Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample40.0ms (0%)

Algorithm

1×

intervals

Results

8.0ms	59×	body	1024	valid
5.0ms	134×	body	128	valid
4.0ms	37×	body	512	valid
2.0ms	10×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify1.1s (0.8%)

Algorithm

1×	egg-herbie

Rules

1216×	`exp-prod_binary64_1835`
627×	`associate-/l/_binary64_1730`
551×	`distribute-rgt-out--_binary64_1737`
523×	`distribute-rgt-out_binary64_1736`
496×	`cube-prod_binary64_1811`
433×	`swap-sqr_binary64_1750`
357×	`associate-/r*_binary64_1727`
319×	`distribute-rgt-neg-in_binary64_1741`
301×	`exp-diff_binary64_1831`
260×	`cube-div_binary64_1812`
257×	`sub-neg_binary64_1776`
256×	`exp-sum_binary64_1829`
179×	`associate--r-_binary64_1722`
172×	`*-commutative_binary64_1714`
170×	`unsub-neg_binary64_1777` `cancel-sign-sub-inv_binary64_1749`
148×	`div-sub_binary64_1788`
130×	`pow-plus_binary64_1846`
125×	`associate--l-_binary64_1721`
112×	`associate-+r-_binary64_1717`
73×	`associate-+l-_binary64_1718` `+-commutative_binary64_1713`
55×	`associate-/l*_binary64_1728`
51×	`associate-/r/_binary64_1729`
49×	`distribute-lft-neg-in_binary64_1740`
47×	`distribute-neg-out_binary64_1745`
46×	`distribute-rgt1-in_binary64_1739`
36×	`neg-mul-1_binary64_1779` `distribute-rgt-in_binary64_1733`
34×	`neg-sub0_binary64_1778`
25×	`sqr-pow_binary64_1755`
21×	`distribute-neg-in_binary64_1744`
19×	`associate-r_binary64_1723`
18×	`pow-base-1_binary64_1843`
17×	`distribute-frac-neg_binary64_1746` `associate--r+_binary64_1719`
16×	`distribute-lft-in_binary64_1732` `associate-+l+_binary64_1716`
15×	`+-inverses_binary64_1762` `pow-sqr_binary64_1756` `difference-of-squares_binary64_1752`
14×	`associate-+r+_binary64_1715`
13×	`count-2_binary64_1731`
12×	`cube-unmult_binary64_1820` `distribute-lft1-in_binary64_1738`
10×	`distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742` `associate--l+_binary64_1720`
9×	`exp-lft-sqr_binary64_1838` `remove-double-neg_binary64_1771`
7×	`distribute-neg-frac_binary64_1747`
6×	`-rgt-identity_binary64_1773` `-lft-identity_binary64_1772`
5×	`sub0-neg_binary64_1770` `+-rgt-identity_binary64_1768` `associate-l_binary64_1724`
4×	`+-lft-identity_binary64_1767`
3×	`exp-sqrt_binary64_1836` `--rgt-identity_binary64_1769` `difference-of-sqr--1_binary64_1754` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734`
2×	`exp-neg_binary64_1830` `sqr-neg_binary64_1797` `mul0-lft_binary64_1765`
1×	`unpow3_binary64_1849` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `div0_binary64_1764` `*-inverses_binary64_1763`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-mult_binary64_1813` `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` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `mul0-rgt_binary64_1766` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr-1_binary64_1753` `unswap-sqr_binary64_1751` `cancel-sign-sub_binary64_1748` `associate-l/_binary64_1726` `associate-r/_binary64_1725`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	30	11
5	45	11
6	93	11
7	217	11
8	1867	11
9	3119	11

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

30.1b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
1.7b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite52.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

15×	`sqrt-prod_binary64_1799`
14×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749`
5×	`add-cube-cbrt_binary64_1818`
4×	`add-log-exp_binary64_1822` `difference-of-squares_binary64_1752`
3×	`pow1_binary64_1844` `distribute-lft-out--_binary64_1735`
2×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `distribute-lft-out_binary64_1734` `sqrt-div_binary64_1800`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `flip3-+_binary64_1786` `flip-+_binary64_1757` `rem-sqrt-square_binary64_1796`

Counts

2 → 40

Calls

2 calls:

7.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 571 to 370 computations (35.2% saved)

series43.0ms (0%)

Error

29.3b

Counts

2 → 9

Calls

2 calls:

31.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
7.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 245 to 193 computations (21.2% saved)

simplify165.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

468×	`associate-/l/_binary64_1730`
406×	`cancel-sign-sub-inv_binary64_1749`
246×	`associate-r_binary64_1723`
243×	`associate-l_binary64_1724`
211×	`distribute-rgt-neg-in_binary64_1741`
201×	`unswap-sqr_binary64_1751`
173×	`distribute-lft-neg-in_binary64_1740`
171×	`distribute-rgt-out_binary64_1736`
153×	`times-frac_binary64_1789`
129×	`unsub-neg_binary64_1777`
110×	`distribute-lft-neg-out_binary64_1742`
100×	`distribute-neg-frac_binary64_1747`
96×	`distribute-lft-out_binary64_1734`
94×	`div-sub_binary64_1788` `distribute-rgt-neg-out_binary64_1743`
91×	`sub-neg_binary64_1776`
86×	`distribute-rgt-out--_binary64_1737`
76×	`sqr-pow_binary64_1755`
72×	`neg-sub0_binary64_1778`
67×	`exp-prod_binary64_1835` `difference-of-squares_binary64_1752`
66×	`associate-/l_binary64_1728` `-commutative_binary64_1714`
63×	`associate-/r*_binary64_1727`
60×	`distribute-rgt-in_binary64_1733`
52×	`distribute-lft-in_binary64_1732`
47×	`+-commutative_binary64_1713`
46×	`pow-sqr_binary64_1756`
45×	`neg-mul-1_binary64_1779`
40×	`distribute-lft-out--_binary64_1735`
38×	`associate-+l+_binary64_1716`
30×	`exp-sum_binary64_1829`
29×	`associate-+r+_binary64_1715`
28×	`*-rgt-identity_binary64_1773` `swap-sqr_binary64_1750`
27×	`pow-plus_binary64_1846`
26×	`cube-prod_binary64_1811`
24×	`distribute-frac-neg_binary64_1746`
23×	`*-lft-identity_binary64_1772` `distribute-rgt1-in_binary64_1739`
18×	`associate--l+_binary64_1720`
16×	`/-rgt-identity_binary64_1774` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `associate-+r-_binary64_1717`
15×	`mul-1-neg_binary64_1775` `+-rgt-identity_binary64_1768` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
14×	`associate-+l-_binary64_1718`
12×	`associate-/r/_binary64_1729`
11×	`distribute-neg-in_binary64_1744`
10×	`cube-div_binary64_1812` `sub0-neg_binary64_1770`
9×	`exp-diff_binary64_1831` `cube-unmult_binary64_1820` `rem-sqrt-square_binary64_1796`
8×	`unpow3_binary64_1849` `exp-sqrt_binary64_1836`
7×	`exp-neg_binary64_1830`
6×	`pow-base-1_binary64_1843` `cube-mult_binary64_1813`
5×	`difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753`
4×	`prod-exp_binary64_1832`
3×	`sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `div0_binary64_1764` `+-inverses_binary64_1762` `distribute-lft1-in_binary64_1738` `count-2_binary64_1731`
2×	`log-div_binary64_1870` `log-prod_binary64_1869` `div-exp_binary64_1834`
1×	`unpow2_binary64_1848` `unpow1_binary64_1841` `exp-lft-sqr_binary64_1838` `rec-exp_binary64_1833` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-3cbrt-lft_binary64_1808` `remove-double-neg_binary64_1771` `*-inverses_binary64_1763` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `associate--r-_binary64_1722` `associate--r+_binary64_1719`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `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-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `--rgt-identity_binary64_1769` `+-lft-identity_binary64_1767` `lft-mult-inverse_binary64_1761` `cancel-sign-sub_binary64_1748` `distribute-neg-out_binary64_1745` `associate--l-_binary64_1721`

Counts

49 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	637
1	214	614
2	548	608
3	2200	603

prune50.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Error

0.1b

Counts

83 → 2

Compiler

Compiled 1322 to 853 computations (35.5% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

rewrite81.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`*-un-lft-identity_binary64_1783`
24×	`sqrt-prod_binary64_1799`
21×	`distribute-lft-out_binary64_1734`
18×	`times-frac_binary64_1789`
16×	`add-sqr-sqrt_binary64_1805`
15×	`add-cube-cbrt_binary64_1818`
7×	`add-exp-log_binary64_1821`
6×	`associate-/r*_binary64_1727`
5×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l*_binary64_1728`
2×	`div-exp_binary64_1834` `associate-/r/_binary64_1729` `sqrt-div_binary64_1800`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857` `1-exp_binary64_1827` `rec-exp_binary64_1833` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

3 → 75

Calls

3 calls:

8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
6.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1268 to 926 computations (27% saved)

series32.0ms (0%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
8.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 268 to 232 computations (13.4% saved)

simplify655.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

87 → 219

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1488
1	231	1255
2	563	1219
3	1887	1216

prune193.0ms (0.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	211	8	219
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	211	10	221

Error

0.0b

Counts

221 → 10

Compiler

Compiled 4213 to 3128 computations (25.8% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.1b	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.2b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))

rewrite826.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

742×	`*-un-lft-identity_binary64_1783`
700×	`sqrt-prod_binary64_1799`
594×	`times-frac_binary64_1789`
280×	`distribute-lft-out_binary64_1734`
254×	`add-sqr-sqrt_binary64_1805`
252×	`add-cube-cbrt_binary64_1818`
36×	`associate-/l*_binary64_1728`
28×	`sqrt-div_binary64_1800`
24×	`associate-/r/_binary64_1729`
18×	`associate-/r*_binary64_1727`
17×	`add-exp-log_binary64_1821`
14×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
12×	`div-inv_binary64_1780`
11×	`add-cbrt-cube_binary64_1819`
8×	`pow1_binary64_1844` `div-exp_binary64_1834`
4×	`add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817`
3×	`pow1/2_binary64_1863` `pow-flip_binary64_1857` `sqrt-pow1_binary64_1801`
2×	`1-exp_binary64_1827` `rec-exp_binary64_1833` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `rem-sqrt-square_binary64_1796`
1×	`associate-/l/_binary64_1730` `inv-pow_binary64_1868`

Counts

4 → 453

Calls

4 calls:

27.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
12.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
9.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
7.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

Compiler

Compiled 16882 to 12492 computations (26% saved)

series47.0ms (0%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
11.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
10.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
8.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))

Compiler

Compiled 545 to 470 computations (13.8% saved)

simplify24.3s (18.4%)

Algorithm

1×	egg-herbie

Rules

765×	`div-sub_binary64_1788`
520×	`associate-/r/_binary64_1729`
341×	`associate-*l/_binary64_1726`
281×	`unsub-neg_binary64_1777` `associate-*r/_binary64_1725`
266×	`associate-l_binary64_1724`
211×	`distribute-rgt-neg-out_binary64_1743`
206×	`distribute-rgt-in_binary64_1733`
187×	`associate-r_binary64_1723`
182×	`distribute-lft-in_binary64_1732`
174×	`sub-neg_binary64_1776`
171×	`associate-/l/_binary64_1730`
166×	`log-prod_binary64_1869`
157×	`distribute-neg-in_binary64_1744`
152×	`exp-sum_binary64_1829`
124×	`associate-/l*_binary64_1728`
121×	`times-frac_binary64_1789`
112×	`*-commutative_binary64_1714`
101×	`sqr-pow_binary64_1755` `swap-sqr_binary64_1750`
100×	`log-div_binary64_1870` `exp-prod_binary64_1835`
94×	`associate-/r*_binary64_1727`
93×	`associate-+l+_binary64_1716`
84×	`cancel-sign-sub-inv_binary64_1749`
70×	`associate-+l-_binary64_1718`
67×	`associate-+r+_binary64_1715`
63×	`neg-mul-1_binary64_1779` `associate--l+_binary64_1720`
62×	`pow-sqr_binary64_1756`
61×	`neg-sub0_binary64_1778` `distribute-frac-neg_binary64_1746`
59×	`exp-diff_binary64_1831`
58×	`/-rgt-identity_binary64_1774`
53×	`associate--l-_binary64_1721`
51×	`*-rgt-identity_binary64_1773`
50×	`*-lft-identity_binary64_1772`
44×	`distribute-neg-out_binary64_1745`
42×	`unswap-sqr_binary64_1751`
40×	`cube-prod_binary64_1811`
37×	`distribute-rgt-out_binary64_1736`
36×	`distribute-neg-frac_binary64_1747` `associate-+r-_binary64_1717` `+-commutative_binary64_1713`
35×	`exp-to-pow_binary64_1845` `associate--r+_binary64_1719`
31×	`pow-plus_binary64_1846`
29×	`sub0-neg_binary64_1770` `distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740`
23×	`log-pow_binary64_1872` `cube-div_binary64_1812`
20×	`distribute-rgt-out--_binary64_1737`
17×	`cube-unmult_binary64_1820` `mul0-lft_binary64_1765` `difference-of-squares_binary64_1752` `distribute-lft-neg-out_binary64_1742`
16×	`rem-sqrt-square_binary64_1796` `+-lft-identity_binary64_1767` `distribute-lft-out_binary64_1734`
14×	`unpow3_binary64_1849` `mul0-rgt_binary64_1766`
13×	`log-rec_binary64_1871`
11×	`associate--r-_binary64_1722`
10×	`remove-double-neg_binary64_1771`
9×	`rem-square-sqrt_binary64_1795` `distribute-rgt1-in_binary64_1739` `count-2_binary64_1731`
7×	`+-rgt-identity_binary64_1768` `distribute-lft-out--_binary64_1735`
6×	`+-inverses_binary64_1762`
5×	`cube-mult_binary64_1813`
4×	`sqr-neg_binary64_1797`
3×	`pow-base-1_binary64_1843`
2×	`cube-neg_binary64_1810` `div0_binary64_1764` `cancel-sign-sub_binary64_1748`
1×	`exp-lft-sqr_binary64_1838` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `sqr-abs_binary64_1798` `*-inverses_binary64_1763` `difference-of-sqr--1_binary64_1754` `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` `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` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-exp-log_binary64_1823` `rem-cube-cbrt_binary64_1806` `mul-1-neg_binary64_1775` `--rgt-identity_binary64_1769` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr-1_binary64_1753`

Counts

465 → 3601

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	365	22126
1	701	20960
2	1173	16277
3	3295	15615
4	2611	15601

prune24.3s (18.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	3596	5	3601
Fresh	6	1	7
Picked	1	0	1
Done	0	2	2
Total	3603	8	3611

Error

0.0b

Counts

3611 → 8

Compiler

Compiled 135289 to 100324 computations (25.8% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.2b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
0.3b	(*.f64 (sqrt.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

rewrite9.3s (7.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

1751×	`sqrt-prod_binary64_1799`
1457×	`*-un-lft-identity_binary64_1783`
1266×	`times-frac_binary64_1789`
648×	`add-sqr-sqrt_binary64_1805`
540×	`distribute-lft-out_binary64_1734`
484×	`add-cube-cbrt_binary64_1818`
306×	`associate-l_binary64_1724`
48×	`sqrt-div_binary64_1800` `unswap-sqr_binary64_1751` `associate-/r/_binary64_1729`
39×	`associate-/l*_binary64_1728`
27×	`associate-r_binary64_1723`
24×	`div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/r*_binary64_1727`
23×	`add-exp-log_binary64_1821`
15×	`add-cbrt-cube_binary64_1819`
11×	`pow1_binary64_1844`
10×	`div-exp_binary64_1834`
5×	`cbrt-undiv_binary64_1817`
4×	`add-log-exp_binary64_1822` `pow-flip_binary64_1857`
3×	`pow1/2_binary64_1863` `pow-prod-down_binary64_1854` `sqrt-pow1_binary64_1801` `1-exp_binary64_1827` `rec-exp_binary64_1833` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
2×	`inv-pow_binary64_1868`
1×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `sqrt-unprod_binary64_1803` `frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `*-commutative_binary64_1714` `associate-/l/_binary64_1730`

Counts

4 → 860

Calls

4 calls:

228.0ms	(*.f64 (sqrt.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
30.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
10.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
9.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 44542 to 33214 computations (25.4% saved)

series47.0ms (0%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
11.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
9.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
9.0ms	(*.f64 (sqrt.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

Compiler

Compiled 725 to 603 computations (16.8% saved)

simplify32.1s (24.4%)

Algorithm

1×	egg-herbie

Rules

718×	`div-sub_binary64_1788`
257×	`distribute-rgt-in_binary64_1733`
249×	`associate-+l+_binary64_1716`
225×	`distribute-lft-in_binary64_1732`
215×	`associate-+r+_binary64_1715`
171×	`associate-/l/_binary64_1730`
165×	`associate-l_binary64_1724`
163×	`*-commutative_binary64_1714`
154×	`exp-sum_binary64_1829`
142×	`associate-r_binary64_1723`
132×	`associate-/l*_binary64_1728`
129×	`times-frac_binary64_1789`
124×	`associate-/r/_binary64_1729`
108×	`log-prod_binary64_1869`
97×	`unsub-neg_binary64_1777` `associate-/r*_binary64_1727`
92×	`cancel-sign-sub-inv_binary64_1749`
86×	`sub-neg_binary64_1776`
80×	`exp-prod_binary64_1835` `associate-+l-_binary64_1718`
76×	`unswap-sqr_binary64_1751` `associate--l+_binary64_1720`
67×	`*-rgt-identity_binary64_1773`
66×	`*-lft-identity_binary64_1772`
64×	`associate-*l/_binary64_1726`
62×	`/-rgt-identity_binary64_1774`
61×	`log-div_binary64_1870`
59×	`associate--l-_binary64_1721`
55×	`sqr-pow_binary64_1755`
52×	`exp-diff_binary64_1831`
49×	`associate--r+_binary64_1719`
44×	`associate-+r-_binary64_1717`
41×	`neg-mul-1_binary64_1779` `distribute-rgt-neg-in_binary64_1741` `associate-*r/_binary64_1725` `+-commutative_binary64_1713`
39×	`exp-to-pow_binary64_1845`
37×	`distribute-lft-neg-in_binary64_1740`
35×	`neg-sub0_binary64_1778`
34×	`distribute-rgt-out_binary64_1736`
33×	`cube-prod_binary64_1811`
30×	`pow-sqr_binary64_1756`
29×	`rem-sqrt-square_binary64_1796`
23×	`pow-plus_binary64_1846` `sub0-neg_binary64_1770` `distribute-neg-frac_binary64_1747`
22×	`distribute-neg-in_binary64_1744`
20×	`cube-div_binary64_1812` `swap-sqr_binary64_1750` `distribute-rgt-out--_binary64_1737`
19×	`log-pow_binary64_1872`
16×	`associate--r-_binary64_1722`
15×	`cube-unmult_binary64_1820`
14×	`rem-square-sqrt_binary64_1795` `distribute-neg-out_binary64_1745` `distribute-lft-neg-out_binary64_1742`
13×	`distribute-rgt-neg-out_binary64_1743` `distribute-lft-out_binary64_1734`
12×	`unpow3_binary64_1849`
11×	`count-2_binary64_1731`
10×	`log-rec_binary64_1871` `mul0-lft_binary64_1765`
9×	`+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766`
8×	`distribute-rgt1-in_binary64_1739` `distribute-lft-out--_binary64_1735`
7×	`+-rgt-identity_binary64_1768`
6×	`difference-of-squares_binary64_1752`
5×	`sqr-neg_binary64_1797`
4×	`pow-base-1_binary64_1843` `cube-mult_binary64_1813`
3×	`cube-neg_binary64_1810` `div0_binary64_1764`
2×	`remove-double-neg_binary64_1771` `+-inverses_binary64_1762`
1×	`exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `sqr-abs_binary64_1798` `*-inverses_binary64_1763` `remove-double-div_binary64_1759` `cancel-sign-sub_binary64_1748` `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` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `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-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-exp-log_binary64_1823` `rem-cube-cbrt_binary64_1806` `mul-1-neg_binary64_1775` `--rgt-identity_binary64_1769` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `distribute-frac-neg_binary64_1746`

Counts

872 → 5112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	596	42127
1	1031	39926
2	1900	32434
3	2196	31211
4	3410	31211

prune35.2s (26.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	5109	3	5112
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	5112	8	5120

Error

Counts

5120 → 8

Compiler

Compiled 263277 to 196218 computations (25.5% saved)

regimes321.0ms (0.2%)

Accuracy

Total 0.2b remaining (98.3%)

Threshold costs 0.2b (98.3%)

Compiler

Compiled 7813 to 6186 computations (20.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_1713`
1×	`1-exp_binary64_1827`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `unpow1_binary64_1841` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `sub-neg_binary64_1776` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `cancel-sign-sub-inv_binary64_1749` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742` `distribute-rgt-neg-in_binary64_1741` `distribute-lft-neg-in_binary64_1740` `*-commutative_binary64_1714`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14

Proof

(/ f64 1 (+ f64 (sqrt f64 (=> (+ f64 h0 1))) (sqrt f64 h0)))
+-commutative_binary64_1713 =>
(/ f64 1 (+ f64 (sqrt f64 (+ f64 1 h0)) (sqrt f64 h0)))

end0.0ms (0%)

sample2.9s (2.2%)

Algorithm

1×

intervals

Results

254.0ms	1991×	body	1024	valid
154.0ms	4293×	body	128	valid
96.0ms	992×	body	512	valid
35.0ms	222×	body	2048	valid
32.0ms	502×	body	256	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 3902 to 3088 computations (20.9% saved)

Details

analyze3.0ms (0%)

sample40.0ms (0%)

simplify1.1s (0.8%)

prune1.0ms (0%)

localize5.0ms (0%)

rewrite52.0ms (0%)

series43.0ms (0%)

simplify165.0ms (0.1%)

prune50.0ms (0%)

localize6.0ms (0%)

rewrite81.0ms (0.1%)

series32.0ms (0%)

simplify655.0ms (0.5%)

prune193.0ms (0.1%)

localize12.0ms (0%)

rewrite826.0ms (0.6%)

series47.0ms (0%)

simplify24.3s (18.4%)

prune24.3s (18.4%)

localize17.0ms (0%)

rewrite9.3s (7.1%)

series47.0ms (0%)

simplify32.1s (24.4%)

prune35.2s (26.7%)

regimes321.0ms (0.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.9s (2.2%)

Profiling