Details

analyze1.0s (5.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

570×	`exp-sum_binary64_1829`
350×	`associate-r_binary64_1723`
332×	`associate-l_binary64_1724`
234×	`unsub-neg_binary64_1777`
226×	`prod-exp_binary64_1832`
220×	`exp-prod_binary64_1835`
208×	`*-commutative_binary64_1714`
188×	`+-commutative_binary64_1713`
182×	`associate-+l+_binary64_1716`
158×	`sub-neg_binary64_1776`
156×	`associate-+r+_binary64_1715`
144×	`exp-diff_binary64_1831`
140×	`div-sub_binary64_1788`
128×	`unswap-sqr_binary64_1751`
104×	`sqr-pow_binary64_1755`
84×	`distribute-lft-in_binary64_1732`
70×	`distribute-rgt-in_binary64_1733`
54×	`neg-mul-1_binary64_1779`
52×	`pow-sqr_binary64_1756`
46×	`neg-sub0_binary64_1778`
30×	`log-prod_binary64_1869`
28×	`exp-neg_binary64_1830`
26×	`sub0-neg_binary64_1770` `associate-+l-_binary64_1718`
20×	`exp-to-pow_binary64_1845` `associate-+r-_binary64_1717`
18×	`distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742`
12×	`rem-exp-log_binary64_1823` `+-rgt-identity_binary64_1768`
10×	`distribute-rgt-neg-in_binary64_1741`
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` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `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` `div-exp_binary64_1834` `rec-exp_binary64_1833` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `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` `times-frac_binary64_1789` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `remove-double-neg_binary64_1771` `--rgt-identity_binary64_1769` `+-lft-identity_binary64_1767` `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` `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-lft-neg-in_binary64_1740` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-rgt-out_binary64_1736` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734` `count-2_binary64_1731` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-*r/_binary64_1725` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	448
1	254	448
2	577	448
3	1271	416
4	3767	416
5	4996	416
6	4999	416
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample120.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	364×	body	128	nan
20.0ms	238×	body	128	valid
19.0ms	195×	body	128	invalid
2.0ms	8×	body	512	valid
2.0ms	7×	body	512	invalid
2.0ms	4×	body	1024	valid
2.0ms	3×	body	1024	invalid
1.0ms	6×	body	256	valid
1.0ms	4×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/l*_binary64_1728`
456×	`unswap-sqr_binary64_1751`
365×	`*-commutative_binary64_1714`
341×	`exp-sum_binary64_1829`
317×	`associate-/r*_binary64_1727`
176×	`associate-l_binary64_1724`
158×	`exp-diff_binary64_1831`
153×	`sub-neg_binary64_1776`
152×	`associate-r_binary64_1723`
146×	`distribute-rgt-in_binary64_1733`
139×	`sqr-pow_binary64_1755`
131×	`exp-prod_binary64_1835`
124×	`div-sub_binary64_1788`
122×	`distribute-lft-in_binary64_1732`
108×	`associate-/l/_binary64_1730`
93×	`cancel-sign-sub-inv_binary64_1749`
80×	`associate-*l/_binary64_1726`
78×	`distribute-neg-in_binary64_1744`
72×	`associate-*r/_binary64_1725`
71×	`neg-mul-1_binary64_1779`
64×	`pow-sqr_binary64_1756`
59×	`neg-sub0_binary64_1778`
52×	`unsub-neg_binary64_1777`
49×	`associate--r+_binary64_1719` `associate-+l-_binary64_1718`
48×	`associate-/r/_binary64_1729`
41×	`distribute-lft-neg-out_binary64_1742` `associate-+l+_binary64_1716`
38×	`distribute-rgt-neg-out_binary64_1743`
37×	`associate-+r+_binary64_1715`
35×	`+-commutative_binary64_1713`
33×	`sub0-neg_binary64_1770`
31×	`distribute-lft-neg-in_binary64_1740`
30×	`distribute-rgt-neg-in_binary64_1741`
25×	`distribute-frac-neg_binary64_1746`
22×	`*-rgt-identity_binary64_1773`
21×	`*-lft-identity_binary64_1772`
20×	`distribute-neg-out_binary64_1745`
17×	`associate-+r-_binary64_1717`
16×	`div-exp_binary64_1834` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `associate--r-_binary64_1722`
13×	`log-prod_binary64_1869`
12×	`remove-double-neg_binary64_1771`
8×	`exp-to-pow_binary64_1845` `cube-unmult_binary64_1820` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768`
6×	`/-rgt-identity_binary64_1774`
5×	`+-lft-identity_binary64_1767` `associate--l+_binary64_1720`
4×	`log-pow_binary64_1872` `unpow3_binary64_1849` `pow-plus_binary64_1846` `cancel-sign-sub_binary64_1748` `associate--l-_binary64_1721`
3×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
2×	`log-rec_binary64_1871` `log-div_binary64_1870` `unpow-1_binary64_1840` `exp-lft-sqr_binary64_1838` `exp-sqrt_binary64_1836` `rem-exp-log_binary64_1823` `distribute-neg-frac_binary64_1747` `distribute-rgt-out--_binary64_1737` `distribute-rgt-out_binary64_1736`
1×	`rec-exp_binary64_1833` `1-exp_binary64_1827` `div0_binary64_1764`
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` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `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` `times-frac_binary64_1789` `mul-1-neg_binary64_1775` `*-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` `swap-sqr_binary64_1750` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734` `count-2_binary64_1731`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	33	28
2	68	28
3	146	26
4	366	26
5	1130	26
6	2557	26
7	4665	26
8	4948	26

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

2.3b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
5.0b	(log.f64 (-.f64 1 z))

rewrite213.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

38×	`add-sqr-sqrt_binary64_1805`
34×	`*-un-lft-identity_binary64_1783`
24×	`log-prod_binary64_1869`
19×	`add-cube-cbrt_binary64_1818`
18×	`associate--l+_binary64_1720`
17×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
16×	`associate-r_binary64_1723`
13×	`pow1_binary64_1844`
12×	`cancel-sign-sub-inv_binary64_1749`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`associate-l_binary64_1724`
8×	`difference-of-squares_binary64_1752`
7×	`distribute-lft-out--_binary64_1735`
4×	`add-log-exp_binary64_1822` `sub-neg_binary64_1776` `associate-*r/_binary64_1725`
3×	`log-pow_binary64_1872` `flip3--_binary64_1787` `flip--_binary64_1758` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`
2×	`log-div_binary64_1870`
1×	`rem-log-exp_binary64_1824` `exp-sum_binary64_1829`

Counts

4 → 116

Calls

4 calls:

16.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
11.0ms	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 3040 to 1528 computations (49.7% saved)

series1.7s (9.8%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

980.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
325.0ms	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
319.0ms	(*.f64 y (-.f64 (log.f64 z) t))
26.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 4354 to 2821 computations (35.2% saved)

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

569×	`cancel-sign-sub-inv_binary64_1749`
548×	`associate-r_binary64_1723`
482×	`associate-l_binary64_1724`
284×	`*-commutative_binary64_1714`
208×	`sub-neg_binary64_1776`
138×	`exp-prod_binary64_1835`
129×	`unsub-neg_binary64_1777`
121×	`+-commutative_binary64_1713`
106×	`exp-sum_binary64_1829`
94×	`unswap-sqr_binary64_1751`
89×	`neg-sub0_binary64_1778`
82×	`neg-mul-1_binary64_1779`
78×	`*-lft-identity_binary64_1772`
74×	`sqr-pow_binary64_1755`
71×	`*-rgt-identity_binary64_1773`
67×	`associate-+r+_binary64_1715`
57×	`associate-+l+_binary64_1716`
50×	`distribute-rgt-in_binary64_1733`
49×	`associate--r+_binary64_1719`
47×	`associate--l+_binary64_1720`
45×	`distribute-lft-in_binary64_1732`
43×	`exp-diff_binary64_1831`
41×	`distribute-rgt-neg-in_binary64_1741`
40×	`log-prod_binary64_1869`
35×	`cube-prod_binary64_1811`
34×	`times-frac_binary64_1789`
29×	`distribute-lft-neg-in_binary64_1740`
28×	`swap-sqr_binary64_1750`
26×	`distribute-neg-in_binary64_1744`
25×	`associate-*r/_binary64_1725`
19×	`distribute-lft-neg-out_binary64_1742` `associate-*l/_binary64_1726`
15×	`associate-+r-_binary64_1717`
14×	`distribute-rgt-neg-out_binary64_1743`
12×	`log-div_binary64_1870` `distribute-rgt-out_binary64_1736`
10×	`prod-exp_binary64_1832` `difference-of-squares_binary64_1752` `distribute-lft-out_binary64_1734`
9×	`cube-unmult_binary64_1820`
8×	`exp-to-pow_binary64_1845`
7×	`log-pow_binary64_1872` `unpow3_binary64_1849` `cube-mult_binary64_1813` `mul-1-neg_binary64_1775` `+-rgt-identity_binary64_1768` `pow-sqr_binary64_1756`
6×	`exp-neg_binary64_1830` `cube-div_binary64_1812` `rem-sqrt-square_binary64_1796` `associate-+l-_binary64_1718`
5×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841`
4×	`div-sub_binary64_1788` `remove-double-neg_binary64_1771` `distribute-rgt-out--_binary64_1737`
3×	`rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `count-2_binary64_1731`
2×	`rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `distribute-rgt1-in_binary64_1739` `distribute-lft-out--_binary64_1735` `associate-/r*_binary64_1727` `associate--r-_binary64_1722`
1×	`log-rec_binary64_1871` `pow-plus_binary64_1846` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `sqr-neg_binary64_1797` `distribute-neg-frac_binary64_1747` `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` `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` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-3cbrt-rft_binary64_1809` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `/-rgt-identity_binary64_1774` `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` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/l_binary64_1728` `associate--l-_binary64_1721`

Counts

170 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	4043
1	958	3722
2	3487	3605
3	5090	3605

prune167.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	121	2	123

Error

0.0b

Counts

123 → 2

Compiler

Compiled 3164 to 1404 computations (55.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (neg.f64 z) b)))))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))

rewrite175.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-sqr-sqrt_binary64_1805`
22×	`*-un-lft-identity_binary64_1783`
19×	`add-cube-cbrt_binary64_1818`
18×	`distribute-rgt-in_binary64_1733` `cancel-sign-sub-inv_binary64_1749` `distribute-lft-in_binary64_1732`
14×	`associate-+l+_binary64_1716`
12×	`log-prod_binary64_1869` `associate--l+_binary64_1720`
10×	`associate-r/_binary64_1725` `associate-r*_binary64_1723`
9×	`pow1_binary64_1844` `add-log-exp_binary64_1822`
8×	`add-cbrt-cube_binary64_1819` `associate-+r+_binary64_1715`
7×	`add-exp-log_binary64_1821`
6×	`sub-neg_binary64_1776` `associate-l_binary64_1724`
5×	`flip3--_binary64_1787` `flip--_binary64_1758`
4×	`frac-add_binary64_1791`
3×	`exp-prod_binary64_1835`
2×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `distribute-lft-out--_binary64_1735` `*-commutative_binary64_1714` `exp-sum_binary64_1829` `sum-log_binary64_1874` `rem-exp-log_binary64_1823`
1×	`difference-of-squares_binary64_1752` `log-pow_binary64_1872` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

4 → 106

Calls

4 calls:

16.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
14.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (neg.f64 z) b)))))
11.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 2812 to 572 computations (79.7% saved)

series2.3s (13.2%)

Error

0.0b

Counts

4 → 94

Calls

4 calls:

768.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
751.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (neg.f64 z) b)))))
372.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
320.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 7023 to 3362 computations (52.1% saved)

simplify165.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

861×	`associate-r_binary64_1723`
710×	`associate-l_binary64_1724`
198×	`*-commutative_binary64_1714`
145×	`cancel-sign-sub-inv_binary64_1749`
140×	`distribute-rgt-in_binary64_1733`
134×	`distribute-lft-in_binary64_1732`
105×	`exp-prod_binary64_1835`
95×	`+-commutative_binary64_1713`
94×	`sub-neg_binary64_1776`
57×	`distribute-rgt-neg-in_binary64_1741`
48×	`neg-sub0_binary64_1778`
46×	`associate-*r/_binary64_1725`
45×	`neg-mul-1_binary64_1779`
44×	`distribute-neg-in_binary64_1744`
43×	`distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-in_binary64_1740`
42×	`distribute-lft-neg-out_binary64_1742`
39×	`associate-+r+_binary64_1715`
36×	`sqr-pow_binary64_1755` `associate-*l/_binary64_1726`
27×	`log-prod_binary64_1869`
23×	`distribute-lft-out_binary64_1734`
21×	`distribute-rgt-out_binary64_1736`
18×	`associate--r+_binary64_1719`
16×	`exp-sum_binary64_1829`
15×	`unswap-sqr_binary64_1751`
14×	`associate--l+_binary64_1720`
13×	`swap-sqr_binary64_1750`
11×	`unpow3_binary64_1849`
10×	`exp-diff_binary64_1831` `cube-mult_binary64_1813`
9×	`log-pow_binary64_1872` `unsub-neg_binary64_1777`
8×	`mul-1-neg_binary64_1775`
7×	`cube-prod_binary64_1811`
6×	`log-div_binary64_1870` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `difference-of-squares_binary64_1752`
5×	`distribute-rgt-out--_binary64_1737`
4×	`prod-exp_binary64_1832` `cube-unmult_binary64_1820` `distribute-neg-out_binary64_1745`
2×	`log-rec_binary64_1871` `*-rgt-identity_binary64_1773` `distribute-rgt1-in_binary64_1739` `count-2_binary64_1731`
1×	`pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `exp-neg_binary64_1830` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `cube-neg_binary64_1810` `rem-3cbrt-lft_binary64_1808` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `distribute-neg-frac_binary64_1747` `distribute-lft-out--_binary64_1735` `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` `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` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-exp-log_binary64_1823` `cube-div_binary64_1812` `rem-3cbrt-rft_binary64_1809` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `rem-sqrt-square_binary64_1796` `times-frac_binary64_1789` `div-sub_binary64_1788` `/-rgt-identity_binary64_1774` `-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` `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` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-lft1-in_binary64_1738` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l-_binary64_1718` `associate-+l+_binary64_1716`

Counts

200 → 174

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	458	6240
1	1338	5685
2	4886	5685
3	5033	5685

prune185.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	174	2	176

Error

0.0b

Counts

176 → 2

Compiler

Compiled 4566 to 838 computations (81.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (-.f64 (neg.f64 z) b))))
0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.2b	(*.f64 (-.f64 (log.f64 z) t) y)

rewrite186.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64_1805`
20×	`*-un-lft-identity_binary64_1783`
14×	`add-cube-cbrt_binary64_1818`
10×	`pow1_binary64_1844` `add-log-exp_binary64_1822`
9×	`associate-l_binary64_1724` `associate-r_binary64_1723`
8×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
7×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
6×	`cancel-sign-sub-inv_binary64_1749` `log-prod_binary64_1869` `associate--l+_binary64_1720` `exp-prod_binary64_1835`
4×	`distribute-lft-out--_binary64_1735` `rem-exp-log_binary64_1823`
2×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `flip3--_binary64_1787` `associate-l/_binary64_1726` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `log-pow_binary64_1872` `-commutative_binary64_1714` `sub-neg_binary64_1776` `associate-*r/_binary64_1725` `exp-sum_binary64_1829` `sum-log_binary64_1874`

Counts

4 → 86

Calls

4 calls:

12.0ms	(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (-.f64 (neg.f64 z) b))))
11.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
10.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(*.f64 (-.f64 (log.f64 z) t) y)

Compiler

Compiled 3526 to 574 computations (83.7% saved)

series1.6s (8.9%)

Error

0.0b

Counts

4 → 74

Calls

4 calls:

397.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
380.0ms	(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (-.f64 (neg.f64 z) b))))
342.0ms	(*.f64 y (-.f64 (log.f64 z) t))
319.0ms	(*.f64 (-.f64 (log.f64 z) t) y)

Compiler

Compiled 9340 to 3924 computations (58% saved)

simplify156.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

534×	`cancel-sign-sub-inv_binary64_1749`
360×	`associate-r_binary64_1723`
301×	`associate-l_binary64_1724`
236×	`unswap-sqr_binary64_1751`
211×	`exp-prod_binary64_1835`
192×	`*-commutative_binary64_1714`
188×	`distribute-rgt-neg-in_binary64_1741`
169×	`sub-neg_binary64_1776`
156×	`distribute-lft-neg-in_binary64_1740`
102×	`+-commutative_binary64_1713`
99×	`exp-sum_binary64_1829`
83×	`log-prod_binary64_1869`
82×	`times-frac_binary64_1789`
79×	`exp-diff_binary64_1831` `distribute-neg-in_binary64_1744`
72×	`unsub-neg_binary64_1777`
68×	`neg-sub0_binary64_1778` `distribute-lft-neg-out_binary64_1742` `associate-+r+_binary64_1715`
66×	`neg-mul-1_binary64_1779`
65×	`log-pow_binary64_1872`
62×	`sqr-pow_binary64_1755`
59×	`associate-+l+_binary64_1716`
46×	`associate--r+_binary64_1719`
45×	`distribute-rgt-neg-out_binary64_1743`
44×	`associate--l+_binary64_1720`
35×	`*-rgt-identity_binary64_1773`
32×	`distribute-rgt-in_binary64_1733`
31×	`exp-neg_binary64_1830`
28×	`distribute-neg-frac_binary64_1747` `distribute-lft-in_binary64_1732`
27×	`log-div_binary64_1870` `associate-*r/_binary64_1725`
26×	`prod-exp_binary64_1832` `associate-*l/_binary64_1726`
24×	`*-lft-identity_binary64_1772`
22×	`unpow3_binary64_1849`
16×	`distribute-neg-out_binary64_1745`
15×	`swap-sqr_binary64_1750`
14×	`cube-prod_binary64_1811`
10×	`log-rec_binary64_1871` `pow-plus_binary64_1846` `distribute-rgt-out_binary64_1736`
9×	`pow-sqr_binary64_1756` `distribute-lft-out_binary64_1734`
8×	`unpow1/2_binary64_1847` `associate-+r-_binary64_1717`
6×	`unpow2_binary64_1848` `unpow1_binary64_1841` `cube-mult_binary64_1813`
5×	`div-sub_binary64_1788` `+-rgt-identity_binary64_1768` `difference-of-squares_binary64_1752`
4×	`rem-log-exp_binary64_1824` `cube-unmult_binary64_1820` `rem-sqrt-square_binary64_1796` `associate-+l-_binary64_1718`
3×	`cube-div_binary64_1812` `mul-1-neg_binary64_1775`
2×	`exp-to-pow_binary64_1845` `div-exp_binary64_1834` `distribute-rgt1-in_binary64_1739` `count-2_binary64_1731`
1×	`rec-exp_binary64_1833` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-exp-log_binary64_1823` `rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-rgt-out--_binary64_1737` `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` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `/-rgt-identity_binary64_1774` `--rgt-identity_binary64_1769` `+-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` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-/r*_binary64_1727`

Counts

160 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	4572
1	701	3978
2	2585	3868
3	4436	3868
4	4992	3868

prune172.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	2	121

Error

0.0b

Counts

121 → 2

Compiler

Compiled 5168 to 690 computations (86.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 t y)))
0.0b	(+.f64 (.f64 a (+.f64 z b)) (.f64 t y))
0.0b	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (*.f64 t y)))))
1.2b	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 t y))))

rewrite202.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

59×	`times-frac_binary64_1789`
50×	`add-sqr-sqrt_binary64_1805`
40×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
32×	`associate-r_binary64_1723`
28×	`unpow-prod-down_binary64_1862`
16×	`exp-sum_binary64_1829`
13×	`add-exp-log_binary64_1821`
11×	`add-cbrt-cube_binary64_1819`
10×	`sqr-pow_binary64_1755`
9×	`add-log-exp_binary64_1822`
7×	`associate-/l*_binary64_1728`
6×	`pow1_binary64_1844` `div-exp_binary64_1834`
4×	`associate-/r*_binary64_1727` `prod-exp_binary64_1832` `unswap-sqr_binary64_1751`
3×	`associate-l_binary64_1724` `exp-prod_binary64_1835`
2×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `cbrt-unprod_binary64_1816` `sum-log_binary64_1874` `associate-+l+_binary64_1716` `rem-exp-log_binary64_1823`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `associate-r/_binary64_1725` `-commutative_binary64_1714` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `+-commutative_binary64_1713`

Counts

4 → 134

Calls

4 calls:

22.0ms	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (*.f64 t y)))))
13.0ms	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 t y))))
9.0ms	(exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 t y)))
8.0ms	(+.f64 (.f64 a (+.f64 z b)) (.f64 t y))

Compiler

Compiled 3874 to 571 computations (85.3% saved)

series2.9s (16.5%)

Error

0.0b

Counts

4 → 113

Calls

4 calls:

1.3s	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (*.f64 t y)))))
896.0ms	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 t y))))
359.0ms	(+.f64 (.f64 a (+.f64 z b)) (.f64 t y))
243.0ms	(exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 t y)))

Compiler

Compiled 8912 to 4197 computations (52.9% saved)

simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

769×	`associate-r_binary64_1723`
581×	`associate-l_binary64_1724`
398×	`associate-/l*_binary64_1728`
264×	`times-frac_binary64_1789`
243×	`associate-/r*_binary64_1727`
197×	`*-commutative_binary64_1714`
156×	`associate-*l/_binary64_1726`
147×	`associate-*r/_binary64_1725`
90×	`+-commutative_binary64_1713`
77×	`sub-neg_binary64_1776`
67×	`associate-/l/_binary64_1730`
66×	`associate-/r/_binary64_1729`
52×	`associate-+r+_binary64_1715`
48×	`sqr-pow_binary64_1755`
45×	`distribute-rgt-in_binary64_1733`
40×	`distribute-lft-in_binary64_1732`
39×	`cancel-sign-sub-inv_binary64_1749`
31×	`distribute-neg-in_binary64_1744`
27×	`neg-sub0_binary64_1778` `unswap-sqr_binary64_1751`
26×	`neg-mul-1_binary64_1779`
23×	`exp-prod_binary64_1835`
19×	`distribute-rgt-neg-in_binary64_1741`
15×	`distribute-lft-neg-in_binary64_1740`
14×	`div-exp_binary64_1834` `associate--l+_binary64_1720` `associate--r+_binary64_1719`
13×	`distribute-neg-frac_binary64_1747`
12×	`exp-sum_binary64_1829`
10×	`swap-sqr_binary64_1750`
9×	`unpow3_binary64_1849` `cube-mult_binary64_1813`
8×	`prod-exp_binary64_1832`
7×	`log-div_binary64_1870` `log-prod_binary64_1869` `/-rgt-identity_binary64_1774` `distribute-rgt-out_binary64_1736`
6×	`unpow2_binary64_1848` `unpow1_binary64_1841` `cube-unmult_binary64_1820` `pow-sqr_binary64_1756`
5×	`distribute-lft-out_binary64_1734`
3×	`rec-exp_binary64_1833` `cube-prod_binary64_1811` `distribute-lft-neg-out_binary64_1742` `distribute-rgt-out--_binary64_1737` `associate-+r-_binary64_1717`
2×	`log-pow_binary64_1872` `pow-base-1_binary64_1843` `exp-diff_binary64_1831` `mul-1-neg_binary64_1775` `distribute-rgt1-in_binary64_1739`
1×	`log-rec_binary64_1871` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `exp-neg_binary64_1830` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `rem-sqrt-square_binary64_1796` `*-rgt-identity_binary64_1773` `difference-of-squares_binary64_1752` `distribute-rgt-neg-out_binary64_1743` `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` `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` `exp-sqrt_binary64_1836` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `div-sub_binary64_1788` `unsub-neg_binary64_1777` `-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` `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` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft-out--_binary64_1735` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l-_binary64_1718` `associate-+l+_binary64_1716`

Counts

247 → 231

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	537	8676
1	1496	8317
2	5853	8317

prune240.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	231	2	233

Error

0.0b

Counts

233 → 2

Compiler

Compiled 6762 to 1033 computations (84.7% saved)

regimes1.1s (6.5%)

Accuracy

Total 0.5b remaining (96.6%)

Threshold costs 0.5b (96.6%)

Compiler

Compiled 12661 to 10782 computations (14.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_1714` `+-commutative_binary64_1713`
8×	`sub-neg_binary64_1776`
7×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
3×	`unsub-neg_binary64_1777`
2×	`distribute-neg-out_binary64_1745`
1×	`e-exp-1_binary64_1828` `1-exp_binary64_1827` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742` `distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`
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` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `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-in_binary64_1744`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	27
1	31	27
2	42	27
3	55	25
4	64	25
5	69	25
6	72	25
7	73	25
8	73	25

end0.0ms (0%)

sample4.5s (25.8%)

Algorithm

1×

intervals

Results

895.0ms	10801×	body	128	nan
609.0ms	7361×	body	128	valid
449.0ms	5407×	body	128	invalid
82.0ms	276×	body	512	valid
65.0ms	113×	body	1024	valid
44.0ms	250×	body	256	valid
37.0ms	128×	body	512	invalid
22.0ms	127×	body	256	invalid
16.0ms	30×	body	1024	invalid

Compiler

Compiled 1376 to 1175 computations (14.6% saved)

Details

analyze1.0s (5.7%)

sample120.0ms (0.7%)

simplify59.0ms (0.3%)

prune5.0ms (0%)

localize15.0ms (0.1%)

rewrite213.0ms (1.2%)

series1.7s (9.8%)

simplify125.0ms (0.7%)

prune167.0ms (1%)

localize13.0ms (0.1%)

rewrite175.0ms (1%)

series2.3s (13.2%)

simplify165.0ms (0.9%)

prune185.0ms (1%)

localize20.0ms (0.1%)

rewrite186.0ms (1.1%)

series1.6s (8.9%)

simplify156.0ms (0.9%)

prune172.0ms (1%)

localize13.0ms (0.1%)

rewrite202.0ms (1.2%)

series2.9s (16.5%)

simplify159.0ms (0.9%)

prune240.0ms (1.4%)

regimes1.1s (6.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.5s (25.8%)

Profiling