Details

analyze433.0ms (11.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

2074×	`distribute-lft-out--_binary64_1394`
788×	`distribute-rgt-out--_binary64_1396`
756×	`unsub-neg_binary64_1436`
614×	`sub-neg_binary64_1435`
581×	`distribute-rgt-out_binary64_1395`
576×	`+-commutative_binary64_1372`
502×	`distribute-neg-in_binary64_1403`
416×	`distribute-rgt-in_binary64_1392`
367×	`distribute-lft-out_binary64_1393`
340×	`distribute-rgt1-in_binary64_1398`
241×	`neg-sub0_binary64_1437`
202×	`neg-mul-1_binary64_1438`
193×	`distribute-rgt-neg-in_binary64_1400` `distribute-lft-in_binary64_1391`
163×	`*-commutative_binary64_1373`
155×	`distribute-lft-neg-out_binary64_1401`
141×	`associate--r+_binary64_1378`
140×	`distribute-lft-neg-in_binary64_1399`
119×	`associate-+r+_binary64_1374`
112×	`distribute-neg-out_binary64_1404`
101×	`associate--l+_binary64_1379`
98×	`associate-+l+_binary64_1375`
97×	`associate-+l-_binary64_1377`
93×	`associate-+r-_binary64_1376`
91×	`associate--r-_binary64_1381`
88×	`associate-l_binary64_1383`
84×	`*-rgt-identity_binary64_1432`
81×	`cancel-sign-sub-inv_binary64_1408` `associate-r_binary64_1382`
78×	`distribute-rgt-neg-out_binary64_1402`
70×	`associate--l-_binary64_1380`
50×	`remove-double-neg_binary64_1430`
40×	`distribute-lft1-in_binary64_1397`
35×	`*-lft-identity_binary64_1431`
20×	`cancel-sign-sub_binary64_1407`
17×	`associate-/r*_binary64_1386`
10×	`sub0-neg_binary64_1429`
7×	`mul-1-neg_binary64_1434` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `swap-sqr_binary64_1409`
4×	`sqr-neg_binary64_1456` `--rgt-identity_binary64_1428`
3×	`+-rgt-identity_binary64_1427`
2×	`/-rgt-identity_binary64_1433` `associate-/l/_binary64_1389`
1×	`1-exp_binary64_1486` `+-lft-identity_binary64_1426` `difference-of-sqr-1_binary64_1412`
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` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `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-squares_binary64_1411` `unswap-sqr_binary64_1410` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `count-2_binary64_1390` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-l/_binary64_1385` `associate-r/_binary64_1384`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	31	20
4	45	20
5	60	20
6	96	20
7	213	20
8	364	20
9	486	20
10	1099	20
11	1877	20
12	1931	20
13	2167	20
14	2315	20
15	2313	20
16	2390	20
17	2649	20
18	3212	20
19	4204	20
20	4738	20
21	4780	20
22	4791	20
23	4788	20
24	4573	20
25	4366	20
26	4503	20
27	4563	20
28	4606	20
29	7544	20
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify300.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

2074×	`distribute-lft-out--_binary64_1394`
788×	`distribute-rgt-out--_binary64_1396`
756×	`unsub-neg_binary64_1436`
614×	`sub-neg_binary64_1435`
581×	`distribute-rgt-out_binary64_1395`
576×	`+-commutative_binary64_1372`
502×	`distribute-neg-in_binary64_1403`
416×	`distribute-rgt-in_binary64_1392`
367×	`distribute-lft-out_binary64_1393`
340×	`distribute-rgt1-in_binary64_1398`
241×	`neg-sub0_binary64_1437`
202×	`neg-mul-1_binary64_1438`
193×	`distribute-rgt-neg-in_binary64_1400` `distribute-lft-in_binary64_1391`
163×	`*-commutative_binary64_1373`
155×	`distribute-lft-neg-out_binary64_1401`
141×	`associate--r+_binary64_1378`
140×	`distribute-lft-neg-in_binary64_1399`
119×	`associate-+r+_binary64_1374`
112×	`distribute-neg-out_binary64_1404`
101×	`associate--l+_binary64_1379`
98×	`associate-+l+_binary64_1375`
97×	`associate-+l-_binary64_1377`
93×	`associate-+r-_binary64_1376`
91×	`associate--r-_binary64_1381`
88×	`associate-l_binary64_1383`
84×	`*-rgt-identity_binary64_1432`
81×	`cancel-sign-sub-inv_binary64_1408` `associate-r_binary64_1382`
78×	`distribute-rgt-neg-out_binary64_1402`
70×	`associate--l-_binary64_1380`
50×	`remove-double-neg_binary64_1430`
40×	`distribute-lft1-in_binary64_1397`
35×	`*-lft-identity_binary64_1431`
20×	`cancel-sign-sub_binary64_1407`
17×	`associate-/r*_binary64_1386`
10×	`sub0-neg_binary64_1429`
7×	`mul-1-neg_binary64_1434` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `swap-sqr_binary64_1409`
4×	`sqr-neg_binary64_1456` `--rgt-identity_binary64_1428`
3×	`+-rgt-identity_binary64_1427`
2×	`/-rgt-identity_binary64_1433` `associate-/l/_binary64_1389`
1×	`1-exp_binary64_1486` `+-lft-identity_binary64_1426` `difference-of-sqr-1_binary64_1412`
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` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `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-squares_binary64_1411` `unswap-sqr_binary64_1410` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `count-2_binary64_1390` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-l/_binary64_1385` `associate-r/_binary64_1384`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	31	20
4	45	20
5	60	20
6	96	20
7	213	20
8	364	20
9	486	20
10	1099	20
11	1877	20
12	1931	20
13	2167	20
14	2315	20
15	2313	20
16	2390	20
17	2649	20
18	3212	20
19	4204	20
20	4738	20
21	4780	20
22	4791	20
23	4788	20
24	4573	20
25	4366	20
26	4503	20
27	4563	20
28	4606	20
29	7544	20

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

0.3b

Counts

1 → 1

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.2b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

rewrite126.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`*-un-lft-identity_binary64_1442`
26×	`times-frac_binary64_1448`
17×	`add-sqr-sqrt_binary64_1464`
16×	`distribute-lft-out_binary64_1393`
15×	`log-prod_binary64_1528`
12×	`div-inv_binary64_1439`
11×	`add-cube-cbrt_binary64_1477`
6×	`distribute-rgt-out_binary64_1395` `sqrt-prod_binary64_1458`
4×	`add-log-exp_binary64_1481`
3×	`pow1_binary64_1503` `log-div_binary64_1529` `add-exp-log_binary64_1480`
2×	`frac-add_binary64_1450` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-rgt1-in_binary64_1398` `add-cbrt-cube_binary64_1478`
1×	`log-pow_binary64_1531` `rem-log-exp_binary64_1483` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

2 → 51

Calls

2 calls:

26.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
23.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 1149 to 742 computations (35.4% saved)

series149.0ms (3.8%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

80.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
53.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

Compiler

Compiled 281 to 251 computations (10.7% saved)

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

590×	`cancel-sign-sub-inv_binary64_1408`
519×	`associate-/l*_binary64_1387`
258×	`distribute-rgt-in_binary64_1392`
250×	`div-sub_binary64_1447`
219×	`distribute-rgt-neg-in_binary64_1400`
213×	`associate-/l/_binary64_1389`
204×	`sub-neg_binary64_1435`
177×	`distribute-lft-neg-in_binary64_1399`
171×	`distribute-lft-in_binary64_1391`
161×	`distribute-rgt-out_binary64_1395`
138×	`associate-r_binary64_1382`
129×	`associate-l_binary64_1383`
128×	`times-frac_binary64_1448`
115×	`associate-/r/_binary64_1388`
91×	`distribute-neg-in_binary64_1403`
82×	`associate-/r*_binary64_1386`
81×	`log-prod_binary64_1528`
68×	`associate-+l+_binary64_1375`
67×	`associate--r+_binary64_1378`
60×	`cube-div_binary64_1471` `distribute-lft-out_binary64_1393`
58×	`unswap-sqr_binary64_1410`
56×	`*-commutative_binary64_1373`
53×	`neg-sub0_binary64_1437`
52×	`neg-mul-1_binary64_1438`
51×	`unsub-neg_binary64_1436`
47×	`+-commutative_binary64_1372`
45×	`cube-prod_binary64_1470` `distribute-neg-frac_binary64_1406` `associate-+r+_binary64_1374`
42×	`associate-*l/_binary64_1385`
40×	`distribute-rgt-out--_binary64_1396`
39×	`log-div_binary64_1529` `sqr-pow_binary64_1414`
36×	`associate-*r/_binary64_1384`
31×	`associate-+r-_binary64_1376`
25×	`associate-+l-_binary64_1377`
20×	`swap-sqr_binary64_1409`
18×	`exp-prod_binary64_1494` `associate--l+_binary64_1379`
17×	`unpow3_binary64_1508` `distribute-lft-neg-out_binary64_1401` `distribute-rgt1-in_binary64_1398`
16×	`sub0-neg_binary64_1429`
15×	`cube-unmult_binary64_1479` `+-rgt-identity_binary64_1427`
11×	`/-rgt-identity_binary64_1433`
10×	`pow-plus_binary64_1505` `cube-mult_binary64_1472` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `associate--l-_binary64_1380`
9×	`log-rec_binary64_1530`
8×	`exp-sum_binary64_1488`
6×	`log-pow_binary64_1531` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390`
4×	`prod-exp_binary64_1491` `distribute-frac-neg_binary64_1405` `distribute-rgt-neg-out_binary64_1402`
3×	`unpow1/2_binary64_1506` `distribute-neg-out_binary64_1404`
2×	`rec-exp_binary64_1492` `rem-sqrt-square_binary64_1455` `difference-of-squares_binary64_1411` `distribute-lft1-in_binary64_1397`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-exp-log_binary64_1482` `rem-square-sqrt_binary64_1454` `div0_binary64_1423` `+-inverses_binary64_1421` `pow-sqr_binary64_1415` `difference-of-sqr-1_binary64_1412`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `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` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `cancel-sign-sub_binary64_1407` `associate--r-_binary64_1381`

Counts

63 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1564
1	262	1455
2	629	1415
3	1970	1300
4	4640	1300
5	5148	1300

prune57.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Compiler

Compiled 902 to 593 computations (34.3% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
0.2b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
0.3b	(/.f64 1 (sqrt.f64 x))
0.3b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))

rewrite530.0ms (13.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

148×	`*-un-lft-identity_binary64_1442`
134×	`times-frac_binary64_1448`
127×	`sqrt-prod_binary64_1458`
109×	`add-sqr-sqrt_binary64_1464`
70×	`add-cube-cbrt_binary64_1477`
42×	`distribute-lft-out_binary64_1393`
32×	`log-prod_binary64_1528`
26×	`associate-+r+_binary64_1374`
16×	`div-inv_binary64_1439`
14×	`difference-of-squares_binary64_1411`
12×	`associate-/r*_binary64_1386`
11×	`pow1_binary64_1503` `associate-/l*_binary64_1387`
10×	`add-exp-log_binary64_1480`
8×	`add-cbrt-cube_binary64_1478` `distribute-rgt-out_binary64_1395`
7×	`add-log-exp_binary64_1481`
6×	`distribute-neg-in_binary64_1403` `associate-+l+_binary64_1375`
5×	`log-pow_binary64_1531`
4×	`distribute-rgt-neg-in_binary64_1400`
3×	`div-exp_binary64_1493` `pow-flip_binary64_1516` `sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `log-div_binary64_1529` `associate-+r-_binary64_1376`
2×	`cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `sqrt-div_binary64_1459` `associate-/l/_binary64_1389` `frac-add_binary64_1450` `distribute-rgt1-in_binary64_1398` `+-commutative_binary64_1372`
1×	`sqrt-undiv_binary64_1463` `flip3--_binary64_1446` `flip--_binary64_1417` `inv-pow_binary64_1527` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `1-exp_binary64_1486` `rec-exp_binary64_1492` `neg-log_binary64_1535` `neg-sub0_binary64_1437` `associate-+l-_binary64_1377`

Counts

4 → 211

Calls

4 calls:

69.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
58.0ms	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
8.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))
5.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 6294 to 3110 computations (50.6% saved)

series153.0ms (3.9%)

Error

Counts

4 → 12

Calls

4 calls:

71.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
30.0ms	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
27.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))
16.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 570 to 425 computations (25.4% saved)

simplify220.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

448×	`unsub-neg_binary64_1436`
353×	`distribute-rgt-in_binary64_1392`
302×	`distribute-lft-in_binary64_1391`
261×	`associate-+l+_binary64_1375`
216×	`times-frac_binary64_1448`
174×	`associate--r+_binary64_1378`
171×	`associate-+r-_binary64_1376`
159×	`associate-l_binary64_1383`
146×	`associate-/l*_binary64_1387`
144×	`associate-r_binary64_1382`
129×	`associate-+l-_binary64_1377`
127×	`associate-/r*_binary64_1386`
115×	`sub-neg_binary64_1435`
105×	`neg-sub0_binary64_1437`
101×	`associate--l+_binary64_1379`
94×	`cancel-sign-sub-inv_binary64_1408`
91×	`neg-mul-1_binary64_1438`
86×	`log-div_binary64_1529`
84×	`associate-/l/_binary64_1389`
81×	`associate-*l/_binary64_1385`
77×	`div-sub_binary64_1447`
75×	`associate-/r/_binary64_1388`
74×	`exp-sum_binary64_1488`
61×	`associate-*r/_binary64_1384` `associate--r-_binary64_1381`
59×	`log-prod_binary64_1528`
50×	`+-commutative_binary64_1372`
47×	`distribute-rgt-neg-in_binary64_1400`
45×	`exp-diff_binary64_1490`
42×	`associate-+r+_binary64_1374`
39×	`associate--l-_binary64_1380`
36×	`distribute-rgt-neg-out_binary64_1402`
35×	`distribute-lft-neg-out_binary64_1401` `*-commutative_binary64_1373`
32×	`distribute-rgt-out_binary64_1395`
29×	`exp-prod_binary64_1494` `cube-prod_binary64_1470` `distribute-neg-in_binary64_1403` `distribute-lft-neg-in_binary64_1399`
28×	`distribute-neg-frac_binary64_1406`
22×	`sqr-pow_binary64_1414`
20×	`prod-exp_binary64_1491`
19×	`cube-div_binary64_1471`
17×	`distribute-neg-out_binary64_1404`
16×	`log-pow_binary64_1531` `*-rgt-identity_binary64_1432` `distribute-rgt-out--_binary64_1396`
15×	`div-exp_binary64_1493` `distribute-lft-out_binary64_1393`
14×	`log-rec_binary64_1530` `sub0-neg_binary64_1429`
13×	`*-lft-identity_binary64_1431`
12×	`/-rgt-identity_binary64_1433`
11×	`+-rgt-identity_binary64_1427`
10×	`distribute-rgt1-in_binary64_1398`
9×	`cube-unmult_binary64_1479`
8×	`exp-to-pow_binary64_1504` `swap-sqr_binary64_1409` `distribute-lft-out--_binary64_1394`
7×	`unpow3_binary64_1508`
6×	`pow-plus_binary64_1505` `rem-sqrt-square_binary64_1455` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
5×	`cube-mult_binary64_1472` `difference-of-squares_binary64_1411` `count-2_binary64_1390`
4×	`rem-exp-log_binary64_1482`
3×	`cube-neg_binary64_1469`
2×	`sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `pow-sqr_binary64_1415` `unswap-sqr_binary64_1410`
1×	`log-E_binary64_1532` `rec-exp_binary64_1492` `exp-neg_binary64_1489` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-log-exp_binary64_1483` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `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` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `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-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `div0_binary64_1423` `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`

Counts

223 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	5048
1	491	4674
2	1342	4547
3	4371	4517
4	4973	4517
5	4940	4517

prune218.0ms (5.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	154	2	156

Error

Counts

156 → 2

Compiler

Compiled 3965 to 1962 computations (50.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
0.0b	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.2b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))

rewrite134.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`*-un-lft-identity_binary64_1442`
30×	`add-sqr-sqrt_binary64_1464` `times-frac_binary64_1448`
22×	`add-cube-cbrt_binary64_1477`
19×	`log-prod_binary64_1528`
16×	`distribute-lft-out_binary64_1393`
8×	`sqrt-prod_binary64_1458` `add-exp-log_binary64_1480`
5×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `associate-/l*_binary64_1387`
4×	`pow1_binary64_1503`
3×	`associate-/r*_binary64_1386`
2×	`div-inv_binary64_1439` `div-exp_binary64_1493` `rem-log-exp_binary64_1483` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/l/_binary64_1389`
1×	`log-pow_binary64_1531` `log-div_binary64_1529` `sum-log_binary64_1533` `+-commutative_binary64_1372` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441`

Counts

3 → 80

Calls

3 calls:

10.0ms	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
9.0ms	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
6.0ms	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 1709 to 1124 computations (34.2% saved)

series159.0ms (4.1%)

Error

Counts

3 → 18

Calls

3 calls:

75.0ms	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
40.0ms	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
30.0ms	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 435 to 381 computations (12.4% saved)

simplify126.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

650×	`distribute-rgt-in_binary64_1392`
358×	`sub-neg_binary64_1435`
221×	`distribute-rgt-neg-in_binary64_1400`
189×	`distribute-lft-neg-in_binary64_1399`
162×	`associate-r_binary64_1382`
151×	`associate-l_binary64_1383`
121×	`cancel-sign-sub-inv_binary64_1408`
118×	`times-frac_binary64_1448`
109×	`distribute-rgt-out_binary64_1395`
97×	`unsub-neg_binary64_1436`
96×	`associate-/l*_binary64_1387`
93×	`log-div_binary64_1529`
90×	`distribute-neg-in_binary64_1403`
88×	`associate-+l+_binary64_1375`
86×	`distribute-lft-in_binary64_1391`
85×	`*-commutative_binary64_1373`
84×	`distribute-lft-out_binary64_1393`
78×	`prod-exp_binary64_1491`
74×	`associate--r+_binary64_1378` `+-commutative_binary64_1372`
71×	`neg-sub0_binary64_1437`
69×	`neg-mul-1_binary64_1438` `unswap-sqr_binary64_1410`
68×	`cancel-sign-sub_binary64_1407`
63×	`distribute-lft-neg-out_binary64_1401` `associate-+l-_binary64_1377`
62×	`associate-/r*_binary64_1386`
61×	`distribute-rgt-neg-out_binary64_1402`
59×	`log-prod_binary64_1528`
56×	`associate--l-_binary64_1380` `associate-+r+_binary64_1374`
55×	`associate-+r-_binary64_1376`
51×	`div-exp_binary64_1493`
47×	`associate--l+_binary64_1379`
37×	`sqr-pow_binary64_1414`
36×	`associate-/l/_binary64_1389`
32×	`div-sub_binary64_1447` `distribute-rgt-out--_binary64_1396`
27×	`exp-prod_binary64_1494`
25×	`swap-sqr_binary64_1409` `associate-*l/_binary64_1385`
21×	`cube-prod_binary64_1470` `sub0-neg_binary64_1429` `associate-*r/_binary64_1384`
19×	`*-lft-identity_binary64_1431` `+-rgt-identity_binary64_1427`
18×	`associate-/r/_binary64_1388`
17×	`*-rgt-identity_binary64_1432`
14×	`rec-exp_binary64_1492` `/-rgt-identity_binary64_1433`
13×	`unpow3_binary64_1508` `exp-sum_binary64_1488` `distribute-rgt1-in_binary64_1398`
12×	`log-rec_binary64_1530` `exp-diff_binary64_1490`
11×	`pow-plus_binary64_1505` `distribute-neg-out_binary64_1404`
10×	`cube-unmult_binary64_1479` `distribute-lft-out--_binary64_1394`
8×	`distribute-lft1-in_binary64_1397`
7×	`cube-div_binary64_1471`
6×	`count-2_binary64_1390`
5×	`log-pow_binary64_1531` `rem-exp-log_binary64_1482` `distribute-frac-neg_binary64_1405`
4×	`remove-double-neg_binary64_1430` `remove-double-div_binary64_1418`
3×	`unpow1/2_binary64_1506` `cube-mult_binary64_1472` `pow-sqr_binary64_1415`
2×	`exp-to-pow_binary64_1504` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `difference-of-sqr--1_binary64_1413` `associate--r-_binary64_1381`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `+-inverses_binary64_1421` `difference-of-sqr-1_binary64_1412` `distribute-neg-frac_binary64_1406`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `div0_binary64_1423` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `difference-of-squares_binary64_1411`

Counts

98 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	2270
1	346	2121
2	837	2070
3	2600	2064
4	4804	2064
5	4950	2064

prune49.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 797 to 532 computations (33.2% saved)

regimes124.0ms (3.2%)

Accuracy

Total 0.2b remaining (99.9%)

Threshold costs 0.2b (99.9%)

Compiler

Compiled 913 to 712 computations (22% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_1372`
3×	`sub-neg_binary64_1435`
2×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `*-commutative_binary64_1373`
1×	`1-exp_binary64_1486` `cancel-sign-sub-inv_binary64_1408` `distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `unpow1_binary64_1500` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `unsub-neg_binary64_1436` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403` `distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-in_binary64_1399`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	20	22
2	26	22
3	30	22
4	32	22
5	31	22

end0.0ms (0%)

sample950.0ms (24.5%)

Algorithm

1×

intervals

Results

419.0ms	8000×	body	128	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 315 to 248 computations (21.3% saved)

Details

analyze433.0ms (11.2%)

sample25.0ms (0.6%)

simplify300.0ms (7.7%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite126.0ms (3.2%)

series149.0ms (3.8%)

simplify94.0ms (2.4%)

prune57.0ms (1.5%)

localize16.0ms (0.4%)

rewrite530.0ms (13.6%)

series153.0ms (3.9%)

simplify220.0ms (5.7%)

prune218.0ms (5.6%)

localize8.0ms (0.2%)

rewrite134.0ms (3.5%)

series159.0ms (4.1%)

simplify126.0ms (3.2%)

prune49.0ms (1.3%)

regimes124.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample950.0ms (24.5%)

Profiling