Details

analyze1.0s (4.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample88.0ms (0.4%)

Algorithm

1×

intervals

Results

24.0ms	349×	body	128	nan
20.0ms	256×	body	128	valid
2.0ms	30×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify303.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

585×	`sub-neg_binary64_1776`
494×	`associate-+l+_binary64_1716`
429×	`+-commutative_binary64_1713`
411×	`associate-+r+_binary64_1715`
403×	`unsub-neg_binary64_1777`
361×	`distribute-neg-in_binary64_1744`
324×	`associate--r-_binary64_1722`
322×	`exp-prod_binary64_1835`
275×	`associate--r+_binary64_1719`
233×	`associate--l+_binary64_1720`
193×	`associate--l-_binary64_1721`
160×	`cancel-sign-sub-inv_binary64_1749`
109×	`associate-+l-_binary64_1718`
103×	`neg-mul-1_binary64_1779`
102×	`associate-r_binary64_1723`
81×	`associate-+r-_binary64_1717`
74×	`distribute-rgt-out_binary64_1736`
69×	`distribute-rgt-out--_binary64_1737`
65×	`associate-l_binary64_1724`
62×	`neg-sub0_binary64_1778`
59×	`+-rgt-identity_binary64_1768`
44×	`sub0-neg_binary64_1770`
40×	`distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734`
28×	`distribute-rgt-in_binary64_1733`
19×	`distribute-rgt-neg-in_binary64_1741`
16×	`distribute-lft-neg-in_binary64_1740`
15×	`*-commutative_binary64_1714`
11×	`distribute-lft-in_binary64_1732`
10×	`distribute-lft-neg-out_binary64_1742`
8×	`distribute-rgt1-in_binary64_1739`
6×	`distribute-rgt-neg-out_binary64_1743`
4×	`--rgt-identity_binary64_1769`
3×	`count-2_binary64_1731`
2×	`remove-double-neg_binary64_1771` `mul0-lft_binary64_1765`
1×	`exp-to-pow_binary64_1845` `exp-lft-sqr_binary64_1838` `1-exp_binary64_1827` `mul0-rgt_binary64_1766`
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` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `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` `times-frac_binary64_1789` `div-sub_binary64_1788` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `+-lft-identity_binary64_1767` `div0_binary64_1764` `-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `sqr-pow_binary64_1755` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `swap-sqr_binary64_1750` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft1-in_binary64_1738` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-*r/_binary64_1725`

Counts

1 → 6

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	39	32
2	102	32
3	359	32
4	1035	32
5	1618	32
6	2475	32
7	4637	32

prune8.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

0.1b

Counts

7 → 1

Compiler

Compiled 147 to 77 computations (47.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite183.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-log-exp_binary64_1822`
20×	`add-sqr-sqrt_binary64_1805`
18×	`log-prod_binary64_1869`
16×	`*-un-lft-identity_binary64_1783` `sum-log_binary64_1874`
14×	`add-cube-cbrt_binary64_1818`
10×	`pow1_binary64_1844`
9×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
8×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-l_binary64_1724` `associate-r_binary64_1723`
7×	`associate-+l+_binary64_1716`
2×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `log-pow_binary64_1872` `-commutative_binary64_1714` `associate-l/_binary64_1726` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`
1×	`flip3--_binary64_1787` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`

Counts

4 → 87

Calls

4 calls:

22.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
6.0ms	(*.f64 x (log.f64 y))
5.0ms	(+.f64 (*.f64 x (log.f64 y)) z)

Compiler

Compiled 2571 to 921 computations (64.2% saved)

series3.2s (15.2%)

Error

0.1b

Counts

4 → 74

Calls

4 calls:

2.4s	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
311.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
268.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
194.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 3858 to 2724 computations (29.4% saved)

simplify1.3s (6%)

Algorithm

1×	egg-herbie

Rules

471×	`associate--l+_binary64_1720`
446×	`+-commutative_binary64_1713`
329×	`*-commutative_binary64_1714`
204×	`exp-sum_binary64_1829`
169×	`cancel-sign-sub-inv_binary64_1749`
165×	`associate-l_binary64_1724`
155×	`associate-+r+_binary64_1715`
148×	`exp-diff_binary64_1831`
146×	`associate-+l+_binary64_1716`
136×	`associate-r_binary64_1723`
123×	`associate-+r-_binary64_1717`
116×	`sub-neg_binary64_1776`
112×	`associate--r+_binary64_1719`
110×	`exp-prod_binary64_1835`
102×	`associate-+l-_binary64_1718`
94×	`distribute-lft-neg-out_binary64_1742`
87×	`distribute-rgt-in_binary64_1733`
83×	`distribute-rgt-neg-out_binary64_1743`
76×	`distribute-lft-in_binary64_1732`
70×	`log-prod_binary64_1869` `distribute-rgt-neg-in_binary64_1741`
64×	`cube-prod_binary64_1811`
58×	`unsub-neg_binary64_1777`
51×	`sqr-pow_binary64_1755`
50×	`distribute-neg-in_binary64_1744`
48×	`distribute-lft-neg-in_binary64_1740`
45×	`prod-exp_binary64_1832` `neg-sub0_binary64_1778`
44×	`neg-mul-1_binary64_1779`
33×	`exp-to-pow_binary64_1845`
28×	`-rgt-identity_binary64_1773` `-lft-identity_binary64_1772`
27×	`distribute-rgt-out_binary64_1736`
20×	`associate--r-_binary64_1722`
19×	`pow-sqr_binary64_1756`
16×	`div-sub_binary64_1788` `swap-sqr_binary64_1750`
15×	`unpow3_binary64_1849`
13×	`distribute-rgt-out--_binary64_1737`
12×	`distribute-lft-out_binary64_1734`
11×	`cube-mult_binary64_1813` `associate--l-_binary64_1721`
10×	`unswap-sqr_binary64_1751`
9×	`cube-neg_binary64_1810`
7×	`cube-unmult_binary64_1820` `sqr-neg_binary64_1797` `associate-*r/_binary64_1725`
6×	`exp-neg_binary64_1830` `associate-*l/_binary64_1726`
5×	`log-div_binary64_1870` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
4×	`unpow1/2_binary64_1847` `mul-1-neg_binary64_1775` `mul0-rgt_binary64_1766` `count-2_binary64_1731`
3×	`log-rec_binary64_1871` `remove-double-neg_binary64_1771` `distribute-neg-out_binary64_1745`
2×	`log-pow_binary64_1872` `pow-base-1_binary64_1843` `div-exp_binary64_1834` `rem-exp-log_binary64_1823` `mul0-lft_binary64_1765` `cancel-sign-sub_binary64_1748` `distribute-rgt1-in_binary64_1739`
1×	`pow-plus_binary64_1846` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `+-inverses_binary64_1762` `distribute-frac-neg_binary64_1746` `associate-/l/_binary64_1730` `associate-/l*_binary64_1728`
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` `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` `rec-exp_binary64_1833` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `cube-div_binary64_1812` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `/-rgt-identity_binary64_1774` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `div0_binary64_1764` `-inverses_binary64_1763` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `distribute-neg-frac_binary64_1747` `distribute-lft1-in_binary64_1738` `associate-/r/_binary64_1729` `associate-/r_binary64_1727`

Counts

161 → 311

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	265	3051
1	649	2776
2	2141	2710
3	4271	2698

prune473.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	306	5	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	307	5	312

Error

0.0b

Counts

312 → 5

Compiler

Compiled 9948 to 3054 computations (69.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 (log.f64 (cbrt.f64 y)) x)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite163.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`log-prod_binary64_1869` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
19×	`add-sqr-sqrt_binary64_1805`
18×	`cbrt-prod_binary64_1814`
17×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`pow1_binary64_1844`
11×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723`
3×	`pow1/3_binary64_1865`
2×	`log-pow_binary64_1872` `*-commutative_binary64_1714`
1×	`unswap-sqr_binary64_1751`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
5.0ms	(*.f64 (log.f64 (cbrt.f64 y)) x)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3079 to 1316 computations (57.3% saved)

series1.1s (5.3%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

438.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
415.0ms	(*.f64 (log.f64 (cbrt.f64 y)) x)
125.0ms	(cbrt.f64 y)
124.0ms	(cbrt.f64 y)

Compiler

Compiled 1746 to 1372 computations (21.4% saved)

simplify2.3s (11%)

Algorithm

1×	egg-herbie

Rules

554×	`distribute-rgt-out_binary64_1736`
351×	`*-commutative_binary64_1714`
312×	`log-prod_binary64_1869`
257×	`associate-/l/_binary64_1730`
206×	`cancel-sign-sub-inv_binary64_1749`
173×	`distribute-lft-neg-in_binary64_1740`
172×	`distribute-rgt-neg-in_binary64_1741`
170×	`sqr-pow_binary64_1755`
165×	`associate-l_binary64_1724`
161×	`associate-r_binary64_1723`
154×	`exp-prod_binary64_1835`
153×	`times-frac_binary64_1789`
137×	`cube-prod_binary64_1811`
114×	`swap-sqr_binary64_1750`
111×	`count-2_binary64_1731`
93×	`distribute-rgt-in_binary64_1733`
90×	`log-div_binary64_1870`
89×	`distribute-lft-in_binary64_1732`
88×	`exp-to-pow_binary64_1845` `associate-+l+_binary64_1716`
87×	`exp-sum_binary64_1829` `associate-/r*_binary64_1727`
85×	`unswap-sqr_binary64_1751`
81×	`associate-+r+_binary64_1715`
77×	`pow-sqr_binary64_1756`
71×	`distribute-neg-in_binary64_1744`
65×	`associate-/l*_binary64_1728`
57×	`distribute-rgt1-in_binary64_1739`
51×	`neg-mul-1_binary64_1779`
50×	`log-pow_binary64_1872`
46×	`neg-sub0_binary64_1778`
35×	`cube-div_binary64_1812`
33×	`distribute-neg-out_binary64_1745` `distribute-rgt-out--_binary64_1737`
31×	`distribute-neg-frac_binary64_1747`
29×	`sub-neg_binary64_1776`
27×	`distribute-lft-neg-out_binary64_1742` `associate--r+_binary64_1719`
25×	`distribute-rgt-neg-out_binary64_1743`
22×	`/-rgt-identity_binary64_1774`
17×	`log-rec_binary64_1871` `unsub-neg_binary64_1777` `*-rgt-identity_binary64_1773` `distribute-lft1-in_binary64_1738`
16×	`unpow3_binary64_1849`
14×	`*-lft-identity_binary64_1772`
13×	`cube-unmult_binary64_1820`
12×	`pow-plus_binary64_1846` `cube-mult_binary64_1813` `distribute-lft-out_binary64_1734`
11×	`rem-sqrt-square_binary64_1796`
10×	`unpow1/3_binary64_1850` `div-exp_binary64_1834`
9×	`exp-lft-sqr_binary64_1838` `distribute-lft-out--_binary64_1735` `associate-*r/_binary64_1725` `+-commutative_binary64_1713`
8×	`exp-sqrt_binary64_1836` `exp-diff_binary64_1831`
6×	`prod-exp_binary64_1832` `associate-*l/_binary64_1726`
3×	`rem-exp-log_binary64_1823` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `associate-/r/_binary64_1729`
2×	`rem-log-exp_binary64_1824` `mul0-rgt_binary64_1766`
1×	`log-E_binary64_1873` `pow-base-1_binary64_1843` `rec-exp_binary64_1833` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `div-sub_binary64_1788` `mul-1-neg_binary64_1775` `*-inverses_binary64_1763` `distribute-frac-neg_binary64_1746`
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` `pow-base-0_binary64_1867` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `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` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `mul0-lft_binary64_1765` `div0_binary64_1764` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

102 → 472

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	1437
1	271	1306
2	756	1300
3	1545	1300
4	2943	1216

prune984.0ms (4.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	470	2	472
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	471	6	477

Error

0.0b

Counts

477 → 6

Compiler

Compiled 18201 to 7515 computations (58.7% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(.f64 (neg.f64 (log.f64 y)) (.f64 x -1/3))
0.3b	(*.f64 x -1/3)
0.6b	(cbrt.f64 y)

rewrite202.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`log-prod_binary64_1869` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
21×	`add-sqr-sqrt_binary64_1805`
19×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`pow1_binary64_1844` `associate-l_binary64_1724`
16×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
15×	`cbrt-prod_binary64_1814`
7×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
5×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`
3×	`*-commutative_binary64_1714`
2×	`log-pow_binary64_1872`
1×	`pow1/3_binary64_1865` `unswap-sqr_binary64_1751` `distribute-lft-neg-out_binary64_1742` `neg-mul-1_binary64_1779`

Counts

4 → 99

Calls

4 calls:

7.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
7.0ms	(.f64 (neg.f64 (log.f64 y)) (.f64 x -1/3))
4.0ms	(*.f64 x -1/3)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3811 to 1870 computations (50.9% saved)

series859.0ms (4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

445.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
228.0ms	(.f64 (neg.f64 (log.f64 y)) (.f64 x -1/3))
130.0ms	(cbrt.f64 y)
29.0ms	(*.f64 x -1/3)

Compiler

Compiled 1794 to 1417 computations (21% saved)

simplify352.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

296×	`distribute-lft-neg-out_binary64_1742`
285×	`distribute-rgt-neg-out_binary64_1743`
283×	`associate-r_binary64_1723`
277×	`associate-l_binary64_1724`
274×	`distribute-rgt-neg-in_binary64_1741`
223×	`distribute-lft-neg-in_binary64_1740`
212×	`log-prod_binary64_1869`
208×	`neg-sub0_binary64_1778`
203×	`neg-mul-1_binary64_1779`
189×	`times-frac_binary64_1789`
166×	`unsub-neg_binary64_1777`
153×	`distribute-rgt-in_binary64_1733`
147×	`sqr-pow_binary64_1755`
146×	`distribute-lft-in_binary64_1732`
142×	`exp-prod_binary64_1835` `distribute-rgt-out_binary64_1736`
120×	`cube-prod_binary64_1811`
114×	`distribute-neg-in_binary64_1744`
113×	`exp-sum_binary64_1829`
103×	`swap-sqr_binary64_1750`
91×	`*-commutative_binary64_1714`
89×	`unswap-sqr_binary64_1751`
80×	`cancel-sign-sub-inv_binary64_1749`
60×	`remove-double-neg_binary64_1771`
52×	`*-rgt-identity_binary64_1773`
47×	`pow-sqr_binary64_1756`
45×	`*-lft-identity_binary64_1772`
39×	`sub-neg_binary64_1776`
33×	`log-div_binary64_1870`
28×	`associate-+r+_binary64_1715`
27×	`exp-to-pow_binary64_1845` `associate-/r*_binary64_1727`
24×	`log-pow_binary64_1872`
22×	`associate-+l+_binary64_1716`
20×	`mul0-rgt_binary64_1766` `distribute-rgt1-in_binary64_1739`
19×	`unpow3_binary64_1849`
18×	`mul0-lft_binary64_1765`
17×	`cube-mult_binary64_1813`
14×	`cube-unmult_binary64_1820`
13×	`sqr-neg_binary64_1797` `+-commutative_binary64_1713`
11×	`exp-diff_binary64_1831`
9×	`cube-neg_binary64_1810`
8×	`div-sub_binary64_1788` `associate-/l*_binary64_1728`
7×	`exp-neg_binary64_1830`
6×	`associate--r+_binary64_1719`
5×	`rem-sqrt-square_binary64_1796` `associate-+r-_binary64_1717`
4×	`log-rec_binary64_1871` `unpow1/3_binary64_1850` `exp-lft-sqr_binary64_1838` `distribute-neg-out_binary64_1745` `distribute-rgt-out--_binary64_1737` `count-2_binary64_1731`
3×	`pow-plus_binary64_1846` `prod-exp_binary64_1832` `distribute-frac-neg_binary64_1746`
2×	`div-exp_binary64_1834` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `mul-1-neg_binary64_1775` `+-lft-identity_binary64_1767` `distribute-lft1-in_binary64_1738` `associate-/l/_binary64_1730` `associate-*r/_binary64_1725` `associate--r-_binary64_1722`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-3cbrt-lft_binary64_1808` `/-rgt-identity_binary64_1774` `sub0-neg_binary64_1770` `+-rgt-identity_binary64_1768` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `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` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `rec-exp_binary64_1833` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `cube-div_binary64_1812` `rem-3cbrt-rft_binary64_1809` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `rem-square-sqrt_binary64_1795` `--rgt-identity_binary64_1769` `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` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734` `associate-/r/_binary64_1729` `associate-*l/_binary64_1726` `associate--l-_binary64_1721` `associate--l+_binary64_1720`

Counts

117 → 357

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1676
1	387	1496
2	1316	1466
3	2767	1466

prune801.0ms (3.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	357	0	357
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	357	6	363

Error

0.0b

Counts

363 → 6

Compiler

Compiled 14224 to 6996 computations (50.8% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2)))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite207.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
30×	`log-prod_binary64_1869`
24×	`associate-+l+_binary64_1716`
22×	`add-sqr-sqrt_binary64_1805`
20×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`cbrt-prod_binary64_1814`
8×	`associate-+r+_binary64_1715`
7×	`pow1_binary64_1844`
6×	`add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `cancel-sign-sub-inv_binary64_1749`
4×	`flip3--_binary64_1787` `associate-r/_binary64_1725` `associate-l/_binary64_1726` `frac-add_binary64_1791` `flip--_binary64_1758` `associate-r_binary64_1723`
3×	`associate-l_binary64_1724`
2×	`pow1/3_binary64_1865` `sub-neg_binary64_1776`
1×	`sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `log-pow_binary64_1872` `*-commutative_binary64_1714`

Counts

4 → 94

Calls

4 calls:

15.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2)))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

Compiler

Compiled 3962 to 1690 computations (57.3% saved)

series1.4s (6.6%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

901.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2)))
214.0ms	(*.f64 x (log.f64 y))
123.0ms	(cbrt.f64 c)
119.0ms	(cbrt.f64 c)

Compiler

Compiled 1943 to 1471 computations (24.3% saved)

simplify265.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

915×	`distribute-rgt-in_binary64_1733`
892×	`distribute-lft-in_binary64_1732`
228×	`associate-l_binary64_1724`
212×	`associate-r_binary64_1723`
195×	`distribute-rgt-out_binary64_1736`
126×	`cancel-sign-sub-inv_binary64_1749`
111×	`*-commutative_binary64_1714`
100×	`distribute-lft-out_binary64_1734`
95×	`distribute-rgt-neg-in_binary64_1741`
79×	`distribute-lft-neg-in_binary64_1740`
62×	`sqr-pow_binary64_1755`
49×	`distribute-lft-neg-out_binary64_1742`
45×	`log-prod_binary64_1869`
40×	`distribute-rgt-out--_binary64_1737`
38×	`sub-neg_binary64_1776`
36×	`distribute-rgt-neg-out_binary64_1743`
35×	`exp-prod_binary64_1835`
34×	`neg-sub0_binary64_1778`
33×	`cube-prod_binary64_1811` `neg-mul-1_binary64_1779`
32×	`swap-sqr_binary64_1750` `+-commutative_binary64_1713`
24×	`distribute-neg-in_binary64_1744`
23×	`pow-sqr_binary64_1756`
15×	`distribute-lft-out--_binary64_1735`
14×	`unswap-sqr_binary64_1751`
13×	`*-rgt-identity_binary64_1773`
12×	`log-pow_binary64_1872` `*-lft-identity_binary64_1772` `distribute-rgt1-in_binary64_1739` `associate-+r+_binary64_1715`
11×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `associate-+l+_binary64_1716`
9×	`exp-sum_binary64_1829`
7×	`cube-unmult_binary64_1820`
6×	`exp-to-pow_binary64_1845`
5×	`log-div_binary64_1870`
4×	`mul-1-neg_binary64_1775` `difference-of-squares_binary64_1752` `distribute-lft1-in_binary64_1738`
3×	`exp-lft-sqr_binary64_1838` `prod-exp_binary64_1832` `rem-sqrt-square_binary64_1796`
2×	`log-rec_binary64_1871` `unpow1/3_binary64_1850` `exp-diff_binary64_1831` `rem-exp-log_binary64_1823` `unsub-neg_binary64_1777` `associate-/r*_binary64_1727`
1×	`pow-plus_binary64_1846` `div-exp_binary64_1834` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-3cbrt-lft_binary64_1808` `div-sub_binary64_1788` `remove-double-neg_binary64_1771` `mul0-rgt_binary64_1766` `+-inverses_binary64_1762` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `pow-base-0_binary64_1867` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `rec-exp_binary64_1833` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `cube-div_binary64_1812` `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` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `/-rgt-identity_binary64_1774` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-lft_binary64_1765` `div0_binary64_1764` `-inverses_binary64_1763` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/l_binary64_1728` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719`

Counts

115 → 247

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2144
1	479	1875
2	1786	1582

prune528.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	247	6	253

Error

0.0b

Counts

253 → 6

Compiler

Compiled 10837 to 4729 computations (56.4% saved)

regimes1.6s (7.4%)

Accuracy

Total 0.1b remaining (87.7%)

Threshold costs 0.1b (87.7%)

Compiler

Compiled 18583 to 15805 computations (14.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64_1714` `+-commutative_binary64_1713`
7×	`sub-neg_binary64_1776`
6×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
3×	`distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`
2×	`cancel-sign-sub-inv_binary64_1749`
1×	`unsub-neg_binary64_1777` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `unpow1_binary64_1841` `e-exp-1_binary64_1828` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `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`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	50
1	50	48
2	61	48
3	75	48
4	83	48
5	88	48
6	90	48

Proof

(+ f64 (+ f64 (+ f64 (+ f64 (+ f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (=> (* f64 (neg f64 (log f64 h1)) (* f64 h0 -1/3)))) h2) h3) h4) (* f64 (- f64 h5 1/2) (log f64 h6))) (* f64 h1 h7))
distribute-lft-neg-out_binary64_1742 =>
(+ f64 (+ f64 (+ f64 (+ f64 (+ f64 (=> (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (neg f64 (* f64 (log f64 h1) (* f64 h0 -1/3))))) h2) h3) h4) (* f64 (- f64 h5 1/2) (log f64 h6))) (* f64 h1 h7))
unsub-neg_binary64_1777 =>
(+ f64 (+ f64 (+ f64 (+ f64 (+ f64 (- f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 (log f64 h1) (* f64 h0 -1/3))) h2) h3) h4) (* f64 (- f64 h5 1/2) (log f64 h6))) (* f64 h1 h7))

end0.0ms (0%)

sample3.7s (17.7%)

Algorithm

1×

intervals

Results

703.0ms	9796×	body	128	nan
663.0ms	7997×	body	128	valid
93.0ms	1189×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 1584 to 1347 computations (15% saved)

Details

analyze1.0s (4.9%)

sample88.0ms (0.4%)

simplify303.0ms (1.4%)

prune8.0ms (0%)

localize18.0ms (0.1%)

rewrite183.0ms (0.9%)

series3.2s (15.2%)

simplify1.3s (6%)

prune473.0ms (2.2%)

localize26.0ms (0.1%)

rewrite163.0ms (0.8%)

series1.1s (5.3%)

simplify2.3s (11%)

prune984.0ms (4.6%)

localize27.0ms (0.1%)

rewrite202.0ms (1%)

series859.0ms (4%)

simplify352.0ms (1.7%)

prune801.0ms (3.8%)

localize25.0ms (0.1%)

rewrite207.0ms (1%)

series1.4s (6.6%)

simplify265.0ms (1.3%)

prune528.0ms (2.5%)

regimes1.6s (7.4%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.7s (17.7%)

Profiling