Details

analyze151.0ms (1.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

28×	`sub-neg_binary64_1435`
25×	`cancel-sign-sub-inv_binary64_1408`
18×	`distribute-rgt-in_binary64_1392`
16×	`neg-mul-1_binary64_1438`
15×	`associate--r+_binary64_1378`
14×	`unsub-neg_binary64_1436`
12×	`associate--r-_binary64_1381`
10×	`neg-sub0_binary64_1437` `distribute-lft-in_binary64_1391`
8×	`*-lft-identity_binary64_1431` `sub0-neg_binary64_1429` `distribute-neg-in_binary64_1403` `+-commutative_binary64_1372`
7×	`distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400` `associate-+l-_binary64_1377`
6×	`+-lft-identity_binary64_1426` `associate-+l+_binary64_1375`
5×	`distribute-rgt-neg-out_binary64_1402` `*-commutative_binary64_1373`
4×	`*-rgt-identity_binary64_1432`
2×	`--rgt-identity_binary64_1428` `associate--l+_binary64_1379` `associate-+r-_binary64_1376` `associate-+r+_binary64_1374`
1×	`1-exp_binary64_1486` `remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `distribute-lft-neg-in_binary64_1399`
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	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample86.0ms (0.7%)

Algorithm

1×

intervals

Results

35.0ms	101×	body	1024	valid
26.0ms	52×	body	2048	valid
8.0ms	41×	body	512	valid
3.0ms	22×	body	256	valid
3.0ms	40×	body	128	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify12.0ms (0.1%)

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` `associate--r-_binary64_1381`
5×	`distribute-neg-in_binary64_1403` `distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400` `distribute-lft-in_binary64_1391` `+-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	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	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

37.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.1b	(sin.f64 (+.f64 x eps))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

24.0b

Rules

5×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`add-log-exp_binary64_1481`
3×	`add-cube-cbrt_binary64_1477` `cancel-sign-sub-inv_binary64_1408`
2×	`sin-sum_binary64_1575` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
1×	`diff-sin_binary64_1592` `diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate--l+_binary64_1379`

Counts

2 → 26

Calls

2 calls:

7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 382 to 101 computations (73.6% saved)

series187.0ms (1.5%)

Error

11.9b

Counts

2 → 23

Calls

2 calls:

108.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
51.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 647 to 389 computations (39.9% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

408×	`unsub-neg_binary64_1436`
279×	`distribute-rgt-neg-in_binary64_1400`
272×	`distribute-lft-neg-in_binary64_1399`
271×	`neg-mul-1_binary64_1438`
257×	`neg-sub0_binary64_1437`
242×	`associate-r_binary64_1382`
234×	`distribute-rgt-in_binary64_1392`
212×	`associate-l_binary64_1383`
205×	`cancel-sign-sub-inv_binary64_1408`
200×	`distribute-lft-in_binary64_1391`
186×	`sub-neg_binary64_1435`
149×	`associate-+l-_binary64_1377`
125×	`associate-+l+_binary64_1375`
108×	`+-commutative_binary64_1372`
103×	`associate-+r+_binary64_1374`
94×	`associate--l+_binary64_1379`
87×	`*-commutative_binary64_1373`
86×	`unswap-sqr_binary64_1410`
78×	`distribute-rgt-out_binary64_1395`
77×	`distribute-lft-out--_binary64_1394`
71×	`distribute-rgt-out--_binary64_1396`
65×	`associate-+r-_binary64_1376`
56×	`distribute-lft-out_binary64_1393`
53×	`distribute-lft-neg-out_binary64_1401`
47×	`associate--r+_binary64_1378`
45×	`distribute-rgt-neg-out_binary64_1402`
43×	`sqr-pow_binary64_1414`
28×	`exp-prod_binary64_1494`
23×	`unpow3_binary64_1508` `exp-sum_binary64_1488` `associate--l-_binary64_1380`
21×	`+-rgt-identity_binary64_1427`
20×	`pow-plus_binary64_1505`
19×	`cube-unmult_binary64_1479` `cube-prod_binary64_1470` `sub0-neg_binary64_1429`
17×	`exp-diff_binary64_1490`
14×	`div-sub_binary64_1447`
12×	`difference-of-squares_binary64_1411`
10×	`swap-sqr_binary64_1409`
8×	`cube-mult_binary64_1472` `distribute-neg-in_binary64_1403`
7×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
6×	`sqr-neg_binary64_1456` `times-frac_binary64_1448` `distribute-rgt1-in_binary64_1398`
5×	`cancel-sign-sub_binary64_1407` `associate-/l*_binary64_1387` `associate--r-_binary64_1381`
4×	`rem-sqrt-square_binary64_1455` `pow-sqr_binary64_1415`
3×	`rec-exp_binary64_1492` `mul-1-neg_binary64_1434`
2×	`sin-neg_binary64_1572` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `cube-neg_binary64_1469` `+-inverses_binary64_1421` `distribute-neg-frac_binary64_1406` `count-2_binary64_1390`
1×	`cos-neg_binary64_1573` `log-prod_binary64_1528` `div-exp_binary64_1493` `1-exp_binary64_1486` `rem-3cbrt-lft_binary64_1467` `rem-square-sqrt_binary64_1454` `--rgt-identity_binary64_1428` `distribute-lft1-in_binary64_1397` `associate-/r/_binary64_1388` `associate-/r*_binary64_1386`
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` `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` `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` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `+-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` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `associate-/l/_binary64_1389` `associate-l/_binary64_1385` `associate-*r/_binary64_1384`

Counts

49 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	787
1	237	764
2	555	726
3	1795	713
4	4233	713
5	4952	713
6	4922	713

prune44.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	3	40

Error

0.2b

Counts

40 → 3

Compiler

Compiled 565 to 199 computations (64.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
0.2b	(*.f64 (cos.f64 eps) (sin.f64 x))
2.6b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

rewrite113.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-sqr-sqrt_binary64_1464`
11×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
9×	`add-cube-cbrt_binary64_1477`
8×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`associate-l_binary64_1383` `associate-r_binary64_1382`
3×	`cancel-sign-sub-inv_binary64_1408`
2×	`sum-log_binary64_1533` `diff-log_binary64_1534` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`
1×	`flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate--l+_binary64_1379` `sin-cos-mult_binary64_1598` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

4 → 66

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
7.0ms	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
5.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
5.0ms	(*.f64 (cos.f64 eps) (sin.f64 x))

Compiler

Compiled 1495 to 285 computations (80.9% saved)

series776.0ms (6.4%)

Error

0.2b

Counts

4 → 43

Calls

4 calls:

270.0ms	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
203.0ms	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
134.0ms	(*.f64 (cos.f64 eps) (sin.f64 x))
129.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))

Compiler

Compiled 1751 to 957 computations (45.3% saved)

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

390×	`cancel-sign-sub-inv_binary64_1408`
336×	`distribute-rgt-neg-in_binary64_1400`
333×	`*-commutative_binary64_1373`
317×	`sub-neg_binary64_1435`
289×	`distribute-lft-neg-in_binary64_1399`
230×	`distribute-rgt-in_binary64_1392`
204×	`distribute-lft-in_binary64_1391`
164×	`times-frac_binary64_1448`
137×	`distribute-rgt-out_binary64_1395`
135×	`associate-r_binary64_1382`
132×	`associate-l_binary64_1383`
125×	`unswap-sqr_binary64_1410`
114×	`+-commutative_binary64_1372`
106×	`associate-+l+_binary64_1375`
100×	`neg-mul-1_binary64_1438`
98×	`neg-sub0_binary64_1437`
95×	`sqr-pow_binary64_1414`
91×	`distribute-rgt-out--_binary64_1396`
83×	`unsub-neg_binary64_1436` `associate-+r+_binary64_1374`
82×	`distribute-lft-out_binary64_1393`
79×	`associate--l+_binary64_1379`
75×	`exp-prod_binary64_1494`
70×	`distribute-lft-out--_binary64_1394`
68×	`associate-+l-_binary64_1377`
62×	`associate-+r-_binary64_1376`
51×	`distribute-lft-neg-out_binary64_1401`
38×	`exp-sum_binary64_1488`
35×	`+-rgt-identity_binary64_1427`
34×	`cube-prod_binary64_1470` `sub0-neg_binary64_1429` `associate--r+_binary64_1378`
32×	`distribute-rgt-neg-out_binary64_1402`
31×	`log-prod_binary64_1528`
29×	`distribute-neg-in_binary64_1403` `associate-/l*_binary64_1387`
24×	`swap-sqr_binary64_1409`
16×	`unpow3_binary64_1508` `*-lft-identity_binary64_1431`
14×	`-rgt-identity_binary64_1432` `difference-of-squares_binary64_1411` `associate-/r_binary64_1386`
13×	`exp-diff_binary64_1490`
12×	`cube-unmult_binary64_1479` `pow-sqr_binary64_1415`
9×	`cancel-sign-sub_binary64_1407` `distribute-rgt1-in_binary64_1398` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
8×	`rem-sqrt-square_binary64_1455` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
7×	`associate-*r/_binary64_1384`
6×	`unpow1/2_binary64_1506` `pow-plus_binary64_1505` `cube-mult_binary64_1472` `sqr-neg_binary64_1456`
5×	`div-exp_binary64_1493` `distribute-lft1-in_binary64_1397`
2×	`unpow2_binary64_1507` `unpow1_binary64_1500` `count-2_binary64_1390`
1×	`sin-neg_binary64_1572` `log-pow_binary64_1531` `prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `rem-3cbrt-lft_binary64_1467` `rem-square-sqrt_binary64_1454` `associate-*l/_binary64_1385`
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` `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` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `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` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

109 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	2078
1	476	2021
2	1344	1905
3	3088	1881
4	4662	1881
5	4960	1881

prune105.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	68	10	78
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	70	11	81

Error

0.1b

Counts

81 → 11

Compiler

Compiled 1865 to 624 computations (66.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
2.3b	(+.f64 (cos.f64 eps) -1)
2.3b	(+.f64 (cos.f64 eps) -1)
2.3b	(+.f64 (cos.f64 eps) -1)

rewrite149.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`*-un-lft-identity_binary64_1442`
10×	`add-log-exp_binary64_1481`
8×	`add-sqr-sqrt_binary64_1464`
5×	`add-cube-cbrt_binary64_1477`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`sum-log_binary64_1533` `difference-of-sqr--1_binary64_1413` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `cbrt-prod_binary64_1473`
2×	`cbrt-div_binary64_1474`
1×	`pow1/3_binary64_1524`

Counts

4 → 52

Calls

4 calls:

4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
4.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 2746 to 1153 computations (58% saved)

series1.1s (8.7%)

Error

0.1b

Counts

4 → 28

Calls

4 calls:

869.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
42.0ms	(+.f64 (cos.f64 eps) -1)
40.0ms	(+.f64 (cos.f64 eps) -1)
39.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3868 to 2122 computations (45.1% saved)

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

698×	`associate-l_binary64_1383`
635×	`associate-r_binary64_1382`
265×	`distribute-rgt-in_binary64_1392`
245×	`cancel-sign-sub-inv_binary64_1408`
232×	`distribute-lft-in_binary64_1391`
143×	`neg-sub0_binary64_1437`
130×	`neg-mul-1_binary64_1438`
124×	`sub-neg_binary64_1435`
117×	`unsub-neg_binary64_1436`
107×	`distribute-rgt-neg-in_binary64_1400`
103×	`unswap-sqr_binary64_1410`
96×	`distribute-lft-neg-in_binary64_1399`
89×	`times-frac_binary64_1448`
80×	`*-commutative_binary64_1373`
77×	`associate-/l*_binary64_1387`
65×	`associate-/r*_binary64_1386`
60×	`sqr-pow_binary64_1414`
55×	`distribute-neg-in_binary64_1403`
46×	`unpow3_binary64_1508`
45×	`+-commutative_binary64_1372`
43×	`cube-prod_binary64_1470`
38×	`log-prod_binary64_1528`
30×	`associate-/r/_binary64_1388`
27×	`distribute-lft-neg-out_binary64_1401`
25×	`exp-prod_binary64_1494` `distribute-rgt-out_binary64_1395`
20×	`distribute-rgt-out--_binary64_1396` `associate--l+_binary64_1379` `associate--r+_binary64_1378`
19×	`associate-*l/_binary64_1385` `associate-+l+_binary64_1375`
18×	`cube-unmult_binary64_1479`
17×	`pow-plus_binary64_1505` `associate-*r/_binary64_1384`
16×	`log-pow_binary64_1531` `div-sub_binary64_1447`
14×	`distribute-rgt-neg-out_binary64_1402`
12×	`associate-+r+_binary64_1374`
9×	`unpow1/3_binary64_1509` `rem-sqrt-square_binary64_1455` `distribute-lft-out--_binary64_1394`
8×	`exp-sum_binary64_1488` `distribute-neg-frac_binary64_1406`
7×	`cube-mult_binary64_1472` `distribute-lft-out_binary64_1393`
6×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `mul-1-neg_binary64_1434` `swap-sqr_binary64_1409`
4×	`associate-/l/_binary64_1389`
3×	`cube-neg_binary64_1469` `sqr-neg_binary64_1456`
2×	`exp-to-pow_binary64_1504` `exp-diff_binary64_1490` `rem-exp-log_binary64_1482` `pow-sqr_binary64_1415` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
1×	`sub-1-cos_binary64_1541` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `*-rgt-identity_binary64_1432` `remove-double-neg_binary64_1430` `difference-of-squares_binary64_1411` `distribute-rgt1-in_binary64_1398`
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` `-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` `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` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `/-rgt-identity_binary64_1433` `-lft-identity_binary64_1431` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `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` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

80 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1702
1	416	1644
2	1205	1564
3	4502	1536
4	4944	1536
5	4951	1536

prune172.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	60	13	73

Error

0.1b

Counts

73 → 13

Compiler

Compiled 3740 to 1684 computations (55% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
0.6b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))))
2.3b	(+.f64 (cos.f64 eps) -1)
2.3b	(+.f64 (cos.f64 eps) -1)

rewrite174.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`*-un-lft-identity_binary64_1442`
8×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464`
6×	`add-cube-cbrt_binary64_1477` `cbrt-prod_binary64_1473`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3-+_binary64_1445` `flip-+_binary64_1416` `cbrt-div_binary64_1474`
2×	`sum-log_binary64_1533` `difference-of-sqr--1_binary64_1413` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `pow1/3_binary64_1524`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3274 to 1459 computations (55.4% saved)

series2.1s (17.4%)

Error

0.1b

Counts

4 → 32

Calls

4 calls:

1.1s	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))))
871.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
45.0ms	(+.f64 (cos.f64 eps) -1)
43.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 5092 to 2850 computations (44% saved)

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

362×	`cancel-sign-sub-inv_binary64_1408`
341×	`distribute-rgt-in_binary64_1392`
298×	`distribute-lft-in_binary64_1391`
185×	`distribute-rgt-neg-in_binary64_1400`
165×	`distribute-lft-neg-in_binary64_1399`
163×	`times-frac_binary64_1448`
162×	`div-sub_binary64_1447`
151×	`associate-/l*_binary64_1387`
139×	`associate-r_binary64_1382`
135×	`unswap-sqr_binary64_1410`
124×	`cube-prod_binary64_1470`
114×	`sub-neg_binary64_1435`
113×	`associate-l_binary64_1383`
102×	`*-commutative_binary64_1373`
86×	`sqr-pow_binary64_1414` `distribute-lft-neg-out_binary64_1401`
82×	`distribute-rgt-neg-out_binary64_1402`
74×	`neg-sub0_binary64_1437`
71×	`neg-mul-1_binary64_1438`
67×	`distribute-neg-in_binary64_1403`
59×	`+-commutative_binary64_1372`
41×	`distribute-neg-frac_binary64_1406` `associate-/r/_binary64_1388`
39×	`cube-div_binary64_1471`
32×	`unpow3_binary64_1508`
31×	`distribute-rgt-out_binary64_1395`
30×	`unsub-neg_binary64_1436`
29×	`distribute-rgt-out--_binary64_1396`
25×	`associate-*r/_binary64_1384` `associate--r+_binary64_1378`
23×	`log-prod_binary64_1528` `cube-mult_binary64_1472`
22×	`associate-+l+_binary64_1375`
21×	`exp-prod_binary64_1494`
20×	`associate--l+_binary64_1379`
16×	`associate-*l/_binary64_1385`
14×	`cube-neg_binary64_1469` `associate-+r+_binary64_1374`
13×	`rem-sqrt-square_binary64_1455` `distribute-lft-out--_binary64_1394`
12×	`unpow1/3_binary64_1509`
11×	`cube-unmult_binary64_1479` `remove-double-neg_binary64_1430` `associate-/r*_binary64_1386`
10×	`log-pow_binary64_1531` `swap-sqr_binary64_1409` `distribute-lft-out_binary64_1393`
9×	`sqr-neg_binary64_1456`
8×	`exp-sum_binary64_1488`
7×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500`
6×	`pow-plus_binary64_1505`
5×	`mul-1-neg_binary64_1434`
4×	`associate-/l/_binary64_1389`
3×	`pow-sqr_binary64_1415` `distribute-neg-out_binary64_1404` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
2×	`exp-to-pow_binary64_1504` `exp-diff_binary64_1490` `rem-exp-log_binary64_1482` `rem-3cbrt-lft_binary64_1467` `*-rgt-identity_binary64_1432` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411`
1×	`hang-0p-tan_binary64_1563` `sub-1-cos_binary64_1541` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `*-lft-identity_binary64_1431` `div0_binary64_1423` `cancel-sign-sub_binary64_1407` `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` `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` `-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` `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` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `/-rgt-identity_binary64_1433` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

84 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	2561
1	553	2485
2	1681	2354
3	4679	2229
4	5279	2229

prune192.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	68	13	81

Error

0.1b

Counts

81 → 13

Compiler

Compiled 4017 to 1792 computations (55.4% saved)

regimes1.1s (9.3%)

Accuracy

Total 0.3b remaining (85.4%)

Threshold costs 0.3b (85.4%)

Compiler

Compiled 11695 to 6646 computations (43.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_1373 +-commutative_binary64_1372

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 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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	16	21
2	16	21

end0.0ms (0%)

sample5.1s (42.2%)

Algorithm

1×

intervals

Results

1.1s	3463×	body	1024	valid
642.0ms	1184×	body	2048	valid
309.0ms	1440×	body	512	valid
82.0ms	1309×	body	128	valid
80.0ms	601×	body	256	valid
3.0ms	3×	body	4096	valid

Compiler

Compiled 3897 to 2226 computations (42.9% saved)

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

Details

analyze151.0ms (1.2%)

sample86.0ms (0.7%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite44.0ms (0.4%)

series187.0ms (1.5%)

simplify96.0ms (0.8%)

prune44.0ms (0.4%)

localize11.0ms (0.1%)

rewrite113.0ms (0.9%)

series776.0ms (6.4%)

simplify121.0ms (1%)

prune105.0ms (0.9%)

localize16.0ms (0.1%)

rewrite149.0ms (1.2%)

series1.1s (8.7%)

simplify115.0ms (1%)

prune172.0ms (1.4%)

localize24.0ms (0.2%)

rewrite174.0ms (1.4%)

series2.1s (17.4%)

simplify113.0ms (0.9%)

prune192.0ms (1.6%)

regimes1.1s (9.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.1s (42.2%)

Profiling

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11