Details

analyze334.0ms (15.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

5114×	`associate--r-_binary64_1381`
794×	`unsub-neg_binary64_1436`
347×	`distribute-neg-in_binary64_1403`
329×	`sub-neg_binary64_1435`
313×	`distribute-rgt-in_binary64_1392`
236×	`+-commutative_binary64_1372`
229×	`distribute-lft-in_binary64_1391`
144×	`associate-+r-_binary64_1376`
126×	`distribute-neg-out_binary64_1404`
113×	`neg-sub0_binary64_1437`
104×	`cancel-sign-sub-inv_binary64_1408` `associate--l+_binary64_1379`
96×	`distribute-lft-neg-out_binary64_1401`
88×	`neg-mul-1_binary64_1438`
79×	`*-rgt-identity_binary64_1432`
78×	`*-lft-identity_binary64_1431`
69×	`associate-+l-_binary64_1377` `*-commutative_binary64_1373`
65×	`distribute-rgt-neg-in_binary64_1400`
61×	`distribute-rgt-out--_binary64_1396`
56×	`associate-+r+_binary64_1374`
54×	`distribute-lft-neg-in_binary64_1399`
52×	`associate--l-_binary64_1380`
47×	`associate--r+_binary64_1378`
36×	`distribute-lft-out_binary64_1393`
25×	`distribute-rgt-neg-out_binary64_1402`
24×	`associate-+l+_binary64_1375`
22×	`cancel-sign-sub_binary64_1407` `distribute-rgt-out_binary64_1395`
18×	`associate-l_binary64_1383`
16×	`--rgt-identity_binary64_1428`
15×	`remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `associate-r_binary64_1382`
14×	`sub0-neg_binary64_1429`
13×	`mul-1-neg_binary64_1434`
12×	`distribute-lft-out--_binary64_1394`
8×	`log-prod_binary64_1528`
7×	`+-lft-identity_binary64_1426`
4×	`distribute-lft1-in_binary64_1397`
2×	`distribute-rgt1-in_binary64_1398` `count-2_binary64_1390`
1×	`1-exp_binary64_1486`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `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` `/-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` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-*r/_binary64_1384`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
2	12	10
3	18	10
4	24	10
5	39	10
6	62	10
7	80	10
8	143	10
9	415	10
10	1140	10
11	1800	10
12	1961	10
13	2256	10
14	2365	10
15	2400	10
16	2407	10
17	2423	10
18	2429	10
19	2431	10
20	2431	10
21	2431	10
22	2431	10
23	4965	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
25%	25%	50%	3
25%	12.5%	62.5%	4
25%	6.2%	68.8%	5
25%	3.1%	71.9%	6
25%	1.6%	73.5%	7
25%	0.8%	74.2%	8
25%	0.4%	74.6%	9
25%	0.2%	74.8%	10
25%	0.1%	74.9%	11
25%	0%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify188.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

5114×	`associate--r-_binary64_1381`
794×	`unsub-neg_binary64_1436`
347×	`distribute-neg-in_binary64_1403`
329×	`sub-neg_binary64_1435`
313×	`distribute-rgt-in_binary64_1392`
236×	`+-commutative_binary64_1372`
229×	`distribute-lft-in_binary64_1391`
144×	`associate-+r-_binary64_1376`
126×	`distribute-neg-out_binary64_1404`
113×	`neg-sub0_binary64_1437`
104×	`cancel-sign-sub-inv_binary64_1408` `associate--l+_binary64_1379`
96×	`distribute-lft-neg-out_binary64_1401`
88×	`neg-mul-1_binary64_1438`
79×	`*-rgt-identity_binary64_1432`
78×	`*-lft-identity_binary64_1431`
69×	`associate-+l-_binary64_1377` `*-commutative_binary64_1373`
65×	`distribute-rgt-neg-in_binary64_1400`
61×	`distribute-rgt-out--_binary64_1396`
56×	`associate-+r+_binary64_1374`
54×	`distribute-lft-neg-in_binary64_1399`
52×	`associate--l-_binary64_1380`
47×	`associate--r+_binary64_1378`
36×	`distribute-lft-out_binary64_1393`
25×	`distribute-rgt-neg-out_binary64_1402`
24×	`associate-+l+_binary64_1375`
22×	`cancel-sign-sub_binary64_1407` `distribute-rgt-out_binary64_1395`
18×	`associate-l_binary64_1383`
16×	`--rgt-identity_binary64_1428`
15×	`remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `associate-r_binary64_1382`
14×	`sub0-neg_binary64_1429`
13×	`mul-1-neg_binary64_1434`
12×	`distribute-lft-out--_binary64_1394`
8×	`log-prod_binary64_1528`
7×	`+-lft-identity_binary64_1426`
4×	`distribute-lft1-in_binary64_1397`
2×	`distribute-rgt1-in_binary64_1398` `count-2_binary64_1390`
1×	`1-exp_binary64_1486`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `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` `/-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` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-*r/_binary64_1384`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
2	12	10
3	18	10
4	24	10
5	39	10
6	62	10
7	80	10
8	143	10
9	415	10
10	1140	10
11	1800	10
12	1961	10
13	2256	10
14	2365	10
15	2400	10
16	2407	10
17	2423	10
18	2429	10
19	2431	10
20	2431	10
21	2431	10
22	2431	10
23	4965	10

prune2.0ms (0.1%)

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

0.3b

Counts

1 → 1

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite35.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`log-prod_binary64_1528`
10×	`pow1_binary64_1503` `*-un-lft-identity_binary64_1442`
8×	`add-sqr-sqrt_binary64_1464` `log-pow_binary64_1531`
6×	`add-cube-cbrt_binary64_1477`
4×	`cancel-sign-sub-inv_binary64_1408` `distribute-lft-out--_binary64_1394` `associate--r+_binary64_1378`
3×	`add-exp-log_binary64_1480` `associate--l+_binary64_1379`
2×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
1×	`diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `rem-log-exp_binary64_1483`

Counts

2 → 40

Calls

2 calls:

6.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms	(log.f64 (log.f64 x))

Compiler

Compiled 468 to 131 computations (72% saved)

series459.0ms (21.1%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

262.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
192.0ms	(log.f64 (log.f64 x))

Compiler

Compiled 183 to 149 computations (18.6% saved)

simplify81.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

886×	`div-sub_binary64_1447`
540×	`unsub-neg_binary64_1436`
476×	`sub-neg_binary64_1435`
291×	`associate-+l+_binary64_1375`
273×	`exp-diff_binary64_1490`
271×	`exp-sum_binary64_1488`
219×	`neg-sub0_binary64_1437`
192×	`neg-mul-1_binary64_1438`
186×	`*-commutative_binary64_1373`
162×	`associate--r+_binary64_1378`
152×	`distribute-rgt-neg-out_binary64_1402`
151×	`associate--l+_binary64_1379`
148×	`associate--r-_binary64_1381`
137×	`times-frac_binary64_1448`
127×	`distribute-lft-neg-out_binary64_1401`
114×	`cancel-sign-sub-inv_binary64_1408`
110×	`associate-+l-_binary64_1377`
107×	`associate-+r-_binary64_1376`
106×	`associate--l-_binary64_1380`
103×	`log-prod_binary64_1528` `exp-prod_binary64_1494`
98×	`+-commutative_binary64_1372`
92×	`associate-r_binary64_1382`
90×	`associate-l_binary64_1383`
76×	`distribute-neg-out_binary64_1404`
75×	`sqr-pow_binary64_1414`
61×	`distribute-rgt-in_binary64_1392`
59×	`remove-double-neg_binary64_1430`
57×	`distribute-lft-in_binary64_1391`
49×	`log-div_binary64_1529`
46×	`cube-prod_binary64_1470` `distribute-neg-in_binary64_1403`
36×	`distribute-rgt-out_binary64_1395`
33×	`difference-of-squares_binary64_1411`
31×	`distribute-lft-out_binary64_1393`
29×	`sub0-neg_binary64_1429`
26×	`distribute-lft-neg-in_binary64_1399`
24×	`log-pow_binary64_1531` `distribute-rgt-neg-in_binary64_1400` `associate-+r+_binary64_1374`
21×	`+-rgt-identity_binary64_1427`
18×	`pow-sqr_binary64_1415` `unswap-sqr_binary64_1410`
17×	`exp-to-pow_binary64_1504`
15×	`--rgt-identity_binary64_1428`
14×	`swap-sqr_binary64_1409`
13×	`cube-unmult_binary64_1479` `mul-1-neg_binary64_1434` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `associate-/r*_binary64_1386`
12×	`unpow3_binary64_1508`
11×	`sqr-neg_binary64_1456`
10×	`prod-exp_binary64_1491` `rem-sqrt-square_binary64_1455` `count-2_binary64_1390`
8×	`pow-plus_binary64_1505`
7×	`*-lft-identity_binary64_1431`
6×	`cube-mult_binary64_1472` `cube-neg_binary64_1469` `cancel-sign-sub_binary64_1407`
5×	`rem-exp-log_binary64_1482`
4×	`div-exp_binary64_1493` `rem-log-exp_binary64_1483` `cube-div_binary64_1471` `associate-/r/_binary64_1388` `associate-/l*_binary64_1387`
3×	`rec-exp_binary64_1492` `associate-/l/_binary64_1389`
2×	`log-rec_binary64_1530` `unpow1/2_binary64_1506` `*-rgt-identity_binary64_1432` `+-lft-identity_binary64_1426` `distribute-rgt-out--_binary64_1396`
1×	`log-E_binary64_1532` `unpow2_binary64_1507` `exp-neg_binary64_1489` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `rem-square-sqrt_binary64_1454` `+-inverses_binary64_1421` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397`
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` `unpow1/3_binary64_1509` `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` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `/-rgt-identity_binary64_1433` `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-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-lft-out--_binary64_1394` `associate-l/_binary64_1385` `associate-*r/_binary64_1384`

Counts

46 → 19

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	70	540
1	146	496
2	267	496
3	1141	494
4	2781	490
5	4063	484
6	5070	484

prune13.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Error

Counts

20 → 2

Compiler

Compiled 184 to 52 computations (71.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 x (log.f64 x))

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`times-frac_binary64_1448`
10×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
5×	`pow1_binary64_1503`
4×	`log-pow_binary64_1531` `associate-/r*_binary64_1386`
3×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/l*_binary64_1387`
1×	`div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 x (log.f64 x))

Compiler

Compiled 351 to 130 computations (63% saved)

series164.0ms (7.6%)

Error

Counts

1 → 3

Calls

1 calls:

162.0ms

(/.f64 x (log.f64 x))

Compiler

Compiled 72 to 61 computations (15.3% saved)

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

765×	`sub-neg_binary64_1435`
656×	`div-sub_binary64_1447`
354×	`unsub-neg_binary64_1436`
329×	`neg-mul-1_binary64_1438`
295×	`neg-sub0_binary64_1437`
279×	`distribute-frac-neg_binary64_1405`
231×	`associate--l-_binary64_1380`
227×	`distribute-rgt-neg-out_binary64_1402`
178×	`associate-/l/_binary64_1389`
172×	`times-frac_binary64_1448`
167×	`associate--r-_binary64_1381`
147×	`associate-/l*_binary64_1387`
122×	`distribute-lft-neg-out_binary64_1401`
104×	`associate-/r*_binary64_1386`
96×	`log-div_binary64_1529`
95×	`cube-div_binary64_1471` `associate-/r/_binary64_1388`
87×	`cube-prod_binary64_1470`
83×	`log-prod_binary64_1528`
67×	`associate-*l/_binary64_1385`
54×	`associate-*r/_binary64_1384`
51×	`associate-l_binary64_1383`
50×	`cancel-sign-sub-inv_binary64_1408`
46×	`exp-prod_binary64_1494`
39×	`distribute-neg-in_binary64_1403`
37×	`associate-r_binary64_1382`
33×	`distribute-neg-frac_binary64_1406`
29×	`distribute-rgt-neg-in_binary64_1400`
28×	`distribute-lft-neg-in_binary64_1399` `*-commutative_binary64_1373`
27×	`distribute-rgt-in_binary64_1392`
24×	`sqr-pow_binary64_1414`
22×	`distribute-lft-in_binary64_1391`
19×	`*-lft-identity_binary64_1431` `distribute-rgt-out_binary64_1395` `associate--r+_binary64_1378` `associate-+r-_binary64_1376`
18×	`cube-neg_binary64_1469` `*-rgt-identity_binary64_1432`
17×	`unpow3_binary64_1508` `div0_binary64_1423` `associate-+r+_binary64_1374`
15×	`cube-mult_binary64_1472` `swap-sqr_binary64_1409`
14×	`associate--l+_binary64_1379`
13×	`mul-1-neg_binary64_1434` `distribute-lft-out_binary64_1393`
12×	`exp-sum_binary64_1488` `sqr-neg_binary64_1456` `associate-+l-_binary64_1377`
11×	`+-commutative_binary64_1372`
10×	`log-rec_binary64_1530` `exp-diff_binary64_1490` `/-rgt-identity_binary64_1433` `associate-+l+_binary64_1375`
9×	`distribute-rgt-out--_binary64_1396`
7×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
6×	`count-2_binary64_1390`
5×	`cube-unmult_binary64_1479`
4×	`sub0-neg_binary64_1429` `+-rgt-identity_binary64_1427`
3×	`exp-neg_binary64_1489` `remove-double-neg_binary64_1430`
2×	`--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `unswap-sqr_binary64_1410` `distribute-neg-out_binary64_1404`
1×	`unpow1/2_binary64_1506` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `+-inverses_binary64_1421` `remove-double-div_binary64_1418` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397`
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` `unpow2_binary64_1507` `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` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `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-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `pow-sqr_binary64_1415` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-lft-out--_binary64_1394`

Counts

34 → 13

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	406
1	103	380
2	211	380
3	408	380
4	1564	380
5	3531	380
6	5262	380

prune8.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	2	15

Error

Counts

15 → 2

Compiler

Compiled 99 to 29 computations (70.7% saved)

regimes30.0ms (1.4%)

Accuracy

Total 0.0b remaining (87.5%)

Threshold costs 0.0b (87.5%)

Compiler

Compiled 66 to 50 computations (24.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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 *-commutative_binary64_1373 +-commutative_binary64_1372

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end0.0ms (0%)

sample739.0ms (34.1%)

Algorithm

1×

intervals

Results

486.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 28 to 22 computations (21.4% saved)

Details

analyze334.0ms (15.4%)

sample17.0ms (0.8%)

simplify188.0ms (8.7%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite35.0ms (1.6%)

series459.0ms (21.1%)

simplify81.0ms (3.7%)

prune13.0ms (0.6%)

localize5.0ms (0.2%)

rewrite27.0ms (1.2%)

series164.0ms (7.6%)

simplify63.0ms (2.9%)

prune8.0ms (0.4%)

regimes30.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample739.0ms (34.1%)

Profiling