Details

analyze283.0ms (2.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

710×	`associate-/l*_binary64_1728`
440×	`associate-*l/_binary64_1726`
248×	`distribute-neg-frac_binary64_1747`
242×	`associate-/l/_binary64_1730`
236×	`associate-/r*_binary64_1727`
226×	`distribute-rgt-neg-in_binary64_1741`
224×	`cancel-sign-sub-inv_binary64_1749`
222×	`distribute-lft-neg-in_binary64_1740`
216×	`times-frac_binary64_1789`
208×	`associate-/r/_binary64_1729`
110×	`distribute-rgt-in_binary64_1733`
108×	`distribute-lft-in_binary64_1732`
102×	`div-sub_binary64_1788`
100×	`associate-r_binary64_1723`
84×	`associate-l_binary64_1724`
60×	`neg-sub0_binary64_1778` `*-commutative_binary64_1714`
54×	`neg-mul-1_binary64_1779`
46×	`distribute-lft-neg-out_binary64_1742`
44×	`sub-neg_binary64_1776` `distribute-rgt-neg-out_binary64_1743`
20×	`distribute-rgt-out_binary64_1736` `distribute-lft-out_binary64_1734`
18×	`associate-*r/_binary64_1725`
13×	`-rgt-identity_binary64_1773` `-lft-identity_binary64_1772`
12×	`unsub-neg_binary64_1777`
8×	`+-commutative_binary64_1713`
6×	`sub0-neg_binary64_1770` `associate-+l-_binary64_1718`
2×	`difference-of-sqr-1_binary64_1753`
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` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-prod_binary64_1835` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `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_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `sqr-pow_binary64_1755` `difference-of-sqr--1_binary64_1754` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `swap-sqr_binary64_1750` `cancel-sign-sub_binary64_1748` `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` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+r-_binary64_1717` `associate-+l+_binary64_1716` `associate-+r+_binary64_1715`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	86
1	102	86
2	341	80
3	1570	80
4	4978	80
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64_1789`
719×	`distribute-neg-frac_binary64_1747`
509×	`associate-/r*_binary64_1727`
353×	`associate-/l*_binary64_1728`
343×	`div-sub_binary64_1788`
266×	`neg-sub0_binary64_1778`
252×	`neg-mul-1_binary64_1779`
251×	`associate-l_binary64_1724`
232×	`associate-r_binary64_1723`
192×	`associate-*l/_binary64_1726`
145×	`associate-*r/_binary64_1725`
121×	`associate-/l/_binary64_1730`
113×	`distribute-rgt-neg-in_binary64_1741`
112×	`cancel-sign-sub-inv_binary64_1749`
111×	`distribute-lft-neg-in_binary64_1740`
91×	`*-commutative_binary64_1714`
86×	`associate-/r/_binary64_1729`
83×	`sub-neg_binary64_1776`
68×	`unsub-neg_binary64_1777`
55×	`distribute-rgt-in_binary64_1733`
54×	`distribute-lft-in_binary64_1732`
35×	`/-rgt-identity_binary64_1774`
23×	`distribute-lft-neg-out_binary64_1742`
22×	`distribute-rgt-neg-out_binary64_1743`
20×	`div0_binary64_1764`
16×	`*-rgt-identity_binary64_1773`
15×	`*-lft-identity_binary64_1772`
13×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
10×	`distribute-rgt-out_binary64_1736` `distribute-lft-out_binary64_1734`
9×	`+-commutative_binary64_1713`
5×	`mul-1-neg_binary64_1775` `sub0-neg_binary64_1770`
4×	`associate-+l-_binary64_1718`
3×	`associate-+l+_binary64_1716`
1×	`1-exp_binary64_1827` `+-rgt-identity_binary64_1768` `*-inverses_binary64_1763` `difference-of-sqr-1_binary64_1753` `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` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-prod_binary64_1835` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `remove-double-neg_binary64_1771` `--rgt-identity_binary64_1769` `+-lft-identity_binary64_1767` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `sqr-pow_binary64_1755` `difference-of-sqr--1_binary64_1754` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `swap-sqr_binary64_1750` `cancel-sign-sub_binary64_1748` `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` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+r+_binary64_1715`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	179	40
3	803	40
4	3764	40
5	4802	40
6	4990	40

prune6.0ms (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

0.4b

Counts

2 → 1

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
0.3b	(*.f64 PI.f64 t)
0.4b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

rewrite303.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
20×	`pow1_binary64_1844`
16×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725`
14×	`add-sqr-sqrt_binary64_1805`
12×	`sqrt-div_binary64_1800` `associate-l_binary64_1724`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`pow-prod-down_binary64_1854`
8×	`frac-times_binary64_1793` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-/r/_binary64_1729`
7×	`flip3--_binary64_1787` `flip--_binary64_1758`
6×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
5×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `associate-*l/_binary64_1726` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
3×	`sqrt-prod_binary64_1799` `-commutative_binary64_1714` `times-frac_binary64_1789` `associate-/l_binary64_1728`
2×	`unswap-sqr_binary64_1751` `associate-/l/_binary64_1730`
1×	`frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 113

Calls

4 calls:

17.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
15.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
6.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 4540 to 2736 computations (39.7% saved)

series885.0ms (8%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

468.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
309.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
36.0ms	(.f64 5 (.f64 v v))
28.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 2153 to 1676 computations (22.2% saved)

simplify135.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

572×	`times-frac_binary64_1789`
531×	`associate-r_binary64_1723`
482×	`associate-l_binary64_1724`
387×	`associate-/r*_binary64_1727`
242×	`associate-/l*_binary64_1728`
114×	`*-commutative_binary64_1714`
87×	`div-sub_binary64_1788`
81×	`exp-prod_binary64_1835`
67×	`log-prod_binary64_1869`
65×	`distribute-rgt-in_binary64_1733`
63×	`distribute-lft-in_binary64_1732`
59×	`associate-*r/_binary64_1725`
58×	`associate-*l/_binary64_1726`
57×	`sub-neg_binary64_1776`
56×	`cancel-sign-sub-inv_binary64_1749`
53×	`cube-prod_binary64_1811`
46×	`distribute-rgt-neg-in_binary64_1741`
38×	`distribute-lft-neg-in_binary64_1740`
33×	`+-commutative_binary64_1713`
26×	`neg-sub0_binary64_1778`
25×	`neg-mul-1_binary64_1779` `swap-sqr_binary64_1750`
22×	`sqr-pow_binary64_1755`
21×	`associate-/r/_binary64_1729`
19×	`distribute-neg-in_binary64_1744`
16×	`associate-+r+_binary64_1715`
12×	`distribute-lft-neg-out_binary64_1742`
11×	`cube-unmult_binary64_1820`
9×	`log-div_binary64_1870`
8×	`*-lft-identity_binary64_1772` `associate--r+_binary64_1719`
7×	`cube-div_binary64_1812` `*-rgt-identity_binary64_1773` `distribute-rgt-neg-out_binary64_1743` `distribute-rgt-out_binary64_1736`
6×	`unpow3_binary64_1849` `cube-mult_binary64_1813`
5×	`exp-sum_binary64_1829` `distribute-rgt1-in_binary64_1739` `associate--l+_binary64_1720`
4×	`distribute-rgt-out--_binary64_1737`
3×	`rem-square-sqrt_binary64_1795` `unswap-sqr_binary64_1751`
2×	`pow-plus_binary64_1846` `mul-1-neg_binary64_1775` `distribute-lft-out_binary64_1734`
1×	`log-pow_binary64_1872` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `distribute-neg-frac_binary64_1747` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate-+r-_binary64_1717` `associate-+l+_binary64_1716`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-rec_binary64_1871` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `unsub-neg_binary64_1777` `/-rgt-identity_binary64_1774` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft1-in_binary64_1738` `associate-/l/_binary64_1730` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l-_binary64_1718`

Counts

137 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	4992
1	989	4342
2	4670	4315
3	5018	4315

prune261.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	113	5	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	6	119

Error

Counts

119 → 6

Compiler

Compiled 4401 to 2672 computations (39.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(*.f64 PI.f64 t)
0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
1.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite434.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`times-frac_binary64_1789`
51×	`add-sqr-sqrt_binary64_1805`
48×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
30×	`sqrt-prod_binary64_1799`
27×	`associate-/l*_binary64_1728`
11×	`pow1_binary64_1844`
10×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
8×	`associate-/r/_binary64_1729`
7×	`associate-/r*_binary64_1727`
6×	`sqrt-div_binary64_1800` `associate-r_binary64_1723`
5×	`flip3--_binary64_1787` `flip--_binary64_1758`
4×	`add-log-exp_binary64_1822` `div-inv_binary64_1780` `pow-prod-down_binary64_1854` `associate-l_binary64_1724`
3×	`div-sub_binary64_1788` `associate-/l/_binary64_1730`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-r/_binary64_1725` `unswap-sqr_binary64_1751` `-commutative_binary64_1714`

Counts

4 → 156

Calls

4 calls:

21.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
9.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
7.0ms	(.f64 (.f64 v v) 5)
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 6524 to 3864 computations (40.8% saved)

series696.0ms (6.3%)

Error

Counts

4 → 21

Calls

4 calls:

474.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
106.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
42.0ms	(.f64 (.f64 v v) 5)
35.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1786 to 1386 computations (22.4% saved)

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

395×	`times-frac_binary64_1789`
358×	`associate-/r*_binary64_1727`
357×	`associate-/l*_binary64_1728`
302×	`associate-l_binary64_1724`
250×	`associate-r_binary64_1723`
211×	`div-sub_binary64_1788`
188×	`*-commutative_binary64_1714`
154×	`associate-/l/_binary64_1730`
81×	`+-commutative_binary64_1713`
79×	`associate-*l/_binary64_1726`
69×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
65×	`associate-/r/_binary64_1729`
62×	`associate-*r/_binary64_1725`
61×	`associate-+r+_binary64_1715`
57×	`sub-neg_binary64_1776`
52×	`associate-+l+_binary64_1716`
49×	`cancel-sign-sub-inv_binary64_1749`
48×	`log-prod_binary64_1869`
42×	`associate--r+_binary64_1719`
41×	`distribute-rgt-neg-in_binary64_1741`
35×	`log-div_binary64_1870`
33×	`distribute-lft-neg-in_binary64_1740`
32×	`cube-prod_binary64_1811`
30×	`associate--l+_binary64_1720`
29×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
24×	`exp-prod_binary64_1835`
20×	`distribute-neg-in_binary64_1744`
19×	`swap-sqr_binary64_1750`
18×	`cube-div_binary64_1812`
15×	`sqr-pow_binary64_1755`
10×	`cube-unmult_binary64_1820`
8×	`distribute-rgt-out_binary64_1736`
6×	`distribute-lft-neg-out_binary64_1742`
5×	`unpow3_binary64_1849` `/-rgt-identity_binary64_1774` `*-rgt-identity_binary64_1773` `unswap-sqr_binary64_1751`
4×	`cube-mult_binary64_1813`
3×	`distribute-neg-frac_binary64_1747` `distribute-rgt1-in_binary64_1739` `associate--l-_binary64_1721`
2×	`exp-diff_binary64_1831` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `*-lft-identity_binary64_1772` `distribute-lft-out_binary64_1734` `associate--r-_binary64_1722`
1×	`log-pow_binary64_1872` `log-rec_binary64_1871` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `unpow1_binary64_1841` `exp-sum_binary64_1829` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `distribute-rgt-out--_binary64_1737` `count-2_binary64_1731` `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` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `unsub-neg_binary64_1777` `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` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `associate-+r-_binary64_1717`

Counts

177 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	7211
1	1011	6475
2	4333	6466
3	4973	6466

prune272.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	128	5	133

Error

Counts

133 → 5

Compiler

Compiled 4953 to 3028 computations (38.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 6)
0.2b	(.f64 (.f64 v v) 5)
0.2b	(.f64 t (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))))
0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))

rewrite262.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
36×	`associate-*r/_binary64_1725`
23×	`pow1_binary64_1844`
18×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
13×	`flip3--_binary64_1787` `flip--_binary64_1758`
12×	`sqrt-div_binary64_1800` `pow-prod-down_binary64_1854`
11×	`add-sqr-sqrt_binary64_1805`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`frac-times_binary64_1793` `associate-/r/_binary64_1729`
7×	`associate-r_binary64_1723`
5×	`associate-l_binary64_1724`
4×	`div-exp_binary64_1834` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `associate-*l/_binary64_1726`
3×	`times-frac_binary64_1789` `associate-/l_binary64_1728` `-commutative_binary64_1714`
2×	`associate-/l/_binary64_1730` `unswap-sqr_binary64_1751`
1×	`frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 103

Calls

4 calls:

19.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))
15.0ms	(.f64 t (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))))
7.0ms	(.f64 (.f64 v v) 6)
6.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 4129 to 2449 computations (40.7% saved)

series907.0ms (8.2%)

Error

Counts

4 → 24

Calls

4 calls:

500.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))))
280.0ms	(.f64 t (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))))
44.0ms	(.f64 (.f64 v v) 6)
37.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 2153 to 1681 computations (21.9% saved)

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

464×	`times-frac_binary64_1789`
447×	`associate-r_binary64_1723`
415×	`associate-l_binary64_1724`
338×	`associate-/r*_binary64_1727`
246×	`*-commutative_binary64_1714`
244×	`associate-/l*_binary64_1728`
94×	`div-sub_binary64_1788`
81×	`+-commutative_binary64_1713`
80×	`neg-sub0_binary64_1778`
79×	`neg-mul-1_binary64_1779`
68×	`exp-prod_binary64_1835`
58×	`associate-*r/_binary64_1725`
57×	`associate-*l/_binary64_1726`
55×	`cancel-sign-sub-inv_binary64_1749` `associate-+r+_binary64_1715`
54×	`sub-neg_binary64_1776`
52×	`log-prod_binary64_1869`
48×	`distribute-rgt-neg-in_binary64_1741`
46×	`associate--r+_binary64_1719` `associate-+l+_binary64_1716`
41×	`cube-prod_binary64_1811` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
39×	`distribute-lft-neg-in_binary64_1740`
26×	`associate--l+_binary64_1720`
25×	`log-div_binary64_1870`
21×	`sqr-pow_binary64_1755`
20×	`distribute-neg-in_binary64_1744` `associate-/r/_binary64_1729`
19×	`swap-sqr_binary64_1750`
11×	`cube-unmult_binary64_1820`
9×	`unswap-sqr_binary64_1751`
7×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `distribute-lft-neg-out_binary64_1742`
6×	`exp-sum_binary64_1829` `cube-div_binary64_1812`
4×	`distribute-rgt-out_binary64_1736`
3×	`rem-square-sqrt_binary64_1795` `*-rgt-identity_binary64_1773` `distribute-rgt1-in_binary64_1739`
2×	`log-pow_binary64_1872` `pow-plus_binary64_1846` `exp-diff_binary64_1831` `*-lft-identity_binary64_1772` `distribute-lft-out_binary64_1734`
1×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-sqrt-square_binary64_1796` `mul-1-neg_binary64_1775` `distribute-neg-frac_binary64_1747` `distribute-rgt-out--_binary64_1737` `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` `log-rec_binary64_1871` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `unsub-neg_binary64_1777` `/-rgt-identity_binary64_1774` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `associate-/l/_binary64_1730` `associate--l-_binary64_1721` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

127 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	4328
1	940	3717
2	4479	3708
3	4990	3708
4	4949	3708

prune182.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	94	5	99

Error

Counts

99 → 5

Compiler

Compiled 3483 to 2181 computations (37.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
0.3b	(*.f64 t PI.f64)
0.5b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))

rewrite318.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
31×	`add-sqr-sqrt_binary64_1805`
24×	`associate-r_binary64_1723`
20×	`*-un-lft-identity_binary64_1783`
19×	`add-cube-cbrt_binary64_1818`
18×	`sqrt-prod_binary64_1799`
17×	`times-frac_binary64_1789`
14×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
13×	`pow1_binary64_1844` `associate-l_binary64_1724`
6×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `unswap-sqr_binary64_1751` `associate-/r/_binary64_1729`
5×	`pow-prod-down_binary64_1854` `associate-*l/_binary64_1726`
4×	`add-log-exp_binary64_1822` `flip3--_binary64_1787` `flip--_binary64_1758`
3×	`div-inv_binary64_1780` `-commutative_binary64_1714` `associate-/l_binary64_1728`
2×	`sqrt-div_binary64_1800` `associate-/l/_binary64_1730`
1×	`frac-times_binary64_1793` `associate-r/_binary64_1725` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `associate-/r_binary64_1727`

Counts

4 → 116

Calls

4 calls:

26.0ms	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
12.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
6.0ms	(.f64 (.f64 v v) 5)
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 4760 to 2830 computations (40.5% saved)

series884.0ms (8%)

Error

Counts

4 → 24

Calls

4 calls:

505.0ms	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
272.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
36.0ms	(.f64 (.f64 v v) 5)
33.0ms	(*.f64 t PI.f64)

Compiler

Compiled 1976 to 1514 computations (23.4% saved)

simplify197.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

538×	`times-frac_binary64_1789`
346×	`associate-l_binary64_1724`
321×	`associate-r_binary64_1723`
320×	`associate-/r*_binary64_1727`
255×	`associate-/l*_binary64_1728`
202×	`*-commutative_binary64_1714`
124×	`sub-neg_binary64_1776`
121×	`log-prod_binary64_1869`
119×	`exp-prod_binary64_1835`
118×	`associate-*l/_binary64_1726`
106×	`div-sub_binary64_1788` `associate-*r/_binary64_1725`
96×	`log-div_binary64_1870`
68×	`+-commutative_binary64_1713`
62×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
59×	`cube-prod_binary64_1811`
50×	`sqr-pow_binary64_1755`
49×	`cancel-sign-sub-inv_binary64_1749`
44×	`associate-+r+_binary64_1715`
43×	`distribute-rgt-neg-in_binary64_1741`
41×	`unpow3_binary64_1849`
40×	`/-rgt-identity_binary64_1774`
39×	`*-lft-identity_binary64_1772`
38×	`*-rgt-identity_binary64_1773` `associate-+l+_binary64_1716`
34×	`distribute-lft-neg-in_binary64_1740`
33×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
31×	`associate--r+_binary64_1719`
25×	`cube-div_binary64_1812` `swap-sqr_binary64_1750`
19×	`unsub-neg_binary64_1777` `distribute-neg-in_binary64_1744`
18×	`associate--l+_binary64_1720`
17×	`associate-/r/_binary64_1729`
12×	`log-rec_binary64_1871`
10×	`cube-unmult_binary64_1820`
9×	`distribute-rgt-out_binary64_1736`
7×	`distribute-lft-out_binary64_1734` `associate-/l/_binary64_1730`
6×	`distribute-lft-neg-out_binary64_1742`
5×	`unpow1/2_binary64_1847` `unswap-sqr_binary64_1751` `distribute-rgt1-in_binary64_1739`
4×	`cube-mult_binary64_1813` `rem-sqrt-square_binary64_1796` `associate-+l-_binary64_1718`
3×	`log-pow_binary64_1872`
2×	`exp-sum_binary64_1829` `rem-square-sqrt_binary64_1795` `remove-double-neg_binary64_1771` `pow-sqr_binary64_1756` `distribute-neg-frac_binary64_1747` `associate-+r-_binary64_1717`
1×	`unpow2_binary64_1848` `pow-plus_binary64_1846` `unpow1_binary64_1841` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `remove-double-div_binary64_1759` `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` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `mul-1-neg_binary64_1775` `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` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `associate--l-_binary64_1721`

Counts

140 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	4901
1	856	4260
2	4140	4249
3	4770	4249
4	4996	4249
5	4946	4249

prune189.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Error

Counts

104 → 5

Compiler

Compiled 3692 to 2295 computations (37.8% saved)

regimes1.3s (11.5%)

Accuracy

Total 0.3b remaining (99.5%)

Threshold costs 0.3b (99.5%)

Compiler

Compiled 18523 to 13388 computations (27.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64_1714`
9×	`sub-neg_binary64_1776` `+-commutative_binary64_1713`
6×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
5×	`cancel-sign-sub-inv_binary64_1749` `distribute-rgt-neg-in_binary64_1741`
3×	`distribute-lft-neg-out_binary64_1742`
2×	`distribute-lft-neg-in_binary64_1740`
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` `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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	40	43
2	58	43
3	70	43
4	78	43
5	80	43
6	79	43

end0.0ms (0%)

sample3.1s (28.1%)

Algorithm

1×

intervals

Results

579.0ms	8000×	body	128	valid
1.0ms	12×	body	128	nan

Compiler

Compiled 3389 to 2453 computations (27.6% saved)

Details

analyze283.0ms (2.6%)

sample28.0ms (0.3%)

simplify51.0ms (0.5%)

prune6.0ms (0.1%)

localize20.0ms (0.2%)

rewrite303.0ms (2.7%)

series885.0ms (8%)

simplify135.0ms (1.2%)

prune261.0ms (2.4%)

localize17.0ms (0.1%)

rewrite434.0ms (3.9%)

series696.0ms (6.3%)

simplify171.0ms (1.5%)

prune272.0ms (2.5%)

localize17.0ms (0.2%)

rewrite262.0ms (2.4%)

series907.0ms (8.2%)

simplify152.0ms (1.4%)

prune182.0ms (1.6%)

localize18.0ms (0.2%)

rewrite318.0ms (2.9%)

series884.0ms (8%)

simplify197.0ms (1.8%)

prune189.0ms (1.7%)

regimes1.3s (11.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.1s (28.1%)

Profiling