Details

analyze1.5s (10.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

4016×	`associate-+l+_binary64_1375`
1230×	`+-commutative_binary64_1372`
282×	`associate-+r+_binary64_1374`
61×	`*-commutative_binary64_1373`
28×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
8×	`sub-neg_binary64_1435`
1×	`swap-z-t` `swap-z-a`
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` `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-l_binary64_1383` `associate-r*_binary64_1382` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376` `swap-t-a`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	928
1	543	928
2	1802	928
3	1802	928
4	1802	928
5	2484	928
6	2484	928
7	2484	928
8	6568	928
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Symmetry

(sort z t a)

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample125.0ms (0.9%)

Algorithm

1×

intervals

Results

31.0ms	256×	body	128	valid
21.0ms	315×	body	128	nan
3.0ms	31×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2664×	`associate-+l+_binary64_1375`
1041×	`associate-+r+_binary64_1374`
923×	`+-commutative_binary64_1372`
5×	`*-commutative_binary64_1373`
2×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
1×	`sub-neg_binary64_1435`
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` `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-l_binary64_1383` `associate-r*_binary64_1382` `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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	40	32
2	99	32
3	342	32
4	986	32
5	1208	32
6	1208	32
7	1208	32
8	1208	32
9	2260	32
10	2260	32
11	2226	32
12	2226	32
13	1974	32
14	1958	32

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

0.1b

Counts

1 → 1

Compiler

Compiled 21 to 20 computations (4.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite178.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-log-exp_binary64_1481`
20×	`add-sqr-sqrt_binary64_1464`
18×	`log-prod_binary64_1528`
16×	`*-un-lft-identity_binary64_1442` `sum-log_binary64_1533`
14×	`add-cube-cbrt_binary64_1477`
10×	`pow1_binary64_1503`
9×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `associate-r_binary64_1382`
7×	`associate-+l+_binary64_1375`
2×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `log-pow_binary64_1531` `-commutative_binary64_1373` `associate-l/_binary64_1385` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`
1×	`flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`

Counts

4 → 87

Calls

4 calls:

19.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
6.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 2571 to 921 computations (64.2% saved)

series3.2s (21.8%)

Error

0.1b

Counts

4 → 74

Calls

4 calls:

2.3s	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
332.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
282.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
195.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 3858 to 2724 computations (29.4% saved)

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

507×	`+-commutative_binary64_1372`
482×	`associate--l+_binary64_1379`
397×	`*-commutative_binary64_1373`
207×	`exp-sum_binary64_1488`
189×	`neg-sub0_binary64_1437`
185×	`neg-mul-1_binary64_1438`
164×	`associate-l_binary64_1383`
160×	`associate-+r+_binary64_1374`
159×	`cancel-sign-sub-inv_binary64_1408`
158×	`exp-diff_binary64_1490`
149×	`associate-+l+_binary64_1375`
127×	`associate-+r-_binary64_1376`
125×	`associate-r_binary64_1382`
114×	`sub-neg_binary64_1435`
113×	`associate--r+_binary64_1378`
99×	`associate-+l-_binary64_1377`
86×	`exp-prod_binary64_1494` `distribute-rgt-in_binary64_1392`
76×	`distribute-lft-neg-out_binary64_1401`
75×	`distribute-lft-in_binary64_1391`
68×	`distribute-rgt-neg-out_binary64_1402`
65×	`distribute-rgt-neg-in_binary64_1400`
58×	`unsub-neg_binary64_1436`
55×	`log-prod_binary64_1528`
52×	`distribute-neg-in_binary64_1403`
51×	`cube-prod_binary64_1470`
44×	`prod-exp_binary64_1491`
41×	`sqr-pow_binary64_1414` `distribute-lft-neg-in_binary64_1399`
27×	`*-lft-identity_binary64_1431`
26×	`exp-to-pow_binary64_1504`
25×	`distribute-rgt-out_binary64_1395`
24×	`*-rgt-identity_binary64_1432`
21×	`associate--r-_binary64_1381`
15×	`div-sub_binary64_1447`
14×	`swap-sqr_binary64_1409` `distribute-lft-out_binary64_1393`
13×	`distribute-rgt-out--_binary64_1396` `associate--l-_binary64_1380`
12×	`unpow3_binary64_1508`
10×	`unswap-sqr_binary64_1410`
8×	`cube-mult_binary64_1472` `cube-neg_binary64_1469`
7×	`cube-unmult_binary64_1479`
6×	`sqr-neg_binary64_1456` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
5×	`log-div_binary64_1529` `unpow1/2_binary64_1506` `distribute-lft-out--_binary64_1394`
4×	`remove-double-neg_binary64_1430`
3×	`log-rec_binary64_1530` `mul-1-neg_binary64_1434` `pow-sqr_binary64_1415` `distribute-neg-out_binary64_1404`
2×	`rec-exp_binary64_1492` `exp-neg_binary64_1489` `rem-exp-log_binary64_1482` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-rgt1-in_binary64_1398` `count-2_binary64_1390`
1×	`log-pow_binary64_1531` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `+-inverses_binary64_1421` `distribute-frac-neg_binary64_1405` `associate-/l*_binary64_1387`
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` `unpow2_binary64_1507` `pow-plus_binary64_1505` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `cube-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `/-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` `distribute-neg-frac_binary64_1406` `distribute-lft1-in_binary64_1397` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/r_binary64_1386`

Counts

161 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	3051
1	641	2784
2	2065	2730
3	4053	2718
4	4969	2718

prune177.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Error

0.0b

Counts

125 → 9

Compiler

Compiled 3286 to 1185 computations (63.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite159.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`log-prod_binary64_1528`
18×	`cbrt-prod_binary64_1473` `add-sqr-sqrt_binary64_1464`
16×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`distribute-rgt-in_binary64_1392` `associate-+r+_binary64_1374` `distribute-lft-in_binary64_1391`
7×	`pow1_binary64_1503`
6×	`add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
5×	`associate-r_binary64_1382`
3×	`pow1/3_binary64_1524` `associate-l_binary64_1383`
2×	`log-pow_binary64_1531`
1×	`sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

4 → 78

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2898 to 1201 computations (58.6% saved)

series1.1s (7.4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

422.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
382.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
128.0ms	(cbrt.f64 y)
117.0ms	(cbrt.f64 y)

Compiler

Compiled 1638 to 1318 computations (19.5% saved)

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-+l+_binary64_1375`
328×	`cancel-sign-sub-inv_binary64_1408`
291×	`*-commutative_binary64_1373`
249×	`distribute-rgt-out_binary64_1395`
246×	`distribute-rgt-neg-in_binary64_1400`
210×	`distribute-lft-neg-in_binary64_1399`
205×	`associate--r+_binary64_1378`
176×	`distribute-lft-out_binary64_1393`
162×	`distribute-rgt-in_binary64_1392`
143×	`associate-l_binary64_1383`
140×	`distribute-lft-in_binary64_1391`
120×	`associate-r_binary64_1382`
114×	`log-prod_binary64_1528`
112×	`distribute-neg-in_binary64_1403`
95×	`associate--l+_binary64_1379`
83×	`sqr-pow_binary64_1414`
76×	`count-2_binary64_1390`
75×	`cube-prod_binary64_1470`
69×	`associate-+l-_binary64_1377`
66×	`swap-sqr_binary64_1409`
65×	`associate-+r-_binary64_1376`
64×	`distribute-rgt-out--_binary64_1396`
60×	`exp-prod_binary64_1494`
56×	`sub-neg_binary64_1435`
52×	`unswap-sqr_binary64_1410`
43×	`associate-/r*_binary64_1386`
41×	`neg-sub0_binary64_1437`
40×	`neg-mul-1_binary64_1438`
39×	`exp-sum_binary64_1488` `+-commutative_binary64_1372`
38×	`distribute-lft-neg-out_binary64_1401`
34×	`*-lft-identity_binary64_1431`
31×	`distribute-lft-out--_binary64_1394`
24×	`*-rgt-identity_binary64_1432`
23×	`associate-/l*_binary64_1387`
22×	`distribute-rgt1-in_binary64_1398`
19×	`distribute-rgt-neg-out_binary64_1402`
18×	`log-div_binary64_1529` `exp-to-pow_binary64_1504`
17×	`log-pow_binary64_1531` `associate-+r+_binary64_1374`
16×	`associate-/l/_binary64_1389` `associate--r-_binary64_1381`
14×	`pow-sqr_binary64_1415`
11×	`unpow3_binary64_1508` `unsub-neg_binary64_1436`
9×	`cube-mult_binary64_1472`
8×	`distribute-lft1-in_binary64_1397`
6×	`associate-*r/_binary64_1384`
5×	`exp-diff_binary64_1490` `cube-unmult_binary64_1479` `+-rgt-identity_binary64_1427`
4×	`log-rec_binary64_1530` `prod-exp_binary64_1491` `rem-sqrt-square_binary64_1455` `div-sub_binary64_1447` `associate--l-_binary64_1380`
3×	`unpow1/3_binary64_1509` `exp-lft-sqr_binary64_1497` `sub0-neg_binary64_1429` `difference-of-squares_binary64_1411`
2×	`pow-plus_binary64_1505` `rec-exp_binary64_1492` `associate-/r/_binary64_1388`
1×	`unpow1/2_binary64_1506` `exp-lft-cube_binary64_1498` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-exp-log_binary64_1482` `rem-3cbrt-lft_binary64_1467` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430`
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` `unpow2_binary64_1507` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `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` `--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`

Counts

96 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1377
1	261	1182
2	883	1033
3	2076	1022
4	5197	1022

prune116.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	59	10	69

Error

0.0b

Counts

69 → 10

Compiler

Compiled 2185 to 1048 computations (52% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 y 2/3))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
5.9b	(pow.f64 y 2/3)

rewrite128.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`cbrt-prod_binary64_1473`
10×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
6×	`unpow-prod-down_binary64_1521`
5×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
3×	`pow-unpow_binary64_1519` `pow1/3_binary64_1524`
2×	`sqr-pow_binary64_1414`
1×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510`

Counts

4 → 54

Calls

4 calls:

3.0ms	(pow.f64 y 2/3)
2.0ms	(cbrt.f64 (pow.f64 y 2/3))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2371 to 1203 computations (49.3% saved)

series502.0ms (3.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt.f64 (pow.f64 y 2/3))
117.0ms	(cbrt.f64 y)
117.0ms	(pow.f64 y 2/3)
114.0ms	(cbrt.f64 y)

Compiler

Compiled 1494 to 1143 computations (23.5% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

960×	`log-prod_binary64_1528`
568×	`unswap-sqr_binary64_1410`
377×	`exp-sum_binary64_1488`
272×	`*-commutative_binary64_1373`
253×	`log-div_binary64_1529`
193×	`sqr-pow_binary64_1414`
191×	`associate-l_binary64_1383`
155×	`distribute-rgt-in_binary64_1392`
149×	`log-pow_binary64_1531`
147×	`associate-r_binary64_1382`
144×	`distribute-lft-in_binary64_1391`
143×	`associate-/r*_binary64_1386`
119×	`exp-prod_binary64_1494`
114×	`sub-neg_binary64_1435`
110×	`associate-+r+_binary64_1374`
88×	`distribute-rgt-neg-in_binary64_1400`
86×	`associate-+l+_binary64_1375`
85×	`distribute-lft-neg-in_binary64_1399`
73×	`div-sub_binary64_1447`
65×	`exp-diff_binary64_1490` `associate--r+_binary64_1378`
61×	`pow-sqr_binary64_1415`
57×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `cancel-sign-sub-inv_binary64_1408`
55×	`cube-prod_binary64_1470`
54×	`unsub-neg_binary64_1436`
38×	`pow-plus_binary64_1505`
36×	`distribute-neg-in_binary64_1403`
34×	`cube-unmult_binary64_1479`
27×	`associate-/l/_binary64_1389`
24×	`exp-to-pow_binary64_1504`
22×	`rem-sqrt-square_binary64_1455`
21×	`distribute-rgt-out_binary64_1395`
18×	`swap-sqr_binary64_1409` `associate-/l*_binary64_1387`
16×	`*-rgt-identity_binary64_1432`
15×	`*-lft-identity_binary64_1431`
14×	`+-commutative_binary64_1372`
13×	`+-lft-identity_binary64_1426`
11×	`unpow3_binary64_1508`
10×	`distribute-lft-out_binary64_1393` `count-2_binary64_1390` `associate--r-_binary64_1381`
9×	`distribute-rgt-neg-out_binary64_1402`
8×	`unpow1/3_binary64_1509` `sub0-neg_binary64_1429` `distribute-lft-neg-out_binary64_1401`
7×	`+-rgt-identity_binary64_1427` `associate-*r/_binary64_1384`
5×	`pow-base-1_binary64_1502` `cube-mult_binary64_1472` `remove-double-neg_binary64_1430` `associate--l-_binary64_1380`
4×	`prod-exp_binary64_1491` `times-frac_binary64_1448` `mul-1-neg_binary64_1434`
3×	`log-rec_binary64_1530` `unpow2_binary64_1507` `associate-*l/_binary64_1385` `associate-+l-_binary64_1377`
2×	`exp-neg_binary64_1489` `rem-exp-log_binary64_1482` `rem-3cbrt-lft_binary64_1467` `/-rgt-identity_binary64_1433` `associate-/r/_binary64_1388` `associate--l+_binary64_1379`
1×	`log-E_binary64_1532` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-cbrt-cube_binary64_1466` `--rgt-identity_binary64_1428` `+-inverses_binary64_1421` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `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` `pow-base-0_binary64_1526` `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` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `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` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394`

Counts

66 → 40

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	443
1	118	433
2	284	423
3	1008	423
4	3124	423
5	4509	423
6	5590	423

prune91.0ms (0.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	40	10	50

Error

0.0b

Counts

50 → 10

Compiler

Compiled 1920 to 1000 computations (47.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite148.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_1464`
12×	`add-cube-cbrt_binary64_1477` `cbrt-prod_binary64_1473` `*-un-lft-identity_binary64_1442`
9×	`pow1_binary64_1503`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
7×	`associate-l_binary64_1383`
6×	`sqrt-prod_binary64_1458` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481`
2×	`pow1/3_binary64_1524` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `-commutative_binary64_1373` `associate-r/_binary64_1384`
1×	`log-pow_binary64_1531` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 69

Calls

4 calls:

9.0ms	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
5.0ms	(*.f64 (log.f64 y) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

Compiler

Compiled 2884 to 1172 computations (59.4% saved)

series738.0ms (5.1%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

470.0ms	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
90.0ms	(*.f64 (log.f64 y) 2/3)
78.0ms	(cbrt.f64 (sqrt.f64 y))
76.0ms	(cbrt.f64 (sqrt.f64 y))

Compiler

Compiled 1667 to 1255 computations (24.7% saved)

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

647×	`unsub-neg_binary64_1436`
342×	`*-commutative_binary64_1373`
314×	`associate-+r+_binary64_1374`
267×	`distribute-rgt-in_binary64_1392`
263×	`distribute-lft-in_binary64_1391`
251×	`associate-+l+_binary64_1375`
216×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
172×	`exp-sum_binary64_1488`
154×	`div-exp_binary64_1493`
138×	`sub-neg_binary64_1435`
133×	`exp-diff_binary64_1490`
131×	`sqr-pow_binary64_1414`
128×	`log-prod_binary64_1528` `distribute-rgt-neg-out_binary64_1402`
119×	`exp-prod_binary64_1494`
112×	`distribute-lft-neg-out_binary64_1401`
108×	`associate-l_binary64_1383`
106×	`rem-sqrt-square_binary64_1455`
92×	`div-sub_binary64_1447`
85×	`associate-r_binary64_1382`
84×	`unswap-sqr_binary64_1410`
75×	`+-commutative_binary64_1372`
62×	`log-pow_binary64_1531`
60×	`times-frac_binary64_1448`
56×	`associate--r+_binary64_1378`
54×	`associate-+r-_binary64_1376`
50×	`log-div_binary64_1529` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431`
31×	`exp-to-pow_binary64_1504` `cube-prod_binary64_1470` `cancel-sign-sub-inv_binary64_1408`
29×	`associate--l+_binary64_1379`
27×	`associate--r-_binary64_1381`
26×	`pow-sqr_binary64_1415`
25×	`associate-+l-_binary64_1377`
23×	`remove-double-neg_binary64_1430`
20×	`swap-sqr_binary64_1409`
17×	`+-rgt-identity_binary64_1427` `distribute-neg-in_binary64_1403`
16×	`distribute-neg-out_binary64_1404` `distribute-rgt-neg-in_binary64_1400` `distribute-rgt-out_binary64_1395`
12×	`distribute-lft-neg-in_binary64_1399`
11×	`unpow1/2_binary64_1506` `exp-neg_binary64_1489` `sqr-neg_binary64_1456` `sub0-neg_binary64_1429` `count-2_binary64_1390`
9×	`unpow3_binary64_1508`
7×	`--rgt-identity_binary64_1428` `distribute-rgt-out--_binary64_1396`
6×	`cube-unmult_binary64_1479` `associate--l-_binary64_1380`
5×	`rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `associate-/l*_binary64_1387`
4×	`log-rec_binary64_1530` `unpow1/3_binary64_1509` `unpow1_binary64_1500` `difference-of-squares_binary64_1411` `associate-/r*_binary64_1386`
3×	`pow-plus_binary64_1505` `prod-exp_binary64_1491` `+-lft-identity_binary64_1426` `distribute-lft-out_binary64_1393`
2×	`pow-base-1_binary64_1502` `exp-sqrt_binary64_1495` `cube-mult_binary64_1472` `+-inverses_binary64_1421` `cancel-sign-sub_binary64_1407`
1×	`log-E_binary64_1532` `unpow-1_binary64_1499` `rec-exp_binary64_1492` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-log-exp_binary64_1483` `rem-3cbrt-lft_binary64_1467` `mul-1-neg_binary64_1434` `distribute-frac-neg_binary64_1405` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389` `associate-*r/_binary64_1384`
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` `unpow2_binary64_1507` `unpow0_binary64_1501` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `cube-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `/-rgt-identity_binary64_1433` `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` `distribute-neg-frac_binary64_1406` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate-/r/_binary64_1388` `associate-l/_binary64_1385`

Counts

84 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	1131
1	281	1014
2	773	1003
3	1568	1000
4	3070	992
5	4537	992
6	4818	992
7	4937	992
8	4942	992

prune88.0ms (0.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	50	10	60

Error

0.0b

Counts

60 → 10

Compiler

Compiled 1978 to 815 computations (58.8% saved)

regimes1.7s (11.8%)

Accuracy

Total 0.1b remaining (86.5%)

Threshold costs 0.1b (86.5%)

Compiler

Compiled 20587 to 17992 computations (12.6% saved)

bsearch0.0ms (0%)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64_1372`
7×	`*-commutative_binary64_1373`
2×	`sub-neg_binary64_1435`
1×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
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` `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-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	30	63
1	44	63
2	49	63
3	51	63
4	52	63
5	52	63

Remove

(sort z t a)

Compiler

Compiled 78 to 58 computations (25.6% saved)

end0.0ms (0%)

sample4.0s (27.8%)

Algorithm

1×

intervals

Results

864.0ms	7996×	body	128	valid
675.0ms	9705×	body	128	nan
94.0ms	1166×	body	128	invalid
1.0ms	4×	body	512	valid

Compiler

Compiled 1759 to 1529 computations (13.1% saved)

Details

analyze1.5s (10.2%)

sample125.0ms (0.9%)

simplify62.0ms (0.4%)

prune2.0ms (0%)

localize17.0ms (0.1%)

rewrite178.0ms (1.2%)

series3.2s (21.8%)

simplify123.0ms (0.8%)

prune177.0ms (1.2%)

localize23.0ms (0.2%)

rewrite159.0ms (1.1%)

series1.1s (7.4%)

simplify77.0ms (0.5%)

prune116.0ms (0.8%)

localize38.0ms (0.3%)

rewrite128.0ms (0.9%)

series502.0ms (3.5%)

simplify87.0ms (0.6%)

prune91.0ms (0.6%)

localize27.0ms (0.2%)

rewrite148.0ms (1%)

series738.0ms (5.1%)

simplify145.0ms (1%)

prune88.0ms (0.6%)

regimes1.7s (11.8%)

bsearch0.0ms (0%)

simplify19.0ms (0.1%)

end0.0ms (0%)

sample4.0s (27.8%)

Profiling