64_1725`
130×	`pow-plus_binary64_1846`
120×	`associate-l_binary64_1724`
103×	`swap-sqr_binary64_1750`
76×	`associate-r_binary64_1723`
61×	`distribute-rgt-out_binary64_1736`
50×	`distribute-rgt-in_binary64_1733`
46×	`unpow3_binary64_1849`
45×	`cube-mult_binary64_1813`
37×	`cube-div_binary64_1812`
33×	`difference-of-squares_binary64_1752`
29×	`*-rgt-identity_binary64_1773`
28×	`sub-neg_binary64_1776`
25×	`associate-+l+_binary64_1716`
24×	`*-lft-identity_binary64_1772` `distribute-rgt-out--_binary64_1737`
22×	`distribute-lft-in_binary64_1732`
18×	`+-commutative_binary64_1713`
15×	`distribute-lft-out_binary64_1734`
12×	`div-exp_binary64_1834` `prod-exp_binary64_1832` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `cancel-sign-sub-inv_binary64_1749` `distribute-lft-neg-in_binary64_1740` `distribute-rgt1-in_binary64_1739`
10×	`+-inverses_binary64_1762` `distribute-rgt-neg-in_binary64_1741`
9×	`exp-lft-sqr_binary64_1838` `exp-sum_binary64_1829`
8×	`/-rgt-identity_binary64_1774`
7×	`cube-unmult_binary64_1820` `distribute-lft-out--_binary64_1735`
6×	`exp-sqrt_binary64_1836` `unsub-neg_binary64_1777` `associate-+r+_binary64_1715`
5×	`pow-base-1_binary64_1843`
4×	`rec-exp_binary64_1833` `div-sub_binary64_1788`
3×	`exp-diff_binary64_1831` `--rgt-identity_binary64_1769` `distribute-neg-frac_binary64_1747`
2×	`+-lft-identity_binary64_1767` `mul0-lft_binary64_1765` `*-inverses_binary64_1763` `remove-double-div_binary64_1759` `count-2_binary64_1731`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `remove-double-neg_binary64_1771` `+-rgt-identity_binary64_1768` `div0_binary64_1764` `distribute-neg-in_binary64_1744` `distribute-lft1-in_binary64_1738` `associate--l+_binary64_1720` `associate--r+_binary64_1719`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `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` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `sub0-neg_binary64_1770` `mul0-rgt_binary64_1766` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

1 → 5

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	19
2	50	19
3	93	19
4	205	19
5	571	19
6	1249	19
7	2202	19
8	2153	19
9	2486	19
10	3421	19

prune12.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

3.1b

Counts

6 → 4

Compiler

Compiled 121 to 85 computations (29.8% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k m))
0.0b	(+.f64 (.f64 k 10) (.f64 k k))
3.2b	(/.f64 a (/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k m)))

rewrite443.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

236×	`times-frac_binary64_1789`
190×	`*-un-lft-identity_binary64_1783`
118×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
63×	`unpow-prod-down_binary64_1862`
39×	`associate-/r*_binary64_1727`
37×	`distribute-lft-out_binary64_1734`
21×	`sqr-pow_binary64_1755`
18×	`add-exp-log_binary64_1821`
10×	`div-exp_binary64_1834` `add-cbrt-cube_binary64_1819`
7×	`associate-/l*_binary64_1728`
6×	`div-inv_binary64_1780`
5×	`add-log-exp_binary64_1822`
4×	`cbrt-undiv_binary64_1817`
3×	`pow1_binary64_1844`
2×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l/_binary64_1730`
1×	`associate-/r/_binary64_1729` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

3 → 215

Calls

3 calls:

13.0ms	(/.f64 a (/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k m)))
10.0ms	(/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k m))
4.0ms	(+.f64 (.f64 k 10) (.f64 k k))

Compiler

Compiled 6690 to 3354 computations (49.9% saved)

series975.0ms (4.4%)

Error

3.1b

Counts

3 → 34

Calls

3 calls:

443.0ms	(/.f64 a (/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k m)))
413.0ms	(/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k m))
75.0ms	(+.f64 (.f64 k 10) (.f64 k k))

Compiler

Compiled 1993 to 1428 computations (28.3% saved)

simplify983.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

590×	`cancel-sign-sub-inv_binary64_1749`
328×	`associate-r_binary64_1723`
241×	`associate-/r/_binary64_1729`
226×	`associate-/l/_binary64_1730`
222×	`*-commutative_binary64_1714`
219×	`associate-/l*_binary64_1728`
190×	`associate-l_binary64_1724`
185×	`unswap-sqr_binary64_1751`
175×	`associate-*l/_binary64_1726`
160×	`sub-neg_binary64_1776`
100×	`associate-*r/_binary64_1725`
86×	`sqr-pow_binary64_1755`
74×	`associate-/r*_binary64_1727`
72×	`times-frac_binary64_1789`
70×	`+-commutative_binary64_1713`
68×	`distribute-neg-in_binary64_1744`
66×	`distribute-rgt-in_binary64_1733`
65×	`*-rgt-identity_binary64_1773`
58×	`distribute-lft-in_binary64_1732`
56×	`associate-+r+_binary64_1715`
53×	`exp-prod_binary64_1835`
52×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `/-rgt-identity_binary64_1774` `associate-+l+_binary64_1716`
48×	`associate--r+_binary64_1719`
45×	`pow-sqr_binary64_1756`
40×	`associate--l+_binary64_1720`
32×	`log-prod_binary64_1869` `cube-prod_binary64_1811`
29×	`*-lft-identity_binary64_1772`
28×	`log-div_binary64_1870`
26×	`unsub-neg_binary64_1777`
25×	`distribute-rgt-neg-in_binary64_1741`
23×	`pow-plus_binary64_1846` `div-sub_binary64_1788`
20×	`distribute-lft-neg-in_binary64_1740`
19×	`swap-sqr_binary64_1750` `distribute-neg-frac_binary64_1747`
12×	`cube-div_binary64_1812`
10×	`log-pow_binary64_1872` `cube-unmult_binary64_1820` `distribute-rgt-out_binary64_1736`
7×	`log-rec_binary64_1871` `unpow3_binary64_1849` `exp-sum_binary64_1829` `distribute-lft-out_binary64_1734`
6×	`cube-mult_binary64_1813` `remove-double-div_binary64_1759` `distribute-rgt-out--_binary64_1737`
5×	`prod-exp_binary64_1832` `distribute-neg-out_binary64_1745` `distribute-lft-neg-out_binary64_1742`
4×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
3×	`unpow2_binary64_1848` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow1_binary64_1841` `div-exp_binary64_1834` `remove-double-neg_binary64_1771` `associate--r-_binary64_1722`
2×	`rec-exp_binary64_1833` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `mul-1-neg_binary64_1775` `distribute-frac-neg_binary64_1746` `distribute-rgt-neg-out_binary64_1743` `distribute-rgt1-in_binary64_1739` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`
1×	`exp-sqrt_binary64_1836` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-sqrt-square_binary64_1796` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `difference-of-sqr-1_binary64_1753` `distribute-lft1-in_binary64_1738`
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` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `difference-of-sqr--1_binary64_1754` `cancel-sign-sub_binary64_1748` `count-2_binary64_1731` `associate--l-_binary64_1721`

Counts

249 → 863

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	8223
1	967	7866
2	3944	7826

prune2.2s (9.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	860	3	863
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	862	5	867

Error

3.1b

Counts

867 → 5

Compiler

Compiled 26508 to 13756 computations (48.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.1b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 a (/.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))) (pow.f64 k m))))
15.7b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.7b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite1.2s (5.5%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

379×	`times-frac_binary64_1789`
304×	`add-sqr-sqrt_binary64_1805`
167×	`*-un-lft-identity_binary64_1783`
149×	`add-cube-cbrt_binary64_1818`
147×	`associate-r_binary64_1723`
109×	`sqrt-prod_binary64_1799`
75×	`add-exp-log_binary64_1821`
64×	`unpow-prod-down_binary64_1862`
41×	`unswap-sqr_binary64_1751`
38×	`div-exp_binary64_1834`
28×	`sqr-pow_binary64_1755`
27×	`add-cbrt-cube_binary64_1819` `associate-l_binary64_1724`
21×	`prod-exp_binary64_1832`
10×	`pow1_binary64_1844`
9×	`cbrt-undiv_binary64_1817`
7×	`cbrt-unprod_binary64_1816`
6×	`sqrt-div_binary64_1800`
5×	`1-exp_binary64_1827` `rec-exp_binary64_1833` `div-inv_binary64_1780`
4×	`add-log-exp_binary64_1822` `flip3-+_binary64_1786` `flip-+_binary64_1757` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
3×	`associate-*r/_binary64_1725` `associate-/r/_binary64_1729`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `pow-prod-down_binary64_1854` `*-commutative_binary64_1714`
1×	`frac-times_binary64_1793` `associate-*l/_binary64_1726` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734`

Counts

4 → 298

Calls

4 calls:

83.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 a (/.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))) (pow.f64 k m))))
7.0ms	(*.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 13228 to 8867 computations (33% saved)

series673.0ms (3.1%)

Error

3.1b

Counts

4 → 39

Calls

4 calls:

479.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 a (/.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))) (pow.f64 k m))))
56.0ms	(*.f64 k (+.f64 k 10))
47.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
41.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2184 to 1648 computations (24.5% saved)

simplify1.9s (8.5%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-/l*_binary64_1728`
538×	`associate-*l/_binary64_1726`
510×	`associate-r_binary64_1723`
431×	`associate-/l/_binary64_1730`
414×	`associate-*r/_binary64_1725`
356×	`associate-/r/_binary64_1729`
179×	`*-commutative_binary64_1714`
121×	`times-frac_binary64_1789`
99×	`*-lft-identity_binary64_1772`
81×	`associate-/r*_binary64_1727`
56×	`distribute-rgt-in_binary64_1733`
52×	`distribute-lft-in_binary64_1732`
42×	`cancel-sign-sub-inv_binary64_1749`
34×	`sub-neg_binary64_1776`
33×	`sqr-pow_binary64_1755`
25×	`unswap-sqr_binary64_1751`
20×	`distribute-rgt-neg-in_binary64_1741`
19×	`+-commutative_binary64_1713`
17×	`neg-sub0_binary64_1778` `pow-sqr_binary64_1756`
16×	`log-prod_binary64_1869` `neg-mul-1_binary64_1779`
15×	`exp-prod_binary64_1835` `swap-sqr_binary64_1750`
14×	`associate-l_binary64_1724`
13×	`distribute-lft-neg-in_binary64_1740`
9×	`log-div_binary64_1870`
8×	`/-rgt-identity_binary64_1774` `distribute-neg-in_binary64_1744`
7×	`unpow3_binary64_1849` `cube-unmult_binary64_1820`
6×	`pow-plus_binary64_1846` `cube-mult_binary64_1813` `distribute-lft-neg-out_binary64_1742`
5×	`cube-prod_binary64_1811` `*-rgt-identity_binary64_1773` `remove-double-div_binary64_1759`
4×	`pow-base-1_binary64_1843` `rem-sqrt-square_binary64_1796` `distribute-rgt-out--_binary64_1737` `associate--l+_binary64_1720` `associate-+l-_binary64_1718` `associate-+r+_binary64_1715`
3×	`log-pow_binary64_1872` `log-rec_binary64_1871` `unpow2_binary64_1848` `mul-1-neg_binary64_1775` `difference-of-squares_binary64_1752` `distribute-rgt-out_binary64_1736` `associate-+r-_binary64_1717`
2×	`exp-sum_binary64_1829` `distribute-rgt-neg-out_binary64_1743` `distribute-rgt1-in_binary64_1739` `associate--r-_binary64_1722` `associate--r+_binary64_1719`
1×	`div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `1-exp_binary64_1827` `rem-log-exp_binary64_1824` `rem-cbrt-cube_binary64_1807` `rem-square-sqrt_binary64_1795` `unsub-neg_binary64_1777` `sub0-neg_binary64_1770` `*-inverses_binary64_1763` `distribute-neg-frac_binary64_1747` `distribute-lft-out--_binary64_1735`
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` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-diff_binary64_1831` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-exp-log_binary64_1823` `cube-div_binary64_1812` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `div-sub_binary64_1788` `remove-double-neg_binary64_1771` `--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_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft1-in_binary64_1738` `distribute-lft-out_binary64_1734` `count-2_binary64_1731` `associate--l-_binary64_1721` `associate-+l+_binary64_1716`

Counts

337 → 727

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	13720
1	1524	12093

prune3.6s (16.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	727	0	727
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	727	5	732

Error

3.1b

Counts

732 → 5

Compiler

Compiled 32984 to 21782 computations (34% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.2b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
3.2b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite188.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

48×	`add-sqr-sqrt_binary64_1805`
45×	`times-frac_binary64_1789`
38×	`*-un-lft-identity_binary64_1783`
36×	`add-cube-cbrt_binary64_1818`
31×	`associate-r_binary64_1723`
22×	`unpow-prod-down_binary64_1862`
20×	`add-exp-log_binary64_1821`
12×	`add-cbrt-cube_binary64_1819`
8×	`sqr-pow_binary64_1755`
7×	`pow1_binary64_1844` `associate-/l*_binary64_1728`
6×	`div-exp_binary64_1834` `associate-l_binary64_1724`
5×	`prod-exp_binary64_1832` `unswap-sqr_binary64_1751`
4×	`associate-/r/_binary64_1729`
3×	`add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `associate-r/_binary64_1725` `flip3-+_binary64_1786` `flip-+_binary64_1757` `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`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734`

Counts

3 → 120

Calls

3 calls:

12.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
6.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2980 to 1756 computations (41.1% saved)

series750.0ms (3.4%)

Error

3.1b

Counts

3 → 33

Calls

3 calls:

454.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
200.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
54.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1740 to 1267 computations (27.2% saved)

simplify446.0ms (2%)

Algorithm

1×	egg-herbie

Rules

493×	`distribute-rgt-in_binary64_1733`
468×	`distribute-lft-in_binary64_1732`
426×	`associate-/l/_binary64_1730`
245×	`associate-l_binary64_1724`
242×	`cancel-sign-sub-inv_binary64_1749`
241×	`associate-r_binary64_1723`
139×	`associate-/l*_binary64_1728`
135×	`distribute-rgt-neg-in_binary64_1741`
118×	`*-commutative_binary64_1714`
112×	`distribute-lft-neg-in_binary64_1740`
109×	`unswap-sqr_binary64_1751`
90×	`sqr-pow_binary64_1755`
84×	`associate-*r/_binary64_1725`
82×	`associate-*l/_binary64_1726`
56×	`sub-neg_binary64_1776`
54×	`*-rgt-identity_binary64_1773`
51×	`distribute-rgt-out_binary64_1736`
50×	`*-lft-identity_binary64_1772`
48×	`associate-/r*_binary64_1727`
47×	`pow-sqr_binary64_1756`
46×	`times-frac_binary64_1789`
43×	`exp-prod_binary64_1835` `+-commutative_binary64_1713`
40×	`distribute-neg-in_binary64_1744`
37×	`log-prod_binary64_1869` `distribute-rgt-out--_binary64_1737`
36×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
29×	`associate-/r/_binary64_1729`
28×	`pow-plus_binary64_1846`
26×	`log-div_binary64_1870`
24×	`distribute-lft-neg-out_binary64_1742`
23×	`associate-+l+_binary64_1716`
21×	`/-rgt-identity_binary64_1774`
19×	`associate-+r+_binary64_1715`
17×	`cube-prod_binary64_1811`
15×	`distribute-neg-frac_binary64_1747`
14×	`log-pow_binary64_1872`
13×	`associate--r+_binary64_1719`
12×	`cube-div_binary64_1812` `associate--l+_binary64_1720`
11×	`unsub-neg_binary64_1777` `distribute-lft-out--_binary64_1735`
10×	`swap-sqr_binary64_1750`
9×	`exp-sum_binary64_1829`
8×	`div-sub_binary64_1788`
7×	`unpow3_binary64_1849` `cube-unmult_binary64_1820`
6×	`pow-base-1_binary64_1843` `cube-mult_binary64_1813` `distribute-rgt-neg-out_binary64_1743`
5×	`prod-exp_binary64_1832` `distribute-rgt1-in_binary64_1739`
4×	`log-rec_binary64_1871` `exp-neg_binary64_1830` `difference-of-squares_binary64_1752`
3×	`unpow2_binary64_1848` `unpow1_binary64_1841`
2×	`exp-to-pow_binary64_1845` `mul-1-neg_binary64_1775` `distribute-neg-out_binary64_1745` `distribute-lft-out_binary64_1734` `count-2_binary64_1731` `associate-+r-_binary64_1717`
1×	`exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-sqrt-square_binary64_1796` `remove-double-neg_binary64_1771` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `distribute-frac-neg_binary64_1746` `distribute-lft1-in_binary64_1738` `associate--r-_binary64_1722` `associate-+l-_binary64_1718`
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` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `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` `associate--l-_binary64_1721`

Counts

153 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	3777
1	646	3561
2	2469	3513

prune259.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	195	5	200

Error

0.0b

Counts

200 → 5

Compiler

Compiled 4849 to 2692 computations (44.5% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 10 k))
0.4b	(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 10 k))) a))
4.1b	(/.f64 (+.f64 1 (*.f64 k (+.f64 10 k))) a)

rewrite302.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

172×	`times-frac_binary64_1789`
99×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
97×	`add-cube-cbrt_binary64_1818`
42×	`unpow-prod-down_binary64_1862`
20×	`add-exp-log_binary64_1821`
16×	`associate-/r*_binary64_1727`
14×	`sqr-pow_binary64_1755`
12×	`add-cbrt-cube_binary64_1819`
10×	`div-exp_binary64_1834` `div-inv_binary64_1780` `associate-/l*_binary64_1728`
5×	`pow1_binary64_1844`
4×	`cbrt-undiv_binary64_1817` `associate-r_binary64_1723`
3×	`add-log-exp_binary64_1822` `associate-l_binary64_1724`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `flip3-+_binary64_1786` `associate-/l/_binary64_1730` `flip-+_binary64_1757` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `associate-*r/_binary64_1725`
1×	`associate-/r/_binary64_1729` `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` `distribute-lft-out_binary64_1734` `*-commutative_binary64_1714`

Counts

3 → 182

Calls

3 calls:

12.0ms	(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 10 k))) a))
6.0ms	(*.f64 k (+.f64 10 k))
5.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 10 k))) a)

Compiler

Compiled 4995 to 2870 computations (42.5% saved)

series769.0ms (3.5%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

460.0ms	(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 10 k))) a))
217.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 10 k))) a)
61.0ms	(*.f64 k (+.f64 10 k))

Compiler

Compiled 1498 to 1075 computations (28.2% saved)

simplify625.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

558×	`distribute-rgt-in_binary64_1733`
526×	`distribute-lft-in_binary64_1732`
284×	`associate-/l*_binary64_1728`
229×	`associate-/r/_binary64_1729`
192×	`*-commutative_binary64_1714`
187×	`associate-/l/_binary64_1730`
176×	`associate-r_binary64_1723`
168×	`cancel-sign-sub-inv_binary64_1749`
165×	`associate-l_binary64_1724`
139×	`associate-*l/_binary64_1726`
113×	`unswap-sqr_binary64_1751`
84×	`associate-*r/_binary64_1725`
82×	`distribute-rgt-neg-in_binary64_1741`
80×	`times-frac_binary64_1789`
78×	`sqr-pow_binary64_1755`
70×	`distribute-lft-neg-in_binary64_1740`
67×	`associate-/r*_binary64_1727`
61×	`sub-neg_binary64_1776`
56×	`*-rgt-identity_binary64_1773`
49×	`distribute-rgt-out_binary64_1736`
40×	`exp-prod_binary64_1835`
38×	`/-rgt-identity_binary64_1774` `pow-sqr_binary64_1756`
37×	`distribute-rgt-out--_binary64_1737`
32×	`log-prod_binary64_1869`
31×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `+-commutative_binary64_1713`
25×	`log-div_binary64_1870` `*-lft-identity_binary64_1772`
22×	`distribute-neg-frac_binary64_1747`
21×	`pow-plus_binary64_1846` `distribute-neg-in_binary64_1744`
18×	`distribute-lft-neg-out_binary64_1742`
17×	`cube-prod_binary64_1811`
16×	`associate-+r+_binary64_1715`
14×	`div-sub_binary64_1788` `swap-sqr_binary64_1750` `associate--r+_binary64_1719`
13×	`associate-+l+_binary64_1716`
11×	`cube-div_binary64_1812`
10×	`log-pow_binary64_1872` `cube-unmult_binary64_1820` `unsub-neg_binary64_1777`
9×	`exp-sum_binary64_1829`
8×	`distribute-rgt-neg-out_binary64_1743` `distribute-lft-out--_binary64_1735` `associate--l+_binary64_1720`
5×	`distribute-rgt1-in_binary64_1739`
4×	`unpow3_binary64_1849` `exp-neg_binary64_1830` `cube-mult_binary64_1813` `difference-of-squares_binary64_1752` `distribute-neg-out_binary64_1745` `distribute-lft-out_binary64_1734`
3×	`unpow2_binary64_1848` `pow-base-1_binary64_1843` `unpow1_binary64_1841` `remove-double-neg_binary64_1771` `remove-double-div_binary64_1759` `associate--r-_binary64_1722`
2×	`log-rec_binary64_1871` `exp-to-pow_binary64_1845` `mul-1-neg_binary64_1775`
1×	`exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-sqrt-square_binary64_1796` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `difference-of-sqr-1_binary64_1753` `distribute-frac-neg_binary64_1746` `distribute-lft1-in_binary64_1738` `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` `unpow1/2_binary64_1847` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `difference-of-sqr--1_binary64_1754` `cancel-sign-sub_binary64_1748` `count-2_binary64_1731` `associate--l-_binary64_1721`

Counts

215 → 697

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	6770
1	818	6518
2	3127	6452

prune1.7s (7.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	696	1	697
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	698	4	702

Error

0.0b

Counts

702 → 4

Compiler

Compiled 20647 to 10809 computations (47.6% saved)

regimes704.0ms (3.2%)

Accuracy

Total 0.1b remaining (94.8%)

Threshold costs 0.1b (94.8%)

Compiler

Compiled 5936 to 4374 computations (26.3% saved)

bsearch8.0ms (0%)

Steps

Iters	Range		Point
1	5.545529360235946e+89	6.145100242566231e+89	5.99520752198366e+89

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`unsub-neg_binary64_1777`
12×	`distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`
10×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `cancel-sign-sub-inv_binary64_1749` `distribute-neg-in_binary64_1744`
9×	`sub-neg_binary64_1776` `distribute-rgt-neg-out_binary64_1743` `*-commutative_binary64_1714`
7×	`+-commutative_binary64_1713`
4×	`remove-double-neg_binary64_1771` `distribute-lft-neg-out_binary64_1742`
2×	`distribute-neg-out_binary64_1745`
1×	`1-exp_binary64_1827` `sqr-neg_binary64_1797` `--rgt-identity_binary64_1769`
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` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `sub0-neg_binary64_1770` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	64
1	41	64
2	54	64
3	78	64
4	99	64
5	104	64
6	112	64
7	114	64

Proof

(if real (<= f64 h0 599520752198365953133574688844664001734192492011032199341301681845867778952489689539411968) (/ f64 h1 (/ f64 (sqrt f64 (+ f64 1 (+ f64 (* f64 h0 10) (* f64 h0 h0)))) (/ f64 (pow f64 h0 h2) (sqrt f64 (+ f64 1 (+ f64 (* f64 h0 10) (* f64 h0 h0))))))) (* f64 (/ f64 h1 h0) (/ f64 (exp f64 (* f64 h2 (=> (neg f64 (neg f64 (log f64 h0)))))) h0)))
remove-double-neg_binary64_1771 =>
(if real (<= f64 h0 599520752198365953133574688844664001734192492011032199341301681845867778952489689539411968) (/ f64 h1 (/ f64 (sqrt f64 (+ f64 1 (+ f64 (* f64 h0 10) (* f64 h0 h0)))) (/ f64 (pow f64 h0 h2) (sqrt f64 (+ f64 1 (+ f64 (* f64 h0 10) (* f64 h0 h0))))))) (* f64 (/ f64 h1 h0) (/ f64 (exp f64 (* f64 h2 (log f64 h0))) h0)))

end0.0ms (0%)

sample2.6s (12%)

Algorithm

1×

intervals

Results

519.0ms	8000×	body	128	valid
288.0ms	3227×	body	128	invalid
91.0ms	2053×	body	128	nan

Compiler

Compiled 1533 to 1128 computations (26.4% saved)

Details

analyze1.2s (5.7%)

sample44.0ms (0.2%)

simplify263.0ms (1.2%)

prune12.0ms (0.1%)

localize10.0ms (0%)

rewrite443.0ms (2%)

series975.0ms (4.4%)

simplify983.0ms (4.5%)

prune2.2s (9.9%)

localize13.0ms (0.1%)

rewrite1.2s (5.5%)

series673.0ms (3.1%)

simplify1.9s (8.5%)

prune3.6s (16.5%)

localize9.0ms (0%)

rewrite188.0ms (0.9%)

series750.0ms (3.4%)

simplify446.0ms (2%)

prune259.0ms (1.2%)

localize9.0ms (0%)

rewrite302.0ms (1.4%)

series769.0ms (3.5%)

simplify625.0ms (2.8%)

prune1.7s (7.9%)

regimes704.0ms (3.2%)

bsearch8.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample2.6s (12%)

Profiling