Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample24.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify154.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

653×	`times-frac_binary64_1789`
525×	`distribute-rgt-neg-in_binary64_1741`
492×	`unswap-sqr_binary64_1751`
394×	`cancel-sign-sub-inv_binary64_1749`
371×	`distribute-lft-neg-in_binary64_1740`
311×	`associate-/r/_binary64_1729`
240×	`unsub-neg_binary64_1777`
224×	`associate-l_binary64_1724`
177×	`*-commutative_binary64_1714`
168×	`associate-r_binary64_1723`
155×	`neg-mul-1_binary64_1779`
154×	`neg-sub0_binary64_1778`
141×	`distribute-rgt-in_binary64_1733`
124×	`distribute-lft-neg-out_binary64_1742`
116×	`distribute-rgt-neg-out_binary64_1743`
111×	`sub-neg_binary64_1776` `associate-/l/_binary64_1730`
104×	`sqr-pow_binary64_1755`
101×	`distribute-lft-in_binary64_1732`
85×	`associate-/l*_binary64_1728`
77×	`pow-sqr_binary64_1756`
71×	`distribute-neg-in_binary64_1744`
55×	`remove-double-neg_binary64_1771`
51×	`mul0-lft_binary64_1765`
50×	`mul0-rgt_binary64_1766`
38×	`cube-prod_binary64_1811` `swap-sqr_binary64_1750` `associate-*r/_binary64_1725`
32×	`pow-plus_binary64_1846`
30×	`associate--r+_binary64_1719`
28×	`+-commutative_binary64_1713`
26×	`associate-/r*_binary64_1727`
21×	`associate-+l-_binary64_1718`
20×	`associate-*l/_binary64_1726`
19×	`cube-unmult_binary64_1820` `+-lft-identity_binary64_1767`
18×	`associate--r-_binary64_1722`
14×	`sub0-neg_binary64_1770`
11×	`associate--l+_binary64_1720`
9×	`--rgt-identity_binary64_1769` `associate-+r-_binary64_1717` `associate-+r+_binary64_1715`
8×	`/-rgt-identity_binary64_1774`
7×	`-rgt-identity_binary64_1773` `-lft-identity_binary64_1772` `associate-+l+_binary64_1716`
6×	`+-rgt-identity_binary64_1768` `associate--l-_binary64_1721`
4×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `distribute-lft1-in_binary64_1738`
3×	`remove-double-div_binary64_1759`
2×	`sqr-neg_binary64_1797` `distribute-neg-out_binary64_1745` `distribute-lft-out--_binary64_1735`
1×	`1-exp_binary64_1827` `*-inverses_binary64_1763` `cancel-sign-sub_binary64_1748` `distribute-rgt-out--_binary64_1737` `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` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `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-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` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `div-sub_binary64_1788` `mul-1-neg_binary64_1775` `div0_binary64_1764` `+-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` `distribute-neg-frac_binary64_1747` `distribute-frac-neg_binary64_1746` `distribute-rgt1-in_binary64_1739` `distribute-rgt-out_binary64_1736` `distribute-lft-out_binary64_1734`

Counts

1 → 4

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	22
2	67	22
3	144	22
4	344	22
5	912	22
6	1497	22
7	2973	22

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

52.0b

Counts

5 → 1

Compiler

Compiled 75 to 59 computations (21.3% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

23.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

7×	`cancel-sign-sub-inv_binary64_1749`
3×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783` `unpow-prod-down_binary64_1862`
1×	`diff-log_binary64_1875` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `sqr-pow_binary64_1755`

Counts

1 → 18

Calls

1 calls:

6.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 445 to 328 computations (26.3% saved)

series209.0ms (8.6%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

201.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 402 to 321 computations (20.1% saved)

simplify160.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

376×	`distribute-rgt-in_binary64_1733`
366×	`associate-l_binary64_1724`
339×	`associate-r_binary64_1723`
338×	`unswap-sqr_binary64_1751`
327×	`distribute-lft-in_binary64_1732`
226×	`neg-mul-1_binary64_1779`
225×	`neg-sub0_binary64_1778`
178×	`exp-prod_binary64_1835`
177×	`cancel-sign-sub-inv_binary64_1749`
123×	`times-frac_binary64_1789`
115×	`sqr-pow_binary64_1755`
102×	`distribute-lft-neg-out_binary64_1742`
93×	`distribute-rgt-neg-in_binary64_1741`
87×	`cube-prod_binary64_1811`
86×	`distribute-rgt-neg-out_binary64_1743`
85×	`distribute-lft-neg-in_binary64_1740`
66×	`*-commutative_binary64_1714`
61×	`difference-of-squares_binary64_1752`
58×	`pow-sqr_binary64_1756`
56×	`distribute-lft-out_binary64_1734`
51×	`distribute-rgt-out_binary64_1736`
41×	`exp-sum_binary64_1829`
39×	`unsub-neg_binary64_1777`
34×	`associate-+r+_binary64_1715`
32×	`sub-neg_binary64_1776`
31×	`unpow3_binary64_1849`
28×	`swap-sqr_binary64_1750`
26×	`associate-/l*_binary64_1728`
24×	`cube-unmult_binary64_1820`
23×	`associate-+l+_binary64_1716`
22×	`pow-plus_binary64_1846` `+-commutative_binary64_1713`
19×	`exp-diff_binary64_1831` `-rgt-identity_binary64_1773` `-lft-identity_binary64_1772`
17×	`associate-/l/_binary64_1730`
15×	`cube-mult_binary64_1813`
14×	`associate-*r/_binary64_1725`
13×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
11×	`associate-+r-_binary64_1717`
10×	`sqr-neg_binary64_1797` `div-sub_binary64_1788` `associate-+l-_binary64_1718`
6×	`pow-base-1_binary64_1843` `rem-sqrt-square_binary64_1796`
4×	`exp-neg_binary64_1830` `+-rgt-identity_binary64_1768` `associate-/r*_binary64_1727`
3×	`mul-1-neg_binary64_1775` `sub0-neg_binary64_1770` `associate-/r/_binary64_1729`
2×	`log-prod_binary64_1869` `distribute-neg-in_binary64_1744` `associate--r+_binary64_1719`
1×	`div-exp_binary64_1834` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `-inverses_binary64_1763` `count-2_binary64_1731` `associate-l/_binary64_1726`
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` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `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` `/-rgt-identity_binary64_1774` `remove-double-neg_binary64_1771` `--rgt-identity_binary64_1769` `+-lft-identity_binary64_1767` `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-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-lft-out--_binary64_1735` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720`

Counts

30 → 26

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	449
1	150	411
2	399	408
3	1734	408
4	4191	408

prune38.0ms (1.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

52.0b

Counts

27 → 1

Compiler

Compiled 697 to 525 computations (24.7% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite83.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

12×	`cbrt-prod_binary64_1814`
7×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783` `cancel-sign-sub-inv_binary64_1749`
6×	`unpow-prod-down_binary64_1862`
4×	`add-log-exp_binary64_1822`
3×	`cube-prod_binary64_1811`
2×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `flip--_binary64_1758` `sqr-pow_binary64_1755` `cube-div_binary64_1812` `cbrt-div_binary64_1815`
1×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `pow1/3_binary64_1865` `unpow3_binary64_1849` `cube-mult_binary64_1813` `rem-cbrt-cube_binary64_1807`

Counts

2 → 41

Calls

2 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
6.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 1243 to 963 computations (22.5% saved)

series412.0ms (17%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

207.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
185.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 894 to 729 computations (18.5% saved)

simplify159.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

668×	`associate-l_binary64_1724`
640×	`associate-r_binary64_1723`
251×	`swap-sqr_binary64_1750`
199×	`distribute-lft-in_binary64_1732`
198×	`distribute-rgt-in_binary64_1733`
189×	`sqr-pow_binary64_1755`
174×	`cancel-sign-sub-inv_binary64_1749`
169×	`distribute-rgt-neg-out_binary64_1743`
118×	`exp-prod_binary64_1835`
104×	`pow-sqr_binary64_1756`
101×	`*-commutative_binary64_1714`
97×	`unswap-sqr_binary64_1751`
75×	`cube-prod_binary64_1811`
47×	`unsub-neg_binary64_1777`
43×	`neg-sub0_binary64_1778` `difference-of-squares_binary64_1752`
35×	`neg-mul-1_binary64_1779`
32×	`sub-neg_binary64_1776`
28×	`exp-sum_binary64_1829`
27×	`unpow3_binary64_1849`
26×	`cube-unmult_binary64_1820` `distribute-rgt-neg-in_binary64_1741`
23×	`pow-plus_binary64_1846` `distribute-lft-neg-in_binary64_1740`
21×	`*-rgt-identity_binary64_1773` `distribute-lft-neg-out_binary64_1742`
20×	`*-lft-identity_binary64_1772`
19×	`cube-mult_binary64_1813`
16×	`+-commutative_binary64_1713`
13×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `associate-+r+_binary64_1715`
11×	`exp-diff_binary64_1831` `rem-sqrt-square_binary64_1796` `distribute-rgt-out_binary64_1736`
9×	`log-prod_binary64_1869` `rem-cbrt-cube_binary64_1807` `associate-+r-_binary64_1717`
8×	`pow-base-1_binary64_1843` `associate-+l+_binary64_1716`
7×	`times-frac_binary64_1789`
6×	`distribute-lft-out_binary64_1734` `associate-/l/_binary64_1730` `associate-*r/_binary64_1725`
5×	`log-pow_binary64_1872`
4×	`+-rgt-identity_binary64_1768` `associate-/l*_binary64_1728`
3×	`sqr-neg_binary64_1797` `mul-1-neg_binary64_1775` `sub0-neg_binary64_1770` `associate-+l-_binary64_1718`
2×	`rem-3cbrt-lft_binary64_1808` `rem-square-sqrt_binary64_1795` `distribute-neg-in_binary64_1744`
1×	`div-exp_binary64_1834` `exp-neg_binary64_1830` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-cube-cbrt_binary64_1806` `*-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-rec_binary64_1871` `log-div_binary64_1870` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `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` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `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` `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-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-lft-out--_binary64_1735` `associate-/r/_binary64_1729` `associate-/r_binary64_1727` `associate-l/_binary64_1726` `associate--r-_binary64_1722` `associate--l-_binary64_1721` `associate--l+_binary64_1720` `associate--r+_binary64_1719`

Counts

65 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1161
1	214	1095
2	632	1089
3	3398	1089

prune169.0ms (7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	1	97

Error

52.0b

Counts

97 → 1

Compiler

Compiled 2953 to 2280 computations (22.8% saved)

regimes49.0ms (2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 575 to 499 computations (13.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_1714` `+-commutative_binary64_1713`
2×	`sub-neg_binary64_1776`
1×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
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` `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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
2	26	27
3	28	27
4	29	27

Proof

(+ f64 (cbrt f64 (pow f64 (- f64 (* f64 9 (pow f64 h0 4)) (pow f64 h1 4)) 3)) (* f64 2 (* f64 h1 h1)))

end0.0ms (0%)

sample910.0ms (37.5%)

Algorithm

1×

intervals

Results

344.0ms	8000×	body	128	valid
163.0ms	8000×	pre	128	true

Compiler

Compiled 145 to 125 computations (13.8% saved)

Details

analyze2.0ms (0.1%)

sample24.0ms (1%)

simplify154.0ms (6.3%)

prune5.0ms (0.2%)

localize9.0ms (0.4%)

rewrite29.0ms (1.2%)

series209.0ms (8.6%)

simplify160.0ms (6.6%)

prune38.0ms (1.6%)

localize12.0ms (0.5%)

rewrite83.0ms (3.4%)

series412.0ms (17%)

simplify159.0ms (6.6%)

prune169.0ms (7%)

regimes49.0ms (2%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample910.0ms (37.5%)

Profiling