Details

analyze57.0ms (0.6%)

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%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.2%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify723.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64_1789`
488×	`exp-prod_binary64_1835`
370×	`distribute-rgt-in_binary64_1733`
316×	`swap-sqr_binary64_1750`
273×	`associate-/l*_binary64_1728`
232×	`pow-plus_binary64_1846`
204×	`unsub-neg_binary64_1777`
196×	`distribute-rgt1-in_binary64_1739`
162×	`distribute-lft-neg-in_binary64_1740`
139×	`distribute-rgt-neg-in_binary64_1741`
128×	`distribute-rgt-neg-out_binary64_1743`
114×	`exp-sum_binary64_1829`
106×	`distribute-lft-in_binary64_1732`
102×	`distribute-lft-neg-out_binary64_1742`
90×	`neg-mul-1_binary64_1779`
89×	`*-commutative_binary64_1714`
85×	`associate-+l-_binary64_1718`
82×	`neg-sub0_binary64_1778`
76×	`sqr-pow_binary64_1755` `distribute-neg-in_binary64_1744`
72×	`distribute-neg-out_binary64_1745`
68×	`associate-r_binary64_1723`
66×	`associate-+l+_binary64_1716`
60×	`associate-+r+_binary64_1715`
59×	`associate-+r-_binary64_1717`
55×	`+-commutative_binary64_1713`
50×	`exp-diff_binary64_1831` `sqr-neg_binary64_1797`
49×	`pow-sqr_binary64_1756`
48×	`associate-l_binary64_1724`
44×	`exp-neg_binary64_1830`
37×	`remove-double-neg_binary64_1771`
27×	`sub-neg_binary64_1776`
25×	`distribute-rgt-out_binary64_1736`
24×	`associate--r+_binary64_1719`
19×	`distribute-lft1-in_binary64_1738`
17×	`associate-*l/_binary64_1726`
15×	`exp-lft-sqr_binary64_1838`
14×	`associate-/r*_binary64_1727`
13×	`div-sub_binary64_1788` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
9×	`sub0-neg_binary64_1770`
8×	`*-rgt-identity_binary64_1773`
7×	`cube-prod_binary64_1811` `*-lft-identity_binary64_1772` `cancel-sign-sub-inv_binary64_1749`
5×	`pow-base-1_binary64_1843` `distribute-frac-neg_binary64_1746` `distribute-rgt-out--_binary64_1737` `associate--l-_binary64_1721`
4×	`cube-unmult_binary64_1820`
3×	`+-rgt-identity_binary64_1768` `count-2_binary64_1731` `associate-*r/_binary64_1725`
2×	`--rgt-identity_binary64_1769` `associate--r-_binary64_1722`
1×	`unpow3_binary64_1849` `prod-exp_binary64_1832` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `cube-neg_binary64_1810` `div0_binary64_1764` `unswap-sqr_binary64_1751` `distribute-neg-frac_binary64_1747` `associate--l+_binary64_1720`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `log-pow_binary64_1872` `log-rec_binary64_1871` `log-div_binary64_1870` `log-prod_binary64_1869` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow2_binary64_1848` `unpow1/2_binary64_1847` `exp-to-pow_binary64_1845` `unpow0_binary64_1842` `unpow1_binary64_1841` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `exp-sqrt_binary64_1836` `div-exp_binary64_1834` `rec-exp_binary64_1833` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `cube-mult_binary64_1813` `cube-div_binary64_1812` `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` `mul-1-neg_binary64_1775` `/-rgt-identity_binary64_1774` `+-lft-identity_binary64_1767` `*-inverses_binary64_1763` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `rgt-mult-inverse_binary64_1760` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754` `difference-of-sqr-1_binary64_1753` `difference-of-squares_binary64_1752` `cancel-sign-sub_binary64_1748` `distribute-lft-out--_binary64_1735` `distribute-lft-out_binary64_1734` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	31	10
3	57	10
4	128	10
5	207	10
6	417	10
7	1136	10
8	4948	10

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_1805`
3×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-l_binary64_1724` `associate-r*_binary64_1723`
2×	`sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `cancel-sign-sub-inv_binary64_1749` `distribute-lft-in_binary64_1732` `associate-*r/_binary64_1725`
1×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `flip3--_binary64_1787` `flip--_binary64_1758` `*-commutative_binary64_1714`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

Compiler

Compiled 340 to 177 computations (47.9% saved)

series130.0ms (1.4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

123.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

Compiler

Compiled 186 to 150 computations (19.4% saved)

simplify227.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

625×	`unsub-neg_binary64_1777`
293×	`associate-l_binary64_1724`
228×	`associate-+l+_binary64_1716`
224×	`associate-r_binary64_1723`
221×	`*-commutative_binary64_1714`
203×	`neg-sub0_binary64_1778`
189×	`exp-prod_binary64_1835` `neg-mul-1_binary64_1779`
166×	`times-frac_binary64_1789`
160×	`div-sub_binary64_1788`
147×	`associate-+r+_binary64_1715`
139×	`distribute-rgt-neg-out_binary64_1743`
134×	`sub-neg_binary64_1776`
121×	`distribute-rgt-in_binary64_1733`
112×	`distribute-lft-neg-out_binary64_1742` `distribute-lft-in_binary64_1732`
108×	`unswap-sqr_binary64_1751`
90×	`distribute-rgt-neg-in_binary64_1741`
88×	`associate-/r*_binary64_1727`
87×	`cancel-sign-sub-inv_binary64_1749`
80×	`associate-/l*_binary64_1728`
78×	`distribute-lft-neg-in_binary64_1740`
70×	`associate-/r/_binary64_1729`
59×	`cube-prod_binary64_1811`
58×	`log-prod_binary64_1869`
54×	`distribute-rgt-out_binary64_1736`
52×	`sqr-pow_binary64_1755`
48×	`exp-to-pow_binary64_1845`
47×	`pow-plus_binary64_1846`
44×	`log-pow_binary64_1872` `exp-sum_binary64_1829`
41×	`exp-diff_binary64_1831`
40×	`exp-sqrt_binary64_1836` `associate-+l-_binary64_1718`
37×	`+-commutative_binary64_1713`
35×	`exp-lft-sqr_binary64_1838` `associate-*l/_binary64_1726`
32×	`cube-div_binary64_1812` `pow-sqr_binary64_1756`
30×	`associate-*r/_binary64_1725`
26×	`log-div_binary64_1870`
25×	`*-lft-identity_binary64_1772` `associate-+r-_binary64_1717`
24×	`*-rgt-identity_binary64_1773`
17×	`distribute-neg-frac_binary64_1747` `associate-/l/_binary64_1730` `associate--l-_binary64_1721`
15×	`pow-base-1_binary64_1843` `swap-sqr_binary64_1750`
14×	`unpow3_binary64_1849`
13×	`cube-mult_binary64_1813`
11×	`mul0-rgt_binary64_1766` `mul0-lft_binary64_1765`
8×	`mul-1-neg_binary64_1775` `distribute-lft-out_binary64_1734` `associate--r+_binary64_1719`
7×	`cube-unmult_binary64_1820` `distribute-rgt-out--_binary64_1737`
6×	`sqr-neg_binary64_1797` `difference-of-squares_binary64_1752`
4×	`prod-exp_binary64_1832` `rem-sqrt-square_binary64_1796` `sub0-neg_binary64_1770` `difference-of-sqr-1_binary64_1753`
3×	`distribute-rgt1-in_binary64_1739`
2×	`log-rec_binary64_1871` `exp-neg_binary64_1830` `cube-neg_binary64_1810` `+-rgt-identity_binary64_1768` `distribute-neg-out_binary64_1745` `distribute-neg-in_binary64_1744` `distribute-lft-out--_binary64_1735` `count-2_binary64_1731` `associate--l+_binary64_1720`
1×	`unpow2_binary64_1848` `unpow1_binary64_1841` `exp-lft-cube_binary64_1839` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `/-rgt-identity_binary64_1774` `*-inverses_binary64_1763`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2046` `erf-erfc_binary64_2045` `erf-odd_binary64_2044` `if-if-and-not_binary64_2043` `if-if-and_binary64_2042` `if-if-or-not_binary64_2041` `if-if-or_binary64_2040` `if-not_binary64_2039` `if-same_binary64_2038` `if-false_binary64_2037` `if-true_binary64_2036` `not-gte_binary64_2035` `not-lte_binary64_2034` `not-gt_binary64_2033` `not-lt_binary64_2032` `gte-same_binary64_2031` `lte-same_binary64_2030` `gt-same_binary64_2029` `lt-same_binary64_2028` `sinh---cosh_binary64_1975` `sinh-+-cosh_binary64_1974` `sinh-cosh_binary64_1973` `tanh-def-c_binary64_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `cosh-def_binary64_1969` `sinh-def_binary64_1968` `tan-neg_binary64_1915` `cos-neg_binary64_1914` `sin-neg_binary64_1913` `tan-0_binary64_1912` `cos-0_binary64_1911` `sin-0_binary64_1910` `hang-m-tan_binary64_1909` `hang-p-tan_binary64_1908` `hang-m0-tan_binary64_1907` `hang-p0-tan_binary64_1906` `hang-0m-tan_binary64_1905` `hang-0p-tan_binary64_1904` `tan-+PI/2_binary64_1903` `tan-+PI_binary64_1902` `tan-PI_binary64_1901` `tan-PI/3_binary64_1900` `tan-PI/4_binary64_1899` `tan-PI/6_binary64_1898` `cos-+PI/2_binary64_1897` `cos-+PI_binary64_1896` `cos-PI_binary64_1895` `cos-PI/2_binary64_1894` `cos-PI/3_binary64_1893` `cos-PI/4_binary64_1892` `cos-PI/6_binary64_1891` `sin-+PI/2_binary64_1890` `sin-+PI_binary64_1889` `sin-PI_binary64_1888` `sin-PI/2_binary64_1887` `sin-PI/3_binary64_1886` `sin-PI/4_binary64_1885` `sin-PI/6_binary64_1884` `sub-1-sin_binary64_1883` `sub-1-cos_binary64_1882` `-1-add-sin_binary64_1881` `-1-add-cos_binary64_1880` `1-sub-sin_binary64_1879` `1-sub-cos_binary64_1878` `cos-sin-sum_binary64_1877` `log-E_binary64_1873` `pow-base-0_binary64_1867` `unpow1/3_binary64_1850` `unpow1/2_binary64_1847` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-cbrt_binary64_1837` `div-exp_binary64_1834` `rec-exp_binary64_1833` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `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` `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` `cancel-sign-sub_binary64_1748` `distribute-frac-neg_binary64_1746` `distribute-lft1-in_binary64_1738` `associate--r-_binary64_1722`

Counts

36 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	441
1	135	399
2	440	398
3	1377	396
4	3140	396

prune65.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	90	5	95

Error

0.0b

Counts

95 → 5

Compiler

Compiled 1135 to 297 computations (73.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (.f64 x (cbrt.f64 (-.f64 1 (.f64 x y))))) (cbrt.f64 (-.f64 1 (.f64 x y))))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))

rewrite223.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

60×	`cbrt-div_binary64_1815`
30×	`flip3--_binary64_1787` `flip--_binary64_1758`
28×	`frac-times_binary64_1793`
26×	`associate-*r/_binary64_1725`
14×	`associate-*l/_binary64_1726`
13×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
12×	`cbrt-prod_binary64_1814`
9×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
7×	`add-cbrt-cube_binary64_1819`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822`
3×	`pow1/3_binary64_1865`
1×	`associate-l_binary64_1724` `*-commutative_binary64_1714`

Counts

4 → 89

Calls

4 calls:

19.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (.f64 x (cbrt.f64 (-.f64 1 (.f64 x y))))) (cbrt.f64 (-.f64 1 (.f64 x y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

Compiler

Compiled 3526 to 1966 computations (44.2% saved)

series709.0ms (7.9%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

171.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
161.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
158.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
146.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (.f64 x (cbrt.f64 (-.f64 1 (.f64 x y))))) (cbrt.f64 (-.f64 1 (.f64 x y))))

Compiler

Compiled 3399 to 2375 computations (30.1% saved)

simplify1.3s (14%)

Algorithm

1×	egg-herbie

Rules

346×	`unswap-sqr_binary64_1751`
328×	`distribute-rgt-neg-in_binary64_1741`
310×	`distribute-lft-neg-in_binary64_1740`
298×	`*-commutative_binary64_1714`
262×	`associate-l_binary64_1724`
244×	`cancel-sign-sub-inv_binary64_1749`
204×	`associate-r_binary64_1723`
145×	`sub-neg_binary64_1776`
118×	`distribute-rgt-in_binary64_1733`
116×	`sqr-pow_binary64_1755`
108×	`neg-sub0_binary64_1778`
107×	`neg-mul-1_binary64_1779`
106×	`exp-prod_binary64_1835` `distribute-lft-in_binary64_1732`
98×	`distribute-neg-frac_binary64_1747` `distribute-lft-neg-out_binary64_1742`
95×	`times-frac_binary64_1789`
84×	`exp-sum_binary64_1829`
83×	`unsub-neg_binary64_1777`
77×	`distribute-rgt-neg-out_binary64_1743`
62×	`pow-sqr_binary64_1756` `associate-*r/_binary64_1725`
60×	`log-prod_binary64_1869`
55×	`div-sub_binary64_1788`
48×	`associate-*l/_binary64_1726`
47×	`exp-diff_binary64_1831`
46×	`associate-/l*_binary64_1728`
43×	`associate-/r*_binary64_1727`
41×	`cube-prod_binary64_1811`
35×	`swap-sqr_binary64_1750` `+-commutative_binary64_1713`
32×	`log-div_binary64_1870`
28×	`distribute-neg-out_binary64_1745` `distribute-rgt-out_binary64_1736`
27×	`associate-+l+_binary64_1716`
26×	`*-rgt-identity_binary64_1773`
25×	`pow-plus_binary64_1846` `associate-+r-_binary64_1717`
23×	`cube-div_binary64_1812` `*-lft-identity_binary64_1772`
21×	`/-rgt-identity_binary64_1774` `associate-+l-_binary64_1718`
20×	`log-pow_binary64_1872`
19×	`distribute-lft-out_binary64_1734`
17×	`sub0-neg_binary64_1770` `associate-+r+_binary64_1715`
16×	`exp-sqrt_binary64_1836`
15×	`difference-of-squares_binary64_1752` `associate--r+_binary64_1719`
14×	`distribute-neg-in_binary64_1744`
13×	`associate-/r/_binary64_1729`
12×	`associate--r-_binary64_1722`
11×	`exp-to-pow_binary64_1845`
10×	`exp-neg_binary64_1830` `associate--l+_binary64_1720`
9×	`div-exp_binary64_1834` `+-rgt-identity_binary64_1768`
8×	`distribute-frac-neg_binary64_1746` `distribute-rgt1-in_binary64_1739` `associate--l-_binary64_1721`
7×	`unpow3_binary64_1849` `distribute-rgt-out--_binary64_1737`
6×	`pow-base-1_binary64_1843` `rem-exp-log_binary64_1823` `cube-unmult_binary64_1820` `cube-mult_binary64_1813` `--rgt-identity_binary64_1769` `mul0-rgt_binary64_1766` `mul0-lft_binary64_1765` `difference-of-sqr-1_binary64_1753` `associate-/l/_binary64_1730`
5×	`rec-exp_binary64_1833`
4×	`log-rec_binary64_1871` `unpow1/3_binary64_1850`
3×	`exp-lft-sqr_binary64_1838` `rem-3cbrt-lft_binary64_1808`
2×	`unpow2_binary64_1848` `unpow1_binary64_1841` `remove-double-neg_binary64_1771` `cancel-sign-sub_binary64_1748` `distribute-lft1-in_binary64_1738` `count-2_binary64_1731`
1×	`prod-exp_binary64_1832` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-cbrt-cube_binary64_1807` `rem-sqrt-square_binary64_1796` `mul-1-neg_binary64_1775` `*-inverses_binary64_1763` `rgt-mult-inverse_binary64_1760` `distribute-lft-out--_binary64_1735`
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` `unpow1/2_binary64_1847` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-cbrt_binary64_1837` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `+-lft-identity_binary64_1767` `div0_binary64_1764` `+-inverses_binary64_1762` `lft-mult-inverse_binary64_1761` `remove-double-div_binary64_1759` `difference-of-sqr--1_binary64_1754`

Counts

143 → 457

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	4315
1	385	3679
2	1311	3583
3	2847	3439

prune1.2s (13.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	456	1	457
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	457	5	462

Error

0.0b

Counts

462 → 5

Compiler

Compiled 18936 to 9790 computations (48.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (cbrt.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y))))) (cbrt.f64 (+.f64 1 (.f64 x y))))
0.2b	(cbrt.f64 (+.f64 1 (*.f64 x y)))
3.8b	(.f64 x (.f64 y (*.f64 x y)))
6.1b	(cbrt.f64 (-.f64 1 (.f64 x (.f64 y (*.f64 x y)))))

rewrite289.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`cbrt-prod_binary64_1814`
36×	`times-frac_binary64_1789`
35×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
15×	`add-exp-log_binary64_1821`
13×	`pow1_binary64_1844` `add-cbrt-cube_binary64_1819`
8×	`cbrt-div_binary64_1815`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
4×	`add-log-exp_binary64_1822`
3×	`associate-l_binary64_1724`
2×	`pow1/3_binary64_1865` `flip3--_binary64_1787` `flip--_binary64_1758` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`associate-r_binary64_1723` `*-commutative_binary64_1714` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

4 → 111

Calls

4 calls:

8.0ms	(/.f64 (cbrt.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y))))) (cbrt.f64 (+.f64 1 (.f64 x y))))
7.0ms	(.f64 x (.f64 y (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (.f64 x (.f64 y (*.f64 x y)))))
2.0ms	(cbrt.f64 (+.f64 1 (*.f64 x y)))

Compiler

Compiled 5235 to 2621 computations (49.9% saved)

series866.0ms (9.7%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

276.0ms	(cbrt.f64 (+.f64 1 (*.f64 x y)))
188.0ms	(/.f64 (cbrt.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y))))) (cbrt.f64 (+.f64 1 (.f64 x y))))
187.0ms	(cbrt.f64 (-.f64 1 (.f64 x (.f64 y (*.f64 x y)))))
116.0ms	(.f64 x (.f64 y (*.f64 x y)))

Compiler

Compiled 4942 to 3376 computations (31.7% saved)

simplify610.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

529×	`cancel-sign-sub-inv_binary64_1749`
454×	`associate-/l*_binary64_1728`
366×	`distribute-rgt-neg-in_binary64_1741`
310×	`distribute-lft-neg-in_binary64_1740`
214×	`associate-/r/_binary64_1729`
210×	`associate-r_binary64_1723`
168×	`associate-l_binary64_1724`
138×	`unswap-sqr_binary64_1751`
122×	`associate-/l/_binary64_1730`
115×	`associate-/r*_binary64_1727`
101×	`distribute-rgt-in_binary64_1733`
99×	`distribute-neg-frac_binary64_1747`
97×	`sub-neg_binary64_1776`
95×	`times-frac_binary64_1789`
86×	`distribute-rgt-out_binary64_1736`
81×	`distribute-lft-in_binary64_1732`
79×	`sqr-pow_binary64_1755`
76×	`*-commutative_binary64_1714`
69×	`log-prod_binary64_1869` `neg-mul-1_binary64_1779`
66×	`neg-sub0_binary64_1778`
65×	`exp-prod_binary64_1835` `distribute-lft-neg-out_binary64_1742`
58×	`exp-sum_binary64_1829`
53×	`+-commutative_binary64_1713`
47×	`swap-sqr_binary64_1750` `distribute-rgt-out--_binary64_1737`
40×	`pow-sqr_binary64_1756`
35×	`cube-prod_binary64_1811` `associate-*r/_binary64_1725`
31×	`/-rgt-identity_binary64_1774` `distribute-lft-out_binary64_1734`
30×	`associate-*l/_binary64_1726`
29×	`unsub-neg_binary64_1777`
22×	`*-rgt-identity_binary64_1773`
19×	`div-sub_binary64_1788`
18×	`associate--l+_binary64_1720`
16×	`log-div_binary64_1870`
15×	`associate-+l+_binary64_1716`
14×	`distribute-rgt-neg-out_binary64_1743` `distribute-rgt1-in_binary64_1739`
13×	`pow-plus_binary64_1846` `distribute-neg-out_binary64_1745`
12×	`exp-diff_binary64_1831` `distribute-neg-in_binary64_1744`
11×	`associate-+r+_binary64_1715`
10×	`unpow1/3_binary64_1850`
9×	`log-pow_binary64_1872` `unpow3_binary64_1849` `*-lft-identity_binary64_1772` `distribute-lft-out--_binary64_1735`
8×	`cube-mult_binary64_1813` `cube-div_binary64_1812` `associate--r-_binary64_1722`
7×	`associate--r+_binary64_1719`
6×	`div-exp_binary64_1834`
5×	`log-rec_binary64_1871` `difference-of-squares_binary64_1752`
4×	`cube-unmult_binary64_1820` `remove-double-neg_binary64_1771`
3×	`pow-base-1_binary64_1843` `--rgt-identity_binary64_1769` `*-inverses_binary64_1763` `distribute-lft1-in_binary64_1738`
2×	`unpow2_binary64_1848` `unpow1_binary64_1841` `rem-3cbrt-lft_binary64_1808` `count-2_binary64_1731`
1×	`exp-to-pow_binary64_1845` `exp-sqrt_binary64_1836` `rec-exp_binary64_1833` `prod-exp_binary64_1832` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823` `rem-cbrt-cube_binary64_1807` `rem-sqrt-square_binary64_1796` `associate-+l-_binary64_1718` `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` `pow-base-0_binary64_1867` `unpow1/2_binary64_1847` `unpow0_binary64_1842` `unpow-1_binary64_1840` `exp-lft-cube_binary64_1839` `exp-lft-sqr_binary64_1838` `exp-cbrt_binary64_1837` `exp-neg_binary64_1830` `e-exp-1_binary64_1828` `exp-0_binary64_1825` `cube-neg_binary64_1810` `rem-3cbrt-rft_binary64_1809` `rem-cube-cbrt_binary64_1806` `sqr-abs_binary64_1798` `sqr-neg_binary64_1797` `rem-square-sqrt_binary64_1795` `mul-1-neg_binary64_1775` `sub0-neg_binary64_1770` `+-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` `associate--l-_binary64_1721`

Counts

159 → 353

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	4981
1	640	4745
2	2168	4508

prune1.2s (13.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	352	6	358

Error

Counts

358 → 6

Compiler

Compiled 17031 to 8571 computations (49.7% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

10.2b

(*.f64 y (*.f64 x x))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805` `associate-l_binary64_1724`
2×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
1×	`add-log-exp_binary64_1822` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 y (*.f64 x x))

Compiler

Compiled 231 to 75 computations (67.5% saved)

series90.0ms (1%)

Error

Counts

1 → 6

Calls

1 calls:

86.0ms

(*.f64 y (*.f64 x x))

Compiler

Compiled 126 to 98 computations (22.2% saved)

simplify158.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

727×	`unswap-sqr_binary64_1751`
356×	`log-prod_binary64_1869`
312×	`exp-prod_binary64_1835`
283×	`distribute-rgt-in_binary64_1733`
280×	`times-frac_binary64_1789`
221×	`distribute-rgt-out_binary64_1736`
217×	`distribute-lft-in_binary64_1732`
197×	`cube-div_binary64_1812`
190×	`log-div_binary64_1870`
188×	`associate-l_binary64_1724`
133×	`exp-sum_binary64_1829`
126×	`associate-+l+_binary64_1716`
124×	`*-commutative_binary64_1714`
121×	`sqr-pow_binary64_1755`
118×	`associate-r_binary64_1723`
101×	`associate-/l*_binary64_1728`
84×	`associate-/r/_binary64_1729`
73×	`cube-prod_binary64_1811` `associate-/l/_binary64_1730`
72×	`associate-+r+_binary64_1715`
64×	`pow-sqr_binary64_1756` `associate-/r*_binary64_1727`
60×	`swap-sqr_binary64_1750`
59×	`unpow3_binary64_1849`
57×	`cube-mult_binary64_1813`
54×	`associate-*l/_binary64_1726`
43×	`pow-plus_binary64_1846`
38×	`associate-*r/_binary64_1725`
28×	`exp-sqrt_binary64_1836` `distribute-lft-out_binary64_1734`
23×	`log-pow_binary64_1872` `exp-lft-sqr_binary64_1838`
16×	`div-exp_binary64_1834` `prod-exp_binary64_1832` `distribute-rgt1-in_binary64_1739`
15×	`*-lft-identity_binary64_1772`
14×	`/-rgt-identity_binary64_1774`
12×	`log-rec_binary64_1871`
11×	`cube-unmult_binary64_1820`
9×	`+-commutative_binary64_1713`
6×	`distribute-lft1-in_binary64_1738` `count-2_binary64_1731`
5×	`*-rgt-identity_binary64_1773`
4×	`rec-exp_binary64_1833`
1×	`unpow2_binary64_1848` `pow-base-1_binary64_1843` `unpow1_binary64_1841` `1-exp_binary64_1827` `exp-1-e_binary64_1826` `rem-log-exp_binary64_1824` `neg-mul-1_binary64_1779` `neg-sub0_binary64_1778` `sub-neg_binary64_1776` `--rgt-identity_binary64_1769` `*-inverses_binary64_1763` `rgt-mult-inverse_binary64_1760`
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-cube_binary64_1839` `exp-cbrt_binary64_1837` `exp-diff_binary64_1831` `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` `rem-sqrt-square_binary64_1796` `rem-square-sqrt_binary64_1795` `div-sub_binary64_1788` `unsub-neg_binary64_1777` `mul-1-neg_binary64_1775` `remove-double-neg_binary64_1771` `sub0-neg_binary64_1770` `+-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` `remove-double-div_binary64_1759` `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

25 → 58

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	255
1	74	210
2	227	210
3	418	210
4	807	210
5	1958	210
6	3768	210

prune36.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	58	6	64

Error

Counts

64 → 6

Compiler

Compiled 707 to 135 computations (80.9% saved)

regimes165.0ms (1.8%)

Accuracy

Total 0.1b remaining (92.2%)

Threshold costs 0.1b (92.2%)

Compiler

Compiled 1719 to 1121 computations (34.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_1714`
4×	`sub-neg_binary64_1776` `+-commutative_binary64_1713`
3×	`neg-mul-1_binary64_1779` `neg-sub0_binary64_1778`
2×	`cancel-sign-sub-inv_binary64_1749` `distribute-rgt-neg-in_binary64_1741`
1×	`1-exp_binary64_1827` `distribute-lft-neg-out_binary64_1742` `distribute-lft-neg-in_binary64_1740`
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	7	10
1	16	10
2	25	10
3	31	10
4	35	10
5	36	10

Proof

(* f64 h0 (- f64 1 (* f64 h0 h1)))

end0.0ms (0%)

sample884.0ms (9.9%)

Algorithm

1×

intervals

Results

180.0ms	8000×	body	128	valid
2.0ms	98×	body	128	invalid

Compiler

Compiled 582 to 382 computations (34.4% saved)

Details

analyze57.0ms (0.6%)

sample14.0ms (0.2%)

simplify723.0ms (8.1%)

prune4.0ms (0%)

localize5.0ms (0.1%)

rewrite28.0ms (0.3%)

series130.0ms (1.4%)

simplify227.0ms (2.5%)

prune65.0ms (0.7%)

localize8.0ms (0.1%)

rewrite223.0ms (2.5%)

series709.0ms (7.9%)

simplify1.3s (14%)

prune1.2s (13.3%)

localize18.0ms (0.2%)

rewrite289.0ms (3.2%)

series866.0ms (9.7%)

simplify610.0ms (6.8%)

prune1.2s (13.3%)

localize4.0ms (0%)

rewrite19.0ms (0.2%)

series90.0ms (1%)

simplify158.0ms (1.8%)

prune36.0ms (0.4%)

regimes165.0ms (1.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample884.0ms (9.9%)

Profiling