Details

analyze235.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

801×	`associate-/l*_binary64_1387`
548×	`unswap-sqr_binary64_1410`
536×	`div-sub_binary64_1447`
451×	`associate-/r*_binary64_1386`
284×	`cancel-sign-sub-inv_binary64_1408`
275×	`associate-/r/_binary64_1388`
263×	`associate-/l/_binary64_1389`
198×	`associate-l_binary64_1383`
182×	`distribute-rgt-neg-in_binary64_1400`
167×	`distribute-rgt-in_binary64_1392`
145×	`associate-r_binary64_1382`
133×	`unsub-neg_binary64_1436` `distribute-lft-neg-in_binary64_1399`
126×	`neg-sub0_binary64_1437`
124×	`neg-mul-1_binary64_1438`
101×	`*-commutative_binary64_1373`
98×	`cube-prod_binary64_1470`
89×	`distribute-lft-in_binary64_1391`
68×	`distribute-rgt-neg-out_binary64_1402`
66×	`associate-*r/_binary64_1384`
61×	`distribute-lft-neg-out_binary64_1401`
57×	`sub-neg_binary64_1435`
54×	`exp-prod_binary64_1494`
46×	`associate-*l/_binary64_1385`
41×	`sqr-pow_binary64_1414`
40×	`associate--r+_binary64_1378`
37×	`distribute-neg-in_binary64_1403`
30×	`pow-plus_binary64_1505`
27×	`unpow3_binary64_1508`
23×	`exp-sum_binary64_1488`
20×	`*-lft-identity_binary64_1431` `swap-sqr_binary64_1409`
19×	`distribute-neg-frac_binary64_1406`
18×	`remove-double-neg_binary64_1430` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `+-commutative_binary64_1372`
17×	`pow-sqr_binary64_1415`
16×	`associate--l+_binary64_1379`
15×	`exp-sqrt_binary64_1495` `associate--r-_binary64_1381`
14×	`cube-mult_binary64_1472`
13×	`prod-exp_binary64_1491`
12×	`cube-unmult_binary64_1479` `associate-+l-_binary64_1377`
11×	`exp-diff_binary64_1490` `*-rgt-identity_binary64_1432`
7×	`exp-lft-sqr_binary64_1497`
6×	`sub0-neg_binary64_1429`
4×	`unpow2_binary64_1507` `rec-exp_binary64_1492` `associate--l-_binary64_1380` `associate-+l+_binary64_1375` `associate-+r+_binary64_1374`
3×	`distribute-rgt-out--_binary64_1396`
2×	`cube-neg_binary64_1469` `/-rgt-identity_binary64_1433` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `remove-double-div_binary64_1418` `associate-+r-_binary64_1376`
1×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `exp-neg_binary64_1489` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `+-rgt-identity_binary64_1427`
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` `div-exp_binary64_1493` `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-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` `mul-1-neg_binary64_1434` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out_binary64_1395` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `count-2_binary64_1390`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	35	13
3	57	13
4	102	13
5	198	13
6	389	13
7	738	13
8	1255	13
9	3975	13
10	4882	13
11	4992	13
12	4809	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample95.0ms (1.5%)

Algorithm

1×

intervals

Results

68.0ms	134×	body	2048	valid
14.0ms	65×	body	1024	valid
3.0ms	28×	body	512	valid
1.0ms	14×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

801×	`associate-/l*_binary64_1387`
548×	`unswap-sqr_binary64_1410`
536×	`div-sub_binary64_1447`
451×	`associate-/r*_binary64_1386`
284×	`cancel-sign-sub-inv_binary64_1408`
275×	`associate-/r/_binary64_1388`
263×	`associate-/l/_binary64_1389`
198×	`associate-l_binary64_1383`
182×	`distribute-rgt-neg-in_binary64_1400`
167×	`distribute-rgt-in_binary64_1392`
145×	`associate-r_binary64_1382`
133×	`unsub-neg_binary64_1436` `distribute-lft-neg-in_binary64_1399`
126×	`neg-sub0_binary64_1437`
124×	`neg-mul-1_binary64_1438`
101×	`*-commutative_binary64_1373`
98×	`cube-prod_binary64_1470`
89×	`distribute-lft-in_binary64_1391`
68×	`distribute-rgt-neg-out_binary64_1402`
66×	`associate-*r/_binary64_1384`
61×	`distribute-lft-neg-out_binary64_1401`
57×	`sub-neg_binary64_1435`
54×	`exp-prod_binary64_1494`
46×	`associate-*l/_binary64_1385`
41×	`sqr-pow_binary64_1414`
40×	`associate--r+_binary64_1378`
37×	`distribute-neg-in_binary64_1403`
30×	`pow-plus_binary64_1505`
27×	`unpow3_binary64_1508`
23×	`exp-sum_binary64_1488`
20×	`*-lft-identity_binary64_1431` `swap-sqr_binary64_1409`
19×	`distribute-neg-frac_binary64_1406`
18×	`remove-double-neg_binary64_1430` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `+-commutative_binary64_1372`
17×	`pow-sqr_binary64_1415`
16×	`associate--l+_binary64_1379`
15×	`exp-sqrt_binary64_1495` `associate--r-_binary64_1381`
14×	`cube-mult_binary64_1472`
13×	`prod-exp_binary64_1491`
12×	`cube-unmult_binary64_1479` `associate-+l-_binary64_1377`
11×	`exp-diff_binary64_1490` `*-rgt-identity_binary64_1432`
7×	`exp-lft-sqr_binary64_1497`
6×	`sub0-neg_binary64_1429`
4×	`unpow2_binary64_1507` `rec-exp_binary64_1492` `associate--l-_binary64_1380` `associate-+l+_binary64_1375` `associate-+r+_binary64_1374`
3×	`distribute-rgt-out--_binary64_1396`
2×	`cube-neg_binary64_1469` `/-rgt-identity_binary64_1433` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `remove-double-div_binary64_1418` `associate-+r-_binary64_1376`
1×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `exp-neg_binary64_1489` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `+-rgt-identity_binary64_1427`
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` `div-exp_binary64_1493` `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-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` `mul-1-neg_binary64_1434` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out_binary64_1395` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `count-2_binary64_1390`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	35	13
3	57	13
4	102	13
5	198	13
6	389	13
7	738	13
8	1255	13
9	3975	13
10	4882	13
11	4992	13
12	4809	13

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

28.8b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
4.6b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite65.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

28.6b

Rules

11×	`*-un-lft-identity_binary64_1442`
9×	`add-log-exp_binary64_1481`
6×	`add-sqr-sqrt_binary64_1464` `cancel-sign-sub-inv_binary64_1408`
4×	`add-cube-cbrt_binary64_1477` `frac-add_binary64_1450` `associate-+l+_binary64_1375`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`diff-log_binary64_1534` `sum-log_binary64_1533` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `neg-sub0_binary64_1437` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `distribute-lft-out_binary64_1393` `distribute-lft-out--_binary64_1394` `sub-neg_binary64_1435`
1×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l-_binary64_1377` `+-commutative_binary64_1372` `difference-of-squares_binary64_1411`

Counts

2 → 39

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 663 to 349 computations (47.4% saved)

series81.0ms (1.3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

45.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
21.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 283 to 221 computations (21.9% saved)

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

904×	`times-frac_binary64_1448`
613×	`associate-+r+_binary64_1374`
319×	`*-commutative_binary64_1373`
214×	`unsub-neg_binary64_1436`
199×	`+-commutative_binary64_1372`
172×	`distribute-rgt-in_binary64_1392`
162×	`distribute-lft-in_binary64_1391`
149×	`div-sub_binary64_1447`
145×	`distribute-rgt-out_binary64_1395`
112×	`associate-l_binary64_1383`
108×	`associate-r_binary64_1382`
106×	`unswap-sqr_binary64_1410`
103×	`cancel-sign-sub-inv_binary64_1408`
102×	`exp-prod_binary64_1494`
97×	`distribute-lft-out_binary64_1393`
90×	`associate-+l+_binary64_1375`
82×	`sub-neg_binary64_1435`
68×	`neg-mul-1_binary64_1438`
67×	`neg-sub0_binary64_1437`
61×	`exp-sum_binary64_1488`
60×	`associate-/l*_binary64_1387`
54×	`associate-*l/_binary64_1385`
51×	`associate--r+_binary64_1378`
50×	`associate-+l-_binary64_1377`
46×	`associate-/r*_binary64_1386`
44×	`associate--l+_binary64_1379`
42×	`associate-*r/_binary64_1384`
41×	`sqr-pow_binary64_1414`
37×	`cube-prod_binary64_1470`
31×	`distribute-rgt-neg-in_binary64_1400`
29×	`distribute-neg-in_binary64_1403`
28×	`exp-diff_binary64_1490`
27×	`distribute-lft-neg-out_binary64_1401`
26×	`distribute-lft-neg-in_binary64_1399`
25×	`associate-+r-_binary64_1376`
23×	`*-rgt-identity_binary64_1432`
22×	`log-prod_binary64_1528` `distribute-rgt-neg-out_binary64_1402`
20×	`*-lft-identity_binary64_1431`
19×	`pow-plus_binary64_1505`
16×	`prod-exp_binary64_1491` `cube-unmult_binary64_1479`
14×	`distribute-rgt1-in_binary64_1398`
12×	`associate--r-_binary64_1381`
11×	`distribute-rgt-out--_binary64_1396`
9×	`unpow3_binary64_1508` `sub0-neg_binary64_1429` `pow-sqr_binary64_1415`
8×	`div-exp_binary64_1493` `distribute-neg-frac_binary64_1406` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394`
7×	`+-rgt-identity_binary64_1427`
6×	`log-div_binary64_1529` `swap-sqr_binary64_1409`
5×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
4×	`rec-exp_binary64_1492` `exp-neg_binary64_1489` `cube-mult_binary64_1472` `difference-of-squares_binary64_1411`
3×	`rem-sqrt-square_binary64_1455` `difference-of-sqr-1_binary64_1412` `distribute-neg-out_binary64_1404` `count-2_binary64_1390`
2×	`cube-neg_binary64_1469` `sqr-neg_binary64_1456` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428`
1×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `exp-lft-sqr_binary64_1497` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-div_binary64_1471` `rem-3cbrt-lft_binary64_1467` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `rgt-mult-inverse_binary64_1419` `difference-of-sqr--1_binary64_1413` `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` `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` `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-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `+-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` `remove-double-div_binary64_1418` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405`

Counts

51 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	810
1	251	764
2	599	744
3	1684	726
4	3254	726
5	4959	726
6	4844	726

prune43.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Error

0.0b

Counts

37 → 3

Compiler

Compiled 553 to 293 computations (47% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/20160 (pow.f64 x 8))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite173.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_1464`
21×	`associate-r_binary64_1382`
19×	`add-exp-log_binary64_1480`
13×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`unpow-prod-down_binary64_1521`
10×	`add-cbrt-cube_binary64_1478`
9×	`prod-exp_binary64_1491` `unswap-sqr_binary64_1410` `associate-l_binary64_1383`
6×	`add-log-exp_binary64_1481` `sqr-pow_binary64_1414`
4×	`pow1_binary64_1503`
3×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`
1×	`sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

4 → 86

Calls

4 calls:

6.0ms	(*.f64 1/12 (pow.f64 x 4))
5.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(*.f64 1/20160 (pow.f64 x 8))
5.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))

Compiler

Compiled 2418 to 1807 computations (25.3% saved)

series324.0ms (5.2%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

149.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
58.0ms	(*.f64 1/20160 (pow.f64 x 8))
54.0ms	(*.f64 1/360 (pow.f64 x 6))
47.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 846 to 656 computations (22.5% saved)

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

405×	`*-commutative_binary64_1373`
388×	`unswap-sqr_binary64_1410`
372×	`cancel-sign-sub-inv_binary64_1408`
298×	`log-prod_binary64_1528`
219×	`sqr-pow_binary64_1414`
177×	`distribute-rgt-neg-in_binary64_1400`
174×	`distribute-rgt-in_binary64_1392`
173×	`exp-prod_binary64_1494`
165×	`distribute-lft-neg-in_binary64_1399`
149×	`distribute-lft-in_binary64_1391` `associate-+l+_binary64_1375`
148×	`cube-prod_binary64_1470`
143×	`associate-+r+_binary64_1374`
114×	`associate-l_binary64_1383`
106×	`associate-r_binary64_1382`
102×	`times-frac_binary64_1448`
83×	`associate-/l*_binary64_1387`
82×	`sub-neg_binary64_1435`
70×	`pow-sqr_binary64_1415`
68×	`neg-mul-1_binary64_1438`
66×	`log-pow_binary64_1531` `swap-sqr_binary64_1409` `distribute-rgt-out_binary64_1395`
64×	`neg-sub0_binary64_1437`
47×	`rem-sqrt-square_binary64_1455`
42×	`unsub-neg_binary64_1436`
37×	`associate-/r*_binary64_1386`
36×	`+-commutative_binary64_1372`
31×	`unpow3_binary64_1508`
30×	`difference-of-squares_binary64_1411`
22×	`pow-plus_binary64_1505`
20×	`cube-mult_binary64_1472` `distribute-rgt-out--_binary64_1396`
18×	`cube-unmult_binary64_1479`
16×	`associate-/l/_binary64_1389` `associate-*r/_binary64_1384`
15×	`associate-+l-_binary64_1377`
13×	`distribute-lft-neg-out_binary64_1401` `associate-/r/_binary64_1388`
12×	`sub0-neg_binary64_1429`
11×	`distribute-lft-out_binary64_1393` `associate-+r-_binary64_1376`
9×	`distribute-neg-in_binary64_1403`
7×	`+-rgt-identity_binary64_1427`
5×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
4×	`unpow2_binary64_1507` `exp-sum_binary64_1488` `count-2_binary64_1390` `associate--r+_binary64_1378`
3×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `distribute-rgt-neg-out_binary64_1402`
2×	`rem-cbrt-cube_binary64_1466` `distribute-lft-out--_binary64_1394`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `rem-cube-cbrt_binary64_1465` `rem-square-sqrt_binary64_1454` `*-rgt-identity_binary64_1432` `remove-double-neg_binary64_1430` `associate--l+_binary64_1379`
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` `div-exp_binary64_1493` `rec-exp_binary64_1492` `exp-diff_binary64_1490` `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-3cbrt-lft_binary64_1467` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-lft-identity_binary64_1431` `--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` `associate-*l/_binary64_1385` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

101 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	158	1213
1	324	1156
2	805	1097
3	1427	1095
4	3403	1092
5	4959	1092
6	4952	1092

prune81.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Error

0.0b

Counts

53 → 3

Compiler

Compiled 1294 to 947 computations (26.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 (exp.f64 x) 2) 3)
0.1b	(pow.f64 (exp.f64 x) -2)
0.1b	(pow.f64 (exp.f64 x) -3)
3.4b	(+.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 3) (pow.f64 (exp.f64 x) -3))

rewrite196.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`*-un-lft-identity_binary64_1442`
17×	`add-sqr-sqrt_binary64_1464`
13×	`add-cube-cbrt_binary64_1477`
11×	`unpow-prod-down_binary64_1521`
9×	`pow-unpow_binary64_1519` `pow-pow_binary64_1514`
7×	`pow1_binary64_1503`
6×	`add-log-exp_binary64_1481` `exp-prod_binary64_1494`
5×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `cube-prod_binary64_1470`
3×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `sqr-pow_binary64_1414`
2×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `cube-div_binary64_1471`
1×	`sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `unpow3_binary64_1508` `cube-mult_binary64_1472` `flip3--_binary64_1446` `flip--_binary64_1417` `rem-cube-cbrt_binary64_1465`

Counts

4 → 81

Calls

4 calls:

14.0ms	(+.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 3) (pow.f64 (exp.f64 x) -3))
6.0ms	(pow.f64 (-.f64 (exp.f64 x) 2) 3)
3.0ms	(pow.f64 (exp.f64 x) -2)
3.0ms	(pow.f64 (exp.f64 x) -3)

Compiler

Compiled 2995 to 1796 computations (40% saved)

series464.0ms (7.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

211.0ms	(+.f64 (pow.f64 (-.f64 (exp.f64 x) 2) 3) (pow.f64 (exp.f64 x) -3))
79.0ms	(pow.f64 (exp.f64 x) -3)
76.0ms	(pow.f64 (-.f64 (exp.f64 x) 2) 3)
60.0ms	(pow.f64 (exp.f64 x) -2)

Compiler

Compiled 1904 to 1308 computations (31.3% saved)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

362×	`distribute-rgt-in_binary64_1392`
355×	`unswap-sqr_binary64_1410`
336×	`distribute-lft-in_binary64_1391`
317×	`cancel-sign-sub-inv_binary64_1408`
188×	`exp-prod_binary64_1494`
179×	`log-prod_binary64_1528`
121×	`sqr-pow_binary64_1414`
116×	`distribute-rgt-neg-in_binary64_1400`
104×	`distribute-lft-neg-in_binary64_1399`
86×	`sub-neg_binary64_1435`
72×	`associate--l+_binary64_1379`
70×	`associate-r_binary64_1382`
68×	`associate-l_binary64_1383`
56×	`unpow3_binary64_1508`
55×	`associate--r+_binary64_1378`
53×	`cube-prod_binary64_1470` `+-commutative_binary64_1372`
45×	`distribute-rgt-out_binary64_1395`
42×	`associate-+l-_binary64_1377`
40×	`log-pow_binary64_1531`
33×	`*-commutative_binary64_1373`
30×	`neg-sub0_binary64_1437`
29×	`neg-mul-1_binary64_1438`
28×	`associate-*r/_binary64_1384`
27×	`swap-sqr_binary64_1409` `distribute-neg-in_binary64_1403`
26×	`pow-plus_binary64_1505`
24×	`pow-sqr_binary64_1415` `distribute-lft-out_binary64_1393`
23×	`log-div_binary64_1529`
21×	`difference-of-squares_binary64_1411`
19×	`associate-*l/_binary64_1385`
18×	`distribute-rgt-out--_binary64_1396`
17×	`unsub-neg_binary64_1436` `associate-/r*_binary64_1386`
16×	`cube-mult_binary64_1472`
14×	`associate-+l+_binary64_1375`
13×	`rem-sqrt-square_binary64_1455`
12×	`distribute-lft-neg-out_binary64_1401` `distribute-lft-out--_binary64_1394`
11×	`cube-unmult_binary64_1479` `associate-/l/_binary64_1389`
8×	`associate-/l*_binary64_1387`
7×	`exp-sum_binary64_1488` `times-frac_binary64_1448`
6×	`count-2_binary64_1390` `associate-+r+_binary64_1374`
5×	`rec-exp_binary64_1492`
4×	`log-rec_binary64_1530` `unpow-1_binary64_1499` `prod-exp_binary64_1491`
3×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `div-exp_binary64_1493` `distribute-rgt-neg-out_binary64_1402` `distribute-rgt1-in_binary64_1398` `associate-/r/_binary64_1388`
2×	`unpow2_binary64_1507` `exp-to-pow_binary64_1504` `cube-div_binary64_1471` `associate--l-_binary64_1380`
1×	`exp-lft-sqr_binary64_1497` `exp-diff_binary64_1490` `1-exp_binary64_1486` `rem-log-exp_binary64_1483` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `rem-square-sqrt_binary64_1454` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `distribute-lft1-in_binary64_1397` `associate-+r-_binary64_1376`
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` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `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` `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` `associate--r-_binary64_1381`

Counts

105 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	1446
1	456	1367
2	1279	1295
3	4617	1292
4	5006	1292

prune112.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Error

0.0b

Counts

68 → 3

Compiler

Compiled 2241 to 1324 computations (40.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 x)) -2)
4.2b	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
4×	`sum-log_binary64_1533` `distribute-lft-out_binary64_1393`
2×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`
1×	`associate-+r+_binary64_1374`

Counts

2 → 27

Calls

2 calls:

8.0ms	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
5.0ms	(+.f64 (exp.f64 (neg.f64 x)) -2)

Compiler

Compiled 418 to 203 computations (51.4% saved)

series77.0ms (1.2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

45.0ms	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
24.0ms	(+.f64 (exp.f64 (neg.f64 x)) -2)

Compiler

Compiled 280 to 224 computations (20% saved)

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

598×	`times-frac_binary64_1448`
531×	`unswap-sqr_binary64_1410`
460×	`sub-neg_binary64_1435`
316×	`*-commutative_binary64_1373`
248×	`+-commutative_binary64_1372`
236×	`cancel-sign-sub-inv_binary64_1408`
224×	`distribute-rgt-in_binary64_1392`
194×	`distribute-lft-in_binary64_1391`
138×	`associate--l+_binary64_1379`
131×	`distribute-rgt-out_binary64_1395`
117×	`associate-+l-_binary64_1377`
113×	`associate--r+_binary64_1378`
111×	`associate-l_binary64_1383`
108×	`associate-r_binary64_1382`
93×	`associate-+l+_binary64_1375`
92×	`sqr-pow_binary64_1414`
86×	`distribute-lft-out_binary64_1393`
83×	`exp-prod_binary64_1494`
80×	`neg-mul-1_binary64_1438`
78×	`unsub-neg_binary64_1436`
77×	`neg-sub0_binary64_1437`
73×	`associate-+r+_binary64_1374`
68×	`distribute-rgt-neg-in_binary64_1400`
65×	`associate-+r-_binary64_1376`
59×	`distribute-neg-in_binary64_1403`
57×	`distribute-lft-neg-in_binary64_1399`
49×	`div-sub_binary64_1447`
48×	`sub0-neg_binary64_1429` `associate-/l*_binary64_1387`
40×	`associate-*l/_binary64_1385`
39×	`associate-/r*_binary64_1386`
34×	`associate-*r/_binary64_1384`
32×	`cube-prod_binary64_1470`
31×	`+-rgt-identity_binary64_1427`
30×	`exp-sum_binary64_1488`
29×	`difference-of-squares_binary64_1411`
26×	`distribute-rgt-out--_binary64_1396`
23×	`distribute-lft-neg-out_binary64_1401`
21×	`*-lft-identity_binary64_1431`
20×	`*-rgt-identity_binary64_1432` `pow-sqr_binary64_1415`
18×	`exp-diff_binary64_1490`
17×	`associate--l-_binary64_1380`
16×	`pow-plus_binary64_1505` `cube-unmult_binary64_1479`
14×	`distribute-lft-out--_binary64_1394`
13×	`prod-exp_binary64_1491`
12×	`distribute-rgt-neg-out_binary64_1402`
10×	`difference-of-sqr-1_binary64_1412` `distribute-rgt1-in_binary64_1398`
9×	`unpow3_binary64_1508` `/-rgt-identity_binary64_1433`
7×	`remove-double-neg_binary64_1430` `distribute-neg-frac_binary64_1406`
6×	`distribute-lft1-in_binary64_1397`
5×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate--r-_binary64_1381`
4×	`log-prod_binary64_1528` `div-exp_binary64_1493` `rec-exp_binary64_1492` `cube-mult_binary64_1472` `--rgt-identity_binary64_1428` `swap-sqr_binary64_1409`
3×	`distribute-neg-out_binary64_1404` `count-2_binary64_1390`
2×	`exp-neg_binary64_1489` `rem-sqrt-square_binary64_1455`
1×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `exp-lft-sqr_binary64_1497` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-div_binary64_1471` `cube-neg_binary64_1469` `sqr-neg_binary64_1456` `mul0-lft_binary64_1424` `div0_binary64_1423` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `difference-of-sqr--1_binary64_1413`
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-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `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` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `*-inverses_binary64_1422` `remove-double-div_binary64_1418` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405`

Counts

39 → 29

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	615
1	225	576
2	582	574
3	1803	571
4	3238	570
5	5222	570

prune24.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	29	3	32

Error

0.0b

Counts

32 → 3

Compiler

Compiled 399 to 200 computations (49.9% saved)

regimes133.0ms (2.2%)

Accuracy

Total 0.5b remaining (97.9%)

Threshold costs 0.5b (97.9%)

Compiler

Compiled 1448 to 1029 computations (28.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3× *-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	19	31
1	25	31
2	25	31

end0.0ms (0%)

sample3.5s (56.9%)

Algorithm

1×

intervals

Results

2.1s	4191×	body	2048	valid
430.0ms	1975×	body	1024	valid
114.0ms	1014×	body	512	valid
42.0ms	480×	body	256	valid
12.0ms	340×	body	128	valid

Compiler

Compiled 703 to 505 computations (28.2% saved)

Details

analyze235.0ms (3.8%)

sample95.0ms (1.5%)

simplify96.0ms (1.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite65.0ms (1%)

series81.0ms (1.3%)

simplify96.0ms (1.6%)

prune43.0ms (0.7%)

localize13.0ms (0.2%)

rewrite173.0ms (2.8%)

series324.0ms (5.2%)

simplify115.0ms (1.9%)

prune81.0ms (1.3%)

localize15.0ms (0.2%)

rewrite196.0ms (3.2%)

series464.0ms (7.5%)

simplify94.0ms (1.5%)

prune112.0ms (1.8%)

localize6.0ms (0.1%)

rewrite42.0ms (0.7%)

series77.0ms (1.2%)

simplify70.0ms (1.1%)

prune24.0ms (0.4%)

regimes133.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.5s (56.9%)

Profiling