Details

analyze269.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

736×	`unswap-sqr_binary64_1410`
587×	`associate-l_binary64_1383`
463×	`associate-r_binary64_1382`
376×	`distribute-rgt-out_binary64_1395`
262×	`distribute-rgt-in_binary64_1392`
254×	`distribute-lft-out_binary64_1393` `distribute-lft-in_binary64_1391`
141×	`*-commutative_binary64_1373`
106×	`cube-prod_binary64_1470`
90×	`neg-sub0_binary64_1437`
88×	`associate-/l/_binary64_1389`
80×	`cancel-sign-sub-inv_binary64_1408`
62×	`neg-mul-1_binary64_1438` `associate-/l*_binary64_1387`
56×	`exp-prod_binary64_1494`
50×	`sqr-pow_binary64_1414`
44×	`associate-*r/_binary64_1384`
42×	`unpow3_binary64_1508` `*-lft-identity_binary64_1431`
38×	`*-rgt-identity_binary64_1432`
36×	`associate-+l+_binary64_1375` `associate-+r+_binary64_1374`
32×	`unsub-neg_binary64_1436` `associate-/r/_binary64_1388`
30×	`pow-plus_binary64_1505` `pow-sqr_binary64_1415`
28×	`mul-1-neg_binary64_1434`
26×	`cube-mult_binary64_1472`
22×	`distribute-rgt-neg-in_binary64_1400`
20×	`cube-unmult_binary64_1479`
18×	`sub-neg_binary64_1435`
15×	`+-commutative_binary64_1372`
14×	`prod-exp_binary64_1491`
12×	`exp-lft-sqr_binary64_1497` `distribute-lft-neg-in_binary64_1399` `associate-*l/_binary64_1385`
10×	`exp-sqrt_binary64_1495` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `associate-/r*_binary64_1386`
8×	`distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-out_binary64_1401`
6×	`rem-sqrt-square_binary64_1455`
4×	`unpow2_binary64_1507` `/-rgt-identity_binary64_1433` `distribute-neg-in_binary64_1403` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397`
2×	`unpow1_binary64_1500` `remove-double-div_binary64_1418` `swap-sqr_binary64_1409` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `swap-a-x`
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` `unpow1/2_binary64_1506` `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` `rec-exp_binary64_1492` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `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` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `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` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	17	18
2	25	18
3	41	18
4	87	18
5	207	18
6	588	18
7	2255	18
8	4867	18
9	4797	18
10	5024	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Symmetry

(sort a x)

Compiler

Compiled 7 to 7 computations (0% saved)

sample46.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms	49×	body	2048	valid
8.0ms	53×	body	1024	valid
3.0ms	37×	body	512	valid
2.0ms	93×	body	128	valid
1.0ms	24×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

467×	`cancel-sign-sub-inv_binary64_1408`
455×	`*-commutative_binary64_1373`
440×	`unswap-sqr_binary64_1410`
344×	`associate-l_binary64_1383`
274×	`associate-+l+_binary64_1375`
273×	`associate-r_binary64_1382`
266×	`associate-+r+_binary64_1374`
201×	`associate-/l/_binary64_1389`
192×	`distribute-rgt-out_binary64_1395`
153×	`distribute-rgt-in_binary64_1392`
149×	`distribute-lft-in_binary64_1391`
138×	`associate-/r/_binary64_1388`
135×	`unsub-neg_binary64_1436` `difference-of-squares_binary64_1411`
131×	`distribute-lft-out_binary64_1393`
112×	`associate-/l*_binary64_1387`
89×	`associate-*r/_binary64_1384`
81×	`times-frac_binary64_1448`
68×	`sqr-pow_binary64_1414`
64×	`+-commutative_binary64_1372`
62×	`sub-neg_binary64_1435`
47×	`associate-*l/_binary64_1385`
46×	`neg-sub0_binary64_1437`
44×	`associate-/r*_binary64_1386`
39×	`exp-prod_binary64_1494`
36×	`pow-sqr_binary64_1415`
34×	`cube-prod_binary64_1470`
31×	`*-lft-identity_binary64_1431`
28×	`neg-mul-1_binary64_1438` `difference-of-sqr--1_binary64_1413`
27×	`*-rgt-identity_binary64_1432`
19×	`unpow3_binary64_1508` `pow-plus_binary64_1505` `associate--r+_binary64_1378`
18×	`mul-1-neg_binary64_1434`
14×	`associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
13×	`difference-of-sqr-1_binary64_1412`
12×	`cube-unmult_binary64_1479`
11×	`distribute-rgt-neg-in_binary64_1400`
10×	`exp-sqrt_binary64_1495`
6×	`distribute-lft-neg-in_binary64_1399`
5×	`exp-lft-sqr_binary64_1497` `sub0-neg_binary64_1429` `+-rgt-identity_binary64_1427`
4×	`/-rgt-identity_binary64_1433` `swap-sqr_binary64_1409` `distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-out_binary64_1401`
3×	`unpow2_binary64_1507` `remove-double-div_binary64_1418`
2×	`cube-mult_binary64_1472` `distribute-neg-in_binary64_1403` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397`
1×	`unpow1_binary64_1500` `prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485`
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` `unpow1/2_binary64_1506` `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` `rec-exp_binary64_1492` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `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` `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` `div-sub_binary64_1447` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-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` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	15	9
2	22	9
3	33	9
4	65	9
5	149	9
6	403	9
7	1433	9
8	3314	9
9	4997	9
10	4875	9

prune1.0ms (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

29.7b

Counts

1 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
5.3b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

7×	`add-sqr-sqrt_binary64_1464`
6×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
3×	`add-cube-cbrt_binary64_1477` `cancel-sign-sub-inv_binary64_1408`
2×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `difference-of-squares_binary64_1411`
1×	`diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394` `exp-to-pow_binary64_1504` `exp-prod_binary64_1494` `rem-exp-log_binary64_1482`

Counts

2 → 28

Calls

2 calls:

5.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 346 to 156 computations (54.9% saved)

series126.0ms (2.4%)

Error

0.3b

Counts

2 → 24

Calls

2 calls:

65.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
39.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 648 to 510 computations (21.3% saved)

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

418×	`*-commutative_binary64_1373`
330×	`cancel-sign-sub-inv_binary64_1408`
326×	`unswap-sqr_binary64_1410`
306×	`associate-+l+_binary64_1375`
227×	`distribute-rgt-out_binary64_1395`
221×	`sqr-pow_binary64_1414`
212×	`associate-+r+_binary64_1374`
196×	`associate-l_binary64_1383`
194×	`distribute-rgt-in_binary64_1392`
191×	`distribute-lft-in_binary64_1391`
186×	`associate-r_binary64_1382`
151×	`exp-prod_binary64_1494`
146×	`distribute-lft-out_binary64_1393`
104×	`sub-neg_binary64_1435`
90×	`difference-of-squares_binary64_1411`
84×	`exp-sum_binary64_1488`
72×	`cube-prod_binary64_1470` `pow-sqr_binary64_1415`
60×	`unsub-neg_binary64_1436`
56×	`log-prod_binary64_1528`
55×	`+-commutative_binary64_1372`
48×	`associate-/l*_binary64_1387`
42×	`count-2_binary64_1390`
38×	`log-pow_binary64_1531`
35×	`neg-sub0_binary64_1437`
34×	`swap-sqr_binary64_1409`
27×	`unpow3_binary64_1508`
26×	`exp-to-pow_binary64_1504` `associate--r+_binary64_1378`
25×	`difference-of-sqr--1_binary64_1413`
24×	`cube-div_binary64_1471` `neg-mul-1_binary64_1438`
23×	`pow-plus_binary64_1505`
22×	`difference-of-sqr-1_binary64_1412`
19×	`associate-/l/_binary64_1389`
18×	`rem-sqrt-square_binary64_1455` `associate-/r*_binary64_1386`
17×	`cube-mult_binary64_1472`
16×	`cube-unmult_binary64_1479` `distribute-rgt-neg-in_binary64_1400` `distribute-rgt1-in_binary64_1398`
15×	`associate-*r/_binary64_1384`
14×	`times-frac_binary64_1448` `distribute-neg-in_binary64_1403` `distribute-lft-neg-in_binary64_1399` `associate-+l-_binary64_1377`
13×	`associate-/r/_binary64_1388`
12×	`mul-1-neg_binary64_1434` `associate-+r-_binary64_1376`
10×	`sub0-neg_binary64_1429` `distribute-lft1-in_binary64_1397`
9×	`*-rgt-identity_binary64_1432`
8×	`-lft-identity_binary64_1431` `associate-l/_binary64_1385`
7×	`prod-exp_binary64_1491` `rem-log-exp_binary64_1483` `+-rgt-identity_binary64_1427` `distribute-lft-neg-out_binary64_1401`
6×	`exp-lft-sqr_binary64_1497` `remove-double-neg_binary64_1430`
5×	`exp-sqrt_binary64_1495` `distribute-rgt-neg-out_binary64_1402` `associate--l+_binary64_1379`
4×	`unpow1/2_binary64_1506` `rem-exp-log_binary64_1482`
3×	`unpow1_binary64_1500` `div-sub_binary64_1447` `distribute-neg-out_binary64_1404`
2×	`unpow2_binary64_1507` `exp-diff_binary64_1490` `/-rgt-identity_binary64_1433` `--rgt-identity_binary64_1428`
1×	`exp-lft-cube_binary64_1498` `div-exp_binary64_1493` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `rem-3cbrt-lft_binary64_1467` `sqr-neg_binary64_1456` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `associate--r-_binary64_1381`
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` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-cbrt_binary64_1496` `rec-exp_binary64_1492` `exp-neg_binary64_1489` `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` `rem-square-sqrt_binary64_1454` `+-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` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate--l-_binary64_1380`

Counts

52 → 23

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	731
1	152	706
2	365	676
3	1142	658
4	2745	652
5	3572	652
6	4917	652

prune25.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	19	4	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	5	24

Error

2.7b

Counts

24 → 5

Compiler

Compiled 391 to 202 computations (48.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 a (*.f64 x x)))
0.0b	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))
0.7b	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
7.4b	(.f64 a (.f64 x x))

rewrite105.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
11×	`add-sqr-sqrt_binary64_1464`
10×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
9×	`associate-l_binary64_1383`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`add-log-exp_binary64_1481`
5×	`associate-r_binary64_1382`
3×	`*-commutative_binary64_1373`
2×	`unswap-sqr_binary64_1410` `flip3-+_binary64_1445` `associate-*r/_binary64_1384` `flip-+_binary64_1416`
1×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 73

Calls

4 calls:

9.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
9.0ms	(.f64 1/2 (.f64 a (*.f64 x x)))
7.0ms	(.f64 a (.f64 x x))
4.0ms	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))

Compiler

Compiled 1386 to 582 computations (58% saved)

series575.0ms (10.8%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

213.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
152.0ms	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))
100.0ms	(.f64 1/2 (.f64 a (*.f64 x x)))
84.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 996 to 765 computations (23.2% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

394×	`*-commutative_binary64_1373`
392×	`unswap-sqr_binary64_1410`
252×	`associate-+l+_binary64_1375`
243×	`distribute-rgt-neg-in_binary64_1400`
227×	`associate-+r+_binary64_1374`
223×	`distribute-lft-neg-in_binary64_1399`
222×	`distribute-rgt-out_binary64_1395`
219×	`distribute-rgt-in_binary64_1392`
206×	`distribute-lft-in_binary64_1391`
193×	`associate-r_binary64_1382`
192×	`cancel-sign-sub-inv_binary64_1408`
176×	`associate-l_binary64_1383`
106×	`exp-prod_binary64_1494`
101×	`sqr-pow_binary64_1414`
96×	`distribute-lft-out_binary64_1393`
87×	`swap-sqr_binary64_1409`
65×	`distribute-rgt-out--_binary64_1396`
59×	`log-prod_binary64_1528`
49×	`cube-prod_binary64_1470`
41×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
36×	`sub-neg_binary64_1435`
33×	`associate-/l*_binary64_1387`
31×	`-rgt-identity_binary64_1432` `-lft-identity_binary64_1431`
28×	`+-commutative_binary64_1372`
17×	`distribute-rgt1-in_binary64_1398` `associate-/r*_binary64_1386`
16×	`pow-sqr_binary64_1415`
15×	`distribute-lft-neg-out_binary64_1401` `associate-+l-_binary64_1377`
13×	`associate-+r-_binary64_1376`
12×	`unsub-neg_binary64_1436`
11×	`unpow3_binary64_1508`
9×	`pow-plus_binary64_1505` `associate-/l/_binary64_1389` `associate-*r/_binary64_1384`
8×	`cube-mult_binary64_1472`
7×	`cube-unmult_binary64_1479` `distribute-rgt-neg-out_binary64_1402`
6×	`rem-sqrt-square_binary64_1455` `associate-/r/_binary64_1388`
5×	`unpow1/2_binary64_1506` `+-rgt-identity_binary64_1427`
4×	`log-pow_binary64_1531` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390` `associate--r+_binary64_1378`
3×	`sub0-neg_binary64_1429`
2×	`unpow2_binary64_1507` `unpow1_binary64_1500` `prod-exp_binary64_1491` `exp-sum_binary64_1488` `difference-of-squares_binary64_1411` `distribute-lft1-in_binary64_1397`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `distribute-neg-in_binary64_1403` `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-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` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `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-l/_binary64_1385` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

109 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1591
1	270	1432
2	975	1431
3	2288	1426
4	5023	1426

prune75.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Error

2.1b

Counts

91 → 7

Compiler

Compiled 1363 to 598 computations (56.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.9b	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 x (.f64 (.f64 a (.f64 x x)) 1/2)) (cbrt.f64 a)))
7.4b	(.f64 a (.f64 x x))

rewrite101.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

21×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
15×	`add-cbrt-cube_binary64_1478`
11×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
8×	`add-sqr-sqrt_binary64_1464`
7×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`cbrt-prod_binary64_1473`
4×	`add-log-exp_binary64_1481` `associate-l_binary64_1383`
2×	`associate-r_binary64_1382` `-commutative_binary64_1373` `associate-l/_binary64_1385` `associate-*r/_binary64_1384` `pow1/3_binary64_1524`
1×	`unswap-sqr_binary64_1410` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 65

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 x (.f64 (.f64 a (.f64 x x)) 1/2)) (cbrt.f64 a)))
6.0ms	(.f64 a (.f64 x x))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

Compiler

Compiled 1661 to 552 computations (66.8% saved)

series597.0ms (11.3%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

272.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 x (.f64 (.f64 a (.f64 x x)) 1/2)) (cbrt.f64 a)))
111.0ms	(cbrt.f64 a)
103.0ms	(cbrt.f64 a)
88.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 1057 to 724 computations (31.5% saved)

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Rules

521×	`*-commutative_binary64_1373`
406×	`distribute-rgt-neg-in_binary64_1400`
397×	`distribute-lft-in_binary64_1391`
396×	`distribute-rgt-in_binary64_1392`
260×	`log-prod_binary64_1528`
249×	`associate-l_binary64_1383`
225×	`associate-r_binary64_1382`
188×	`cancel-sign-sub-inv_binary64_1408`
187×	`unswap-sqr_binary64_1410`
164×	`distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-out_binary64_1401`
136×	`exp-prod_binary64_1494`
132×	`sqr-pow_binary64_1414`
124×	`cube-prod_binary64_1470`
113×	`distribute-lft-neg-in_binary64_1399`
83×	`neg-sub0_binary64_1437`
77×	`neg-mul-1_binary64_1438`
67×	`swap-sqr_binary64_1409`
30×	`exp-sum_binary64_1488`
29×	`sub-neg_binary64_1435` `associate-+r+_binary64_1374`
27×	`associate-+l+_binary64_1375`
23×	`pow-sqr_binary64_1415`
22×	`unpow3_binary64_1508`
19×	`pow-plus_binary64_1505`
18×	`cube-mult_binary64_1472` `unsub-neg_binary64_1436`
17×	`log-pow_binary64_1531`
16×	`+-commutative_binary64_1372`
13×	`cube-unmult_binary64_1479` `remove-double-neg_binary64_1430`
11×	`rem-sqrt-square_binary64_1455`
8×	`distribute-rgt-out_binary64_1395`
6×	`mul-1-neg_binary64_1434`
5×	`associate-/l*_binary64_1387`
4×	`+-rgt-identity_binary64_1427` `difference-of-squares_binary64_1411` `distribute-neg-in_binary64_1403` `distribute-rgt-out--_binary64_1396` `associate-+r-_binary64_1376`
3×	`exp-diff_binary64_1490` `cube-neg_binary64_1469` `div-sub_binary64_1447` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `count-2_binary64_1390` `associate-+l-_binary64_1377`
2×	`unpow1/3_binary64_1509` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `sqr-neg_binary64_1456` `associate--r+_binary64_1378`
1×	`1-exp_binary64_1486` `rem-3cbrt-lft_binary64_1467` `rem-cube-cbrt_binary64_1465` `*-rgt-identity_binary64_1432` `sub0-neg_binary64_1429` `distribute-rgt1-in_binary64_1398` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393`
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` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `/-rgt-identity_binary64_1433` `-lft-identity_binary64_1431` `--rgt-identity_binary64_1428` `+-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` `distribute-neg-frac_binary64_1406` `distribute-lft1-in_binary64_1397` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-*r/_binary64_1384` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379`

Counts

89 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1531
1	301	987
2	1167	969
3	3183	967
4	4955	967
5	5067	967

prune50.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	55	8	63

Error

0.2b

Counts

63 → 8

Compiler

Compiled 1041 to 426 computations (59.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 1/2 (*.f64 a a))) a)
0.0b	(.f64 1/2 (.f64 a a))
1.7b	(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
6.1b	(.f64 x (.f64 1/2 (*.f64 a a)))

rewrite114.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

20×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
11×	`add-sqr-sqrt_binary64_1464`
10×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
9×	`associate-l_binary64_1383`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`add-log-exp_binary64_1481`
5×	`associate-r_binary64_1382`
3×	`*-commutative_binary64_1373`
2×	`unswap-sqr_binary64_1410` `flip3-+_binary64_1445` `associate-*r/_binary64_1384` `flip-+_binary64_1416`
1×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 73

Calls

4 calls:

12.0ms	(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
10.0ms	(.f64 x (.f64 1/2 (*.f64 a a)))
9.0ms	(+.f64 (.f64 x (.f64 1/2 (*.f64 a a))) a)
6.0ms	(.f64 1/2 (.f64 a a))

Compiler

Compiled 1386 to 705 computations (49.1% saved)

series490.0ms (9.3%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

201.0ms	(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
132.0ms	(+.f64 (.f64 x (.f64 1/2 (*.f64 a a))) a)
101.0ms	(.f64 x (.f64 1/2 (*.f64 a a)))
33.0ms	(.f64 1/2 (.f64 a a))

Compiler

Compiled 897 to 691 computations (23% saved)

simplify134.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

394×	`*-commutative_binary64_1373`
335×	`unswap-sqr_binary64_1410`
250×	`associate-+l+_binary64_1375`
228×	`associate-+r+_binary64_1374`
222×	`distribute-rgt-neg-in_binary64_1400`
221×	`distribute-rgt-in_binary64_1392`
215×	`cancel-sign-sub-inv_binary64_1408`
210×	`distribute-lft-in_binary64_1391`
196×	`associate-l_binary64_1383`
191×	`associate-r_binary64_1382`
186×	`distribute-lft-neg-in_binary64_1399`
163×	`distribute-rgt-out_binary64_1395`
158×	`exp-prod_binary64_1494`
114×	`sqr-pow_binary64_1414`
96×	`swap-sqr_binary64_1409`
88×	`log-prod_binary64_1528`
80×	`neg-mul-1_binary64_1438`
77×	`neg-sub0_binary64_1437`
75×	`cube-prod_binary64_1470`
64×	`distribute-rgt-out--_binary64_1396`
50×	`distribute-lft-out_binary64_1393`
48×	`unsub-neg_binary64_1436`
37×	`unpow3_binary64_1508` `sub-neg_binary64_1435`
30×	`associate-/l*_binary64_1387`
29×	`*-lft-identity_binary64_1431`
27×	`*-rgt-identity_binary64_1432` `+-commutative_binary64_1372`
26×	`distribute-lft-neg-out_binary64_1401`
22×	`distribute-neg-in_binary64_1403`
18×	`associate-+l-_binary64_1377`
17×	`pow-plus_binary64_1505` `pow-sqr_binary64_1415`
14×	`cube-mult_binary64_1472`
13×	`unpow1/2_binary64_1506` `distribute-rgt1-in_binary64_1398` `associate-+r-_binary64_1376`
12×	`rem-sqrt-square_binary64_1455`
11×	`distribute-lft-out--_binary64_1394`
10×	`cube-unmult_binary64_1479`
8×	`log-pow_binary64_1531` `times-frac_binary64_1448` `associate-/l/_binary64_1389` `associate-*r/_binary64_1384`
7×	`exp-sum_binary64_1488`
6×	`associate-/r*_binary64_1386`
5×	`+-rgt-identity_binary64_1427` `distribute-rgt-neg-out_binary64_1402`
4×	`count-2_binary64_1390` `associate-/r/_binary64_1388` `associate--r+_binary64_1378`
3×	`prod-exp_binary64_1491` `sub0-neg_binary64_1429`
2×	`unpow2_binary64_1507` `unpow1_binary64_1500` `difference-of-squares_binary64_1411`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `difference-of-sqr--1_binary64_1413` `distribute-lft1-in_binary64_1397` `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-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` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `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_1412` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `associate-l/_binary64_1385` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

106 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1564
1	274	1402
2	1001	1397
3	2307	1397
4	4741	1397
5	4969	1397
6	4966	1397

prune69.0ms (1.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	83	8	91

Error

0.2b

Counts

91 → 8

Compiler

Compiled 1242 to 576 computations (53.6% saved)

regimes468.0ms (8.8%)

Accuracy

Total 0.5b remaining (85.1%)

Threshold costs 0.5b (85.1%)

Compiler

Compiled 2810 to 2020 computations (28.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_1373`
3×	`+-commutative_binary64_1372`
2×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `sub-neg_binary64_1435` `*-rgt-identity_binary64_1432`
1×	`1-exp_binary64_1486` `unsub-neg_binary64_1436` `distribute-rgt-neg-out_binary64_1402`
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` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `*-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-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	16	34
1	25	34
2	29	34
3	31	34
4	34	34
5	33	34
6	31	34

Remove

(sort a x)

Compiler

Compiled 46 to 28 computations (39.1% saved)

end0.0ms (0%)

sample1.6s (30.9%)

Algorithm

1×

intervals

Results

430.0ms	1493×	body	2048	valid
256.0ms	1720×	body	1024	valid
93.0ms	1077×	body	512	valid
79.0ms	3086×	body	128	valid
33.0ms	624×	body	256	valid
4.0ms	153×	body	128	invalid

Compiler

Compiled 501 to 354 computations (29.3% saved)

Details

analyze269.0ms (5.1%)

sample46.0ms (0.9%)

simplify68.0ms (1.3%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite37.0ms (0.7%)

series126.0ms (2.4%)

simplify80.0ms (1.5%)

prune25.0ms (0.5%)

localize8.0ms (0.1%)

rewrite105.0ms (2%)

series575.0ms (10.8%)

simplify81.0ms (1.5%)

prune75.0ms (1.4%)

localize11.0ms (0.2%)

rewrite101.0ms (1.9%)

series597.0ms (11.3%)

simplify106.0ms (2%)

prune50.0ms (0.9%)

localize7.0ms (0.1%)

rewrite114.0ms (2.2%)

series490.0ms (9.3%)

simplify134.0ms (2.5%)

prune69.0ms (1.3%)

regimes468.0ms (8.8%)

bsearch2.0ms (0%)

simplify12.0ms (0.2%)

end0.0ms (0%)

sample1.6s (30.9%)

Profiling