Details

analyze305.0ms (10%)

Algorithm

1×	search
2×	egg-herbie

Rules

656×	`sub-neg_binary64_1435`
524×	`cancel-sign-sub-inv_binary64_1408`
504×	`associate-l_binary64_1383`
330×	`associate-r_binary64_1382`
320×	`distribute-rgt-neg-in_binary64_1400`
304×	`sqr-pow_binary64_1414`
268×	`distribute-neg-in_binary64_1403`
264×	`distribute-lft-neg-in_binary64_1399`
254×	`unsub-neg_binary64_1436`
244×	`associate--r+_binary64_1378`
240×	`distribute-rgt-in_binary64_1392`
236×	`neg-sub0_binary64_1437`
228×	`neg-mul-1_binary64_1438`
226×	`associate-+l-_binary64_1377`
196×	`+-commutative_binary64_1372`
180×	`distribute-lft-in_binary64_1391`
152×	`unswap-sqr_binary64_1410`
150×	`distribute-lft-neg-out_binary64_1401`
134×	`sub0-neg_binary64_1429`
132×	`associate--r-_binary64_1381`
118×	`cube-prod_binary64_1470`
116×	`*-commutative_binary64_1373`
114×	`--rgt-identity_binary64_1428`
102×	`distribute-rgt-neg-out_binary64_1402`
100×	`pow-sqr_binary64_1415`
98×	`associate--l+_binary64_1379`
92×	`distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394`
88×	`remove-double-neg_binary64_1430`
80×	`unpow3_binary64_1508`
72×	`distribute-lft-out_binary64_1393`
70×	`cube-mult_binary64_1472` `swap-sqr_binary64_1409`
62×	`associate-+r-_binary64_1376`
60×	`distribute-rgt-out_binary64_1395`
56×	`pow-plus_binary64_1505`
42×	`distribute-neg-out_binary64_1404`
40×	`associate--l-_binary64_1380`
30×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `associate-+r+_binary64_1374`
26×	`+-rgt-identity_binary64_1427`
22×	`sqr-neg_binary64_1456`
20×	`cancel-sign-sub_binary64_1407`
18×	`associate-+l+_binary64_1375`
10×	`unpow2_binary64_1507` `rem-sqrt-square_binary64_1455` `*-lft-identity_binary64_1431`
8×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `cube-unmult_binary64_1479` `cube-neg_binary64_1469`
6×	`+-lft-identity_binary64_1426`
2×	`mul-1-neg_binary64_1434`
1×	`1-exp_binary64_1486`
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_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-prod_binary64_1494` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-r/_binary64_1384`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	45	44
2	128	44
3	292	44
4	605	44
5	1611	44
6	3140	44
7	3420	44
8	4075	44
9	4184	44
10	4637	44
11	4959	44
12	4793	44
0	2	2
1	2	2

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify154.0ms (5%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-neg-in_binary64_1400`
530×	`cancel-sign-sub-inv_binary64_1408`
519×	`distribute-lft-neg-in_binary64_1399`
486×	`sqr-pow_binary64_1414`
309×	`neg-mul-1_binary64_1438`
307×	`neg-sub0_binary64_1437`
267×	`*-commutative_binary64_1373`
212×	`sub-neg_binary64_1435`
204×	`unswap-sqr_binary64_1410`
201×	`cube-prod_binary64_1470`
174×	`pow-sqr_binary64_1415`
165×	`distribute-lft-neg-out_binary64_1401`
146×	`distribute-rgt-neg-out_binary64_1402`
131×	`associate--r+_binary64_1378`
130×	`unpow3_binary64_1508`
125×	`unsub-neg_binary64_1436`
124×	`associate-l_binary64_1383`
114×	`remove-double-neg_binary64_1430`
108×	`distribute-neg-in_binary64_1403`
97×	`associate-r_binary64_1382`
91×	`+-commutative_binary64_1372`
87×	`distribute-rgt-in_binary64_1392`
79×	`cube-mult_binary64_1472`
69×	`distribute-lft-in_binary64_1391`
62×	`cancel-sign-sub_binary64_1407`
60×	`pow-plus_binary64_1505`
56×	`sqr-neg_binary64_1456`
55×	`associate-+l-_binary64_1377`
42×	`sub0-neg_binary64_1429`
36×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
35×	`swap-sqr_binary64_1409`
34×	`--rgt-identity_binary64_1428`
25×	`rem-sqrt-square_binary64_1455`
24×	`*-lft-identity_binary64_1431`
23×	`associate--l+_binary64_1379`
14×	`associate-+r+_binary64_1374`
13×	`*-rgt-identity_binary64_1432`
12×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500`
11×	`cube-neg_binary64_1469` `distribute-rgt-out--_binary64_1396`
10×	`cube-unmult_binary64_1479` `associate--r-_binary64_1381` `associate-+l+_binary64_1375`
4×	`associate-+r-_binary64_1376`
2×	`+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `distribute-rgt-out_binary64_1395` `associate--l-_binary64_1380`
1×	`1-exp_binary64_1486` `distribute-neg-out_binary64_1404`
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_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-prod_binary64_1494` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-*r/_binary64_1384`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	27	22
2	73	22
3	157	22
4	285	22
5	593	22
6	1042	22
7	1815	22
8	2169	22
9	2308	22
10	2558	22
11	2851	22
12	3174	22
13	4093	22
14	4954	22
15	4710	22

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

62.0b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

62.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

8×	`associate--r+_binary64_1378`
7×	`cancel-sign-sub-inv_binary64_1408`
4×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
3×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442` `sub-neg_binary64_1435`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

1 → 20

Calls

1 calls:

6.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Compiler

Compiled 549 to 311 computations (43.4% saved)

series132.0ms (4.3%)

Error

57.8b

Counts

1 → 7

Calls

1 calls:

127.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Compiler

Compiled 172 to 165 computations (4.1% saved)

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64_1383`
366×	`associate-r_binary64_1382`
293×	`cancel-sign-sub-inv_binary64_1408`
258×	`associate-+l+_binary64_1375`
200×	`distribute-rgt-neg-in_binary64_1400`
197×	`associate-+r+_binary64_1374`
195×	`distribute-lft-neg-in_binary64_1399`
186×	`exp-prod_binary64_1494`
163×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
137×	`unswap-sqr_binary64_1410`
136×	`times-frac_binary64_1448`
135×	`+-commutative_binary64_1372`
104×	`distribute-lft-neg-out_binary64_1401`
97×	`distribute-rgt-out_binary64_1395`
94×	`distribute-rgt-neg-out_binary64_1402`
91×	`*-commutative_binary64_1373`
83×	`exp-sum_binary64_1488`
79×	`distribute-neg-in_binary64_1403`
71×	`distribute-lft-out_binary64_1393`
68×	`sqr-pow_binary64_1414` `associate--r+_binary64_1378`
51×	`cube-prod_binary64_1470`
47×	`sub-neg_binary64_1435`
45×	`exp-diff_binary64_1490`
38×	`neg-sub0_binary64_1437`
34×	`unsub-neg_binary64_1436`
32×	`neg-mul-1_binary64_1438`
24×	`unpow3_binary64_1508` `swap-sqr_binary64_1409` `associate-+l-_binary64_1377`
23×	`associate-/l*_binary64_1387`
21×	`associate--l+_binary64_1379`
16×	`cube-mult_binary64_1472`
15×	`pow-plus_binary64_1505`
14×	`difference-of-squares_binary64_1411`
13×	`cube-unmult_binary64_1479`
12×	`pow-sqr_binary64_1415` `associate-/r*_binary64_1386` `associate-+r-_binary64_1376`
8×	`sqr-neg_binary64_1456` `distribute-rgt-out--_binary64_1396`
7×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
6×	`sub0-neg_binary64_1429`
5×	`+-rgt-identity_binary64_1427` `associate-*r/_binary64_1384`
4×	`exp-neg_binary64_1489` `mul-1-neg_binary64_1434` `distribute-lft-out--_binary64_1394`
3×	`associate-/l/_binary64_1389`
2×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `exp-lft-sqr_binary64_1497` `div-exp_binary64_1493` `rem-sqrt-square_binary64_1455` `div-sub_binary64_1447` `associate-/r/_binary64_1388`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `cube-neg_binary64_1469` `associate-*l/_binary64_1385` `associate--l-_binary64_1380`
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_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `rec-exp_binary64_1492` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate--r-_binary64_1381`

Counts

27 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	601
1	140	544
2	467	544
3	2007	544
4	4538	544
5	4947	544

prune29.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	1	23

Error

52.0b

Counts

23 → 1

Compiler

Compiled 472 to 338 computations (28.4% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

23.0b

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

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

7×	`cancel-sign-sub-inv_binary64_1408`
3×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442` `unpow-prod-down_binary64_1521`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `sqr-pow_binary64_1414`

Counts

1 → 18

Calls

1 calls:

7.0ms

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

Compiler

Compiled 463 to 346 computations (25.3% saved)

series325.0ms (10.6%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

312.0ms

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

Compiler

Compiled 432 to 351 computations (18.8% saved)

simplify83.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

509×	`unsub-neg_binary64_1436`
421×	`times-frac_binary64_1448`
357×	`distribute-rgt-in_binary64_1392`
328×	`associate-l_binary64_1383`
309×	`distribute-lft-in_binary64_1391`
302×	`associate-r_binary64_1382`
284×	`exp-prod_binary64_1494`
239×	`unswap-sqr_binary64_1410`
198×	`sqr-pow_binary64_1414`
188×	`neg-sub0_binary64_1437`
187×	`neg-mul-1_binary64_1438`
158×	`cancel-sign-sub-inv_binary64_1408`
152×	`cube-prod_binary64_1470`
90×	`distribute-lft-neg-out_binary64_1401`
76×	`distribute-rgt-neg-in_binary64_1400`
75×	`distribute-rgt-neg-out_binary64_1402`
70×	`distribute-lft-neg-in_binary64_1399`
64×	`*-commutative_binary64_1373`
62×	`unpow3_binary64_1508`
60×	`sub-neg_binary64_1435`
59×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
54×	`exp-sum_binary64_1488` `distribute-lft-out_binary64_1393`
50×	`pow-plus_binary64_1505`
49×	`distribute-rgt-out_binary64_1395`
48×	`pow-sqr_binary64_1415`
44×	`cube-mult_binary64_1472`
32×	`swap-sqr_binary64_1409`
30×	`exp-diff_binary64_1490`
28×	`associate-+r+_binary64_1374`
27×	`cube-unmult_binary64_1479`
24×	`rem-sqrt-square_binary64_1455`
23×	`associate-+l+_binary64_1375`
21×	`+-commutative_binary64_1372`
18×	`difference-of-squares_binary64_1411`
11×	`associate-/l*_binary64_1387`
10×	`sqr-neg_binary64_1456` `sub0-neg_binary64_1429`
9×	`unpow2_binary64_1507` `associate-+l-_binary64_1377`
8×	`div-sub_binary64_1447` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426`
7×	`mul-1-neg_binary64_1434`
5×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `--rgt-identity_binary64_1428` `associate-+r-_binary64_1376`
4×	`exp-neg_binary64_1489` `associate-/r*_binary64_1386`
3×	`associate-*r/_binary64_1384`
2×	`cube-neg_binary64_1469` `rem-square-sqrt_binary64_1454` `distribute-neg-in_binary64_1403` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate--r+_binary64_1378`
1×	`log-prod_binary64_1528` `div-exp_binary64_1493` `1-exp_binary64_1486` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `*-rgt-identity_binary64_1432` `remove-double-neg_binary64_1430`
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_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `/-rgt-identity_binary64_1433` `-lft-identity_binary64_1431` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390` `associate-*l/_binary64_1385` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379`

Counts

30 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	415
1	147	376
2	371	376
3	1416	376
4	3560	370
5	4443	370
6	5269	370

prune17.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Error

52.0b

Counts

15 → 1

Compiler

Compiled 270 to 198 computations (26.7% saved)

localize13.0ms (0.4%)

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))

rewrite100.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

12×	`cbrt-prod_binary64_1473`
7×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442` `cancel-sign-sub-inv_binary64_1408`
6×	`unpow-prod-down_binary64_1521`
4×	`add-log-exp_binary64_1481`
3×	`cube-prod_binary64_1470`
2×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `flip--_binary64_1417` `sqr-pow_binary64_1414` `cube-div_binary64_1471` `cbrt-div_binary64_1474`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `pow1/3_binary64_1524` `unpow3_binary64_1508` `cube-mult_binary64_1472` `rem-cbrt-cube_binary64_1466`

Counts

2 → 41

Calls

2 calls:

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

Compiler

Compiled 1284 to 1004 computations (21.8% saved)

series632.0ms (20.6%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

304.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
303.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 954 to 789 computations (17.3% saved)

simplify74.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

790×	`unswap-sqr_binary64_1410`
632×	`associate-l_binary64_1383`
601×	`associate-r_binary64_1382`
222×	`swap-sqr_binary64_1409`
196×	`distribute-lft-in_binary64_1391`
195×	`distribute-rgt-in_binary64_1392`
130×	`sqr-pow_binary64_1414`
101×	`*-commutative_binary64_1373`
81×	`exp-prod_binary64_1494`
62×	`cube-prod_binary64_1470`
41×	`unsub-neg_binary64_1436`
35×	`neg-sub0_binary64_1437`
29×	`sub-neg_binary64_1435`
28×	`neg-mul-1_binary64_1438` `cancel-sign-sub-inv_binary64_1408`
27×	`pow-plus_binary64_1505`
25×	`unpow3_binary64_1508`
24×	`cube-unmult_binary64_1479`
23×	`distribute-rgt-neg-in_binary64_1400`
22×	`exp-sum_binary64_1488` `pow-sqr_binary64_1415`
20×	`distribute-lft-neg-in_binary64_1399`
18×	`difference-of-squares_binary64_1411` `distribute-lft-neg-out_binary64_1401`
17×	`cube-mult_binary64_1472`
15×	`+-commutative_binary64_1372`
12×	`rem-sqrt-square_binary64_1455` `distribute-rgt-neg-out_binary64_1402`
11×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `distribute-rgt-out_binary64_1395`
9×	`log-prod_binary64_1528`
8×	`rem-cbrt-cube_binary64_1466` `associate-+l+_binary64_1375`
7×	`exp-diff_binary64_1490` `associate-+r+_binary64_1374`
5×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500`
4×	`mul-1-neg_binary64_1434` `distribute-lft-out_binary64_1393`
3×	`log-pow_binary64_1531` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `sub0-neg_binary64_1429` `+-rgt-identity_binary64_1427` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
2×	`rem-3cbrt-lft_binary64_1467` `associate-/l*_binary64_1387`
1×	`div-exp_binary64_1493` `exp-neg_binary64_1489` `1-exp_binary64_1486` `rem-3cbrt-rft_binary64_1468` `rem-cube-cbrt_binary64_1465` `count-2_binary64_1390`
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_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-rec_binary64_1530` `log-div_binary64_1529` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `cube-neg_binary64_1469` `sqr-abs_binary64_1457` `div-sub_binary64_1447` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378`

Counts

65 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1118
1	207	1024
2	593	1024
3	3047	1024
4	5079	1024

prune54.0ms (1.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	1	37

Error

52.0b

Counts

37 → 1

Compiler

Compiled 844 to 639 computations (24.3% saved)

regimes91.0ms (3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 942 to 777 computations (17.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64_1373`
7×	`sub-neg_binary64_1435` `+-commutative_binary64_1372`
5×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
3×	`distribute-rgt-neg-in_binary64_1400`
2×	`cancel-sign-sub-inv_binary64_1408` `distribute-lft-neg-in_binary64_1399`
1×	`distribute-lft-neg-out_binary64_1401`
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_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `unpow1_binary64_1500` `e-exp-1_binary64_1487` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `unsub-neg_binary64_1436` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403` `distribute-rgt-neg-out_binary64_1402`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	54
1	28	54
2	41	54
3	52	54
4	59	54
5	62	54
6	63	54
7	62	54

end0.0ms (0%)

sample854.0ms (27.9%)

Algorithm

1×

intervals

Results

279.0ms	8000×	body	128	valid
145.0ms	8000×	pre	128	true

Compiler

Compiled 170 to 140 computations (17.6% saved)

Details

analyze305.0ms (10%)

sample22.0ms (0.7%)

simplify154.0ms (5%)

prune7.0ms (0.2%)

localize9.0ms (0.3%)

rewrite36.0ms (1.2%)

series132.0ms (4.3%)

simplify72.0ms (2.3%)

prune29.0ms (0.9%)

localize13.0ms (0.4%)

rewrite36.0ms (1.2%)

series325.0ms (10.6%)

simplify83.0ms (2.7%)

prune17.0ms (0.6%)

localize13.0ms (0.4%)

rewrite100.0ms (3.3%)

series632.0ms (20.6%)

simplify74.0ms (2.4%)

prune54.0ms (1.8%)

regimes91.0ms (3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample854.0ms (27.9%)

Profiling