Details

analyze728.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Rules

676×	`sub-neg_binary64_1435`
627×	`times-frac_binary64_1448`
614×	`unsub-neg_binary64_1436`
570×	`div-sub_binary64_1447`
462×	`neg-sub0_binary64_1437`
417×	`neg-mul-1_binary64_1438`
396×	`distribute-neg-in_binary64_1403`
267×	`distribute-rgt-in_binary64_1392`
243×	`distribute-neg-out_binary64_1404`
237×	`associate-/l*_binary64_1387`
220×	`distribute-frac-neg_binary64_1405` `+-commutative_binary64_1372`
203×	`distribute-rgt-out--_binary64_1396`
202×	`distribute-lft-in_binary64_1391`
199×	`*-commutative_binary64_1373`
188×	`distribute-rgt-neg-out_binary64_1402`
184×	`distribute-lft-neg-out_binary64_1401`
164×	`associate--r+_binary64_1378`
152×	`distribute-rgt-neg-in_binary64_1400`
144×	`associate-/r*_binary64_1386`
135×	`associate--l+_binary64_1379`
126×	`associate-+r-_binary64_1376`
125×	`associate-+l-_binary64_1377`
124×	`associate--l-_binary64_1380`
120×	`distribute-neg-frac_binary64_1406`
113×	`associate--r-_binary64_1381`
104×	`remove-double-neg_binary64_1430`
97×	`distribute-rgt-out_binary64_1395`
96×	`cancel-sign-sub-inv_binary64_1408`
82×	`distribute-lft-neg-in_binary64_1399`
78×	`associate-l_binary64_1383`
69×	`associate-r_binary64_1382`
64×	`distribute-rgt1-in_binary64_1398`
56×	`associate-/l/_binary64_1389`
52×	`cancel-sign-sub_binary64_1407`
51×	`associate-/r/_binary64_1388`
45×	`associate-+r+_binary64_1374`
40×	`associate-+l+_binary64_1375`
30×	`mul-1-neg_binary64_1434` `distribute-lft-out--_binary64_1394`
27×	`distribute-lft-out_binary64_1393`
26×	`div0_binary64_1423`
24×	`associate-*l/_binary64_1385`
22×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `swap-sqr_binary64_1409`
21×	`/-rgt-identity_binary64_1433`
20×	`*-lft-identity_binary64_1431`
19×	`*-rgt-identity_binary64_1432`
18×	`sqr-neg_binary64_1456` `distribute-lft1-in_binary64_1397`
14×	`sub0-neg_binary64_1429`
12×	`+-rgt-identity_binary64_1427` `associate-*r/_binary64_1384`
9×	`+-lft-identity_binary64_1426`
8×	`--rgt-identity_binary64_1428`
4×	`*-inverses_binary64_1422` `+-inverses_binary64_1421` `remove-double-div_binary64_1418`
1×	`1-exp_binary64_1486` `difference-of-sqr-1_binary64_1412`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow3_binary64_1508` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-prod_binary64_1494` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `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-squares_binary64_1411` `unswap-sqr_binary64_1410` `count-2_binary64_1390`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	24
2	29	24
3	43	24
4	87	24
5	117	24
6	175	24
7	376	24
8	788	24
9	1321	24
10	2683	24
11	3470	24
12	4204	24
13	4847	24
14	4853	24
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	64×	body	1024	valid
6.0ms	144×	body	128	valid
3.0ms	30×	body	512	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

676×	`sub-neg_binary64_1435`
627×	`times-frac_binary64_1448`
614×	`unsub-neg_binary64_1436`
570×	`div-sub_binary64_1447`
462×	`neg-sub0_binary64_1437`
417×	`neg-mul-1_binary64_1438`
396×	`distribute-neg-in_binary64_1403`
267×	`distribute-rgt-in_binary64_1392`
243×	`distribute-neg-out_binary64_1404`
237×	`associate-/l*_binary64_1387`
220×	`distribute-frac-neg_binary64_1405` `+-commutative_binary64_1372`
203×	`distribute-rgt-out--_binary64_1396`
202×	`distribute-lft-in_binary64_1391`
199×	`*-commutative_binary64_1373`
188×	`distribute-rgt-neg-out_binary64_1402`
184×	`distribute-lft-neg-out_binary64_1401`
164×	`associate--r+_binary64_1378`
152×	`distribute-rgt-neg-in_binary64_1400`
144×	`associate-/r*_binary64_1386`
135×	`associate--l+_binary64_1379`
126×	`associate-+r-_binary64_1376`
125×	`associate-+l-_binary64_1377`
124×	`associate--l-_binary64_1380`
120×	`distribute-neg-frac_binary64_1406`
113×	`associate--r-_binary64_1381`
104×	`remove-double-neg_binary64_1430`
97×	`distribute-rgt-out_binary64_1395`
96×	`cancel-sign-sub-inv_binary64_1408`
82×	`distribute-lft-neg-in_binary64_1399`
78×	`associate-l_binary64_1383`
69×	`associate-r_binary64_1382`
64×	`distribute-rgt1-in_binary64_1398`
56×	`associate-/l/_binary64_1389`
52×	`cancel-sign-sub_binary64_1407`
51×	`associate-/r/_binary64_1388`
45×	`associate-+r+_binary64_1374`
40×	`associate-+l+_binary64_1375`
30×	`mul-1-neg_binary64_1434` `distribute-lft-out--_binary64_1394`
27×	`distribute-lft-out_binary64_1393`
26×	`div0_binary64_1423`
24×	`associate-*l/_binary64_1385`
22×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `swap-sqr_binary64_1409`
21×	`/-rgt-identity_binary64_1433`
20×	`*-lft-identity_binary64_1431`
19×	`*-rgt-identity_binary64_1432`
18×	`sqr-neg_binary64_1456` `distribute-lft1-in_binary64_1397`
14×	`sub0-neg_binary64_1429`
12×	`+-rgt-identity_binary64_1427` `associate-*r/_binary64_1384`
9×	`+-lft-identity_binary64_1426`
8×	`--rgt-identity_binary64_1428`
4×	`*-inverses_binary64_1422` `+-inverses_binary64_1421` `remove-double-div_binary64_1418`
1×	`1-exp_binary64_1486` `difference-of-sqr-1_binary64_1412`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow3_binary64_1508` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-prod_binary64_1494` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `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-squares_binary64_1411` `unswap-sqr_binary64_1410` `count-2_binary64_1390`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	24
2	29	24
3	43	24
4	87	24
5	117	24
6	175	24
7	376	24
8	788	24
9	1321	24
10	2683	24
11	3470	24
12	4204	24
13	4847	24
14	4853	24

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

0.4b

Counts

1 → 1

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite209.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_1464`
27×	`*-un-lft-identity_binary64_1442`
22×	`add-cube-cbrt_binary64_1477`
18×	`pow1_binary64_1503`
15×	`times-frac_binary64_1448`
10×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `difference-of-squares_binary64_1411`
8×	`tan-quot_binary64_1601`
6×	`add-log-exp_binary64_1481` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
5×	`associate-/l*_binary64_1387`
3×	`associate-/r*_binary64_1386`
2×	`pow2_binary64_1523` `pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-times_binary64_1452` `pow-sqr_binary64_1415` `unswap-sqr_binary64_1410` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373` `flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417` `associate-/r/_binary64_1388`
1×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `diff-log_binary64_1534` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`

Counts

4 → 110

Calls

4 calls:

7.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 2625 to 1007 computations (61.6% saved)

series549.0ms (5.2%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

275.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
88.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
79.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
78.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1044 to 767 computations (26.5% saved)

simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

548×	`cancel-sign-sub-inv_binary64_1408`
292×	`associate-l_binary64_1383`
243×	`associate-r_binary64_1382`
212×	`unswap-sqr_binary64_1410`
184×	`exp-prod_binary64_1494`
154×	`div-sub_binary64_1447` `associate-/l*_binary64_1387`
153×	`sub-neg_binary64_1435`
144×	`log-prod_binary64_1528`
118×	`times-frac_binary64_1448` `distribute-neg-frac_binary64_1406`
113×	`distribute-rgt-in_binary64_1392`
112×	`associate-/r*_binary64_1386`
92×	`distribute-lft-in_binary64_1391`
80×	`*-commutative_binary64_1373`
77×	`unsub-neg_binary64_1436`
75×	`distribute-rgt-neg-in_binary64_1400`
71×	`sqr-pow_binary64_1414`
68×	`neg-sub0_binary64_1437`
65×	`associate-/r/_binary64_1388` `associate-+l+_binary64_1375` `+-commutative_binary64_1372`
63×	`neg-mul-1_binary64_1438` `distribute-lft-neg-in_binary64_1399`
61×	`associate-/l/_binary64_1389` `associate-*l/_binary64_1385`
49×	`cube-prod_binary64_1470`
46×	`log-div_binary64_1529` `associate-+r+_binary64_1374`
44×	`swap-sqr_binary64_1409`
36×	`associate-*r/_binary64_1384`
33×	`unpow3_binary64_1508`
32×	`*-lft-identity_binary64_1431`
30×	`*-rgt-identity_binary64_1432`
28×	`pow-plus_binary64_1505`
25×	`associate-+l-_binary64_1377`
23×	`associate--r+_binary64_1378`
21×	`cube-div_binary64_1471`
19×	`distribute-neg-in_binary64_1403`
18×	`/-rgt-identity_binary64_1433`
17×	`associate--l+_binary64_1379`
16×	`exp-sum_binary64_1488` `sub0-neg_binary64_1429`
15×	`distribute-rgt-out_binary64_1395`
14×	`cube-unmult_binary64_1479`
12×	`pow-sqr_binary64_1415` `distribute-lft-neg-out_binary64_1401`
11×	`difference-of-sqr-1_binary64_1412`
10×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `associate-+r-_binary64_1376`
9×	`log-pow_binary64_1531` `log-rec_binary64_1530`
7×	`exp-diff_binary64_1490` `rem-sqrt-square_binary64_1455` `+-rgt-identity_binary64_1427` `distribute-lft-out_binary64_1393`
6×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `distribute-rgt1-in_binary64_1398`
5×	`distribute-rgt-neg-out_binary64_1402`
4×	`cube-mult_binary64_1472`
3×	`unpow1_binary64_1500` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `remove-double-div_binary64_1418`
2×	`difference-of-sqr--1_binary64_1413` `count-2_binary64_1390` `associate--l-_binary64_1380`
1×	`div-exp_binary64_1493` `exp-neg_binary64_1489` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `cancel-sign-sub_binary64_1407` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `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-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-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `difference-of-squares_binary64_1411` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404`

Counts

134 → 109

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	2714
1	338	2463
2	893	2441
3	2856	2427
4	4792	2173
5	4936	2173

prune179.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	97	12	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	12	110

Error

0.0b

Counts

110 → 12

Compiler

Compiled 2480 to 1490 computations (39.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 1 (tan.f64 x))
0.2b	(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x)))
0.2b	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
0.3b	(pow.f64 (tan.f64 x) 2)

rewrite583.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

317×	`*-un-lft-identity_binary64_1442`
264×	`times-frac_binary64_1448`
179×	`add-sqr-sqrt_binary64_1464`
104×	`add-cube-cbrt_binary64_1477`
69×	`distribute-lft-out_binary64_1393`
50×	`difference-of-squares_binary64_1411`
36×	`associate-/r*_binary64_1386`
25×	`distribute-lft-out--_binary64_1394`
13×	`associate-/r/_binary64_1388`
12×	`add-exp-log_binary64_1480`
11×	`add-cbrt-cube_binary64_1478`
8×	`associate-/l*_binary64_1387`
7×	`div-inv_binary64_1439`
6×	`add-log-exp_binary64_1481` `flip3--_binary64_1446` `flip--_binary64_1417`
5×	`pow1_binary64_1503`
4×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389`
3×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 251

Calls

4 calls:

20.0ms	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
13.0ms	(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x)))
3.0ms	(+.f64 1 (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 7790 to 5246 computations (32.7% saved)

series677.0ms (6.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

328.0ms	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
182.0ms	(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x)))
91.0ms	(pow.f64 (tan.f64 x) 2)
47.0ms	(+.f64 1 (tan.f64 x))

Compiler

Compiled 1066 to 783 computations (26.5% saved)

simplify301.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64_1448`
444×	`associate-/r/_binary64_1388`
390×	`distribute-rgt-in_binary64_1392`
380×	`associate-/l/_binary64_1389`
336×	`distribute-lft-in_binary64_1391`
129×	`associate-*l/_binary64_1385`
125×	`neg-mul-1_binary64_1438`
124×	`*-commutative_binary64_1373`
86×	`cancel-sign-sub-inv_binary64_1408`
72×	`associate-/l*_binary64_1387`
68×	`log-prod_binary64_1528`
63×	`div-sub_binary64_1447`
61×	`unswap-sqr_binary64_1410` `associate-r_binary64_1382`
59×	`cube-prod_binary64_1470`
58×	`associate-*r/_binary64_1384`
57×	`exp-prod_binary64_1494` `associate-l_binary64_1383` `+-commutative_binary64_1372`
55×	`sqr-pow_binary64_1414`
51×	`sub-neg_binary64_1435`
50×	`*-rgt-identity_binary64_1432`
44×	`distribute-lft-neg-out_binary64_1401`
43×	`distribute-rgt-neg-in_binary64_1400`
40×	`distribute-rgt-neg-out_binary64_1402`
38×	`distribute-lft-neg-in_binary64_1399`
36×	`*-lft-identity_binary64_1431`
32×	`associate-/r*_binary64_1386`
29×	`associate-+r+_binary64_1374`
25×	`associate-+l+_binary64_1375`
24×	`neg-sub0_binary64_1437`
19×	`distribute-rgt-out_binary64_1395`
17×	`rem-sqrt-square_binary64_1455`
15×	`cube-unmult_binary64_1479`
13×	`distribute-neg-frac_binary64_1406`
12×	`pow-plus_binary64_1505`
11×	`log-pow_binary64_1531` `distribute-neg-in_binary64_1403`
10×	`log-div_binary64_1529` `unpow3_binary64_1508` `exp-sum_binary64_1488`
9×	`unpow1/2_binary64_1506` `pow-sqr_binary64_1415` `distribute-rgt-out--_binary64_1396`
8×	`/-rgt-identity_binary64_1433` `associate--r+_binary64_1378`
7×	`unpow2_binary64_1507` `unpow1_binary64_1500` `unsub-neg_binary64_1436` `swap-sqr_binary64_1409` `distribute-lft-out_binary64_1393` `associate--l+_binary64_1379`
6×	`distribute-rgt1-in_binary64_1398`
5×	`cube-div_binary64_1471`
4×	`cube-mult_binary64_1472` `remove-double-div_binary64_1418` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411`
2×	`exp-diff_binary64_1490` `exp-neg_binary64_1489` `remove-double-neg_binary64_1430` `*-inverses_binary64_1422` `associate--r-_binary64_1381` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `div0_binary64_1423` `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` `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` `div-exp_binary64_1493` `rec-exp_binary64_1492` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `mul-1-neg_binary64_1434` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-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` `difference-of-sqr--1_binary64_1413` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `count-2_binary64_1390` `associate--l-_binary64_1380`

Counts

275 → 200

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	9908
1	720	9562
2	2219	9496
3	4630	9496
4	4993	9496

prune379.0ms (3.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	198	14	212

Error

0.0b

Counts

212 → 14

Compiler

Compiled 5764 to 3793 computations (34.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.2b	(*.f64 (sin.f64 x) (tan.f64 x))
0.2b	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite177.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`add-sqr-sqrt_binary64_1464`
35×	`*-un-lft-identity_binary64_1442`
23×	`add-cube-cbrt_binary64_1477`
21×	`times-frac_binary64_1448`
15×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
13×	`pow1_binary64_1503`
8×	`difference-of-squares_binary64_1411`
7×	`associate-/l*_binary64_1387`
6×	`tan-quot_binary64_1601` `associate-l_binary64_1383` `associate-r_binary64_1382` `associate-/r*_binary64_1386`
4×	`add-log-exp_binary64_1481` `distribute-lft-out--_binary64_1394`
3×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `swap-sqr_binary64_1409` `associate-*r/_binary64_1384` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389`
2×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r/_binary64_1388`
1×	`pow2_binary64_1523` `pow-prod-up_binary64_1512` `pow-plus_binary64_1505` `frac-times_binary64_1452` `pow-sqr_binary64_1415` `associate-*l/_binary64_1385` `div-sub_binary64_1447` `flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 113

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
6.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
5.0ms	(*.f64 (sin.f64 x) (tan.f64 x))

Compiler

Compiled 3201 to 1076 computations (66.4% saved)

series655.0ms (6.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

331.0ms	(/.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
124.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
90.0ms	(*.f64 (sin.f64 x) (tan.f64 x))
80.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1160 to 827 computations (28.7% saved)

simplify357.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

343×	`associate-/r*_binary64_1386`
326×	`associate-*l/_binary64_1385`
323×	`associate-/l/_binary64_1389`
251×	`associate-/r/_binary64_1388`
250×	`associate-*r/_binary64_1384`
214×	`*-commutative_binary64_1373`
182×	`div-sub_binary64_1447`
141×	`sub-neg_binary64_1435`
133×	`log-prod_binary64_1528`
129×	`distribute-rgt-in_binary64_1392`
120×	`log-div_binary64_1529`
112×	`cube-div_binary64_1471`
109×	`distribute-lft-in_binary64_1391`
105×	`exp-prod_binary64_1494`
104×	`associate-/l*_binary64_1387`
100×	`sqr-pow_binary64_1414`
97×	`associate-l_binary64_1383`
91×	`associate-+l+_binary64_1375`
89×	`associate-r_binary64_1382`
79×	`+-commutative_binary64_1372`
77×	`*-rgt-identity_binary64_1432`
73×	`cube-prod_binary64_1470`
72×	`associate-+r+_binary64_1374`
69×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
68×	`cancel-sign-sub-inv_binary64_1408`
55×	`times-frac_binary64_1448` `*-lft-identity_binary64_1431` `distribute-rgt-neg-in_binary64_1400`
53×	`distribute-neg-frac_binary64_1406`
51×	`unswap-sqr_binary64_1410`
48×	`unpow3_binary64_1508`
44×	`unsub-neg_binary64_1436` `distribute-lft-neg-in_binary64_1399`
43×	`cube-mult_binary64_1472`
24×	`/-rgt-identity_binary64_1433` `associate-+l-_binary64_1377`
23×	`associate--l+_binary64_1379`
21×	`log-rec_binary64_1530`
18×	`pow-sqr_binary64_1415`
17×	`pow-plus_binary64_1505`
15×	`exp-diff_binary64_1490`
14×	`log-pow_binary64_1531`
13×	`swap-sqr_binary64_1409`
11×	`cube-unmult_binary64_1479` `associate-+r-_binary64_1376`
9×	`sub0-neg_binary64_1429` `distribute-lft-neg-out_binary64_1401` `distribute-rgt-out_binary64_1395` `associate--l-_binary64_1380` `associate--r+_binary64_1378`
8×	`unpow1/2_binary64_1506`
7×	`exp-sum_binary64_1488` `rem-sqrt-square_binary64_1455` `+-rgt-identity_binary64_1427` `distribute-lft-out_binary64_1393`
6×	`unpow2_binary64_1507` `distribute-neg-in_binary64_1403`
5×	`distribute-rgt1-in_binary64_1398`
4×	`remove-double-neg_binary64_1430` `distribute-rgt-neg-out_binary64_1402`
3×	`unpow1_binary64_1500` `div0_binary64_1423` `remove-double-div_binary64_1418`
2×	`count-2_binary64_1390`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `+-inverses_binary64_1421` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `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-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `mul-1-neg_binary64_1434` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `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-lft1-in_binary64_1397`

Counts

137 → 99

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	200	3417
1	465	3126
2	1423	3115
3	3929	3108
4	4711	2962
5	4949	2962

prune159.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	98	15	113

Error

0.0b

Counts

113 → 15

Compiler

Compiled 2880 to 1391 computations (51.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 x) (tan.f64 x))
0.2b	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
0.2b	(pow.f64 (sin.f64 x) 2)
0.2b	(pow.f64 (cos.f64 x) 2)

rewrite135.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_1464`
13×	`add-exp-log_binary64_1480`
12×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`add-cbrt-cube_binary64_1478`
8×	`pow1_binary64_1503`
6×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519`
4×	`add-log-exp_binary64_1481`
3×	`times-frac_binary64_1448` `associate-/r_binary64_1386` `associate-l_binary64_1383` `associate-r*_binary64_1382`
2×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `prod-exp_binary64_1491` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `tan-quot_binary64_1601` `associate-*r/_binary64_1384`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l/_binary64_1389` `associate-/l_binary64_1387` `pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410` `-commutative_binary64_1373`

Counts

4 → 77

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
6.0ms	(*.f64 (sin.f64 x) (tan.f64 x))
3.0ms	(pow.f64 (sin.f64 x) 2)
3.0ms	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 2126 to 1027 computations (51.7% saved)

series327.0ms (3.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

127.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
84.0ms	(*.f64 (sin.f64 x) (tan.f64 x))
44.0ms	(pow.f64 (sin.f64 x) 2)
40.0ms	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 1438 to 1024 computations (28.8% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

523×	`associate-l_binary64_1383`
401×	`associate-r_binary64_1382`
302×	`associate-*l/_binary64_1385`
295×	`associate-/r*_binary64_1386`
284×	`associate-/l/_binary64_1389`
209×	`associate-*r/_binary64_1384`
178×	`associate-/r/_binary64_1388`
176×	`log-prod_binary64_1528`
156×	`cube-prod_binary64_1470`
134×	`exp-prod_binary64_1494`
125×	`*-commutative_binary64_1373`
121×	`log-div_binary64_1529`
117×	`cube-div_binary64_1471`
75×	`associate-/l*_binary64_1387`
67×	`cancel-sign-sub-inv_binary64_1408`
66×	`unswap-sqr_binary64_1410`
64×	`+-commutative_binary64_1372`
63×	`associate-+l+_binary64_1375`
61×	`sqr-pow_binary64_1414`
54×	`times-frac_binary64_1448`
49×	`associate-+r+_binary64_1374`
38×	`sub-neg_binary64_1435`
35×	`associate--l+_binary64_1379`
33×	`distribute-rgt-neg-in_binary64_1400`
31×	`distribute-lft-neg-in_binary64_1399`
29×	`pow-plus_binary64_1505`
26×	`cube-unmult_binary64_1479` `associate-+l-_binary64_1377`
22×	`log-pow_binary64_1531`
18×	`unpow3_binary64_1508` `associate-+r-_binary64_1376`
17×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `pow-sqr_binary64_1415`
16×	`associate--r+_binary64_1378`
15×	`cube-mult_binary64_1472`
14×	`*-rgt-identity_binary64_1432`
13×	`log-rec_binary64_1530` `distribute-rgt-in_binary64_1392`
11×	`swap-sqr_binary64_1409`
10×	`unpow1/2_binary64_1506` `/-rgt-identity_binary64_1433`
9×	`unpow2_binary64_1507` `unpow1_binary64_1500` `*-lft-identity_binary64_1431`
8×	`unsub-neg_binary64_1436` `distribute-neg-frac_binary64_1406` `associate--l-_binary64_1380`
6×	`distribute-lft-out_binary64_1393`
5×	`distribute-neg-in_binary64_1403` `distribute-rgt-out_binary64_1395` `distribute-lft-in_binary64_1391`
4×	`rem-sqrt-square_binary64_1455`
3×	`distribute-rgt1-in_binary64_1398`
2×	`rem-3cbrt-rft_binary64_1468` `rem-square-sqrt_binary64_1454` `distribute-lft-neg-out_binary64_1401`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `div-sub_binary64_1447` `distribute-rgt-neg-out_binary64_1402` `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` `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-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `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` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `count-2_binary64_1390` `associate--r-_binary64_1381`

Counts

101 → 53

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1334
1	326	1135
2	1045	1129
3	4231	1129
4	5099	1129

prune67.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	53	15	68

Error

0.0b

Counts

68 → 15

Compiler

Compiled 1349 to 699 computations (48.2% saved)

regimes1.2s (11.1%)

Accuracy

Total 0.3b remaining (90.8%)

Threshold costs 0.3b (90.8%)

Compiler

Compiled 13254 to 8563 computations (35.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	18	22
2	24	22
3	28	22
4	30	22
5	29	22

end0.0ms (0%)

sample3.4s (32.6%)

Algorithm

1×

intervals

Results

327.0ms	2019×	body	1024	valid
184.0ms	4574×	body	128	valid
115.0ms	932×	body	512	valid
38.0ms	471×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 3095 to 2033 computations (34.3% saved)

Details

analyze728.0ms (7%)

sample29.0ms (0.3%)

simplify108.0ms (1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite209.0ms (2%)

series549.0ms (5.2%)

simplify141.0ms (1.4%)

prune179.0ms (1.7%)

localize9.0ms (0.1%)

rewrite583.0ms (5.6%)

series677.0ms (6.5%)

simplify301.0ms (2.9%)

prune379.0ms (3.6%)

localize12.0ms (0.1%)

rewrite177.0ms (1.7%)

series655.0ms (6.3%)

simplify357.0ms (3.4%)

prune159.0ms (1.5%)

localize15.0ms (0.1%)

rewrite135.0ms (1.3%)

series327.0ms (3.1%)

simplify83.0ms (0.8%)

prune67.0ms (0.6%)

regimes1.2s (11.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (32.6%)

Profiling