Details

analyze218.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	67×	body	1024	valid
5.0ms	147×	body	128	valid
2.0ms	18×	body	512	valid
1.0ms	9×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19

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

27.2b

Counts

1 → 1

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))
3.2b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite322.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

26.7b

Rules

148×	`*-un-lft-identity_binary64_1442`
88×	`times-frac_binary64_1448`
85×	`add-sqr-sqrt_binary64_1464`
37×	`add-cube-cbrt_binary64_1477`
34×	`cancel-sign-sub-inv_binary64_1408`
27×	`distribute-lft-out_binary64_1393`
22×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
11×	`associate-/r*_binary64_1386`
9×	`difference-of-sqr-1_binary64_1412`
7×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/l*_binary64_1387`
6×	`associate-/r/_binary64_1388`
5×	`add-log-exp_binary64_1481`
3×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417` `div-inv_binary64_1439`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/l/_binary64_1389`
1×	`diff-log_binary64_1534` `frac-sub_binary64_1451` `sub-neg_binary64_1435`

Counts

3 → 147

Calls

3 calls:

41.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
9.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 3337 to 2419 computations (27.5% saved)

series195.0ms (3.2%)

Error

0.0b

Counts

3 → 29

Calls

3 calls:

86.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
42.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
42.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 909 to 752 computations (17.3% saved)

simplify140.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

557×	`times-frac_binary64_1448`
532×	`associate-/l*_binary64_1387`
476×	`div-sub_binary64_1447`
308×	`distribute-rgt-in_binary64_1392`
226×	`distribute-lft-in_binary64_1391`
215×	`associate-/r*_binary64_1386`
169×	`associate-/l/_binary64_1389`
134×	`exp-prod_binary64_1494`
109×	`associate-/r/_binary64_1388`
103×	`distribute-neg-frac_binary64_1406`
100×	`sub-neg_binary64_1435`
98×	`associate-*l/_binary64_1385`
95×	`neg-sub0_binary64_1437`
92×	`neg-mul-1_binary64_1438`
89×	`distribute-rgt-neg-in_binary64_1400` `*-commutative_binary64_1373`
79×	`associate-*r/_binary64_1384`
75×	`log-prod_binary64_1528`
73×	`distribute-neg-in_binary64_1403`
72×	`cube-prod_binary64_1470`
70×	`+-commutative_binary64_1372`
65×	`cancel-sign-sub-inv_binary64_1408`
61×	`distribute-lft-neg-out_binary64_1401`
60×	`log-div_binary64_1529` `cube-div_binary64_1471` `distribute-lft-neg-in_binary64_1399`
53×	`distribute-rgt-neg-out_binary64_1402`
52×	`associate-r_binary64_1382`
49×	`associate-l_binary64_1383`
43×	`distribute-rgt-out_binary64_1395`
38×	`exp-sum_binary64_1488`
28×	`distribute-frac-neg_binary64_1405` `associate-+r+_binary64_1374`
25×	`unsub-neg_binary64_1436` `associate-+l+_binary64_1375`
23×	`*-rgt-identity_binary64_1432`
18×	`exp-diff_binary64_1490` `sqr-pow_binary64_1414`
17×	`*-lft-identity_binary64_1431`
15×	`unswap-sqr_binary64_1410`
14×	`/-rgt-identity_binary64_1433` `associate--r+_binary64_1378`
13×	`distribute-rgt1-in_binary64_1398`
12×	`unpow3_binary64_1508`
11×	`log-rec_binary64_1530`
10×	`distribute-rgt-out--_binary64_1396` `distribute-lft-out_binary64_1393`
8×	`cube-unmult_binary64_1479`
7×	`difference-of-squares_binary64_1411` `swap-sqr_binary64_1409`
6×	`cube-mult_binary64_1472` `mul-1-neg_binary64_1434` `div0_binary64_1423` `distribute-neg-out_binary64_1404` `associate--l+_binary64_1379` `associate-+r-_binary64_1376`
3×	`log-pow_binary64_1531` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `+-rgt-identity_binary64_1427`
2×	`rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `associate-+l-_binary64_1377`
1×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `unpow1_binary64_1500` `div-exp_binary64_1493` `exp-neg_binary64_1489` `1-exp_binary64_1486` `sqr-neg_binary64_1456` `*-inverses_binary64_1422` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `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-neg_binary64_1469` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `cancel-sign-sub_binary64_1407` `count-2_binary64_1390` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

176 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3268
1	589	3153
2	1815	2904
3	4349	2904
4	5633	2904

prune183.0ms (3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	3	160

Error

0.0b

Counts

160 → 3

Compiler

Compiled 3058 to 2143 computations (29.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 1 x))
0.0b	(pow.f64 (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 3))
3.2b	(-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))

rewrite501.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

285×	`*-un-lft-identity_binary64_1442`
132×	`times-frac_binary64_1448`
93×	`add-sqr-sqrt_binary64_1464`
73×	`distribute-lft-out_binary64_1393`
45×	`distribute-lft-out--_binary64_1394`
38×	`cbrt-prod_binary64_1473`
32×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
29×	`add-cube-cbrt_binary64_1477`
26×	`cancel-sign-sub-inv_binary64_1408`
20×	`difference-of-squares_binary64_1411`
7×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`add-log-exp_binary64_1481` `cube-div_binary64_1471`
5×	`pow1_binary64_1503`
4×	`difference-of-sqr--1_binary64_1413` `associate-/r/_binary64_1388` `associate-/r*_binary64_1386`
3×	`frac-sub_binary64_1451` `flip3--_binary64_1446` `flip--_binary64_1417` `cbrt-div_binary64_1474` `pow-unpow_binary64_1519` `associate-/l*_binary64_1387`
2×	`div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441`

Counts

4 → 186

Calls

4 calls:

38.0ms	(-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))
38.0ms	(pow.f64 (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 3)
37.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 3))
5.0ms	(/.f64 x (+.f64 1 x))

Compiler

Compiled 5227 to 4023 computations (23% saved)

series364.0ms (5.9%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

101.0ms	(pow.f64 (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 3)
94.0ms	(-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))
84.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 3))
47.0ms	(/.f64 x (+.f64 1 x))

Compiler

Compiled 1280 to 1121 computations (12.4% saved)

simplify164.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

682×	`distribute-rgt-in_binary64_1392`
358×	`times-frac_binary64_1448`
264×	`unswap-sqr_binary64_1410`
125×	`div-sub_binary64_1447`
105×	`sub-neg_binary64_1435`
100×	`distribute-lft-neg-out_binary64_1401`
98×	`distribute-neg-frac_binary64_1406`
96×	`sqr-pow_binary64_1414`
93×	`distribute-rgt-neg-out_binary64_1402`
90×	`*-commutative_binary64_1373`
89×	`neg-sub0_binary64_1437` `distribute-lft-in_binary64_1391`
86×	`associate-*l/_binary64_1385`
82×	`neg-mul-1_binary64_1438`
72×	`associate-*r/_binary64_1384`
69×	`distribute-rgt-neg-in_binary64_1400` `+-commutative_binary64_1372`
66×	`exp-prod_binary64_1494`
63×	`cancel-sign-sub-inv_binary64_1408`
61×	`associate-r_binary64_1382`
57×	`associate-l_binary64_1383`
56×	`log-prod_binary64_1528`
52×	`associate-/l*_binary64_1387`
48×	`cube-prod_binary64_1470` `distribute-neg-in_binary64_1403`
46×	`distribute-frac-neg_binary64_1405`
45×	`distribute-lft-neg-in_binary64_1399`
39×	`associate-/l/_binary64_1389`
37×	`swap-sqr_binary64_1409`
33×	`associate-/r*_binary64_1386`
30×	`unsub-neg_binary64_1436`
27×	`associate-/r/_binary64_1388`
26×	`associate-+r+_binary64_1374`
24×	`unpow3_binary64_1508` `distribute-rgt-out_binary64_1395` `associate-+l+_binary64_1375`
23×	`*-rgt-identity_binary64_1432`
22×	`cube-mult_binary64_1472`
18×	`rem-cbrt-cube_binary64_1466`
16×	`*-lft-identity_binary64_1431`
15×	`distribute-lft-out_binary64_1393`
11×	`rem-sqrt-square_binary64_1455` `pow-sqr_binary64_1415`
10×	`log-pow_binary64_1531`
9×	`exp-sum_binary64_1488` `associate--r+_binary64_1378`
8×	`pow-plus_binary64_1505` `associate-+r-_binary64_1376`
7×	`cube-unmult_binary64_1479` `/-rgt-identity_binary64_1433` `difference-of-squares_binary64_1411` `associate--l+_binary64_1379`
6×	`div0_binary64_1423` `distribute-neg-out_binary64_1404`
5×	`cube-div_binary64_1471` `+-rgt-identity_binary64_1427` `distribute-rgt1-in_binary64_1398` `distribute-rgt-out--_binary64_1396`
4×	`exp-diff_binary64_1490`
3×	`rem-3cbrt-lft_binary64_1467` `rem-square-sqrt_binary64_1454` `difference-of-sqr--1_binary64_1413`
2×	`log-div_binary64_1529` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `*-inverses_binary64_1422` `difference-of-sqr-1_binary64_1412` `associate--r-_binary64_1381`
1×	`unpow2_binary64_1507` `div-exp_binary64_1493` `1-exp_binary64_1486` `cube-neg_binary64_1469` `rem-cube-cbrt_binary64_1465` `sqr-neg_binary64_1456` `remove-double-neg_binary64_1430` `--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` `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` `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` `rem-3cbrt-rft_binary64_1468` `sqr-abs_binary64_1457` `mul-1-neg_binary64_1434` `sub0-neg_binary64_1429` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `cancel-sign-sub_binary64_1407` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390` `associate--l-_binary64_1380`

Counts

225 → 158

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	5772
1	735	5456
2	2196	5144
3	5203	5144

prune213.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	158	3	161

Error

0.0b

Counts

161 → 3

Compiler

Compiled 3371 to 2498 computations (25.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 3 x))
0.1b	(*.f64 3 (pow.f64 x 3))
10.5b	(+.f64 (+.f64 1 (.f64 x (+.f64 3 x))) (.f64 3 (pow.f64 x 3)))

rewrite108.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_1464`
16×	`associate-r_binary64_1382`
11×	`*-un-lft-identity_binary64_1442`
10×	`add-exp-log_binary64_1480`
9×	`add-cube-cbrt_binary64_1477`
8×	`add-log-exp_binary64_1481`
7×	`add-cbrt-cube_binary64_1478`
6×	`associate-l_binary64_1383`
5×	`pow1_binary64_1503` `unswap-sqr_binary64_1410`
4×	`prod-exp_binary64_1491` `unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
3×	`sum-log_binary64_1533`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `cbrt-unprod_binary64_1475` `sqr-pow_binary64_1414` `-commutative_binary64_1373` `associate-r/_binary64_1384`
1×	`associate-+l+_binary64_1375` `+-commutative_binary64_1372` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow3_binary64_1508` `cube-mult_binary64_1472` `pow-prod-down_binary64_1513` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `distribute-lft-out_binary64_1393`

Counts

3 → 67

Calls

3 calls:

8.0ms	(*.f64 3 (pow.f64 x 3))
6.0ms	(*.f64 x (+.f64 3 x))
6.0ms	(+.f64 (+.f64 1 (.f64 x (+.f64 3 x))) (.f64 3 (pow.f64 x 3)))

Compiler

Compiled 1360 to 1047 computations (23% saved)

series152.0ms (2.5%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

49.0ms	(*.f64 x (+.f64 3 x))
44.0ms	(+.f64 (+.f64 1 (.f64 x (+.f64 3 x))) (.f64 3 (pow.f64 x 3)))
44.0ms	(*.f64 3 (pow.f64 x 3))

Compiler

Compiled 546 to 460 computations (15.8% saved)

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

811×	`distribute-rgt-in_binary64_1392`
774×	`distribute-lft-in_binary64_1391`
237×	`associate-+l+_binary64_1375`
184×	`associate-+r+_binary64_1374`
127×	`cancel-sign-sub-inv_binary64_1408`
122×	`associate-l_binary64_1383`
121×	`log-prod_binary64_1528`
118×	`associate-r_binary64_1382`
102×	`exp-prod_binary64_1494`
78×	`exp-sum_binary64_1488`
76×	`distribute-rgt-neg-in_binary64_1400`
70×	`unswap-sqr_binary64_1410`
67×	`*-commutative_binary64_1373`
62×	`distribute-lft-neg-in_binary64_1399`
47×	`associate--r+_binary64_1378`
40×	`distribute-rgt-out_binary64_1395`
37×	`associate--l+_binary64_1379`
36×	`sqr-pow_binary64_1414`
34×	`cube-prod_binary64_1470`
27×	`+-commutative_binary64_1372`
25×	`sub-neg_binary64_1435`
22×	`unpow3_binary64_1508`
20×	`log-pow_binary64_1531` `swap-sqr_binary64_1409` `distribute-rgt-out--_binary64_1396`
18×	`distribute-neg-in_binary64_1403`
16×	`-rgt-identity_binary64_1432` `-lft-identity_binary64_1431`
14×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
11×	`associate-+r-_binary64_1376`
10×	`pow-plus_binary64_1505`
9×	`distribute-lft-neg-out_binary64_1401`
8×	`associate-+l-_binary64_1377`
7×	`cube-mult_binary64_1472` `unsub-neg_binary64_1436` `pow-sqr_binary64_1415`
6×	`prod-exp_binary64_1491` `associate-/l*_binary64_1387`
5×	`cube-unmult_binary64_1479`
4×	`exp-lft-cube_binary64_1498`
3×	`rem-sqrt-square_binary64_1455` `distribute-rgt1-in_binary64_1398` `distribute-lft-out_binary64_1393`
2×	`unpow1/2_binary64_1506` `distribute-rgt-neg-out_binary64_1402`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `rem-square-sqrt_binary64_1454` `difference-of-squares_binary64_1411` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `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` `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-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` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `times-frac_binary64_1448` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `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` `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_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`

Counts

88 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1162
1	306	1065
2	1048	1053
3	4766	1035
4	4981	1035
5	4971	1035

prune59.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Error

0.0b

Counts

58 → 3

Compiler

Compiled 939 to 681 computations (27.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
0.2b	(/.f64 1 (*.f64 x x))
0.3b	(/.f64 3 (pow.f64 x 3))
6.6b	(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3)))

rewrite407.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

95×	`times-frac_binary64_1448`
83×	`add-sqr-sqrt_binary64_1464`
72×	`*-un-lft-identity_binary64_1442`
57×	`add-cube-cbrt_binary64_1477`
54×	`cancel-sign-sub-inv_binary64_1408`
22×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
20×	`add-exp-log_binary64_1480`
13×	`associate-/r*_binary64_1386`
12×	`pow1_binary64_1503`
11×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `difference-of-squares_binary64_1411`
9×	`div-inv_binary64_1439`
8×	`sqr-pow_binary64_1414` `cube-mult_binary64_1472` `distribute-lft-out--_binary64_1394` `associate--l+_binary64_1379`
7×	`unpow3_binary64_1508` `div-exp_binary64_1493`
6×	`associate-/l*_binary64_1387` `pow-flip_binary64_1516`
5×	`frac-sub_binary64_1451`
4×	`diff-log_binary64_1534`
3×	`flip3--_binary64_1446` `flip--_binary64_1417` `sub-neg_binary64_1435` `cbrt-undiv_binary64_1476` `prod-exp_binary64_1491`
2×	`distribute-rgt-out--_binary64_1396` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `1-exp_binary64_1486` `rec-exp_binary64_1492`
1×	`associate--l-_binary64_1380` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `inv-pow_binary64_1527` `pow2_binary64_1523` `pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-plus_binary64_1505` `pow-sqr_binary64_1415` `cbrt-unprod_binary64_1475`

Counts

4 → 198

Calls

4 calls:

43.0ms	(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3)))
12.0ms	(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
8.0ms	(/.f64 3 (pow.f64 x 3))
5.0ms	(/.f64 1 (*.f64 x x))

Compiler

Compiled 4755 to 3345 computations (29.7% saved)

series246.0ms (4%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

89.0ms	(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3)))
59.0ms	(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
50.0ms	(/.f64 3 (pow.f64 x 3))
31.0ms	(/.f64 1 (*.f64 x x))

Compiler

Compiled 694 to 588 computations (15.3% saved)

simplify153.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64_1410`
277×	`cancel-sign-sub-inv_binary64_1408`
270×	`associate-/r*_binary64_1386`
207×	`exp-prod_binary64_1494`
186×	`div-sub_binary64_1447`
171×	`log-prod_binary64_1528`
151×	`times-frac_binary64_1448`
132×	`sub-neg_binary64_1435` `associate-r_binary64_1382`
131×	`associate-l_binary64_1383` `*-commutative_binary64_1373`
119×	`neg-sub0_binary64_1437`
118×	`associate-*l/_binary64_1385`
112×	`neg-mul-1_binary64_1438`
105×	`associate-*r/_binary64_1384`
97×	`associate-/l*_binary64_1387`
74×	`log-div_binary64_1529`
69×	`cube-prod_binary64_1470`
63×	`unpow3_binary64_1508`
54×	`distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400`
51×	`+-commutative_binary64_1372`
47×	`distribute-neg-frac_binary64_1406`
45×	`cube-div_binary64_1471`
41×	`sqr-pow_binary64_1414`
36×	`swap-sqr_binary64_1409`
35×	`unsub-neg_binary64_1436` `associate-/r/_binary64_1388`
30×	`distribute-lft-neg-in_binary64_1399`
28×	`distribute-rgt-in_binary64_1392`
25×	`associate-/l/_binary64_1389`
23×	`pow-plus_binary64_1505`
22×	`distribute-lft-in_binary64_1391`
20×	`log-pow_binary64_1531`
19×	`associate-+r-_binary64_1376`
15×	`exp-diff_binary64_1490` `exp-sum_binary64_1488` `*-rgt-identity_binary64_1432` `distribute-rgt-neg-out_binary64_1402`
14×	`*-lft-identity_binary64_1431` `distribute-neg-in_binary64_1403`
11×	`exp-lft-cube_binary64_1498` `/-rgt-identity_binary64_1433` `associate-+r+_binary64_1374`
10×	`log-rec_binary64_1530` `cube-unmult_binary64_1479` `cube-mult_binary64_1472`
9×	`rem-sqrt-square_binary64_1455` `associate-+l+_binary64_1375`
8×	`+-rgt-identity_binary64_1427` `difference-of-squares_binary64_1411`
7×	`pow-sqr_binary64_1415`
6×	`distribute-rgt-out_binary64_1395` `associate--r+_binary64_1378` `associate-+l-_binary64_1377`
5×	`div0_binary64_1423`
4×	`rem-square-sqrt_binary64_1454`
3×	`div-exp_binary64_1493` `cube-neg_binary64_1469` `rem-3cbrt-lft_binary64_1467` `sqr-neg_binary64_1456` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `distribute-neg-out_binary64_1404` `associate--l-_binary64_1380`
2×	`+-lft-identity_binary64_1426` `distribute-rgt-out--_binary64_1396` `associate--l+_binary64_1379`
1×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `prod-exp_binary64_1491` `1-exp_binary64_1486` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `distribute-lft-out_binary64_1393` `count-2_binary64_1390` `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` `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-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `rec-exp_binary64_1492` `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` `rem-3cbrt-rft_binary64_1468` `sqr-abs_binary64_1457` `mul-1-neg_binary64_1434` `--rgt-identity_binary64_1428` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `*-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-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394`

Counts

217 → 172

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	288	3312
1	680	3154
2	2704	3089
3	4704	3035
4	4941	3035

prune198.0ms (3.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	171	4	175

Error

Counts

175 → 4

Compiler

Compiled 3281 to 2295 computations (30.1% saved)

regimes308.0ms (5%)

Accuracy

Total 0.0b remaining (51%)

Threshold costs 0.0b (51%)

Compiler

Compiled 2684 to 2113 computations (21.3% saved)

bsearch52.0ms (0.8%)

Steps

Iters	Range		Point
10	1.297196856590918	20894942446.147484	14978.088350211741
10	-370388.44918408175	-1.3685041800830882e-05	-12791.804318799803

Compiler

Compiled 1 to 1 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
15×	`+-commutative_binary64_1372`
13×	`unsub-neg_binary64_1436` `*-commutative_binary64_1373`
11×	`sub-neg_binary64_1435`
9×	`distribute-rgt-neg-out_binary64_1402`
8×	`distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400`
7×	`-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `distribute-lft-neg-in_binary64_1399`
4×	`distribute-neg-in_binary64_1403`
3×	`cancel-sign-sub-inv_binary64_1408`
2×	`distribute-neg-frac_binary64_1406`
1×	`if-if-or-not_binary64_1700` `1-exp_binary64_1486`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `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` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	57
1	47	55
2	70	55
3	88	55
4	123	55
5	126	55
6	128	55
7	124	55

end0.0ms (0%)

sample1.9s (31.4%)

Algorithm

1×

intervals

Results

246.0ms	1964×	body	1024	valid
139.0ms	4285×	body	128	valid
99.0ms	1037×	body	512	valid
33.0ms	193×	body	2048	valid
31.0ms	521×	body	256	valid

Compiler

Compiled 1298 to 1022 computations (21.3% saved)

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19

Details

analyze218.0ms (3.5%)

sample24.0ms (0.4%)

simplify81.0ms (1.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite322.0ms (5.2%)

series195.0ms (3.2%)

simplify140.0ms (2.3%)

prune183.0ms (3%)

localize9.0ms (0.2%)

rewrite501.0ms (8.1%)

series364.0ms (5.9%)

simplify164.0ms (2.7%)

prune213.0ms (3.4%)

localize8.0ms (0.1%)

rewrite108.0ms (1.8%)

series152.0ms (2.5%)

simplify102.0ms (1.7%)

prune59.0ms (1%)

localize9.0ms (0.2%)

rewrite407.0ms (6.6%)

series246.0ms (4%)

simplify153.0ms (2.5%)

prune198.0ms (3.2%)

regimes308.0ms (5%)

bsearch52.0ms (0.8%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.9s (31.4%)

Profiling

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19
0	1	1
1	1	1

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	33	19
4	55	19
5	85	19
6	165	19
7	242	19
8	538	19
9	578	19
10	658	19
11	835	19
12	780	19
13	770	19
14	764	19
15	766	19
16	768	19
17	770	19
18	770	19
19	681	19