Details

analyze1.1s (16.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

694×	`div-sub_binary64_1788`
602×	`neg-mul-1_binary64_1779`
550×	`sub-neg_binary64_1776`
311×	`associate-/r*_binary64_1727`
286×	`distribute-neg-frac_binary64_1747`
242×	`associate-/l/_binary64_1730`
222×	`associate-/r/_binary64_1729`
219×	`distribute-frac-neg_binary64_1746`
217×	`times-frac_binary64_1789`
208×	`distribute-rgt-neg-out_binary64_1743`
199×	`associate-*l/_binary64_1726`
188×	`associate-/l*_binary64_1728`
184×	`distribute-lft-in_binary64_1732` `*-commutative_binary64_1714`
171×	`distribute-rgt-in_binary64_1733`
163×	`cancel-sign-sub-inv_binary64_1749`
127×	`cancel-sign-sub_binary64_1748`
120×	`associate-*r/_binary64_1725`
118×	`associate-l_binary64_1724`
114×	`unsub-neg_binary64_1777`
113×	`associate-r_binary64_1723`
104×	`neg-sub0_binary64_1778`
92×	`associate-+l+_binary64_1716`
82×	`distribute-neg-in_binary64_1744` `+-commutative_binary64_1713`
81×	`associate-+r+_binary64_1715`
76×	`distribute-rgt-neg-in_binary64_1741` `associate-+l-_binary64_1718`
69×	`distribute-lft-neg-in_binary64_1740`
67×	`/-rgt-identity_binary64_1774`
53×	`associate--r+_binary64_1719`
52×	`*-lft-identity_binary64_1772`
51×	`associate-+r-_binary64_1717`
49×	`sub0-neg_binary64_1770`
40×	`*-rgt-identity_binary64_1773`
34×	`distribute-lft-neg-out_binary64_1742`
30×	`distribute-neg-out_binary64_1745`
26×	`div0_binary64_1764` `associate--l+_binary64_1720`
24×	`distribute-rgt-out_binary64_1736`
18×	`--rgt-identity_binary64_1769` `associate--r-_binary64_1722` `associate--l-_binary64_1721`
17×	`distribute-rgt-out--_binary64_1737`
13×	`remove-double-neg_binary64_1771` `+-rgt-identity_binary64_1768` `mul0-rgt_binary64_1766`
7×	`cube-prod_binary64_1811` `mul0-lft_binary64_1765` `swap-sqr_binary64_1750`
6×	`distribute-rgt1-in_binary64_1739`
5×	`cube-div_binary64_1812` `+-lft-identity_binary64_1767`
4×	`mul-1-neg_binary64_1775` `*-inverses_binary64_1763`
3×	`sqr-neg_binary64_1797` `distribute-lft1-in_binary64_1738`
2×	`cube-neg_binary64_1810` `distribute-lft-out--_binary64_1735`
1×	`unpow3_binary64_1849` `1-exp_binary64_1827` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `sqr-pow_binary64_1755` `difference-of-sqr-1_binary64_1753`
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` `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` `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` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `difference-of-sqr--1_binary64_1754` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `distribute-lft-out_binary64_1734` `count-2_binary64_1731`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample71.0ms (1.1%)

Algorithm

1×

intervals

Results

38.0ms	125×	body	2048	valid
13.0ms	60×	body	1024	valid
5.0ms	36×	body	512	valid
2.0ms	24×	body	256	valid
1.0ms	11×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

694×	`div-sub_binary64_1788`
602×	`neg-mul-1_binary64_1779`
550×	`sub-neg_binary64_1776`
311×	`associate-/r*_binary64_1727`
286×	`distribute-neg-frac_binary64_1747`
242×	`associate-/l/_binary64_1730`
222×	`associate-/r/_binary64_1729`
219×	`distribute-frac-neg_binary64_1746`
217×	`times-frac_binary64_1789`
208×	`distribute-rgt-neg-out_binary64_1743`
199×	`associate-*l/_binary64_1726`
188×	`associate-/l*_binary64_1728`
184×	`distribute-lft-in_binary64_1732` `*-commutative_binary64_1714`
171×	`distribute-rgt-in_binary64_1733`
163×	`cancel-sign-sub-inv_binary64_1749`
127×	`cancel-sign-sub_binary64_1748`
120×	`associate-*r/_binary64_1725`
118×	`associate-l_binary64_1724`
114×	`unsub-neg_binary64_1777`
113×	`associate-r_binary64_1723`
104×	`neg-sub0_binary64_1778`
92×	`associate-+l+_binary64_1716`
82×	`distribute-neg-in_binary64_1744` `+-commutative_binary64_1713`
81×	`associate-+r+_binary64_1715`
76×	`distribute-rgt-neg-in_binary64_1741` `associate-+l-_binary64_1718`
69×	`distribute-lft-neg-in_binary64_1740`
67×	`/-rgt-identity_binary64_1774`
53×	`associate--r+_binary64_1719`
52×	`*-lft-identity_binary64_1772`
51×	`associate-+r-_binary64_1717`
49×	`sub0-neg_binary64_1770`
40×	`*-rgt-identity_binary64_1773`
34×	`distribute-lft-neg-out_binary64_1742`
30×	`distribute-neg-out_binary64_1745`
26×	`div0_binary64_1764` `associate--l+_binary64_1720`
24×	`distribute-rgt-out_binary64_1736`
18×	`--rgt-identity_binary64_1769` `associate--r-_binary64_1722` `associate--l-_binary64_1721`
17×	`distribute-rgt-out--_binary64_1737`
13×	`remove-double-neg_binary64_1771` `+-rgt-identity_binary64_1768` `mul0-rgt_binary64_1766`
7×	`cube-prod_binary64_1811` `mul0-lft_binary64_1765` `swap-sqr_binary64_1750`
6×	`distribute-rgt1-in_binary64_1739`
5×	`cube-div_binary64_1812` `+-lft-identity_binary64_1767`
4×	`mul-1-neg_binary64_1775` `*-inverses_binary64_1763`
3×	`sqr-neg_binary64_1797` `distribute-lft1-in_binary64_1738`
2×	`cube-neg_binary64_1810` `distribute-lft-out--_binary64_1735`
1×	`unpow3_binary64_1849` `1-exp_binary64_1827` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `sqr-pow_binary64_1755` `difference-of-sqr-1_binary64_1753`
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` `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` `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` `remove-double-div_binary64_1759` `pow-sqr_binary64_1756` `difference-of-sqr--1_binary64_1754` `difference-of-squares_binary64_1752` `unswap-sqr_binary64_1751` `distribute-lft-out_binary64_1734` `count-2_binary64_1731`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21

prune2.0ms (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

0.3b

Counts

1 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.3b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite118.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

20×	`add-sqr-sqrt_binary64_1805`
19×	`*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
15×	`add-cube-cbrt_binary64_1818`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`pow1_binary64_1844` `difference-of-squares_binary64_1752`
6×	`associate-/r*_binary64_1727`
4×	`difference-of-sqr-1_binary64_1753`
3×	`add-log-exp_binary64_1822` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724` `associate-/l*_binary64_1728`
2×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `flip--_binary64_1758` `associate-/r/_binary64_1729`
1×	`acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

3 → 71

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1740 to 1097 computations (37% saved)

series129.0ms (2%)

Error

0.3b

Counts

3 → 12

Calls

3 calls:

47.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
41.0ms	(.f64 5 (.f64 v v))
31.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 370 to 330 computations (10.8% saved)

simplify113.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-l_binary64_1724`
391×	`div-sub_binary64_1788`
376×	`times-frac_binary64_1789`
364×	`associate-r_binary64_1723`
235×	`associate-/l*_binary64_1728`
206×	`distribute-rgt-in_binary64_1733`
192×	`distribute-lft-in_binary64_1732`
187×	`associate-/r*_binary64_1727`
157×	`*-commutative_binary64_1714`
113×	`associate-*l/_binary64_1726`
112×	`associate-/r/_binary64_1729`
107×	`associate-/l/_binary64_1730`
91×	`exp-prod_binary64_1835`
86×	`associate-*r/_binary64_1725`
62×	`log-prod_binary64_1869`
58×	`cube-prod_binary64_1811` `neg-mul-1_binary64_1779`
56×	`log-div_binary64_1870` `distribute-rgt-out_binary64_1736`
52×	`distribute-neg-frac_binary64_1747`
49×	`+-commutative_binary64_1713`
44×	`associate-+r+_binary64_1715`
39×	`associate-+l+_binary64_1716`
37×	`distribute-rgt-neg-in_binary64_1741`
35×	`cancel-sign-sub-inv_binary64_1749`
34×	`sub-neg_binary64_1776`
32×	`cube-div_binary64_1812` `distribute-lft-neg-in_binary64_1740`
25×	`distribute-lft-out_binary64_1734`
22×	`sqr-pow_binary64_1755`
21×	`neg-sub0_binary64_1778`
16×	`unswap-sqr_binary64_1751`
14×	`*-rgt-identity_binary64_1773`
13×	`/-rgt-identity_binary64_1774`
12×	`distribute-neg-in_binary64_1744`
11×	`*-lft-identity_binary64_1772` `swap-sqr_binary64_1750`
10×	`log-rec_binary64_1871` `unpow3_binary64_1849`
9×	`cube-unmult_binary64_1820` `associate--r+_binary64_1719` `associate-+r-_binary64_1717`
8×	`distribute-rgt1-in_binary64_1739` `associate--l+_binary64_1720`
7×	`cube-mult_binary64_1813` `associate-+l-_binary64_1718`
6×	`distribute-lft1-in_binary64_1738`
5×	`log-pow_binary64_1872` `mul-1-neg_binary64_1775` `distribute-lft-neg-out_binary64_1742`
4×	`exp-sum_binary64_1829` `difference-of-sqr-1_binary64_1753` `distribute-rgt-neg-out_binary64_1743`
3×	`pow-plus_binary64_1846` `exp-diff_binary64_1831` `unsub-neg_binary64_1777` `difference-of-sqr--1_binary64_1754`
2×	`unpow1/2_binary64_1847` `distribute-rgt-out--_binary64_1737` `associate--r-_binary64_1722`
1×	`unpow2_binary64_1848` `unpow1_binary64_1841` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `sqr-neg_binary64_1797` `rem-sqrt-square_binary64_1796` `remove-double-neg_binary64_1771` `*-inverses_binary64_1763` `pow-sqr_binary64_1756` `count-2_binary64_1731` `associate--l-_binary64_1721`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `rem-square-sqrt_binary64_1795` `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_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft-out--_binary64_1735`

Counts

83 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1943
1	298	1799
2	959	1785
3	3882	1785
4	4989	1785
5	4931	1785

prune51.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

0.3b

Counts

43 → 3

Compiler

Compiled 835 to 558 computations (33.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 v v) 4)
0.3b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

7×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`add-sqr-sqrt_binary64_1805`
3×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r*_binary64_1723`
2×	`add-log-exp_binary64_1822`
1×	`acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-l_binary64_1724` `*-commutative_binary64_1714`

Counts

2 → 27

Calls

2 calls:

6.0ms	(.f64 (.f64 v v) 4)
1.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 377 to 258 computations (31.6% saved)

series63.0ms (1%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

40.0ms	(.f64 (.f64 v v) 4)
18.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 144 to 139 computations (3.5% saved)

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

680×	`log-div_binary64_1870`
529×	`associate-/r*_binary64_1727`
254×	`times-frac_binary64_1789`
248×	`associate-l_binary64_1724` `*-commutative_binary64_1714`
225×	`sqr-pow_binary64_1755`
209×	`unswap-sqr_binary64_1751`
191×	`distribute-rgt-in_binary64_1733`
182×	`distribute-rgt-out_binary64_1736`
175×	`distribute-lft-in_binary64_1732`
161×	`associate-/l*_binary64_1728`
160×	`associate-r_binary64_1723`
150×	`associate-+l+_binary64_1716`
146×	`exp-prod_binary64_1835`
128×	`distribute-lft-out_binary64_1734`
111×	`associate-/l/_binary64_1730`
103×	`log-prod_binary64_1869`
102×	`pow-sqr_binary64_1756`
101×	`associate-+r+_binary64_1715`
93×	`+-commutative_binary64_1713`
87×	`cube-div_binary64_1812`
86×	`cube-prod_binary64_1811`
70×	`associate-/r/_binary64_1729`
68×	`associate-*r/_binary64_1725`
58×	`swap-sqr_binary64_1750`
36×	`rem-sqrt-square_binary64_1796` `*-rgt-identity_binary64_1773`
34×	`*-lft-identity_binary64_1772`
30×	`count-2_binary64_1731`
27×	`log-pow_binary64_1872`
26×	`log-rec_binary64_1871`
22×	`associate-*l/_binary64_1726`
18×	`unpow3_binary64_1849` `pow-plus_binary64_1846` `distribute-rgt1-in_binary64_1739`
14×	`cube-mult_binary64_1813`
7×	`exp-sqrt_binary64_1836` `cube-unmult_binary64_1820`
6×	`unpow2_binary64_1848` `unpow1/2_binary64_1847` `/-rgt-identity_binary64_1774`
5×	`exp-lft-sqr_binary64_1838`
4×	`distribute-lft1-in_binary64_1738`
2×	`prod-exp_binary64_1832`
1×	`unpow1_binary64_1841` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `sub-neg_binary64_1776` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `div-exp_binary64_1834` `rec-exp_binary64_1833` `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-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `div-sub_binary64_1788` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `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` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

33 → 27

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	55	414
1	102	353
2	249	344
3	554	344
4	844	344
5	1529	344
6	2635	338
7	4708	338
8	5431	338

prune26.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	26	4	30

Error

0.3b

Counts

30 → 4

Compiler

Compiled 363 to 254 computations (30% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))

rewrite135.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

12×	`cbrt-prod_binary64_1814` `add-sqr-sqrt_binary64_1805`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
4×	`add-log-exp_binary64_1822`
3×	`pow-unpow_binary64_1860` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
2×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755`
1×	`pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

4 → 71

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
5.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
2.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 2102 to 1401 computations (33.3% saved)

series259.0ms (4.1%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

139.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
43.0ms	(.f64 5 (.f64 v v))
33.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
30.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 585 to 527 computations (9.9% saved)

simplify144.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

530×	`associate-l_binary64_1724`
455×	`log-prod_binary64_1869`
429×	`associate-r_binary64_1723`
399×	`exp-prod_binary64_1835`
363×	`cube-prod_binary64_1811`
241×	`unswap-sqr_binary64_1751`
171×	`associate-/l*_binary64_1728`
156×	`unpow3_binary64_1849`
155×	`swap-sqr_binary64_1750`
133×	`sqr-pow_binary64_1755`
119×	`times-frac_binary64_1789`
110×	`cube-mult_binary64_1813`
94×	`pow-plus_binary64_1846`
83×	`log-pow_binary64_1872`
67×	`*-commutative_binary64_1714`
65×	`distribute-rgt-in_binary64_1733`
60×	`distribute-lft-in_binary64_1732` `associate-/r*_binary64_1727`
46×	`associate-+l+_binary64_1716`
44×	`pow-sqr_binary64_1756`
42×	`associate-+r+_binary64_1715`
33×	`cancel-sign-sub-inv_binary64_1749` `associate-*r/_binary64_1725`
31×	`distribute-neg-frac_binary64_1747` `associate-/r/_binary64_1729`
27×	`associate-/l/_binary64_1730`
26×	`distribute-rgt-neg-in_binary64_1741` `associate-*l/_binary64_1726`
25×	`distribute-lft-neg-in_binary64_1740`
24×	`cube-unmult_binary64_1820`
23×	`div-sub_binary64_1788`
18×	`sub-neg_binary64_1776`
13×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `count-2_binary64_1731` `+-commutative_binary64_1713`
12×	`distribute-rgt-out_binary64_1736`
10×	`rem-sqrt-square_binary64_1796`
6×	`distribute-lft-out_binary64_1734`
5×	`-rgt-identity_binary64_1773` `-lft-identity_binary64_1772`
4×	`unpow2_binary64_1848` `rem-cbrt-cube_binary64_1807`
2×	`unpow1/2_binary64_1847` `unpow1_binary64_1841` `difference-of-sqr-1_binary64_1753` `associate-+l-_binary64_1718`
1×	`1-exp_binary64_1827` `rem-3cbrt-lft_binary64_1808` `rem-cube-cbrt_binary64_1806` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `sub0-neg_binary64_1770` `*-inverses_binary64_1763` `difference-of-sqr--1_binary64_1754` `distribute-lft-neg-out_binary64_1742` `associate-+r-_binary64_1717`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-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-1-e_binary64_1826` `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` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `unsub-neg_binary64_1777` `/-rgt-identity_binary64_1774` `remove-double-neg_binary64_1771` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719`

Counts

83 → 54

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	95	2204
1	170	1905
2	459	1884
3	2064	1884
4	4478	1881
5	4900	1881
6	4883	1881

prune77.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	54	4	58

Error

0.3b

Counts

58 → 4

Compiler

Compiled 1324 to 875 computations (33.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))

rewrite157.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

30×	`add-sqr-sqrt_binary64_1805`
24×	`sqrt-prod_binary64_1799`
21×	`pow1_binary64_1844`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`
8×	`swap-sqr_binary64_1750`
6×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-l_binary64_1724` `associate-r_binary64_1723`
5×	`pow-prod-up_binary64_1853`
4×	`add-log-exp_binary64_1822` `rem-sqrt-square_binary64_1796` `unswap-sqr_binary64_1751`
3×	`pow-prod-down_binary64_1854` `pow-sqr_binary64_1756`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `sqrt-unprod_binary64_1803` `sqr-abs_binary64_1798` `rem-square-sqrt_binary64_1795` `*-commutative_binary64_1714` `acos-asin_binary64_1964`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))
2.0ms	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))

Compiler

Compiled 2403 to 1721 computations (28.4% saved)

series145.0ms (2.3%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
41.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
23.0ms	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))
22.0ms	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))

Compiler

Compiled 585 to 512 computations (12.5% saved)

simplify134.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

481×	`unswap-sqr_binary64_1751`
447×	`log-div_binary64_1870`
348×	`sqr-pow_binary64_1755`
310×	`associate-*r/_binary64_1725`
272×	`*-commutative_binary64_1714`
268×	`associate-*l/_binary64_1726`
234×	`associate-/l*_binary64_1728`
218×	`associate-+l+_binary64_1716`
197×	`cube-div_binary64_1812`
168×	`log-prod_binary64_1869`
147×	`exp-prod_binary64_1835`
132×	`cube-prod_binary64_1811`
130×	`associate-/l/_binary64_1730`
123×	`associate-+r+_binary64_1715`
121×	`pow-sqr_binary64_1756`
120×	`associate-l_binary64_1724`
119×	`associate-/r/_binary64_1729`
109×	`distribute-rgt-in_binary64_1733`
97×	`distribute-lft-in_binary64_1732`
90×	`swap-sqr_binary64_1750`
78×	`associate-/r*_binary64_1727`
71×	`associate-r_binary64_1723`
54×	`+-commutative_binary64_1713`
46×	`rem-sqrt-square_binary64_1796`
34×	`log-pow_binary64_1872` `pow-plus_binary64_1846`
30×	`times-frac_binary64_1789`
29×	`unpow3_binary64_1849`
26×	`*-lft-identity_binary64_1772`
24×	`exp-sqrt_binary64_1836`
21×	`cube-mult_binary64_1813`
20×	`distribute-rgt-out_binary64_1736`
19×	`log-rec_binary64_1871`
16×	`*-rgt-identity_binary64_1773`
15×	`cube-unmult_binary64_1820` `distribute-lft-out_binary64_1734`
14×	`unpow1/2_binary64_1847`
10×	`count-2_binary64_1731`
8×	`unpow2_binary64_1848` `exp-lft-sqr_binary64_1838`
7×	`sub-neg_binary64_1776`
6×	`unpow1_binary64_1841`
5×	`distribute-rgt1-in_binary64_1739`
4×	`rem-square-sqrt_binary64_1795` `distribute-lft1-in_binary64_1738`
3×	`remove-double-div_binary64_1759`
1×	`prod-exp_binary64_1832` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-3cbrt-rft_binary64_1809` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `/-rgt-identity_binary64_1774`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `div-exp_binary64_1834` `rec-exp_binary64_1833` `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-neg_binary64_1810` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `div-sub_binary64_1788` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `div0_binary64_1764` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `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` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

96 → 68

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	61	1672
1	85	1523
2	188	1483
3	402	1410
4	741	1410
5	1722	1410
6	3521	1400
7	4870	1400
8	5087	1400

prune78.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	67	5	72

Error

0.3b

Counts

72 → 5

Compiler

Compiled 1225 to 867 computations (29.2% saved)

regimes309.0ms (4.9%)

Accuracy

Total 0.0b remaining (4.4%)

Threshold costs 0.0b (4.4%)

Compiler

Compiled 3978 to 2939 computations (26.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
8×	`*-commutative_binary64_1714`
7×	`sub-neg_binary64_1776` `distribute-rgt-neg-in_binary64_1741` `+-commutative_binary64_1713`
6×	`distribute-lft-neg-in_binary64_1740`
5×	`distribute-rgt-neg-out_binary64_1743` `distribute-lft-neg-out_binary64_1742`
4×	`-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `cancel-sign-sub-inv_binary64_1749`
3×	`unsub-neg_binary64_1777`
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` `mul-1-neg_binary64_1775` `/-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` `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: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	22	25
2	34	25
3	45	25
4	64	25
5	69	25
6	72	25
7	73	25
8	69	25

end0.0ms (0%)

sample3.0s (47.8%)

Algorithm

1×

intervals

Results

1.3s	3982×	body	2048	valid
444.0ms	2035×	body	1024	valid
162.0ms	1018×	body	512	valid
48.0ms	470×	body	256	valid
27.0ms	495×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 894 to 667 computations (25.4% saved)

Details

analyze1.1s (16.8%)

sample71.0ms (1.1%)

simplify76.0ms (1.2%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite118.0ms (1.9%)

series129.0ms (2%)

simplify113.0ms (1.8%)

prune51.0ms (0.8%)

localize6.0ms (0.1%)

rewrite34.0ms (0.5%)

series63.0ms (1%)

simplify80.0ms (1.3%)

prune26.0ms (0.4%)

localize12.0ms (0.2%)

rewrite135.0ms (2.1%)

series259.0ms (4.1%)

simplify144.0ms (2.3%)

prune77.0ms (1.2%)

localize9.0ms (0.1%)

rewrite157.0ms (2.5%)

series145.0ms (2.3%)

simplify134.0ms (2.1%)

prune78.0ms (1.2%)

regimes309.0ms (4.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.0s (47.8%)

Profiling