Details

analyze3.1s (11%)

Algorithm

1×	search
2×	egg-herbie

Rules

362×	`cancel-sign-sub-inv_binary64_1749`
284×	`unsub-neg_binary64_1777`
282×	`distribute-rgt-neg-in_binary64_1741`
250×	`distribute-rgt-in_binary64_1733`
237×	`sub-neg_binary64_1776`
209×	`distribute-lft-in_binary64_1732`
192×	`neg-mul-1_binary64_1779`
188×	`distribute-lft-neg-in_binary64_1740`
170×	`associate-r_binary64_1723`
169×	`neg-sub0_binary64_1778`
149×	`distribute-rgt-neg-out_binary64_1743`
146×	`distribute-lft-neg-out_binary64_1742`
134×	`associate--r+_binary64_1719`
124×	`*-commutative_binary64_1714`
109×	`associate-l_binary64_1724`
94×	`+-commutative_binary64_1713`
74×	`associate-+l-_binary64_1718`
73×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
68×	`distribute-neg-in_binary64_1744`
67×	`remove-double-neg_binary64_1771`
58×	`sub0-neg_binary64_1770`
33×	`--rgt-identity_binary64_1769`
28×	`*-lft-identity_binary64_1772`
22×	`+-lft-identity_binary64_1767` `cancel-sign-sub_binary64_1748`
20×	`sin-neg_binary64_1913` `associate--r-_binary64_1722`
19×	`associate-+l+_binary64_1716`
18×	`associate-+r+_binary64_1715`
13×	`associate-+r-_binary64_1717`
12×	`associate--l+_binary64_1720`
11×	`cos-neg_binary64_1914`
10×	`+-rgt-identity_binary64_1768` `distribute-rgt-out--_binary64_1737`
6×	`*-rgt-identity_binary64_1773`
2×	`distribute-neg-out_binary64_1745` `associate--l-_binary64_1721`
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` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-prod_binary64_1835` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `div-sub_binary64_1788` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `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` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	273
1	151	273
2	316	273
3	606	273
4	711	273
5	1003	273
6	1138	273
7	1521	273
8	1681	273
9	1761	273
10	1811	273
11	1816	273
12	1816	273
13	2112	273
14	1872	273
15	1872	273
16	1872	273
17	1713	273
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample227.0ms (0.8%)

Algorithm

1×

intervals

Results

164.0ms	168×	body	1024	valid
24.0ms	43×	body	512	valid
12.0ms	7×	body	2048	valid
4.0ms	12×	body	256	valid
4.0ms	26×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

83×	`cancel-sign-sub-inv_binary64_1749`
59×	`distribute-rgt-neg-in_binary64_1741`
56×	`sub-neg_binary64_1776`
47×	`distribute-rgt-in_binary64_1733`
42×	`unsub-neg_binary64_1777`
41×	`neg-mul-1_binary64_1779`
35×	`neg-sub0_binary64_1778`
34×	`distribute-lft-neg-in_binary64_1740` `distribute-lft-in_binary64_1732`
28×	`distribute-lft-neg-out_binary64_1742` `associate--r+_binary64_1719`
25×	`associate-r_binary64_1723`
23×	`*-commutative_binary64_1714`
21×	`+-commutative_binary64_1713`
18×	`+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743`
16×	`associate-+l-_binary64_1718`
14×	`sub0-neg_binary64_1770`
13×	`associate-l_binary64_1724`
12×	`remove-double-neg_binary64_1771`
10×	`*-lft-identity_binary64_1772`
8×	`--rgt-identity_binary64_1769` `associate--r-_binary64_1722`
6×	`associate-+l+_binary64_1716`
4×	`*-rgt-identity_binary64_1773`
3×	`sin-neg_binary64_1913`
2×	`cos-neg_binary64_1914` `+-rgt-identity_binary64_1768` `associate--l+_binary64_1720` `associate-+r-_binary64_1717` `associate-+r+_binary64_1715`
1×	`1-exp_binary64_1827` `cancel-sign-sub_binary64_1748`
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` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow3_binary64_1849` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `exp-prod_binary64_1835` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-1-e_binary64_1826` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `div-sub_binary64_1788` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `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` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `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--l-_binary64_1721`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

11.1b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.4b	(sin.f64 (-.f64 lambda1 lambda2))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite149.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

5.6b

Rules

11×	`add-sqr-sqrt_binary64_1805` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749` `associate-r_binary64_1723`
4×	`cos-sum_binary64_1917` `add-log-exp_binary64_1822` `sin-sum_binary64_1916` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
3×	`cos-diff_binary64_1920`
2×	`sub-neg_binary64_1776` `sin-cos-mult_binary64_1939` `*-commutative_binary64_1714`
1×	`sin-diff_binary64_1919` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*l/_binary64_1726` `unswap-sqr_binary64_1751`

Counts

4 → 64

Calls

4 calls:

8.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2066 to 344 computations (83.3% saved)

series1.2s (4.3%)

Error

8.3b

Counts

4 → 63

Calls

4 calls:

630.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
291.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
83.0ms	(cos.f64 (-.f64 lambda1 lambda2))
73.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4766 to 2204 computations (53.8% saved)

simplify112.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

736×	`cancel-sign-sub-inv_binary64_1749`
479×	`sub-neg_binary64_1776`
381×	`associate-r_binary64_1723`
373×	`associate-l_binary64_1724`
357×	`distribute-rgt-neg-in_binary64_1741`
323×	`distribute-lft-neg-in_binary64_1740`
314×	`neg-mul-1_binary64_1779`
312×	`neg-sub0_binary64_1778`
226×	`*-commutative_binary64_1714`
193×	`unsub-neg_binary64_1777`
91×	`associate-+l-_binary64_1718`
88×	`distribute-lft-neg-out_binary64_1742`
87×	`associate--l+_binary64_1720`
82×	`+-commutative_binary64_1713`
80×	`associate-+r-_binary64_1717`
72×	`distribute-rgt-neg-out_binary64_1743`
71×	`distribute-rgt-out--_binary64_1737`
68×	`associate-+l+_binary64_1716`
59×	`distribute-rgt-out_binary64_1736`
55×	`associate-+r+_binary64_1715`
52×	`associate--r+_binary64_1719`
43×	`sqr-pow_binary64_1755`
33×	`exp-prod_binary64_1835`
29×	`log-prod_binary64_1869`
27×	`cube-prod_binary64_1811` `*-rgt-identity_binary64_1773`
23×	`*-lft-identity_binary64_1772`
22×	`distribute-rgt-in_binary64_1733`
21×	`swap-sqr_binary64_1750`
18×	`distribute-neg-in_binary64_1744`
12×	`cube-unmult_binary64_1820` `remove-double-neg_binary64_1771`
11×	`cancel-sign-sub_binary64_1748`
9×	`distribute-rgt1-in_binary64_1739` `associate--l-_binary64_1721`
8×	`unpow3_binary64_1849` `distribute-neg-out_binary64_1745` `distribute-lft-out--_binary64_1735`
7×	`unswap-sqr_binary64_1751`
6×	`distribute-lft-out_binary64_1734` `distribute-lft-in_binary64_1732`
5×	`unpow1/2_binary64_1847` `cube-mult_binary64_1813`
4×	`pow-plus_binary64_1846`
3×	`cos-neg_binary64_1914` `sin-neg_binary64_1913` `unpow2_binary64_1848` `unpow1_binary64_1841` `rem-sqrt-square_binary64_1796`
2×	`pow-sqr_binary64_1756` `difference-of-squares_binary64_1752`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `+-rgt-identity_binary64_1768` `associate-/l*_binary64_1728` `associate--r-_binary64_1722`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `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` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `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` `times-frac_binary64_1789` `div-sub_binary64_1788` `mul-1-neg_binary64_1775` `/-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` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-lft1-in_binary64_1738` `count-2_binary64_1731` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-r/_binary64_1725`

Counts

127 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	2646
1	726	2380
2	2227	2221
3	4150	2219
4	5121	2219

prune164.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	62	15	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	15	78

Error

5.6b

Counts

78 → 15

Compiler

Compiled 2879 to 751 computations (73.9% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite160.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_1805`
13×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`associate-r_binary64_1723`
7×	`associate-l_binary64_1724`
5×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`cos-sum_binary64_1917` `add-log-exp_binary64_1822`
3×	`cos-diff_binary64_1920` `cancel-sign-sub-inv_binary64_1749` `associate-l/_binary64_1726` `-commutative_binary64_1714`
2×	`unswap-sqr_binary64_1751`
1×	`sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `sin-cos-mult_binary64_1939` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
8.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2860 to 385 computations (86.5% saved)

series1.5s (5.5%)

Error

5.2b

Counts

4 → 55

Calls

4 calls:

626.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
594.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
144.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
84.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5270 to 2557 computations (51.5% saved)

simplify120.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

544×	`cancel-sign-sub-inv_binary64_1749`
412×	`associate-r_binary64_1723`
404×	`associate-l_binary64_1724`
343×	`distribute-rgt-neg-in_binary64_1741`
304×	`distribute-lft-neg-in_binary64_1740`
280×	`neg-mul-1_binary64_1779`
279×	`neg-sub0_binary64_1778`
248×	`*-commutative_binary64_1714`
231×	`sub-neg_binary64_1776`
129×	`distribute-rgt-in_binary64_1733`
115×	`distribute-lft-in_binary64_1732`
114×	`unsub-neg_binary64_1777`
74×	`exp-prod_binary64_1835` `distribute-rgt-out--_binary64_1737` `distribute-rgt-out_binary64_1736`
71×	`sqr-pow_binary64_1755`
68×	`+-commutative_binary64_1713`
57×	`distribute-lft-neg-out_binary64_1742`
53×	`cube-prod_binary64_1811`
38×	`log-prod_binary64_1869`
35×	`distribute-rgt-neg-out_binary64_1743`
33×	`*-rgt-identity_binary64_1773`
32×	`associate--l+_binary64_1720`
30×	`*-lft-identity_binary64_1772`
29×	`swap-sqr_binary64_1750`
25×	`associate--r+_binary64_1719`
19×	`distribute-neg-in_binary64_1744`
17×	`unpow3_binary64_1849` `exp-sum_binary64_1829`
16×	`associate-+l+_binary64_1716`
15×	`cube-unmult_binary64_1820` `unswap-sqr_binary64_1751`
12×	`cube-mult_binary64_1813`
10×	`distribute-lft-out--_binary64_1735`
8×	`distribute-lft-out_binary64_1734`
7×	`unpow1/2_binary64_1847` `remove-double-neg_binary64_1771`
6×	`distribute-rgt1-in_binary64_1739` `associate-+r+_binary64_1715`
5×	`exp-diff_binary64_1831` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748`
4×	`unpow2_binary64_1848` `pow-plus_binary64_1846` `unpow1_binary64_1841` `exp-neg_binary64_1830` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796`
3×	`cos-neg_binary64_1914` `sin-neg_binary64_1913` `pow-sqr_binary64_1756`
2×	`distribute-neg-out_binary64_1745` `associate-+r-_binary64_1717`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `div-sub_binary64_1788` `mul-1-neg_binary64_1775` `+-rgt-identity_binary64_1768` `distribute-lft1-in_binary64_1738` `associate-/l*_binary64_1728` `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` `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` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `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` `times-frac_binary64_1789` `/-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` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `count-2_binary64_1731` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `associate--r-_binary64_1722` `associate-+l-_binary64_1718`

Counts

126 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	2837
1	770	2516
2	2419	2403
3	4345	2403
4	4986	2403

prune175.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	9	5	14
Picked	1	0	1
Done	0	0	0
Total	97	12	109

Error

0.1b

Counts

109 → 12

Compiler

Compiled 3948 to 721 computations (81.7% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite206.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_1805`
15×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
12×	`associate-r_binary64_1723`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`associate-l_binary64_1724`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`add-log-exp_binary64_1822` `sin-cos-mult_binary64_1939` `*-commutative_binary64_1714`
3×	`sin-mult_binary64_1938` `frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `unswap-sqr_binary64_1751`
2×	`cos-mult_binary64_1937` `frac-add_binary64_1791` `flip3-+_binary64_1786` `flip-+_binary64_1757`
1×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

4 → 84

Calls

4 calls:

14.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
8.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 4101 to 503 computations (87.7% saved)

series2.1s (7.6%)

Error

0.1b

Counts

4 → 53

Calls

4 calls:

1.1s	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
616.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
149.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
146.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 6277 to 2757 computations (56.1% saved)

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-r_binary64_1723`
621×	`associate-l_binary64_1724`
429×	`distribute-rgt-neg-in_binary64_1741`
390×	`distribute-lft-neg-in_binary64_1740`
332×	`*-commutative_binary64_1714`
153×	`sub-neg_binary64_1776`
118×	`cancel-sign-sub-inv_binary64_1749`
106×	`distribute-rgt-in_binary64_1733`
102×	`distribute-lft-in_binary64_1732`
95×	`+-commutative_binary64_1713`
88×	`exp-prod_binary64_1835`
82×	`neg-sub0_binary64_1778` `sqr-pow_binary64_1755`
81×	`neg-mul-1_binary64_1779`
53×	`associate--l+_binary64_1720`
50×	`*-rgt-identity_binary64_1773`
48×	`distribute-lft-neg-out_binary64_1742`
44×	`*-lft-identity_binary64_1772`
42×	`cube-prod_binary64_1811`
37×	`log-prod_binary64_1869` `associate--r+_binary64_1719`
33×	`associate-+l+_binary64_1716`
32×	`swap-sqr_binary64_1750`
27×	`unsub-neg_binary64_1777`
23×	`unswap-sqr_binary64_1751` `distribute-neg-in_binary64_1744`
21×	`associate-+r+_binary64_1715`
18×	`distribute-rgt-neg-out_binary64_1743`
17×	`distribute-rgt-out_binary64_1736`
14×	`exp-sum_binary64_1829`
12×	`unpow3_binary64_1849`
10×	`cube-unmult_binary64_1820` `cube-mult_binary64_1813`
7×	`difference-of-squares_binary64_1752`
6×	`distribute-rgt-out--_binary64_1737` `distribute-lft-out_binary64_1734`
4×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `unpow1_binary64_1841` `pow-sqr_binary64_1756`
2×	`exp-diff_binary64_1831` `associate-+r-_binary64_1717`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `mul-1-neg_binary64_1775` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `associate--l-_binary64_1721` `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` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `pow-plus_binary64_1846` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-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-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `times-frac_binary64_1789` `div-sub_binary64_1788` `/-rgt-identity_binary64_1774` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `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` `distribute-lft-out--_binary64_1735` `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`

Counts

137 → 108

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	352	3823
1	1015	3353
2	3768	3353
3	5101	3353

prune210.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	108	12	120

Error

0.0b

Counts

120 → 12

Compiler

Compiled 5429 to 865 computations (84.1% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))
0.6b	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
0.6b	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
0.6b	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))

rewrite271.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_1814`
23×	`add-sqr-sqrt_binary64_1805`
18×	`cbrt-div_binary64_1815`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
9×	`pow1/3_binary64_1865` `flip3--_binary64_1787` `flip--_binary64_1758`
6×	`add-exp-log_binary64_1821` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `frac-times_binary64_1793` `unswap-sqr_binary64_1751`
2×	`pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))
5.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
4.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))

Compiler

Compiled 7205 to 456 computations (93.7% saved)

series2.8s (10.2%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

804.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))
651.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
651.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
649.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))

Compiler

Compiled 6810 to 2872 computations (57.8% saved)

simplify186.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

452×	`distribute-rgt-neg-in_binary64_1741`
445×	`cancel-sign-sub-inv_binary64_1749`
431×	`distribute-lft-neg-in_binary64_1740`
401×	`*-commutative_binary64_1714`
268×	`neg-mul-1_binary64_1779`
202×	`distribute-rgt-in_binary64_1733`
200×	`unswap-sqr_binary64_1751`
175×	`distribute-lft-in_binary64_1732`
162×	`associate-r_binary64_1723`
138×	`sqr-pow_binary64_1755`
136×	`associate-l_binary64_1724`
134×	`log-prod_binary64_1869` `neg-sub0_binary64_1778`
122×	`sub-neg_binary64_1776`
80×	`associate-+l-_binary64_1718`
70×	`exp-prod_binary64_1835`
63×	`cube-prod_binary64_1811`
44×	`associate-/r*_binary64_1727`
40×	`associate--r+_binary64_1719` `associate-+r-_binary64_1717`
34×	`swap-sqr_binary64_1750`
31×	`log-pow_binary64_1872`
30×	`distribute-rgt-out_binary64_1736`
28×	`associate--l+_binary64_1720`
27×	`unpow3_binary64_1849` `distribute-lft-neg-out_binary64_1742` `+-commutative_binary64_1713`
26×	`rem-sqrt-square_binary64_1796` `unsub-neg_binary64_1777` `distribute-neg-in_binary64_1744`
22×	`difference-of-squares_binary64_1752`
21×	`pow-plus_binary64_1846` `associate-/l/_binary64_1730`
20×	`associate-+l+_binary64_1716`
19×	`cube-mult_binary64_1813` `associate-/l*_binary64_1728`
18×	`pow-sqr_binary64_1756` `distribute-lft-out_binary64_1734`
15×	`distribute-rgt-neg-out_binary64_1743`
14×	`*-rgt-identity_binary64_1773` `associate-+r+_binary64_1715`
13×	`*-lft-identity_binary64_1772`
12×	`unpow1/3_binary64_1850` `cube-unmult_binary64_1820`
10×	`sub0-neg_binary64_1770` `associate--l-_binary64_1721`
8×	`unpow2_binary64_1848` `+-rgt-identity_binary64_1768` `count-2_binary64_1731`
7×	`unpow1/2_binary64_1847` `times-frac_binary64_1789`
6×	`sqr-neg_binary64_1797` `associate-*r/_binary64_1725`
5×	`unpow1_binary64_1841` `associate-/r/_binary64_1729`
2×	`rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `distribute-rgt-out--_binary64_1737` `associate--r-_binary64_1722`
1×	`1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-3cbrt-rft_binary64_1809` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `distribute-rgt1-in_binary64_1739` `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` `log-rec_binary64_1871` `log-div_binary64_1870` `pow-base-0_binary64_1867` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-diff_binary64_1831` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-div_binary64_1812` `cube-neg_binary64_1810` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `div-sub_binary64_1788` `/-rgt-identity_binary64_1774` `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` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft-out--_binary64_1735` `associate-l/_binary64_1726`

Counts

123 → 110

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	143	4695
1	360	4422
2	1128	4352
3	2457	4297
4	4703	3975
5	4940	3975

prune268.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	110	12	122

Error

0.0b

Counts

122 → 12

Compiler

Compiled 7936 to 842 computations (89.4% saved)

regimes3.1s (11%)

Accuracy

Total 0.1b remaining (85.5%)

Threshold costs 0.1b (85.5%)

Compiler

Compiled 40143 to 23421 computations (41.7% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64_1714`
15×	`+-commutative_binary64_1713`
14×	`sub-neg_binary64_1776`
12×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
10×	`distribute-rgt-neg-in_binary64_1741`
8×	`distribute-lft-neg-in_binary64_1740`
4×	`cancel-sign-sub-inv_binary64_1749`
2×	`unsub-neg_binary64_1777` `distribute-neg-in_binary64_1744` `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-rgt-neg-out_binary64_1743`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	44	63
2	68	63
3	88	63
4	116	63
5	128	63
6	134	63
7	136	63
8	136	63

end0.0ms (0%)

sample11.5s (41.3%)

Algorithm

1×

intervals

Results

5.0s	5361×	body	1024	valid
792.0ms	1328×	body	512	valid
339.0ms	167×	body	2048	valid
151.0ms	398×	body	256	valid
129.0ms	746×	body	128	valid

Compiler

Compiled 6559 to 3820 computations (41.8% saved)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Details

analyze3.1s (11%)

sample227.0ms (0.8%)

simplify25.0ms (0.1%)

prune4.0ms (0%)

localize22.0ms (0.1%)

rewrite149.0ms (0.5%)

series1.2s (4.3%)

simplify112.0ms (0.4%)

prune164.0ms (0.6%)

localize30.0ms (0.1%)

rewrite160.0ms (0.6%)

series1.5s (5.5%)

simplify120.0ms (0.4%)

prune175.0ms (0.6%)

localize32.0ms (0.1%)

rewrite206.0ms (0.7%)

series2.1s (7.6%)

simplify118.0ms (0.4%)

prune210.0ms (0.8%)

localize42.0ms (0.2%)

rewrite271.0ms (1%)

series2.8s (10.2%)

simplify186.0ms (0.7%)

prune268.0ms (1%)

regimes3.1s (11%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample11.5s (41.3%)

Profiling

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39