Details

analyze145.0ms (2.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

15×	`sub-neg_binary64_1435`
14×	`cancel-sign-sub-inv_binary64_1408`
10×	`distribute-rgt-in_binary64_1392`
9×	`neg-mul-1_binary64_1438`
8×	`associate--r+_binary64_1378`
7×	`unsub-neg_binary64_1436`
6×	`neg-sub0_binary64_1437`
5×	`distribute-neg-in_binary64_1403` `distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400` `distribute-lft-in_binary64_1391` `associate--r-_binary64_1381` `+-commutative_binary64_1372`
4×	`*-lft-identity_binary64_1431` `sub0-neg_binary64_1429` `associate-+l-_binary64_1377`
3×	`+-lft-identity_binary64_1426` `distribute-rgt-neg-out_binary64_1402` `associate-+l+_binary64_1375` `*-commutative_binary64_1373`
2×	`*-rgt-identity_binary64_1432`
1×	`1-exp_binary64_1486` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `distribute-lft-neg-in_binary64_1399` `associate--l+_binary64_1379` `associate-+r-_binary64_1376` `associate-+r+_binary64_1374`
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` `unpow3_binary64_1508` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `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-unmult_binary64_1479` `cube-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `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-rgt-out_binary64_1395` `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` `associate-l_binary64_1383` `associate-r*_binary64_1382` `associate--l-_binary64_1380`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	60×	body	1024	valid
4.0ms	148×	body	128	valid
2.0ms	28×	body	512	valid
1.0ms	7×	body	2048	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64_1435`
14×	`cancel-sign-sub-inv_binary64_1408`
10×	`distribute-rgt-in_binary64_1392`
9×	`neg-mul-1_binary64_1438`
8×	`associate--r+_binary64_1378`
7×	`unsub-neg_binary64_1436`
6×	`neg-sub0_binary64_1437`
5×	`distribute-neg-in_binary64_1403` `distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400` `distribute-lft-in_binary64_1391` `associate--r-_binary64_1381` `+-commutative_binary64_1372`
4×	`*-lft-identity_binary64_1431` `sub0-neg_binary64_1429` `associate-+l-_binary64_1377`
3×	`+-lft-identity_binary64_1426` `distribute-rgt-neg-out_binary64_1402` `associate-+l+_binary64_1375` `*-commutative_binary64_1373`
2×	`*-rgt-identity_binary64_1432`
1×	`1-exp_binary64_1486` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `distribute-lft-neg-in_binary64_1399` `associate--l+_binary64_1379` `associate-+r-_binary64_1376` `associate-+r+_binary64_1374`
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` `unpow3_binary64_1508` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `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-unmult_binary64_1479` `cube-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `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-rgt-out_binary64_1395` `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` `associate-l_binary64_1383` `associate-r*_binary64_1382` `associate--l-_binary64_1380`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

27.3b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
3.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite70.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

26.3b

Rules

15×	`sqrt-prod_binary64_1458`
14×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
6×	`cancel-sign-sub-inv_binary64_1408`
5×	`add-cube-cbrt_binary64_1477`
4×	`add-log-exp_binary64_1481` `difference-of-squares_binary64_1411`
3×	`pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
2×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `distribute-lft-out_binary64_1393` `sqrt-div_binary64_1459`
1×	`diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `flip3-+_binary64_1445` `flip-+_binary64_1416` `rem-sqrt-square_binary64_1455`

Counts

2 → 40

Calls

2 calls:

10.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 571 to 370 computations (35.2% saved)

series67.0ms (1%)

Error

26.6b

Counts

2 → 9

Calls

2 calls:

41.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
18.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 245 to 193 computations (21.2% saved)

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

706×	`associate-/l*_binary64_1387`
330×	`cancel-sign-sub-inv_binary64_1408`
278×	`distribute-rgt-in_binary64_1392`
267×	`associate-/l/_binary64_1389`
234×	`distribute-lft-in_binary64_1391`
192×	`distribute-rgt-neg-in_binary64_1400`
183×	`associate-r_binary64_1382`
172×	`associate-l_binary64_1383`
158×	`distribute-lft-neg-in_binary64_1399`
121×	`distribute-rgt-out_binary64_1395`
117×	`times-frac_binary64_1448`
90×	`unswap-sqr_binary64_1410`
86×	`distribute-neg-frac_binary64_1406` `associate-/r/_binary64_1388`
72×	`*-commutative_binary64_1373`
71×	`sub-neg_binary64_1435` `distribute-lft-out_binary64_1393`
63×	`distribute-rgt-out--_binary64_1396`
54×	`associate-/r*_binary64_1386`
48×	`distribute-lft-neg-out_binary64_1401`
47×	`+-commutative_binary64_1372`
45×	`distribute-rgt-neg-out_binary64_1402`
41×	`neg-sub0_binary64_1437`
39×	`div-sub_binary64_1447`
37×	`sqr-pow_binary64_1414`
36×	`unsub-neg_binary64_1436`
35×	`neg-mul-1_binary64_1438`
33×	`associate-+l+_binary64_1375`
32×	`exp-prod_binary64_1494`
31×	`distribute-lft-out--_binary64_1394`
28×	`associate-+r+_binary64_1374`
25×	`difference-of-squares_binary64_1411`
24×	`cube-prod_binary64_1470` `swap-sqr_binary64_1409`
18×	`associate--l+_binary64_1379`
16×	`exp-sum_binary64_1488`
14×	`distribute-rgt1-in_binary64_1398`
13×	`mul-1-neg_binary64_1434` `*-lft-identity_binary64_1431`
12×	`*-rgt-identity_binary64_1432` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
11×	`+-rgt-identity_binary64_1427` `distribute-frac-neg_binary64_1405`
10×	`/-rgt-identity_binary64_1433`
8×	`cube-unmult_binary64_1479`
7×	`sub0-neg_binary64_1429` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `distribute-neg-in_binary64_1403`
6×	`unpow3_binary64_1508` `exp-diff_binary64_1490` `rem-sqrt-square_binary64_1455` `associate-*l/_binary64_1385`
5×	`pow-plus_binary64_1505`
4×	`cube-mult_binary64_1472` `difference-of-sqr--1_binary64_1413` `associate-*r/_binary64_1384`
3×	`rem-square-sqrt_binary64_1454` `pow-sqr_binary64_1415`
2×	`log-prod_binary64_1528` `+-inverses_binary64_1421` `difference-of-sqr-1_binary64_1412`
1×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `div-exp_binary64_1493` `1-exp_binary64_1486` `rem-3cbrt-lft_binary64_1467` `sqr-neg_binary64_1456` `remove-double-neg_binary64_1430` `associate--r-_binary64_1381` `associate--r+_binary64_1378`
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` `exp-neg_binary64_1489` `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` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `div0_binary64_1423` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `cancel-sign-sub_binary64_1407` `distribute-neg-out_binary64_1404` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate--l-_binary64_1380`

Counts

49 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	625
1	200	602
2	480	596
3	1661	589
4	4932	589

prune46.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Error

0.1b

Counts

38 → 3

Compiler

Compiled 499 to 334 computations (33.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

rewrite125.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`*-un-lft-identity_binary64_1442`
24×	`sqrt-prod_binary64_1458`
21×	`distribute-lft-out_binary64_1393`
18×	`times-frac_binary64_1448`
16×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477`
7×	`add-exp-log_binary64_1480`
6×	`associate-/r*_binary64_1386`
5×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/l*_binary64_1387`
2×	`div-exp_binary64_1493` `associate-/r/_binary64_1388` `sqrt-div_binary64_1459`
1×	`inv-pow_binary64_1527` `pow-flip_binary64_1516` `1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `sum-log_binary64_1533` `+-commutative_binary64_1372` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

3 → 75

Calls

3 calls:

12.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
9.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 1268 to 926 computations (27% saved)

series77.0ms (1.1%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

25.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
22.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
22.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 268 to 232 computations (13.4% saved)

simplify137.0ms (2%)

Algorithm

1×	egg-herbie

Rules

577×	`cancel-sign-sub-inv_binary64_1408`
393×	`associate-l_binary64_1383`
314×	`associate-r_binary64_1382`
298×	`distribute-rgt-out_binary64_1395`
248×	`div-sub_binary64_1447`
221×	`times-frac_binary64_1448`
176×	`unswap-sqr_binary64_1410`
175×	`neg-mul-1_binary64_1438`
162×	`sub-neg_binary64_1435`
159×	`neg-sub0_binary64_1437`
150×	`distribute-lft-out_binary64_1393`
149×	`distribute-rgt-neg-in_binary64_1400`
134×	`unsub-neg_binary64_1436`
125×	`distribute-rgt-out--_binary64_1396` `associate-+l+_binary64_1375`
120×	`associate-+r+_binary64_1374`
112×	`*-commutative_binary64_1373`
111×	`distribute-rgt-in_binary64_1392`
109×	`distribute-lft-neg-in_binary64_1399`
87×	`associate-/l*_binary64_1387`
82×	`distribute-lft-in_binary64_1391`
76×	`distribute-lft-out--_binary64_1394`
73×	`+-commutative_binary64_1372`
62×	`cube-prod_binary64_1470`
59×	`associate-+l-_binary64_1377`
54×	`distribute-neg-in_binary64_1403`
51×	`associate-+r-_binary64_1376`
43×	`sqr-pow_binary64_1414`
39×	`exp-prod_binary64_1494`
35×	`associate-/r*_binary64_1386`
34×	`*-rgt-identity_binary64_1432` `distribute-lft-neg-out_binary64_1401`
30×	`cube-div_binary64_1471`
29×	`unpow3_binary64_1508` `pow-plus_binary64_1505`
26×	`*-lft-identity_binary64_1431` `sub0-neg_binary64_1429` `distribute-rgt1-in_binary64_1398`
25×	`associate--l+_binary64_1379`
24×	`associate--r+_binary64_1378`
21×	`difference-of-squares_binary64_1411`
20×	`+-rgt-identity_binary64_1427`
18×	`cube-mult_binary64_1472` `distribute-rgt-neg-out_binary64_1402`
16×	`exp-diff_binary64_1490` `associate-/l/_binary64_1389` `associate-*l/_binary64_1385`
15×	`exp-sum_binary64_1488` `/-rgt-identity_binary64_1433` `associate-/r/_binary64_1388`
14×	`cube-unmult_binary64_1479` `distribute-neg-frac_binary64_1406`
13×	`associate-*r/_binary64_1384`
12×	`log-div_binary64_1529` `log-prod_binary64_1528`
6×	`rem-sqrt-square_binary64_1455`
5×	`distribute-lft1-in_binary64_1397` `associate--r-_binary64_1381`
4×	`log-rec_binary64_1530` `unpow1/2_binary64_1506` `remove-double-neg_binary64_1430` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `pow-sqr_binary64_1415` `swap-sqr_binary64_1409` `associate--l-_binary64_1380`
3×	`mul-1-neg_binary64_1434` `+-lft-identity_binary64_1426` `+-inverses_binary64_1421` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412`
2×	`unpow2_binary64_1507` `unpow1_binary64_1500` `cube-neg_binary64_1469` `rem-square-sqrt_binary64_1454` `--rgt-identity_binary64_1428` `distribute-neg-out_binary64_1404`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `sqr-neg_binary64_1456` `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-pow_binary64_1531` `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` `div-exp_binary64_1493` `rec-exp_binary64_1492` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `div0_binary64_1423` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405`

Counts

87 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1321
1	216	1240
2	459	1234
3	960	1227
4	2442	1227
5	4334	1227
6	4934	1227
7	4859	1227

prune54.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Error

0.0b

Counts

49 → 7

Compiler

Compiled 722 to 533 computations (26.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
0.2b	(cbrt.f64 (+.f64 1 x))
0.2b	(cbrt.f64 (+.f64 1 x))

rewrite197.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
18×	`add-cube-cbrt_binary64_1477`
13×	`cbrt-prod_binary64_1473`
10×	`add-exp-log_binary64_1480` `associate-r_binary64_1382`
9×	`sqrt-prod_binary64_1458` `times-frac_binary64_1448`
8×	`add-cbrt-cube_binary64_1478`
7×	`pow1_binary64_1503`
6×	`cbrt-div_binary64_1474`
4×	`add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`distribute-lft-out_binary64_1393` `unswap-sqr_binary64_1410` `associate-l_binary64_1383` `associate-/l_binary64_1387` `associate-/r_binary64_1386`
2×	`pow1/3_binary64_1524` `sqrt-div_binary64_1459` `associate-*r/_binary64_1384` `div-exp_binary64_1493` `associate-/r/_binary64_1388`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

4 → 90

Calls

4 calls:

12.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
10.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
4.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 2392 to 1869 computations (21.9% saved)

series454.0ms (6.7%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

155.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
113.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
72.0ms	(cbrt.f64 (+.f64 1 x))
66.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1892 to 1612 computations (14.8% saved)

simplify169.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

276×	`associate-+l+_binary64_1375`
270×	`distribute-rgt-in_binary64_1392`
259×	`cancel-sign-sub-inv_binary64_1408` `*-commutative_binary64_1373`
239×	`distribute-lft-in_binary64_1391`
158×	`log-prod_binary64_1528`
146×	`sub-neg_binary64_1435`
133×	`associate-/l*_binary64_1387`
130×	`unswap-sqr_binary64_1410`
127×	`associate-r_binary64_1382`
120×	`associate-l_binary64_1383`
109×	`distribute-rgt-neg-in_binary64_1400`
108×	`distribute-lft-out_binary64_1393`
107×	`sqr-pow_binary64_1414` `associate-/r*_binary64_1386`
92×	`associate-+l-_binary64_1377`
90×	`+-commutative_binary64_1372`
84×	`distribute-lft-neg-in_binary64_1399` `associate-+r+_binary64_1374`
81×	`distribute-rgt-out_binary64_1395`
76×	`associate-+r-_binary64_1376`
73×	`log-div_binary64_1529`
72×	`times-frac_binary64_1448`
70×	`associate--r+_binary64_1378`
66×	`associate--l+_binary64_1379`
60×	`associate-*l/_binary64_1385`
52×	`exp-prod_binary64_1494`
48×	`distribute-rgt-out--_binary64_1396`
44×	`associate-/l/_binary64_1389`
42×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
38×	`log-pow_binary64_1531` `associate-*r/_binary64_1384`
31×	`distribute-lft-out--_binary64_1394`
29×	`+-rgt-identity_binary64_1427`
26×	`unsub-neg_binary64_1436`
25×	`log-rec_binary64_1530` `*-rgt-identity_binary64_1432`
24×	`exp-sum_binary64_1488` `difference-of-squares_binary64_1411`
22×	`div-sub_binary64_1447` `*-lft-identity_binary64_1431`
20×	`distribute-neg-in_binary64_1403`
19×	`swap-sqr_binary64_1409` `associate-/r/_binary64_1388` `associate--r-_binary64_1381`
17×	`pow-sqr_binary64_1415`
15×	`pow-plus_binary64_1505` `cube-prod_binary64_1470` `distribute-rgt1-in_binary64_1398`
14×	`sub0-neg_binary64_1429`
13×	`rem-sqrt-square_binary64_1455`
10×	`exp-to-pow_binary64_1504` `exp-diff_binary64_1490` `/-rgt-identity_binary64_1433`
9×	`unpow3_binary64_1508` `cube-unmult_binary64_1479` `count-2_binary64_1390` `associate--l-_binary64_1380`
8×	`unpow1/3_binary64_1509` `distribute-lft-neg-out_binary64_1401`
4×	`unpow1/2_binary64_1506` `exp-neg_binary64_1489`
3×	`unpow2_binary64_1507` `rem-exp-log_binary64_1482` `cube-mult_binary64_1472` `+-lft-identity_binary64_1426` `+-inverses_binary64_1421` `distribute-rgt-neg-out_binary64_1402`
2×	`rem-square-sqrt_binary64_1454` `difference-of-sqr-1_binary64_1412` `distribute-lft1-in_binary64_1397`
1×	`log-E_binary64_1532` `unpow1_binary64_1500` `prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `sqr-abs_binary64_1457` `--rgt-identity_binary64_1428` `difference-of-sqr--1_binary64_1413` `distribute-neg-frac_binary64_1406`
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` `pow-base-0_binary64_1526` `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` `div-exp_binary64_1493` `rec-exp_binary64_1492` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404`

Counts

120 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	2892
1	462	2735
2	1203	2669
3	2155	2640
4	4784	2640
5	4962	2640
6	4840	2640

prune102.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	64	8	72

Error

0.0b

Counts

72 → 8

Compiler

Compiled 1589 to 1202 computations (24.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.3b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

rewrite1.1s (16.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

334×	`*-un-lft-identity_binary64_1442`
284×	`sqrt-prod_binary64_1458`
238×	`times-frac_binary64_1448`
200×	`add-sqr-sqrt_binary64_1464`
117×	`add-cube-cbrt_binary64_1477`
108×	`distribute-lft-out_binary64_1393`
53×	`swap-sqr_binary64_1409`
52×	`add-exp-log_binary64_1480`
33×	`associate-l_binary64_1383` `associate-r_binary64_1382`
32×	`pow1_binary64_1503`
30×	`pow-flip_binary64_1516`
25×	`unswap-sqr_binary64_1410`
20×	`div-exp_binary64_1493` `add-cbrt-cube_binary64_1478`
18×	`associate-/r*_binary64_1386`
16×	`prod-exp_binary64_1491`
14×	`sqrt-div_binary64_1459`
12×	`associate-/r/_binary64_1388`
11×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460`
10×	`inv-pow_binary64_1527` `1-exp_binary64_1486` `rec-exp_binary64_1492`
9×	`pow-prod-up_binary64_1512`
8×	`div-inv_binary64_1439`
7×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`cbrt-undiv_binary64_1476` `associate-/l*_binary64_1387`
5×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415`
4×	`add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `frac-times_binary64_1452` `un-div-inv_binary64_1440` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373` `rem-sqrt-square_binary64_1455`

Counts

4 → 333

Calls

4 calls:

55.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
15.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
14.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
14.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

Compiler

Compiled 11410 to 8618 computations (24.5% saved)

series148.0ms (2.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

38.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
38.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
32.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
29.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

Compiler

Compiled 597 to 526 computations (11.9% saved)

simplify349.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

502×	`distribute-rgt-in_binary64_1392`
430×	`unsub-neg_binary64_1436`
422×	`associate-/l*_binary64_1387`
345×	`associate-l_binary64_1383`
263×	`associate-r_binary64_1382`
218×	`associate-*l/_binary64_1385`
217×	`cancel-sign-sub-inv_binary64_1408`
213×	`swap-sqr_binary64_1409`
201×	`log-prod_binary64_1528`
195×	`associate-/l/_binary64_1389`
175×	`exp-prod_binary64_1494`
171×	`log-div_binary64_1529`
165×	`associate-*r/_binary64_1384`
153×	`times-frac_binary64_1448`
148×	`associate-+r+_binary64_1374`
141×	`sub-neg_binary64_1435` `distribute-neg-in_binary64_1403`
126×	`sqr-pow_binary64_1414`
124×	`associate-/r/_binary64_1388` `*-commutative_binary64_1373`
120×	`associate-/r*_binary64_1386`
117×	`cube-div_binary64_1471`
108×	`neg-mul-1_binary64_1438`
107×	`cube-prod_binary64_1470`
98×	`neg-sub0_binary64_1437`
97×	`unswap-sqr_binary64_1410`
96×	`associate-+l+_binary64_1375`
78×	`associate-+r-_binary64_1376`
73×	`distribute-lft-in_binary64_1391`
55×	`rem-sqrt-square_binary64_1455`
53×	`associate--r+_binary64_1378`
50×	`distribute-rgt-out_binary64_1395`
47×	`div-sub_binary64_1447`
44×	`associate-+l-_binary64_1377`
43×	`*-rgt-identity_binary64_1432`
39×	`distribute-rgt-neg-in_binary64_1400`
37×	`*-lft-identity_binary64_1431`
34×	`+-commutative_binary64_1372`
33×	`unpow3_binary64_1508`
32×	`distribute-lft-neg-in_binary64_1399`
31×	`pow-plus_binary64_1505` `pow-sqr_binary64_1415`
28×	`distribute-lft-neg-out_binary64_1401`
25×	`associate--r-_binary64_1381` `associate--l+_binary64_1379`
23×	`cube-unmult_binary64_1479`
22×	`cube-mult_binary64_1472` `remove-double-div_binary64_1418`
20×	`log-rec_binary64_1530` `/-rgt-identity_binary64_1433` `distribute-rgt-neg-out_binary64_1402`
17×	`log-pow_binary64_1531` `distribute-rgt-out--_binary64_1396`
16×	`sub0-neg_binary64_1429` `distribute-neg-frac_binary64_1406` `distribute-lft-out_binary64_1393`
15×	`+-rgt-identity_binary64_1427`
13×	`distribute-lft-out--_binary64_1394`
10×	`count-2_binary64_1390`
9×	`rem-square-sqrt_binary64_1454` `distribute-neg-out_binary64_1404`
8×	`+-lft-identity_binary64_1426` `associate--l-_binary64_1380`
7×	`unpow1/2_binary64_1506` `distribute-rgt1-in_binary64_1398`
6×	`remove-double-neg_binary64_1430`
5×	`unpow2_binary64_1507` `--rgt-identity_binary64_1428`
4×	`unpow1_binary64_1500` `rem-cbrt-cube_binary64_1466`
3×	`rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `sqr-neg_binary64_1456` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `difference-of-squares_binary64_1411`
2×	`sqr-abs_binary64_1457` `+-inverses_binary64_1421` `cancel-sign-sub_binary64_1407` `distribute-lft1-in_binary64_1397`
1×	`exp-diff_binary64_1490` `exp-sum_binary64_1488` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `difference-of-sqr-1_binary64_1412` `distribute-frac-neg_binary64_1405`
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` `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` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `rem-cube-cbrt_binary64_1465` `mul-1-neg_binary64_1434` `div0_binary64_1423` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `difference-of-sqr--1_binary64_1413`

Counts

345 → 292

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	167	9772
1	382	7453
2	949	7237
3	2422	7134
4	3449	6770
5	4049	6764
6	4863	6764

prune508.0ms (7.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	286	6	292
Fresh	4	1	5
Picked	1	0	1
Done	1	1	2
Total	292	8	300

Error

Counts

300 → 8

Compiler

Compiled 6284 to 4597 computations (26.8% saved)

regimes372.0ms (5.5%)

Accuracy

Total 0.2b remaining (98.3%)

Threshold costs 0.2b (98.3%)

Compiler

Compiled 4009 to 3235 computations (19.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_1372`
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` `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` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `unsub-neg_binary64_1436` `sub-neg_binary64_1435` `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-inv_binary64_1408` `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` `distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400` `distribute-lft-neg-in_binary64_1399` `*-commutative_binary64_1373`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	16	27
2	14	27

end0.0ms (0%)

sample2.5s (37.4%)

Algorithm

1×

intervals

Results

205.0ms	1997×	body	1024	valid
125.0ms	4357×	body	128	valid
73.0ms	956×	body	512	valid
26.0ms	206×	body	2048	valid
24.0ms	484×	body	256	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 1976 to 1595 computations (19.3% saved)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Details

analyze145.0ms (2.1%)

sample21.0ms (0.3%)

simplify12.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite70.0ms (1%)

series67.0ms (1%)

simplify49.0ms (0.7%)

prune46.0ms (0.7%)

localize6.0ms (0.1%)

rewrite125.0ms (1.9%)

series77.0ms (1.1%)

simplify137.0ms (2%)

prune54.0ms (0.8%)

localize9.0ms (0.1%)

rewrite197.0ms (2.9%)

series454.0ms (6.7%)

simplify169.0ms (2.5%)

prune102.0ms (1.5%)

localize8.0ms (0.1%)

rewrite1.1s (16.3%)

series148.0ms (2.2%)

simplify349.0ms (5.2%)

prune508.0ms (7.5%)

regimes372.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (37.4%)

Profiling

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11