Details

analyze115.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample28.0ms (0.1%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify213.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

844×	`times-frac_binary64_1789`
644×	`distribute-neg-frac_binary64_1747`
487×	`div-sub_binary64_1788`
478×	`associate-/r*_binary64_1727`
357×	`associate-/l*_binary64_1728`
264×	`associate-l_binary64_1724`
245×	`associate-r_binary64_1723`
197×	`associate-*l/_binary64_1726`
150×	`associate-*r/_binary64_1725`
121×	`associate-/l/_binary64_1730`
112×	`cancel-sign-sub-inv_binary64_1749`
108×	`neg-sub0_binary64_1778` `distribute-rgt-neg-in_binary64_1741`
103×	`distribute-lft-neg-in_binary64_1740`
96×	`neg-mul-1_binary64_1779`
94×	`unsub-neg_binary64_1777`
90×	`sub-neg_binary64_1776`
88×	`associate-/r/_binary64_1729`
63×	`*-commutative_binary64_1714`
60×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
51×	`distribute-frac-neg_binary64_1746`
36×	`/-rgt-identity_binary64_1774`
29×	`distribute-lft-neg-out_binary64_1742`
24×	`*-lft-identity_binary64_1772` `distribute-rgt-neg-out_binary64_1743`
23×	`*-rgt-identity_binary64_1773`
22×	`div0_binary64_1764`
19×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
12×	`+-commutative_binary64_1713`
10×	`associate-+r-_binary64_1717`
6×	`distribute-rgt-out_binary64_1736` `distribute-lft-out_binary64_1734` `associate-+r+_binary64_1715`
5×	`mul-1-neg_binary64_1775`
4×	`sub0-neg_binary64_1770` `associate-+l-_binary64_1718`
3×	`+-rgt-identity_binary64_1768`
1×	`div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `1-exp_binary64_1827` `*-inverses_binary64_1763` `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` `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` `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` `remove-double-neg_binary64_1771` `--rgt-identity_binary64_1769` `+-lft-identity_binary64_1767` `+-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-squares_binary64_1752` `unswap-sqr_binary64_1751` `swap-sqr_binary64_1750` `cancel-sign-sub_binary64_1748` `distribute-neg-out_binary64_1745` `distribute-neg-in_binary64_1744` `distribute-rgt1-in_binary64_1739` `distribute-lft1-in_binary64_1738` `distribute-rgt-out--_binary64_1737` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719` `associate-+l+_binary64_1716`

Counts

1 → 4

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	56	43
2	181	43
3	805	43
4	3947	43

prune17.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.2b

Counts

5 → 3

Compiler

Compiled 196 to 137 computations (30.1% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 v (.f64 2 (*.f64 v 3)))
0.3b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (*.f64 PI.f64 t))
0.5b	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 PI.f64 t)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (.f64 v 3))))))

rewrite392.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`times-frac_binary64_1789`
41×	`add-sqr-sqrt_binary64_1805`
39×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
29×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
24×	`sqrt-prod_binary64_1799`
15×	`pow1_binary64_1844`
10×	`associate-/l*_binary64_1728`
9×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `div-inv_binary64_1780`
7×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r*_binary64_1727` `pow-prod-down_binary64_1854`
6×	`associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `associate-r_binary64_1723`
3×	`div-sub_binary64_1788` `associate-/l/_binary64_1730`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `flip3--_binary64_1787` `sqrt-div_binary64_1800` `associate-/r/_binary64_1729` `flip--_binary64_1758` `*-commutative_binary64_1714`
1×	`unswap-sqr_binary64_1751`

Counts

4 → 138

Calls

4 calls:

12.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 PI.f64 t)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (.f64 v 3))))))
7.0ms	(.f64 v (.f64 2 (*.f64 v 3)))
6.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (*.f64 PI.f64 t))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 5860 to 3810 computations (35% saved)

series811.0ms (2.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

417.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 PI.f64 t)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (.f64 v 3))))))
276.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (*.f64 PI.f64 t))
43.0ms	(.f64 v (.f64 2 (*.f64 v 3)))
34.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 2016 to 1517 computations (24.8% saved)

simplify812.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

318×	`cancel-sign-sub-inv_binary64_1749`
274×	`associate-r_binary64_1723`
255×	`distribute-rgt-neg-in_binary64_1741`
237×	`associate-l_binary64_1724`
230×	`distribute-lft-neg-in_binary64_1740`
217×	`distribute-rgt-in_binary64_1733`
206×	`times-frac_binary64_1789`
201×	`div-sub_binary64_1788`
195×	`associate-/r*_binary64_1727`
179×	`associate-/l/_binary64_1730`
174×	`associate-/l*_binary64_1728`
127×	`distribute-neg-frac_binary64_1747`
121×	`sub-neg_binary64_1776`
110×	`*-commutative_binary64_1714`
76×	`associate-*l/_binary64_1726`
64×	`neg-mul-1_binary64_1779`
63×	`neg-sub0_binary64_1778` `associate-*r/_binary64_1725`
54×	`distribute-neg-in_binary64_1744`
53×	`sqr-pow_binary64_1755`
48×	`exp-prod_binary64_1835`
42×	`+-commutative_binary64_1713`
41×	`associate-/r/_binary64_1729`
40×	`/-rgt-identity_binary64_1774` `*-rgt-identity_binary64_1773`
37×	`distribute-lft-neg-out_binary64_1742`
36×	`log-prod_binary64_1869`
34×	`unswap-sqr_binary64_1751`
29×	`swap-sqr_binary64_1750`
27×	`associate-+l+_binary64_1716`
26×	`log-div_binary64_1870` `distribute-lft-in_binary64_1732` `associate-+r+_binary64_1715`
24×	`cube-prod_binary64_1811`
22×	`distribute-rgt-out_binary64_1736`
21×	`associate--r+_binary64_1719`
20×	`*-lft-identity_binary64_1772` `pow-sqr_binary64_1756`
16×	`div-exp_binary64_1834` `prod-exp_binary64_1832`
15×	`associate--l+_binary64_1720`
14×	`cube-div_binary64_1812` `distribute-rgt-out--_binary64_1737`
13×	`unsub-neg_binary64_1777` `distribute-lft-out_binary64_1734`
12×	`distribute-rgt-neg-out_binary64_1743`
10×	`cube-unmult_binary64_1820`
7×	`distribute-rgt1-in_binary64_1739`
6×	`unpow3_binary64_1849` `pow-plus_binary64_1846`
4×	`rec-exp_binary64_1833` `exp-diff_binary64_1831` `cube-mult_binary64_1813` `rem-sqrt-square_binary64_1796`
3×	`exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-sum_binary64_1829` `difference-of-squares_binary64_1752`
2×	`rem-square-sqrt_binary64_1795` `remove-double-neg_binary64_1771` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate-+l-_binary64_1718`
1×	`log-pow_binary64_1872` `log-rec_binary64_1871` `unpow2_binary64_1848` `unpow1_binary64_1841` `exp-sqrt_binary64_1836` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `div0_binary64_1764` `*-inverses_binary64_1763` `distribute-neg-out_binary64_1745`
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` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-cbrt_binary64_1837` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `mul-1-neg_binary64_1775` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `count-2_binary64_1731` `associate-+r-_binary64_1717`

Counts

162 → 588

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	5944
1	778	5541
2	3280	5485

prune2.8s (8.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	584	4	588
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	586	5	591

Error

Counts

591 → 5

Compiler

Compiled 27757 to 18817 computations (32.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 v (.f64 v 3))
0.3b	(*.f64 PI.f64 t)
0.4b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (.f64 v 3)))))) (*.f64 PI.f64 t))
1.0b	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (.f64 v 3))))))

rewrite1.5s (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

537×	`times-frac_binary64_1789`
231×	`add-sqr-sqrt_binary64_1805`
229×	`*-un-lft-identity_binary64_1783`
190×	`add-cube-cbrt_binary64_1818`
111×	`associate-/l*_binary64_1728`
78×	`difference-of-squares_binary64_1752`
64×	`sqrt-prod_binary64_1799`
37×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
32×	`associate-/r/_binary64_1729`
17×	`div-inv_binary64_1780`
16×	`flip3--_binary64_1787` `flip--_binary64_1758`
15×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
11×	`pow1_binary64_1844`
7×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
6×	`associate-r/_binary64_1725` `sqrt-div_binary64_1800` `associate-l*_binary64_1724`
5×	`div-sub_binary64_1788` `associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `pow-prod-down_binary64_1854` `associate-r_binary64_1723`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730` `*-commutative_binary64_1714`
1×	`unswap-sqr_binary64_1751`

Counts

4 → 368

Calls

4 calls:

28.0ms	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (.f64 v 3)))))) (*.f64 PI.f64 t))
15.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (.f64 v 3))))))
5.0ms	(.f64 v (.f64 v 3))
3.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 18577 to 12494 computations (32.7% saved)

series791.0ms (2.3%)

Error

Counts

4 → 21

Calls

4 calls:

560.0ms	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (.f64 v 3)))))) (*.f64 PI.f64 t))
122.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 v (.f64 v 3))))))
43.0ms	(.f64 v (.f64 v 3))
33.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1460 to 1217 computations (16.6% saved)

simplify1.5s (4.4%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-/l*_binary64_1728`
580×	`associate-/r*_binary64_1727`
396×	`associate-/r/_binary64_1729`
287×	`associate-/l/_binary64_1730`
236×	`times-frac_binary64_1789`
179×	`div-sub_binary64_1788`
175×	`associate-*l/_binary64_1726`
63×	`distribute-rgt-in_binary64_1733`
61×	`distribute-lft-in_binary64_1732`
47×	`sub-neg_binary64_1776`
45×	`cancel-sign-sub-inv_binary64_1749`
43×	`*-commutative_binary64_1714`
40×	`distribute-rgt-neg-in_binary64_1741`
31×	`distribute-lft-neg-in_binary64_1740`
28×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
25×	`/-rgt-identity_binary64_1774`
22×	`associate-r_binary64_1723`
21×	`associate-l_binary64_1724`
16×	`sqr-pow_binary64_1755` `associate-*r/_binary64_1725`
15×	`+-commutative_binary64_1713`
14×	`swap-sqr_binary64_1750` `distribute-neg-in_binary64_1744`
12×	`cube-prod_binary64_1811` `unswap-sqr_binary64_1751`
10×	`log-prod_binary64_1869` `exp-prod_binary64_1835` `cube-unmult_binary64_1820` `*-lft-identity_binary64_1772`
9×	`log-div_binary64_1870` `pow-sqr_binary64_1756` `distribute-lft-neg-out_binary64_1742`
8×	`distribute-rgt-out_binary64_1736`
7×	`difference-of-squares_binary64_1752` `distribute-neg-frac_binary64_1747`
5×	`unpow3_binary64_1849` `*-rgt-identity_binary64_1773` `distribute-rgt1-in_binary64_1739` `associate--r+_binary64_1719` `associate-+r+_binary64_1715`
4×	`distribute-lft-out_binary64_1734`
3×	`cube-mult_binary64_1813`
2×	`pow-plus_binary64_1846` `pow-base-1_binary64_1843` `rem-sqrt-square_binary64_1796` `distribute-rgt-out--_binary64_1737` `associate--l-_binary64_1721`
1×	`unpow2_binary64_1848` `exp-lft-cube_binary64_1839` `div-exp_binary64_1834` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `1-exp_binary64_1827` `rem-square-sqrt_binary64_1795` `*-inverses_binary64_1763` `count-2_binary64_1731`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `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` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `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` `rem-3cbrt-lft_binary64_1808` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `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_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `associate--r-_binary64_1722` `associate--l+_binary64_1720` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717` `associate-+l+_binary64_1716`

Counts

389 → 1221

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	707	21658
1	1689	20743

prune8.0s (23.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1220	1	1221
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	1222	4	1226

Error

Counts

1226 → 4

Compiler

Compiled 63600 to 42131 computations (33.8% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v))) (.f64 PI.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3))))))
0.1b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v))) (.f64 PI.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))) t)
0.1b	(.f64 (.f64 v v) 5)
0.2b	(.f64 (.f64 v v) 3)

rewrite710.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

276×	`times-frac_binary64_1789`
112×	`add-sqr-sqrt_binary64_1805`
110×	`*-un-lft-identity_binary64_1783`
92×	`add-cube-cbrt_binary64_1818`
48×	`associate-/l*_binary64_1728`
44×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
36×	`difference-of-squares_binary64_1752`
22×	`associate-/r/_binary64_1729`
20×	`associate-*r/_binary64_1725`
17×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
14×	`pow1_binary64_1844`
12×	`div-inv_binary64_1780`
11×	`flip3--_binary64_1787` `flip--_binary64_1758`
10×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `sqrt-div_binary64_1800`
6×	`pow-prod-down_binary64_1854` `associate-r_binary64_1723`
5×	`div-sub_binary64_1788`
4×	`add-log-exp_binary64_1822` `associate-/r*_binary64_1727`
2×	`unswap-sqr_binary64_1751` `associate-l_binary64_1724` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730`

Counts

4 → 236

Calls

4 calls:

23.0ms	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v))) (.f64 PI.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))) t)
16.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v))) (.f64 PI.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3))))))
6.0ms	(.f64 (.f64 v v) 5)
6.0ms	(.f64 (.f64 v v) 3)

Compiler

Compiled 10670 to 6640 computations (37.8% saved)

series836.0ms (2.4%)

Error

Counts

4 → 21

Calls

4 calls:

565.0ms	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v))) (.f64 PI.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))) t)
154.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v))) (.f64 PI.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3))))))
44.0ms	(.f64 (.f64 v v) 3)
42.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 1492 to 1252 computations (16.1% saved)

simplify1.5s (4.4%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-/l/_binary64_1730`
489×	`div-sub_binary64_1788`
363×	`associate-/r*_binary64_1727`
232×	`associate-/l_binary64_1728` `associate-l*_binary64_1724`
231×	`times-frac_binary64_1789`
202×	`associate-r_binary64_1723`
165×	`associate-/r/_binary64_1729`
152×	`*-commutative_binary64_1714`
114×	`associate-*l/_binary64_1726`
64×	`log-prod_binary64_1869`
60×	`associate-*r/_binary64_1725`
47×	`+-commutative_binary64_1713`
46×	`cancel-sign-sub-inv_binary64_1749`
45×	`sub-neg_binary64_1776`
42×	`log-div_binary64_1870`
39×	`distribute-rgt-neg-in_binary64_1741`
37×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
36×	`cube-prod_binary64_1811`
31×	`/-rgt-identity_binary64_1774`
29×	`exp-prod_binary64_1835` `distribute-lft-neg-in_binary64_1740`
28×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
25×	`cube-div_binary64_1812`
23×	`unswap-sqr_binary64_1751`
17×	`prod-exp_binary64_1832`
16×	`div-exp_binary64_1834` `sqr-pow_binary64_1755` `associate--r+_binary64_1719`
15×	`distribute-neg-in_binary64_1744`
14×	`associate-+l+_binary64_1716`
12×	`pow-plus_binary64_1846` `swap-sqr_binary64_1750` `associate-+r+_binary64_1715`
11×	`cube-unmult_binary64_1820`
10×	`distribute-lft-neg-out_binary64_1742`
9×	`pow-sqr_binary64_1756`
8×	`unpow3_binary64_1849` `*-lft-identity_binary64_1772` `distribute-neg-frac_binary64_1747` `distribute-rgt-out_binary64_1736`
7×	`log-pow_binary64_1872` `difference-of-squares_binary64_1752`
6×	`associate--l-_binary64_1721`
5×	`cube-mult_binary64_1813` `distribute-rgt1-in_binary64_1739` `associate--l+_binary64_1720`
4×	`rec-exp_binary64_1833` `*-rgt-identity_binary64_1773` `associate-+l-_binary64_1718`
3×	`pow-base-1_binary64_1843`
2×	`exp-diff_binary64_1831` `rem-sqrt-square_binary64_1796` `distribute-rgt-out--_binary64_1737` `distribute-lft-out_binary64_1734`
1×	`log-rec_binary64_1871` `unpow2_binary64_1848` `unpow1_binary64_1841` `exp-lft-cube_binary64_1839` `exp-sqrt_binary64_1836` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-square-sqrt_binary64_1795` `*-inverses_binary64_1763` `count-2_binary64_1731` `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` `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` `exp-to-pow_binary64_1845` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-neg_binary64_1830` `exp-sum_binary64_1829` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `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_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-rgt-neg-out_binary64_1743` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `associate-+r-_binary64_1717`

Counts

257 → 923

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	522	13126
1	1290	12091
2	4813	12091

prune4.8s (14%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	923	0	923
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	923	4	927

Error

Counts

927 → 4

Compiler

Compiled 42422 to 27001 computations (36.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 v (.f64 2 (*.f64 v 3)))
0.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 PI.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (*.f64 v 3))))))))
0.3b	(.f64 PI.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (*.f64 v 3)))))))
0.4b	(.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (.f64 v 3))))))

rewrite245.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
20×	`pow1_binary64_1844`
15×	`add-sqr-sqrt_binary64_1805`
13×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`pow-prod-down_binary64_1854` `associate-*r/_binary64_1725`
9×	`associate-l_binary64_1724`
8×	`associate-r_binary64_1723`
6×	`sqrt-div_binary64_1800`
4×	`add-log-exp_binary64_1822` `sqrt-prod_binary64_1799` `flip3--_binary64_1787` `flip--_binary64_1758`
3×	`-commutative_binary64_1714` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `times-frac_binary64_1789` `associate-/l_binary64_1728`
2×	`unswap-sqr_binary64_1751` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 93

Calls

4 calls:

11.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 PI.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (*.f64 v 3))))))))
8.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (*.f64 v 3)))))))
7.0ms	(.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (.f64 v 3))))))
7.0ms	(.f64 v (.f64 2 (*.f64 v 3)))

Compiler

Compiled 3730 to 2516 computations (32.5% saved)

series921.0ms (2.7%)

Error

Counts

4 → 30

Calls

4 calls:

417.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 PI.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (*.f64 v 3))))))))
210.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (*.f64 v 3)))))))
196.0ms	(.f64 t (sqrt.f64 (-.f64 2 (.f64 v (.f64 2 (.f64 v 3))))))
43.0ms	(.f64 v (.f64 2 (*.f64 v 3)))

Compiler

Compiled 2482 to 1861 computations (25% saved)

simplify424.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

397×	`cancel-sign-sub-inv_binary64_1749`
389×	`associate-r_binary64_1723`
378×	`distribute-rgt-neg-in_binary64_1741`
350×	`associate-l_binary64_1724`
263×	`times-frac_binary64_1789`
213×	`associate-/r*_binary64_1727`
160×	`associate-/l*_binary64_1728`
158×	`distribute-neg-frac_binary64_1747`
140×	`*-commutative_binary64_1714`
122×	`sub-neg_binary64_1776`
86×	`neg-sub0_binary64_1778`
83×	`neg-mul-1_binary64_1779`
73×	`distribute-neg-in_binary64_1744`
65×	`sqr-pow_binary64_1755`
60×	`exp-prod_binary64_1835`
55×	`+-commutative_binary64_1713`
54×	`associate-*r/_binary64_1725`
51×	`associate-*l/_binary64_1726`
50×	`unswap-sqr_binary64_1751`
47×	`div-sub_binary64_1788` `distribute-lft-neg-out_binary64_1742`
41×	`log-prod_binary64_1869`
40×	`swap-sqr_binary64_1750`
36×	`associate--r+_binary64_1719`
35×	`*-rgt-identity_binary64_1773`
32×	`*-lft-identity_binary64_1772` `associate-+r+_binary64_1715`
31×	`associate-+l+_binary64_1716`
29×	`cube-prod_binary64_1811`
27×	`distribute-lft-neg-in_binary64_1740`
25×	`pow-sqr_binary64_1756`
23×	`unsub-neg_binary64_1777`
22×	`/-rgt-identity_binary64_1774`
21×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
19×	`associate-/r/_binary64_1729`
15×	`associate--l+_binary64_1720`
10×	`cube-unmult_binary64_1820`
8×	`distribute-rgt-neg-out_binary64_1743`
7×	`log-div_binary64_1870` `unpow3_binary64_1849`
6×	`pow-plus_binary64_1846`
5×	`cube-mult_binary64_1813` `cube-div_binary64_1812` `rem-sqrt-square_binary64_1796`
4×	`prod-exp_binary64_1832` `distribute-rgt-out_binary64_1736`
3×	`exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `difference-of-squares_binary64_1752`
2×	`exp-sum_binary64_1829` `distribute-rgt1-in_binary64_1739` `distribute-lft-out_binary64_1734`
1×	`log-pow_binary64_1872` `unpow2_binary64_1848` `unpow1_binary64_1841` `exp-sqrt_binary64_1836` `exp-diff_binary64_1831` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `remove-double-neg_binary64_1771` `*-inverses_binary64_1763` `distribute-rgt-out--_binary64_1737` `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` `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` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `pow-base-1_binary64_1843` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-cbrt_binary64_1837` `div-exp_binary64_1834` `rec-exp_binary64_1833` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `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-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-lft1-in_binary64_1738` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate-/l/_binary64_1730` `associate--l-_binary64_1721` `associate-+l-_binary64_1718` `associate-+r-_binary64_1717`

Counts

123 → 449

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3675
1	780	3285
2	3456	3283

prune1.7s (5.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	449	0	449
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	449	4	453

Error

Counts

453 → 4

Compiler

Compiled 18749 to 12329 computations (34.2% saved)

regimes2.0s (5.8%)

Accuracy

Total 0.1b remaining (98.5%)

Threshold costs 0.1b (98.5%)

Compiler

Compiled 25003 to 19249 computations (23% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_1714`
9×	`sub-neg_binary64_1776` `+-commutative_binary64_1713`
6×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
5×	`cancel-sign-sub-inv_binary64_1749` `distribute-rgt-neg-in_binary64_1741`
3×	`distribute-lft-neg-out_binary64_1742`
2×	`distribute-lft-neg-in_binary64_1740`
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` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `--rgt-identity_binary64_1769` `+-rgt-identity_binary64_1768` `+-lft-identity_binary64_1767` `cancel-sign-sub_binary64_1748` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-neg-out_binary64_1745` `distribute-neg-in_binary64_1744` `distribute-rgt-neg-out_binary64_1743`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	39	43
2	57	43
3	69	43
4	77	43
5	79	43

Proof

(/ f64 (/ f64 (/ f64 (- f64 1 (* f64 (* f64 h0 h0) 5)) (- f64 1 (* f64 h0 h0))) (* f64 (PI f64) (sqrt f64 (* f64 2 (- f64 1 (* f64 (* f64 h0 h0) 3)))))) h1)

end0.0ms (0%)

sample4.0s (11.7%)

Algorithm

1×

intervals

Results

559.0ms	8000×	body	128	valid
1.0ms	9×	body	128	nan

Compiler

Compiled 4714 to 3636 computations (22.9% saved)

Details

analyze115.0ms (0.3%)

sample28.0ms (0.1%)

simplify213.0ms (0.6%)

prune17.0ms (0%)

localize17.0ms (0%)

rewrite392.0ms (1.1%)

series811.0ms (2.4%)

simplify812.0ms (2.4%)

prune2.8s (8.1%)

localize20.0ms (0.1%)

rewrite1.5s (4.5%)

series791.0ms (2.3%)

simplify1.5s (4.4%)

prune8.0s (23.5%)

localize16.0ms (0%)

rewrite710.0ms (2.1%)

series836.0ms (2.4%)

simplify1.5s (4.4%)

prune4.8s (14%)

localize19.0ms (0.1%)

rewrite245.0ms (0.7%)

series921.0ms (2.7%)

simplify424.0ms (1.2%)

prune1.7s (5.1%)

regimes2.0s (5.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.0s (11.7%)

Profiling