Details

analyze347.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

511×	`unsub-neg_binary64_1436`
501×	`sub-neg_binary64_1435`
352×	`associate--l+_binary64_1379`
328×	`associate-+l+_binary64_1375`
312×	`neg-mul-1_binary64_1438`
308×	`neg-sub0_binary64_1437`
296×	`associate-+r+_binary64_1374`
251×	`associate-l_binary64_1383`
245×	`distribute-rgt-neg-in_binary64_1400`
243×	`distribute-rgt-in_binary64_1392`
232×	`distribute-rgt-out_binary64_1395`
217×	`associate-r_binary64_1382`
205×	`distribute-neg-in_binary64_1403`
185×	`distribute-lft-in_binary64_1391`
179×	`*-commutative_binary64_1373`
144×	`associate-+l-_binary64_1377`
131×	`+-commutative_binary64_1372`
101×	`distribute-lft-neg-out_binary64_1401`
92×	`associate-+r-_binary64_1376`
88×	`distribute-rgt-neg-out_binary64_1402`
84×	`unswap-sqr_binary64_1410`
81×	`cancel-sign-sub-inv_binary64_1408`
58×	`associate--r+_binary64_1378`
40×	`*-rgt-identity_binary64_1432`
36×	`cancel-sign-sub_binary64_1407`
28×	`distribute-lft-out_binary64_1393`
27×	`*-lft-identity_binary64_1431`
23×	`remove-double-neg_binary64_1430`
22×	`associate--r-_binary64_1381`
20×	`sub0-neg_binary64_1429` `sqr-pow_binary64_1414` `distribute-lft-neg-in_binary64_1399`
16×	`+-rgt-identity_binary64_1427`
10×	`pow-plus_binary64_1505`
8×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `difference-of-sqr--1_binary64_1413`
6×	`cube-unmult_binary64_1479` `difference-of-squares_binary64_1411` `swap-sqr_binary64_1409` `distribute-lft1-in_binary64_1397`
5×	`unpow2_binary64_1507` `rem-sqrt-square_binary64_1455` `difference-of-sqr-1_binary64_1412`
3×	`unpow3_binary64_1508` `mul-1-neg_binary64_1434`
2×	`cube-prod_binary64_1470` `--rgt-identity_binary64_1428` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398`
1×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `1-exp_binary64_1486` `pow-sqr_binary64_1415`
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` `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` `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-mult_binary64_1472` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `/-rgt-identity_binary64_1433` `+-lft-identity_binary64_1426` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-*r/_binary64_1384` `associate--l-_binary64_1380`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	86
1	90	86
2	258	86
3	660	86
4	1912	86
5	3405	86
6	4573	86
7	4994	86
8	5000	86
9	4923	86
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

705×	`unsub-neg_binary64_1436`
556×	`cancel-sign-sub-inv_binary64_1408`
344×	`+-commutative_binary64_1372`
342×	`distribute-rgt-in_binary64_1392`
317×	`sub-neg_binary64_1435`
271×	`associate-l_binary64_1383`
266×	`distribute-rgt-neg-in_binary64_1400`
248×	`distribute-lft-in_binary64_1391`
233×	`neg-sub0_binary64_1437`
226×	`neg-mul-1_binary64_1438`
213×	`associate-r_binary64_1382`
206×	`distribute-lft-neg-in_binary64_1399`
185×	`associate--l+_binary64_1379`
173×	`associate-+l+_binary64_1375`
162×	`unswap-sqr_binary64_1410`
155×	`distribute-rgt-out_binary64_1395`
153×	`distribute-neg-in_binary64_1403`
151×	`associate-+r+_binary64_1374`
102×	`*-commutative_binary64_1373`
76×	`distribute-lft-out_binary64_1393`
73×	`associate-+l-_binary64_1377`
64×	`distribute-lft-neg-out_binary64_1401`
48×	`associate-+r-_binary64_1376`
45×	`difference-of-sqr--1_binary64_1413`
44×	`remove-double-neg_binary64_1430`
43×	`distribute-rgt-neg-out_binary64_1402`
41×	`*-rgt-identity_binary64_1432`
38×	`associate--r+_binary64_1378`
31×	`sqr-pow_binary64_1414`
29×	`*-lft-identity_binary64_1431`
16×	`cube-prod_binary64_1470`
13×	`pow-plus_binary64_1505`
11×	`sub0-neg_binary64_1429` `associate--r-_binary64_1381`
9×	`mul-1-neg_binary64_1434` `+-rgt-identity_binary64_1427` `distribute-rgt-out--_binary64_1396`
7×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `distribute-lft1-in_binary64_1397`
6×	`unpow3_binary64_1508` `cube-unmult_binary64_1479` `swap-sqr_binary64_1409` `distribute-rgt1-in_binary64_1398`
5×	`unpow2_binary64_1507` `sqr-neg_binary64_1456` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`difference-of-squares_binary64_1411`
3×	`unpow1_binary64_1500` `cube-neg_binary64_1469` `rem-sqrt-square_binary64_1455` `pow-sqr_binary64_1415`
2×	`cube-mult_binary64_1472`
1×	`unpow1/2_binary64_1506` `1-exp_binary64_1486` `--rgt-identity_binary64_1428` `cancel-sign-sub_binary64_1407` `distribute-neg-out_binary64_1404`
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` `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` `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-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `/-rgt-identity_binary64_1433` `+-lft-identity_binary64_1426` `div0_binary64_1423` `-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-*r/_binary64_1384` `associate--l-_binary64_1380`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	43
1	55	43
2	150	43
3	389	43
4	1083	43
5	2231	43
6	4328	43
7	4714	43
8	4915	43

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite191.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
14×	`add-cbrt-cube_binary64_1478`
10×	`add-cube-cbrt_binary64_1477` `associate-r_binary64_1382`
6×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `cancel-sign-sub-inv_binary64_1408`
4×	`associate-*r/_binary64_1384`
3×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519`
2×	`unswap-sqr_binary64_1410` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-l_binary64_1383` `*-commutative_binary64_1373` `sub-neg_binary64_1435` `difference-of-squares_binary64_1411` `associate-+r+_binary64_1374`
1×	`distribute-lft-out_binary64_1393` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `flip3--_binary64_1446` `flip--_binary64_1417` `distribute-lft-out--_binary64_1394` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series1.1s (10.7%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

570.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
285.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
123.0ms	(.f64 (.f64 b b) (+.f64 3 a))
63.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3658 to 2730 computations (25.4% saved)

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-+l+_binary64_1375`
345×	`associate-+r+_binary64_1374`
267×	`associate-l_binary64_1383`
224×	`exp-prod_binary64_1494`
217×	`associate-r_binary64_1382` `+-commutative_binary64_1372`
212×	`cancel-sign-sub-inv_binary64_1408`
148×	`associate--l+_binary64_1379`
139×	`neg-mul-1_binary64_1438`
138×	`neg-sub0_binary64_1437`
136×	`*-commutative_binary64_1373`
117×	`distribute-rgt-out_binary64_1395`
107×	`distribute-rgt-in_binary64_1392`
106×	`exp-sum_binary64_1488`
101×	`distribute-lft-in_binary64_1391`
99×	`log-prod_binary64_1528`
97×	`unswap-sqr_binary64_1410`
69×	`distribute-rgt-neg-in_binary64_1400`
67×	`distribute-lft-out_binary64_1393`
66×	`sqr-pow_binary64_1414`
59×	`cube-prod_binary64_1470`
58×	`distribute-lft-neg-in_binary64_1399`
51×	`associate--r+_binary64_1378`
45×	`distribute-lft-neg-out_binary64_1401`
43×	`sub-neg_binary64_1435` `distribute-rgt-neg-out_binary64_1402`
39×	`distribute-neg-in_binary64_1403`
29×	`log-pow_binary64_1531`
28×	`associate-+r-_binary64_1376`
27×	`*-lft-identity_binary64_1431`
26×	`associate-+l-_binary64_1377`
22×	`exp-diff_binary64_1490` `*-rgt-identity_binary64_1432`
20×	`swap-sqr_binary64_1409` `distribute-rgt-out--_binary64_1396`
18×	`cube-unmult_binary64_1479`
17×	`pow-plus_binary64_1505`
16×	`unsub-neg_binary64_1436`
15×	`unpow3_binary64_1508` `rem-sqrt-square_binary64_1455`
13×	`exp-neg_binary64_1489`
12×	`pow-sqr_binary64_1415`
10×	`cube-mult_binary64_1472`
8×	`unpow1/2_binary64_1506`
7×	`unpow2_binary64_1507` `div-sub_binary64_1447` `distribute-lft-out--_binary64_1394`
6×	`unpow1_binary64_1500`
4×	`difference-of-squares_binary64_1411`
3×	`associate-/l/_binary64_1389` `associate-*r/_binary64_1384`
2×	`exp-lft-cube_binary64_1498` `rem-square-sqrt_binary64_1454` `count-2_binary64_1390`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `mul-1-neg_binary64_1434` `distribute-rgt1-in_binary64_1398` `associate-/r/_binary64_1388` `associate-/l*_binary64_1387`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `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` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `times-frac_binary64_1448` `/-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` `distribute-lft1-in_binary64_1397` `associate-/r_binary64_1386` `associate-*l/_binary64_1385` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

141 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2929
1	585	2618
2	1868	2522
3	4253	2518
4	4980	2518
5	4962	2518

prune198.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Error

0.0b

Counts

117 → 3

Compiler

Compiled 3834 to 2002 computations (47.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.4b	(.f64 a (.f64 b b))
0.5b	(.f64 (.f64 b b) (+.f64 3 a))
0.9b	(.f64 a (.f64 a (*.f64 b b)))

rewrite244.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
16×	`add-sqr-sqrt_binary64_1464`
15×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-un-lft-identity_binary64_1442`
12×	`associate-r_binary64_1382`
10×	`add-cube-cbrt_binary64_1477`
8×	`associate-l_binary64_1383`
6×	`cancel-sign-sub-inv_binary64_1408`
5×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
4×	`add-log-exp_binary64_1481` `-commutative_binary64_1373` `associate-r/_binary64_1384`
3×	`unswap-sqr_binary64_1410`
2×	`sub-neg_binary64_1435` `difference-of-squares_binary64_1411`
1×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `flip3--_binary64_1446` `flip--_binary64_1417` `distribute-lft-out--_binary64_1394`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series487.0ms (4.6%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

135.0ms	(.f64 (.f64 b b) (+.f64 3 a))
129.0ms	(.f64 a (.f64 a (*.f64 b b)))
90.0ms	(.f64 a (.f64 b b))
83.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2783 to 1984 computations (28.7% saved)

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

415×	`distribute-rgt-in_binary64_1392`
398×	`distribute-lft-in_binary64_1391`
319×	`associate-l_binary64_1383`
267×	`exp-prod_binary64_1494` `associate-r_binary64_1382`
216×	`unsub-neg_binary64_1436`
214×	`distribute-rgt-neg-out_binary64_1402`
208×	`distribute-lft-neg-out_binary64_1401`
156×	`unswap-sqr_binary64_1410`
141×	`*-commutative_binary64_1373`
126×	`sqr-pow_binary64_1414`
122×	`log-prod_binary64_1528`
89×	`cube-prod_binary64_1470`
70×	`distribute-rgt-neg-in_binary64_1400`
68×	`*-lft-identity_binary64_1431`
65×	`swap-sqr_binary64_1409`
64×	`*-rgt-identity_binary64_1432`
60×	`distribute-lft-neg-in_binary64_1399`
54×	`exp-neg_binary64_1489`
53×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
43×	`exp-sum_binary64_1488`
36×	`exp-diff_binary64_1490`
33×	`unpow3_binary64_1508`
31×	`sub-neg_binary64_1435`
29×	`pow-sqr_binary64_1415`
28×	`+-commutative_binary64_1372`
27×	`cube-mult_binary64_1472`
26×	`associate-+l+_binary64_1375`
25×	`cancel-sign-sub-inv_binary64_1408` `associate-+r+_binary64_1374`
17×	`pow-plus_binary64_1505`
15×	`cube-unmult_binary64_1479`
13×	`log-pow_binary64_1531`
12×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
11×	`unpow1/2_binary64_1506` `distribute-rgt-out_binary64_1395`
7×	`difference-of-squares_binary64_1411` `associate-/l*_binary64_1387`
5×	`div-sub_binary64_1447` `sub0-neg_binary64_1429` `associate-+l-_binary64_1377`
4×	`rem-sqrt-square_binary64_1455` `distribute-neg-in_binary64_1403` `distribute-lft-out_binary64_1393`
3×	`difference-of-sqr-1_binary64_1412` `distribute-rgt-out--_binary64_1396` `associate-+r-_binary64_1376`
2×	`unpow2_binary64_1507` `unpow1_binary64_1500` `exp-lft-cube_binary64_1498` `+-rgt-identity_binary64_1427` `count-2_binary64_1390`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `distribute-rgt1-in_binary64_1398`
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` `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-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `times-frac_binary64_1448` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `--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` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378`

Counts

123 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1537
1	392	1286
2	1326	1251
3	3314	1229
4	4565	1229
5	4989	1229
6	4929	1229

prune180.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Error

0.0b

Counts

104 → 3

Compiler

Compiled 4009 to 2256 computations (43.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 a (+.f64 4 (.f64 2 a)))
0.0b	(+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12))))
0.0b	(.f64 4 (.f64 a a))
1.4b	(.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12)))

rewrite191.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
12×	`add-sqr-sqrt_binary64_1464` `associate-*r/_binary64_1384`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481`
4×	`frac-add_binary64_1450`
3×	`unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `*-commutative_binary64_1373`
2×	`associate-+r+_binary64_1374`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 81

Calls

4 calls:

14.0ms	(.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12)))
7.0ms	(+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12))))
6.0ms	(.f64 a (+.f64 4 (.f64 2 a)))
6.0ms	(.f64 4 (.f64 a a))

Compiler

Compiled 3124 to 1860 computations (40.5% saved)

series1.2s (11.1%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

636.0ms	(+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12))))
359.0ms	(.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12)))
76.0ms	(.f64 a (+.f64 4 (.f64 2 a)))
36.0ms	(.f64 4 (.f64 a a))

Compiler

Compiled 2628 to 2087 computations (20.6% saved)

simplify122.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-+l+_binary64_1375`
385×	`associate-l_binary64_1383`
345×	`associate-r_binary64_1382`
231×	`exp-prod_binary64_1494`
217×	`distribute-rgt-in_binary64_1392`
206×	`distribute-lft-in_binary64_1391`
187×	`cancel-sign-sub-inv_binary64_1408` `*-commutative_binary64_1373`
139×	`distribute-rgt-neg-in_binary64_1400`
128×	`unswap-sqr_binary64_1410`
123×	`distribute-rgt-out_binary64_1395`
111×	`distribute-lft-neg-in_binary64_1399`
90×	`associate--r+_binary64_1378`
81×	`+-commutative_binary64_1372`
70×	`associate--l+_binary64_1379`
68×	`distribute-neg-in_binary64_1403`
67×	`log-prod_binary64_1528`
65×	`distribute-lft-out_binary64_1393`
58×	`sqr-pow_binary64_1414`
56×	`associate-+r+_binary64_1374`
53×	`exp-sum_binary64_1488`
49×	`cube-prod_binary64_1470`
46×	`sub-neg_binary64_1435`
34×	`distribute-rgt-out--_binary64_1396`
33×	`distribute-lft-neg-out_binary64_1401`
32×	`*-lft-identity_binary64_1431`
31×	`*-rgt-identity_binary64_1432`
30×	`swap-sqr_binary64_1409`
27×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
19×	`distribute-rgt-neg-out_binary64_1402`
16×	`unpow3_binary64_1508`
15×	`associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
9×	`cube-mult_binary64_1472` `distribute-lft-out--_binary64_1394`
8×	`pow-plus_binary64_1505`
7×	`pow-sqr_binary64_1415`
5×	`exp-lft-sqr_binary64_1497` `unsub-neg_binary64_1436`
4×	`log-pow_binary64_1531` `unpow1/2_binary64_1506`
3×	`count-2_binary64_1390`
2×	`unpow2_binary64_1507` `unpow1_binary64_1500` `rem-sqrt-square_binary64_1455` `difference-of-squares_binary64_1411` `associate-/l*_binary64_1387`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-unmult_binary64_1479`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-rec_binary64_1530` `log-div_binary64_1529` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `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` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-/r_binary64_1386` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

123 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	3043
1	644	2638
2	2588	2614
3	4953	2614
4	5085	2614

prune157.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	99	3	102

Error

0.0b

Counts

102 → 3

Compiler

Compiled 3091 to 1932 computations (37.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 a a))
0.3b	(.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2))))))
0.3b	(.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2))))))
0.3b	(.f64 (.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2)))))) (.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (*.f64 a 2)))))))

rewrite921.0ms (8.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

166×	`associate-*r/_binary64_1384`
96×	`sqrt-div_binary64_1459`
80×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
64×	`frac-add_binary64_1450`
52×	`pow1_binary64_1503`
36×	`frac-times_binary64_1452`
25×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
22×	`pow-prod-down_binary64_1513`
20×	`add-sqr-sqrt_binary64_1464`
14×	`associate-r_binary64_1382`
13×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`associate-l_binary64_1383`
8×	`sqrt-prod_binary64_1458`
6×	`associate-*l/_binary64_1385`
5×	`unswap-sqr_binary64_1410`
4×	`pow-prod-up_binary64_1512` `add-log-exp_binary64_1481` `pow-sqr_binary64_1415` `*-commutative_binary64_1373`
2×	`pow-plus_binary64_1505`
1×	`pow2_binary64_1523` `swap-sqr_binary64_1409`

Counts

4 → 157

Calls

4 calls:

19.0ms	(.f64 (.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2)))))) (.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (*.f64 a 2)))))))
10.0ms	(.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2))))))
9.0ms	(.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2))))))
5.0ms	(.f64 4 (.f64 a a))

Compiler

Compiled 12462 to 8141 computations (34.7% saved)

series1.4s (12.9%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

403.0ms	(.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2))))))
403.0ms	(.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2))))))
366.0ms	(.f64 (.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 a 2)))))) (.f64 b (sqrt.f64 (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (*.f64 a 2)))))))
46.0ms	(.f64 4 (.f64 a a))

Compiler

Compiled 6361 to 4938 computations (22.4% saved)

simplify291.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

537×	`associate-r_binary64_1382`
485×	`associate-l_binary64_1383`
355×	`cancel-sign-sub-inv_binary64_1408`
342×	`*-commutative_binary64_1373`
148×	`distribute-neg-in_binary64_1403`
147×	`sub-neg_binary64_1435`
131×	`+-commutative_binary64_1372`
121×	`associate-+r+_binary64_1374`
118×	`distribute-rgt-in_binary64_1392`
112×	`distribute-lft-in_binary64_1391`
111×	`associate-+l+_binary64_1375`
110×	`unswap-sqr_binary64_1410`
108×	`exp-prod_binary64_1494`
96×	`swap-sqr_binary64_1409`
70×	`sqr-pow_binary64_1414`
68×	`times-frac_binary64_1448`
60×	`associate-/r*_binary64_1386`
59×	`neg-sub0_binary64_1437`
58×	`log-prod_binary64_1528`
57×	`neg-mul-1_binary64_1438`
51×	`associate--l+_binary64_1379`
46×	`*-lft-identity_binary64_1431`
39×	`distribute-rgt-neg-in_binary64_1400`
37×	`associate--r+_binary64_1378`
33×	`associate-/l*_binary64_1387`
31×	`unsub-neg_binary64_1436` `distribute-lft-neg-in_binary64_1399`
26×	`cube-prod_binary64_1470`
23×	`*-rgt-identity_binary64_1432`
18×	`rem-sqrt-square_binary64_1455`
17×	`unpow3_binary64_1508` `distribute-neg-frac_binary64_1406`
15×	`exp-sum_binary64_1488`
13×	`rem-square-sqrt_binary64_1454` `associate-*r/_binary64_1384`
12×	`pow-plus_binary64_1505`
11×	`distribute-rgt-out_binary64_1395` `associate-*l/_binary64_1385`
9×	`cube-mult_binary64_1472`
8×	`cube-unmult_binary64_1479`
7×	`pow-sqr_binary64_1415` `distribute-lft-neg-out_binary64_1401` `distribute-rgt-out--_binary64_1396`
5×	`log-pow_binary64_1531` `exp-lft-sqr_binary64_1497`
3×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `distribute-lft-out_binary64_1393` `count-2_binary64_1390` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
2×	`unpow2_binary64_1507` `mul-1-neg_binary64_1434`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `/-rgt-identity_binary64_1433` `difference-of-squares_binary64_1411` `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` `log-div_binary64_1529` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `div-sub_binary64_1447` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `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-neg-out_binary64_1404` `distribute-rgt-neg-out_binary64_1402` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

211 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	11959
1	1091	10772
2	3750	10754
3	4972	10754
4	5004	10754

prune555.0ms (5.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	157	3	160

Error

0.0b

Counts

160 → 3

Compiler

Compiled 9661 to 6434 computations (33.4% saved)

regimes794.0ms (7.6%)

Accuracy

Total 0.0b remaining (79.5%)

Threshold costs 0.0b (79.5%)

Compiler

Compiled 8550 to 5992 computations (29.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	55
1	41	55
2	48	55
3	52	55
4	60	55
5	59	55
6	57	55

end0.0ms (0%)

sample1.7s (16.6%)

Algorithm

1×

intervals

Results

446.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 1533 to 1092 computations (28.8% saved)

Details

analyze347.0ms (3.3%)

sample24.0ms (0.2%)

simplify78.0ms (0.7%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite191.0ms (1.8%)

series1.1s (10.7%)

simplify140.0ms (1.3%)

prune198.0ms (1.9%)

localize21.0ms (0.2%)

rewrite244.0ms (2.3%)

series487.0ms (4.6%)

simplify120.0ms (1.1%)

prune180.0ms (1.7%)

localize14.0ms (0.1%)

rewrite191.0ms (1.8%)

series1.2s (11.1%)

simplify122.0ms (1.2%)

prune157.0ms (1.5%)

localize19.0ms (0.2%)

rewrite921.0ms (8.8%)

series1.4s (12.9%)

simplify291.0ms (2.8%)

prune555.0ms (5.3%)

regimes794.0ms (7.6%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample1.7s (16.6%)

Profiling