Details

analyze701.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Rules

40×	`+-commutative_binary64_1372`
19×	`associate-+l+_binary64_1375` `associate-+r+_binary64_1374`
14×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
13×	`*-commutative_binary64_1373`
12×	`associate-l_binary64_1383`
6×	`associate-r_binary64_1382`
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` `1-exp_binary64_1486` `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` `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` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `cancel-sign-sub-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` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-rgt-out_binary64_1395` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-*r/_binary64_1384` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	55	91
2	97	91
3	147	91
4	147	91
5	147	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	81×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64_1372`
4×	`associate-+l+_binary64_1375` `associate-+r+_binary64_1374`
3×	`*-commutative_binary64_1373`
2×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-l_binary64_1383`
1×	`associate-r_binary64_1382`
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` `1-exp_binary64_1486` `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` `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` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `cancel-sign-sub-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` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-rgt-out_binary64_1395` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-*r/_binary64_1384` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	21	13
3	30	13
4	30	13
5	30	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464`
5×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-l_binary64_1383` `associate-r_binary64_1382`
2×	`associate-*l/_binary64_1385` `sum-log_binary64_1533` `+-commutative_binary64_1372`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

3 → 42

Calls

3 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
4.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 740 to 171 computations (76.9% saved)

series635.0ms (7.3%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

304.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
183.0ms	(.f64 (+.f64 (.f64 x y) z) y)
110.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 1302 to 938 computations (28% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

672×	`associate-+l+_binary64_1375`
610×	`associate-+r+_binary64_1374`
377×	`associate-l_binary64_1383`
309×	`associate-r_binary64_1382`
263×	`distribute-rgt-in_binary64_1392`
247×	`distribute-lft-in_binary64_1391`
183×	`cancel-sign-sub-inv_binary64_1408`
136×	`unswap-sqr_binary64_1410`
118×	`distribute-rgt-out_binary64_1395`
113×	`distribute-rgt-neg-in_binary64_1400`
89×	`*-commutative_binary64_1373`
86×	`associate--r+_binary64_1378`
85×	`distribute-lft-neg-in_binary64_1399`
76×	`distribute-neg-in_binary64_1403`
58×	`sub-neg_binary64_1435`
56×	`associate--l+_binary64_1379`
55×	`distribute-lft-out_binary64_1393`
52×	`sqr-pow_binary64_1414`
36×	`exp-prod_binary64_1494`
35×	`distribute-lft-neg-out_binary64_1401` `associate-+l-_binary64_1377`
34×	`*-lft-identity_binary64_1431`
31×	`neg-sub0_binary64_1437`
30×	`distribute-rgt-out--_binary64_1396`
29×	`*-rgt-identity_binary64_1432`
28×	`neg-mul-1_binary64_1438`
25×	`cube-prod_binary64_1470` `associate-+r-_binary64_1376` `+-commutative_binary64_1372`
21×	`unsub-neg_binary64_1436`
19×	`distribute-rgt-neg-out_binary64_1402`
18×	`exp-sum_binary64_1488`
15×	`log-prod_binary64_1528`
10×	`+-rgt-identity_binary64_1427`
8×	`unpow3_binary64_1508` `pow-sqr_binary64_1415` `distribute-lft-out--_binary64_1394`
6×	`cube-unmult_binary64_1479` `sub0-neg_binary64_1429` `swap-sqr_binary64_1409` `associate-/l*_binary64_1387`
5×	`cube-mult_binary64_1472`
4×	`difference-of-squares_binary64_1411`
2×	`log-pow_binary64_1531` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-/r_binary64_1386` `associate-r/_binary64_1384` `associate--r-_binary64_1381`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-sqrt-square_binary64_1455` `associate-/r/_binary64_1388`
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` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate-l/_binary64_1385` `associate--l-_binary64_1380`

Counts

105 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1244
1	220	1124
2	594	1112
3	2051	1112
4	5443	1112

prune64.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Error

0.0b

Counts

84 → 7

Compiler

Compiled 1092 to 219 computations (79.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 z (*.f64 y x)))
0.5b	(cbrt.f64 (+.f64 z (*.f64 y x)))
0.5b	(cbrt.f64 (+.f64 z (*.f64 y x)))
0.5b	(.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x))))

rewrite132.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
18×	`cbrt-div_binary64_1474`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`pow1/3_binary64_1524` `flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`add-exp-log_binary64_1480` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 3008 to 510 computations (83% saved)

series1.4s (16.3%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

380.0ms	(.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x))))
308.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))
306.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))
301.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 8200 to 5349 computations (34.8% saved)

simplify144.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-/l*_binary64_1387`
573×	`associate-/r*_binary64_1386`
281×	`associate-*l/_binary64_1385`
204×	`associate-/r/_binary64_1388`
163×	`cancel-sign-sub-inv_binary64_1408`
140×	`times-frac_binary64_1448`
139×	`associate-r_binary64_1382`
136×	`exp-prod_binary64_1494`
119×	`distribute-rgt-neg-in_binary64_1400`
114×	`distribute-lft-neg-in_binary64_1399`
101×	`associate-l_binary64_1383`
100×	`*-commutative_binary64_1373`
84×	`distribute-rgt-in_binary64_1392`
81×	`unswap-sqr_binary64_1410`
75×	`sqr-pow_binary64_1414` `distribute-lft-in_binary64_1391`
74×	`distribute-neg-frac_binary64_1406`
67×	`associate-*r/_binary64_1384`
59×	`sub-neg_binary64_1435`
48×	`associate-/l/_binary64_1389`
45×	`log-prod_binary64_1528`
38×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `+-commutative_binary64_1372`
37×	`exp-sum_binary64_1488`
23×	`distribute-rgt-out_binary64_1395`
21×	`distribute-lft-neg-out_binary64_1401`
19×	`exp-to-pow_binary64_1504`
17×	`unsub-neg_binary64_1436`
15×	`unpow1/3_binary64_1509`
14×	`distribute-rgt-neg-out_binary64_1402` `distribute-lft-out_binary64_1393`
12×	`log-pow_binary64_1531` `cube-prod_binary64_1470`
11×	`pow-plus_binary64_1505` `pow-sqr_binary64_1415`
10×	`log-div_binary64_1529` `distribute-neg-out_binary64_1404` `associate--l+_binary64_1379`
9×	`unpow3_binary64_1508` `exp-diff_binary64_1490` `div-sub_binary64_1447` `*-rgt-identity_binary64_1432`
8×	`exp-lft-sqr_binary64_1497` `*-lft-identity_binary64_1431` `distribute-lft-out--_binary64_1394`
7×	`distribute-neg-in_binary64_1403`
6×	`distribute-rgt-out--_binary64_1396` `associate-+l+_binary64_1375`
5×	`swap-sqr_binary64_1409` `associate--r-_binary64_1381`
4×	`unpow1/2_binary64_1506` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `remove-double-neg_binary64_1430`
3×	`unpow2_binary64_1507` `unpow1_binary64_1500` `rem-sqrt-square_binary64_1455`
2×	`log-rec_binary64_1530` `rem-3cbrt-lft_binary64_1467` `count-2_binary64_1390`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-rft_binary64_1468` `rem-square-sqrt_binary64_1454` `+-inverses_binary64_1421` `difference-of-squares_binary64_1411` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `pow-base-0_binary64_1526` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `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-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `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` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate--l-_binary64_1380` `associate--r+_binary64_1378` `associate-+r+_binary64_1374`

Counts

165 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	4376
1	578	4127
2	1654	3902
3	4832	3760
4	4972	3760

prune200.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	151	8	159

Error

Counts

159 → 8

Compiler

Compiled 5089 to 1410 computations (72.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite79.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`pow1/3_binary64_1524`
6×	`add-exp-log_binary64_1480` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1524 to 366 computations (76% saved)

series470.0ms (5.4%)

Error

Counts

4 → 12

Calls

4 calls:

121.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
114.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)
109.0ms	(cbrt.f64 y)

Compiler

Compiled 663 to 456 computations (31.2% saved)

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_1528`
416×	`sqr-pow_binary64_1414`
335×	`associate-l_binary64_1383`
309×	`*-commutative_binary64_1373`
277×	`distribute-rgt-neg-in_binary64_1400`
257×	`distribute-lft-neg-in_binary64_1399`
227×	`associate-r_binary64_1382`
188×	`exp-prod_binary64_1494`
161×	`log-pow_binary64_1531`
149×	`cube-prod_binary64_1470`
128×	`pow-sqr_binary64_1415`
124×	`unswap-sqr_binary64_1410`
111×	`swap-sqr_binary64_1409`
104×	`associate-/l*_binary64_1387`
81×	`cancel-sign-sub-inv_binary64_1408`
75×	`associate-+l+_binary64_1375`
69×	`associate-+r+_binary64_1374`
61×	`distribute-rgt-in_binary64_1392`
60×	`distribute-lft-out_binary64_1393`
57×	`distribute-lft-in_binary64_1391`
54×	`neg-sub0_binary64_1437`
53×	`neg-mul-1_binary64_1438`
48×	`distribute-rgt-out_binary64_1395`
45×	`+-commutative_binary64_1372`
43×	`pow-plus_binary64_1505` `rem-sqrt-square_binary64_1455`
41×	`times-frac_binary64_1448` `sub-neg_binary64_1435`
37×	`associate-/r/_binary64_1388`
35×	`associate-*r/_binary64_1384`
32×	`unpow3_binary64_1508`
31×	`-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `associate-/l/_binary64_1389`
29×	`count-2_binary64_1390`
27×	`cube-mult_binary64_1472`
24×	`associate-/r*_binary64_1386`
17×	`log-div_binary64_1529` `cube-div_binary64_1471` `distribute-neg-frac_binary64_1406`
13×	`cube-unmult_binary64_1479` `distribute-rgt1-in_binary64_1398`
11×	`distribute-rgt-neg-out_binary64_1402`
10×	`unpow1/2_binary64_1506`
9×	`distribute-lft-neg-out_binary64_1401` `distribute-lft1-in_binary64_1397`
8×	`unpow2_binary64_1507` `associate-*l/_binary64_1385`
5×	`unpow1_binary64_1500`
3×	`unpow1/3_binary64_1509`
2×	`exp-sqrt_binary64_1495` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `mul-1-neg_binary64_1434`
1×	`exp-lft-sqr_binary64_1497` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-rft_binary64_1468` `rem-square-sqrt_binary64_1454` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `associate-+l-_binary64_1377`
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` `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-cbrt_binary64_1496` `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-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `div-sub_binary64_1447` `unsub-neg_binary64_1436` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378` `associate-+r-_binary64_1376`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune55.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	50	8	58

Error

Counts

58 → 8

Compiler

Compiled 1020 to 335 computations (67.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.5b	(.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x))))
0.5b	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x)))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 4)

rewrite216.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-div_binary64_1474`
35×	`cbrt-prod_binary64_1473`
26×	`add-sqr-sqrt_binary64_1464`
18×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
13×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
12×	`pow1_binary64_1503`
9×	`unpow-prod-down_binary64_1521` `pow1/3_binary64_1524`
8×	`frac-times_binary64_1452`
7×	`add-exp-log_binary64_1480`
6×	`swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `unswap-sqr_binary64_1410`
3×	`pow-unpow_binary64_1519`
2×	`pow-pow_binary64_1514` `pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `sqr-pow_binary64_1414` `pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 105

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x))))
8.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x)))))
7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 4)
5.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

Compiler

Compiled 4932 to 1078 computations (78.1% saved)

series1.8s (20.1%)

Error

Counts

4 → 62

Calls

4 calls:

660.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 4)
431.0ms	(.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x))))
306.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 y x))) (cbrt.f64 (+.f64 z (*.f64 y x)))))
232.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

Compiler

Compiled 8300 to 5419 computations (34.7% saved)

simplify158.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

342×	`cancel-sign-sub-inv_binary64_1408`
316×	`times-frac_binary64_1448`
241×	`distribute-rgt-neg-in_binary64_1400`
234×	`distribute-lft-neg-in_binary64_1399`
230×	`exp-prod_binary64_1494`
221×	`associate-/r*_binary64_1386`
208×	`unswap-sqr_binary64_1410` `associate-r_binary64_1382`
187×	`distribute-neg-frac_binary64_1406`
165×	`associate-/l*_binary64_1387`
160×	`sqr-pow_binary64_1414`
147×	`associate-l_binary64_1383`
133×	`log-prod_binary64_1528`
123×	`*-commutative_binary64_1373`
114×	`associate-*r/_binary64_1384`
95×	`distribute-rgt-in_binary64_1392`
84×	`associate-*l/_binary64_1385`
78×	`sub-neg_binary64_1435`
55×	`+-commutative_binary64_1372`
50×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
45×	`exp-sum_binary64_1488`
29×	`swap-sqr_binary64_1409`
28×	`distribute-lft-neg-out_binary64_1401`
27×	`log-pow_binary64_1531` `cube-prod_binary64_1470` `pow-sqr_binary64_1415`
26×	`pow-plus_binary64_1505`
21×	`exp-to-pow_binary64_1504` `associate-/r/_binary64_1388`
20×	`associate--l+_binary64_1379`
19×	`unpow3_binary64_1508` `distribute-rgt-neg-out_binary64_1402`
18×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unsub-neg_binary64_1436`
17×	`unpow1_binary64_1500` `distribute-lft-in_binary64_1391`
15×	`distribute-rgt-out_binary64_1395`
12×	`associate-+l+_binary64_1375`
10×	`distribute-neg-out_binary64_1404` `distribute-lft-out_binary64_1393`
9×	`exp-diff_binary64_1490` `div-sub_binary64_1447` `*-rgt-identity_binary64_1432` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394`
8×	`exp-lft-sqr_binary64_1497` `cube-unmult_binary64_1479` `rem-sqrt-square_binary64_1455` `*-lft-identity_binary64_1431`
7×	`unpow1/3_binary64_1509` `distribute-neg-in_binary64_1403`
5×	`log-div_binary64_1529` `cube-mult_binary64_1472` `associate--r-_binary64_1381`
4×	`prod-exp_binary64_1491` `remove-double-neg_binary64_1430`
3×	`rem-3cbrt-lft_binary64_1467`
2×	`log-rec_binary64_1530` `difference-of-squares_binary64_1411` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-rft_binary64_1468` `rem-square-sqrt_binary64_1454` `+-inverses_binary64_1421` `count-2_binary64_1390`
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` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `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` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate-/l/_binary64_1389` `associate--l-_binary64_1380` `associate--r+_binary64_1378` `associate-+r+_binary64_1374`

Counts

167 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	343	4842
1	869	4543
2	2720	4338
3	4647	4188
4	4932	4188

prune217.0ms (2.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	133	8	141

Error

Counts

141 → 8

Compiler

Compiled 5746 to 1690 computations (70.6% saved)

regimes584.0ms (6.7%)

Accuracy

Total 0.1b remaining (91.3%)

Threshold costs 0.1b (91.3%)

Compiler

Compiled 6352 to 3902 computations (38.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_1373 +-commutative_binary64_1372

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	13	13

end0.0ms (0%)

sample1.6s (18.1%)

Algorithm

1×

intervals

Results

417.0ms	8000×	body	128	valid
57.0ms	1859×	body	128	invalid

Compiler

Compiled 1071 to 661 computations (38.3% saved)

Details

analyze701.0ms (8%)

sample24.0ms (0.3%)

simplify13.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite63.0ms (0.7%)

series635.0ms (7.3%)

simplify66.0ms (0.8%)

prune64.0ms (0.7%)

localize10.0ms (0.1%)

rewrite132.0ms (1.5%)

series1.4s (16.3%)

simplify144.0ms (1.6%)

prune200.0ms (2.3%)

localize10.0ms (0.1%)

rewrite79.0ms (0.9%)

series470.0ms (5.4%)

simplify101.0ms (1.2%)

prune55.0ms (0.6%)

localize19.0ms (0.2%)

rewrite216.0ms (2.5%)

series1.8s (20.1%)

simplify158.0ms (1.8%)

prune217.0ms (2.5%)

regimes584.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (18.1%)

Profiling