Details

analyze817.0ms (11%)

Algorithm

1×	search
2×	egg-herbie

Rules

724×	`sub-neg_binary64_1435`
708×	`div-sub_binary64_1447`
646×	`associate-/l*_binary64_1387`
593×	`cancel-sign-sub-inv_binary64_1408`
423×	`distribute-neg-frac_binary64_1406`
403×	`distribute-frac-neg_binary64_1405`
349×	`unsub-neg_binary64_1436`
289×	`distribute-rgt-in_binary64_1392`
283×	`neg-mul-1_binary64_1438`
237×	`neg-sub0_binary64_1437`
179×	`cancel-sign-sub_binary64_1407`
165×	`associate--r+_binary64_1378`
123×	`+-commutative_binary64_1372`
112×	`distribute-lft-in_binary64_1391`
103×	`associate-+r-_binary64_1376`
102×	`distribute-neg-in_binary64_1403`
98×	`associate-/r*_binary64_1386`
85×	`associate--r-_binary64_1381`
80×	`distribute-rgt-neg-in_binary64_1400` `associate-+r+_binary64_1374`
79×	`+-lft-identity_binary64_1426`
77×	`distribute-lft-neg-out_binary64_1401`
74×	`distribute-lft-neg-in_binary64_1399`
69×	`associate--l+_binary64_1379`
64×	`associate-+l-_binary64_1377`
61×	`associate-/l/_binary64_1389`
60×	`associate-/r/_binary64_1388`
58×	`sub0-neg_binary64_1429`
55×	`remove-double-neg_binary64_1430`
54×	`times-frac_binary64_1448`
53×	`distribute-rgt-neg-out_binary64_1402`
51×	`*-commutative_binary64_1373`
43×	`/-rgt-identity_binary64_1433`
37×	`*-lft-identity_binary64_1431`
33×	`+-rgt-identity_binary64_1427` `associate-+l+_binary64_1375`
30×	`associate--l-_binary64_1380`
28×	`distribute-rgt-out--_binary64_1396`
24×	`associate-*l/_binary64_1385`
22×	`*-rgt-identity_binary64_1432`
20×	`distribute-lft-out_binary64_1393`
18×	`associate-*r/_binary64_1384`
15×	`--rgt-identity_binary64_1428`
13×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
8×	`div0_binary64_1423`
6×	`remove-double-div_binary64_1418`
3×	`distribute-neg-out_binary64_1404` `distribute-lft-out--_binary64_1394`
1×	`1-exp_binary64_1486` `distribute-rgt-out_binary64_1395` `swap-x-y`
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` `mul-1-neg_binary64_1434` `-inverses_binary64_1422` `+-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` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate-l_binary64_1383` `associate-r*_binary64_1382`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	91
1	89	91
2	207	91
3	329	91
4	645	91
5	1434	91
6	2541	91
7	4520	91
8	4577	91
9	5189	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

sample36.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	92×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

465×	`distribute-rgt-in_binary64_1392`
442×	`div-sub_binary64_1447`
329×	`cancel-sign-sub-inv_binary64_1408` `associate-/l*_binary64_1387`
321×	`distribute-lft-in_binary64_1391`
320×	`unsub-neg_binary64_1436`
317×	`times-frac_binary64_1448`
194×	`sub-neg_binary64_1435`
168×	`associate-/r/_binary64_1388`
162×	`associate-/r*_binary64_1386`
158×	`associate-*l/_binary64_1385`
133×	`associate-/l/_binary64_1389`
128×	`distribute-neg-frac_binary64_1406`
101×	`distribute-rgt-neg-out_binary64_1402`
97×	`distribute-rgt-neg-in_binary64_1400`
92×	`neg-mul-1_binary64_1438`
91×	`distribute-neg-in_binary64_1403`
80×	`associate-l_binary64_1383`
72×	`neg-sub0_binary64_1437` `distribute-lft-neg-out_binary64_1401`
71×	`distribute-lft-neg-in_binary64_1399` `associate-r_binary64_1382`
70×	`associate-*r/_binary64_1384`
63×	`associate--r+_binary64_1378`
54×	`+-commutative_binary64_1372`
53×	`associate--r-_binary64_1381`
41×	`*-commutative_binary64_1373`
36×	`associate-+l-_binary64_1377`
33×	`+-lft-identity_binary64_1426` `associate-+l+_binary64_1375`
32×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
30×	`*-lft-identity_binary64_1431` `cancel-sign-sub_binary64_1407`
26×	`associate--l+_binary64_1379`
25×	`associate--l-_binary64_1380`
24×	`remove-double-neg_binary64_1430` `associate-+r+_binary64_1374`
22×	`associate-+r-_binary64_1376`
21×	`sub0-neg_binary64_1429`
18×	`div0_binary64_1423`
17×	`*-rgt-identity_binary64_1432`
14×	`distribute-frac-neg_binary64_1405`
9×	`+-rgt-identity_binary64_1427`
4×	`/-rgt-identity_binary64_1433`
1×	`1-exp_binary64_1486` `--rgt-identity_binary64_1428`
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` `mul-1-neg_binary64_1434` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-rgt-out_binary64_1395` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `count-2_binary64_1390`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	21	13
2	45	13
3	69	13
4	131	13
5	242	13
6	464	13
7	832	13
8	1340	13
9	1858	13
10	1821	13
11	1817	13
12	1813	13
13	1814	13
14	1814	13
15	2206	13
16	1870	13
17	1870	13
18	1870	13
19	1744	13

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

0.0b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x y) z)
0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite59.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`*-un-lft-identity_binary64_1442`
11×	`add-sqr-sqrt_binary64_1464`
7×	`add-exp-log_binary64_1480` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
6×	`times-frac_binary64_1448` `distribute-lft-out--_binary64_1394` `associate-/l*_binary64_1387`
5×	`add-cube-cbrt_binary64_1477`
3×	`difference-of-squares_binary64_1411` `distribute-lft-out_binary64_1393` `cancel-sign-sub-inv_binary64_1408`
2×	`pow1_binary64_1503` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417` `diff-log_binary64_1534`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386` `sum-log_binary64_1533` `sub-neg_binary64_1435` `associate--l+_binary64_1379`

Counts

2 → 49

Calls

2 calls:

10.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
7.0ms	(-.f64 (+.f64 x y) z)

Compiler

Compiled 792 to 305 computations (61.5% saved)

series481.0ms (6.4%)

Error

Counts

2 → 39

Calls

2 calls:

353.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
98.0ms	(-.f64 (+.f64 x y) z)

Compiler

Compiled 1025 to 827 computations (19.3% saved)

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

354×	`distribute-rgt-in_binary64_1392`
351×	`div-sub_binary64_1447`
341×	`distribute-lft-in_binary64_1391`
288×	`associate-l_binary64_1383`
238×	`associate-r_binary64_1382`
217×	`associate-/l*_binary64_1387`
201×	`cancel-sign-sub-inv_binary64_1408`
195×	`times-frac_binary64_1448`
141×	`associate-/r*_binary64_1386`
137×	`*-commutative_binary64_1373`
135×	`sub-neg_binary64_1435`
117×	`associate-*l/_binary64_1385`
100×	`associate-*r/_binary64_1384`
88×	`associate-+l+_binary64_1375`
80×	`associate-/l/_binary64_1389`
76×	`unsub-neg_binary64_1436`
65×	`associate-+r+_binary64_1374`
61×	`exp-prod_binary64_1494`
60×	`+-commutative_binary64_1372`
54×	`neg-sub0_binary64_1437`
48×	`neg-mul-1_binary64_1438`
42×	`associate-/r/_binary64_1388`
39×	`exp-diff_binary64_1490`
38×	`exp-sum_binary64_1488`
32×	`sqr-pow_binary64_1414`
31×	`distribute-rgt-neg-in_binary64_1400`
25×	`unswap-sqr_binary64_1410`
23×	`cube-prod_binary64_1470`
22×	`distribute-lft-neg-in_binary64_1399`
21×	`distribute-neg-in_binary64_1403`
19×	`associate--l+_binary64_1379`
18×	`swap-sqr_binary64_1409`
16×	`+-rgt-identity_binary64_1427` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
15×	`unpow3_binary64_1508` `associate--r+_binary64_1378`
13×	`distribute-lft-neg-out_binary64_1401`
12×	`distribute-rgt-out_binary64_1395`
11×	`distribute-neg-frac_binary64_1406`
9×	`cube-unmult_binary64_1479` `sub0-neg_binary64_1429` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `difference-of-squares_binary64_1411`
8×	`mul-1-neg_binary64_1434` `distribute-rgt-out--_binary64_1396`
7×	`exp-sqrt_binary64_1495` `distribute-lft-out_binary64_1393`
6×	`remove-double-neg_binary64_1430` `distribute-rgt-neg-out_binary64_1402`
5×	`log-div_binary64_1529` `div-exp_binary64_1493` `distribute-lft-out--_binary64_1394` `associate--r-_binary64_1381`
4×	`pow-plus_binary64_1505`
3×	`cube-mult_binary64_1472` `cube-div_binary64_1471`
2×	`log-prod_binary64_1528` `prod-exp_binary64_1491` `rem-sqrt-square_binary64_1455` `pow-sqr_binary64_1415`
1×	`1-exp_binary64_1486` `cube-neg_binary64_1469` `rem-3cbrt-lft_binary64_1467` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `--rgt-identity_binary64_1428` `div0_binary64_1423` `cancel-sign-sub_binary64_1407`
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` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `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` `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` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `+-lft-identity_binary64_1426` `*-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` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate--l-_binary64_1380`

Counts

88 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1221
1	319	1085
2	943	1041
3	3610	1005
4	4958	1005
5	4932	1005

prune54.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	3	71

Error

Counts

71 → 3

Compiler

Compiled 897 to 343 computations (61.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
0.0b	(/.f64 (+.f64 y (-.f64 x z)) t)

rewrite90.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

57×	`*-un-lft-identity_binary64_1442`
31×	`times-frac_binary64_1448`
27×	`add-sqr-sqrt_binary64_1464`
22×	`add-cube-cbrt_binary64_1477`
19×	`associate-r_binary64_1382`
14×	`distribute-lft-out_binary64_1393`
9×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
7×	`distribute-lft-out--_binary64_1394`
5×	`associate-/l*_binary64_1387`
4×	`pow1_binary64_1503`
3×	`associate-/r_binary64_1386` `associate-l*_binary64_1383`
2×	`div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `associate-/l/_binary64_1389` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410`
1×	`frac-2neg_binary64_1453` `associate-+r-_binary64_1376` `div-sub_binary64_1447` `clear-num_binary64_1441` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-prod-down_binary64_1513` `associate-r/_binary64_1384` `-commutative_binary64_1373`

Counts

2 → 76

Calls

2 calls:

15.0ms	(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
8.0ms	(/.f64 (+.f64 y (-.f64 x z)) t)

Compiler

Compiled 1337 to 403 computations (69.9% saved)

series618.0ms (8.3%)

Error

Counts

2 → 42

Calls

2 calls:

342.0ms	(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t))
249.0ms	(/.f64 (+.f64 y (-.f64 x z)) t)

Compiler

Compiled 1220 to 917 computations (24.8% saved)

simplify113.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

544×	`div-sub_binary64_1447`
470×	`distribute-rgt-in_binary64_1392`
448×	`sub-neg_binary64_1435`
446×	`distribute-lft-in_binary64_1391`
190×	`unsub-neg_binary64_1436`
189×	`associate-*r/_binary64_1384`
185×	`associate-*l/_binary64_1385`
180×	`neg-sub0_binary64_1437`
168×	`neg-mul-1_binary64_1438`
160×	`*-commutative_binary64_1373`
158×	`associate-l_binary64_1383`
156×	`associate-/l*_binary64_1387`
125×	`associate-r_binary64_1382`
114×	`cancel-sign-sub-inv_binary64_1408`
81×	`distribute-frac-neg_binary64_1405`
79×	`exp-sum_binary64_1488`
78×	`associate-/l/_binary64_1389`
75×	`exp-diff_binary64_1490`
57×	`associate-/r/_binary64_1388`
56×	`times-frac_binary64_1448` `associate-/r*_binary64_1386`
47×	`associate-+l+_binary64_1375`
45×	`exp-prod_binary64_1494` `+-commutative_binary64_1372`
43×	`log-div_binary64_1529`
42×	`associate-+r+_binary64_1374`
41×	`cube-div_binary64_1471`
34×	`cube-prod_binary64_1470`
33×	`log-prod_binary64_1528` `distribute-neg-in_binary64_1403` `associate-+r-_binary64_1376`
30×	`associate-+l-_binary64_1377`
25×	`distribute-neg-frac_binary64_1406`
24×	`+-rgt-identity_binary64_1427`
20×	`sqr-pow_binary64_1414` `swap-sqr_binary64_1409` `distribute-lft-neg-out_binary64_1401` `associate--l+_binary64_1379`
19×	`associate--r+_binary64_1378`
18×	`distribute-rgt-neg-in_binary64_1400`
17×	`/-rgt-identity_binary64_1433`
15×	`unpow3_binary64_1508` `cube-neg_binary64_1469` `sqr-neg_binary64_1456`
14×	`distribute-rgt-neg-out_binary64_1402`
13×	`mul-1-neg_binary64_1434` `distribute-lft-neg-in_binary64_1399`
12×	`cube-mult_binary64_1472`
10×	`distribute-rgt-out--_binary64_1396`
9×	`sub0-neg_binary64_1429`
8×	`*-rgt-identity_binary64_1432` `remove-double-neg_binary64_1430` `associate--r-_binary64_1381`
7×	`*-lft-identity_binary64_1431`
6×	`exp-neg_binary64_1489` `cube-unmult_binary64_1479` `distribute-neg-out_binary64_1404`
5×	`associate--l-_binary64_1380`
4×	`unpow1/2_binary64_1506` `pow-sqr_binary64_1415`
3×	`log-rec_binary64_1530` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393`
2×	`--rgt-identity_binary64_1428` `distribute-rgt-out_binary64_1395`
1×	`1-exp_binary64_1486` `div0_binary64_1423` `unswap-sqr_binary64_1410`
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` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow2_binary64_1507` `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` `div-exp_binary64_1493` `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` `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-identity_binary64_1426` `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` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390`

Counts

118 → 104

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1885
1	336	1685
2	963	1684
3	3131	1597
4	4300	1597
5	5341	1597

prune77.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	104	3	107

Error

Counts

107 → 3

Compiler

Compiled 1427 to 428 computations (70% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x y) z)
0.3b	(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

rewrite76.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_1442`
20×	`add-sqr-sqrt_binary64_1464`
13×	`associate-r_binary64_1382`
11×	`add-cube-cbrt_binary64_1477`
10×	`times-frac_binary64_1448`
7×	`add-exp-log_binary64_1480` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
6×	`associate-l_binary64_1383`
4×	`pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
3×	`flip3--_binary64_1446` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408`
2×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-times_binary64_1452` `unswap-sqr_binary64_1410` `associate-*l/_binary64_1385` `difference-of-squares_binary64_1411` `distribute-lft-out_binary64_1393` `diff-log_binary64_1534`
1×	`pow-prod-down_binary64_1513` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-r/_binary64_1384` `div-inv_binary64_1439` `-commutative_binary64_1373` `sum-log_binary64_1533` `sub-neg_binary64_1435` `associate--l+_binary64_1379`

Counts

2 → 58

Calls

2 calls:

14.0ms	(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))
7.0ms	(-.f64 (+.f64 x y) z)

Compiler

Compiled 989 to 406 computations (58.9% saved)

series456.0ms (6.1%)

Error

Counts

2 → 39

Calls

2 calls:

340.0ms	(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))
92.0ms	(-.f64 (+.f64 x y) z)

Compiler

Compiled 1025 to 827 computations (19.3% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

677×	`distribute-rgt-in_binary64_1392`
657×	`distribute-lft-in_binary64_1391`
524×	`times-frac_binary64_1448`
292×	`associate-*l/_binary64_1385`
186×	`associate-/l*_binary64_1387`
76×	`associate-l_binary64_1383`
75×	`exp-prod_binary64_1494`
73×	`*-commutative_binary64_1373`
68×	`exp-sum_binary64_1488`
59×	`associate-r_binary64_1382`
54×	`associate-/l/_binary64_1389`
52×	`associate-*r/_binary64_1384`
50×	`sub-neg_binary64_1435`
47×	`associate-/r*_binary64_1386`
44×	`associate-/r/_binary64_1388`
42×	`div-sub_binary64_1447`
34×	`cancel-sign-sub-inv_binary64_1408`
29×	`distribute-lft-neg-out_binary64_1401` `+-commutative_binary64_1372`
23×	`cube-prod_binary64_1470` `distribute-rgt-neg-out_binary64_1402`
22×	`log-prod_binary64_1528`
21×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `*-rgt-identity_binary64_1432` `distribute-rgt-neg-in_binary64_1400`
20×	`*-lft-identity_binary64_1431`
17×	`sqr-pow_binary64_1414`
15×	`distribute-lft-neg-in_binary64_1399`
14×	`log-div_binary64_1529` `exp-diff_binary64_1490`
13×	`cube-div_binary64_1471`
12×	`associate-+l+_binary64_1375`
11×	`distribute-neg-in_binary64_1403`
10×	`associate--l+_binary64_1379`
8×	`unpow3_binary64_1508` `swap-sqr_binary64_1409` `distribute-rgt-out_binary64_1395`
7×	`distribute-rgt-out--_binary64_1396`
6×	`div-exp_binary64_1493` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `/-rgt-identity_binary64_1433` `distribute-neg-frac_binary64_1406` `associate-+r+_binary64_1374`
5×	`distribute-lft-out--_binary64_1394` `associate-+r-_binary64_1376`
4×	`unsub-neg_binary64_1436` `+-rgt-identity_binary64_1427` `distribute-lft-out_binary64_1393`
3×	`log-rec_binary64_1530` `exp-neg_binary64_1489` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `difference-of-squares_binary64_1411`
2×	`unpow1/2_binary64_1506` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410` `associate--r+_binary64_1378`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `pow-sqr_binary64_1415` `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-pow_binary64_1531` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow2_binary64_1507` `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` `rec-exp_binary64_1492` `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-rft_binary64_1468` `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` `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-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

97 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1437
1	350	1293
2	1229	1194
3	4756	1194
4	5499	1194

prune56.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Error

Counts

81 → 3

Compiler

Compiled 1057 to 406 computations (61.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2))
0.2b	(.f64 (sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (.f64 t 2))) (sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2))))
1.0b	(sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2)))
1.0b	(sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2)))

rewrite265.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`*-un-lft-identity_binary64_1442`
72×	`sqrt-prod_binary64_1458`
47×	`times-frac_binary64_1448`
38×	`add-sqr-sqrt_binary64_1464`
24×	`distribute-lft-out_binary64_1393`
22×	`add-cube-cbrt_binary64_1477`
21×	`pow1_binary64_1503`
20×	`swap-sqr_binary64_1409`
12×	`distribute-lft-out--_binary64_1394` `associate-l_binary64_1383` `associate-r_binary64_1382`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
10×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460`
7×	`div-inv_binary64_1439`
6×	`sqrt-div_binary64_1459`
5×	`pow-prod-up_binary64_1512` `associate-/l*_binary64_1387`
4×	`add-log-exp_binary64_1481` `rem-sqrt-square_binary64_1455` `unswap-sqr_binary64_1410`
3×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415`
2×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `sqrt-unprod_binary64_1462` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `associate-+r-_binary64_1376` `div-sub_binary64_1447` `clear-num_binary64_1441` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/r_binary64_1386`

Counts

4 → 145

Calls

4 calls:

24.0ms	(.f64 (sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (.f64 t 2))) (sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2))))
9.0ms	(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2))
8.0ms	(sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2)))
8.0ms	(sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2)))

Compiler

Compiled 4323 to 1983 computations (54.1% saved)

series1.9s (24.9%)

Error

Counts

4 → 76

Calls

4 calls:

673.0ms	(.f64 (sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (.f64 t 2))) (sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2))))
368.0ms	(sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2)))
362.0ms	(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2))
361.0ms	(sqrt.f64 (/.f64 (+.f64 y (-.f64 x z)) (*.f64 t 2)))

Compiler

Compiled 6203 to 4618 computations (25.6% saved)

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

523×	`distribute-rgt-in_binary64_1392`
480×	`distribute-lft-in_binary64_1391`
243×	`div-sub_binary64_1447`
195×	`cancel-sign-sub-inv_binary64_1408`
166×	`associate-r_binary64_1382`
165×	`associate-l_binary64_1383`
154×	`associate-/l/_binary64_1389`
129×	`*-commutative_binary64_1373`
120×	`unswap-sqr_binary64_1410`
113×	`distribute-rgt-neg-in_binary64_1400`
102×	`distribute-lft-neg-in_binary64_1399`
92×	`associate-/l*_binary64_1387`
90×	`sub-neg_binary64_1435`
65×	`associate-/r*_binary64_1386`
61×	`times-frac_binary64_1448`
51×	`neg-sub0_binary64_1437`
47×	`neg-mul-1_binary64_1438`
43×	`log-prod_binary64_1528`
42×	`sqr-pow_binary64_1414`
41×	`distribute-neg-in_binary64_1403`
39×	`+-commutative_binary64_1372`
35×	`exp-prod_binary64_1494`
33×	`cube-prod_binary64_1470`
32×	`distribute-lft-out_binary64_1393`
29×	`distribute-lft-neg-out_binary64_1401` `distribute-rgt-out_binary64_1395`
27×	`rem-sqrt-square_binary64_1455`
25×	`distribute-rgt-out--_binary64_1396`
24×	`associate-*r/_binary64_1384`
21×	`log-div_binary64_1529` `associate-*l/_binary64_1385`
19×	`cube-div_binary64_1471`
17×	`unpow3_binary64_1508` `distribute-neg-frac_binary64_1406` `distribute-rgt-neg-out_binary64_1402` `distribute-lft-out--_binary64_1394`
16×	`associate-/r/_binary64_1388` `associate--l+_binary64_1379`
15×	`unsub-neg_binary64_1436`
14×	`cube-unmult_binary64_1479` `rem-square-sqrt_binary64_1454` `*-rgt-identity_binary64_1432` `associate--r+_binary64_1378`
13×	`*-lft-identity_binary64_1431`
12×	`swap-sqr_binary64_1409`
11×	`pow-plus_binary64_1505`
10×	`cube-mult_binary64_1472`
9×	`associate-+l+_binary64_1375`
7×	`unpow1/2_binary64_1506`
6×	`log-pow_binary64_1531` `unpow2_binary64_1507` `unpow1_binary64_1500` `mul-1-neg_binary64_1434`
5×	`exp-diff_binary64_1490`
4×	`exp-sqrt_binary64_1495` `pow-sqr_binary64_1415` `count-2_binary64_1390`
3×	`sqr-neg_binary64_1456` `associate-+r-_binary64_1376`
2×	`exp-sum_binary64_1488` `difference-of-squares_binary64_1411` `associate--r-_binary64_1381` `associate-+l-_binary64_1377` `associate-+r+_binary64_1374`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `remove-double-neg_binary64_1430` `associate--l-_binary64_1380`
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` `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` `/-rgt-identity_binary64_1433` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `+-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-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397`

Counts

221 → 186

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	5222
1	624	4293
2	1945	4014
3	4742	3995
4	5322	3995

prune191.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	186	3	189

Error

Counts

189 → 3

Compiler

Compiled 4109 to 1849 computations (55% saved)

regimes497.0ms (6.7%)

Accuracy

Total 0.1b remaining (96.2%)

Threshold costs 0.1b (96.2%)

Compiler

Compiled 3127 to 3164 computations (-1.2% saved)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
2	19	13
3	21	13
4	22	13
5	22	13

Remove

(sort x y)

Compiler

Compiled 18 to 18 computations (0% saved)

end0.0ms (0%)

sample1.2s (15.9%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
88.0ms	2801×	body	128	invalid

Compiler

Compiled 361 to 366 computations (-1.4% saved)

Details

analyze817.0ms (11%)

sample36.0ms (0.5%)

simplify150.0ms (2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite59.0ms (0.8%)

series481.0ms (6.4%)

simplify85.0ms (1.1%)

prune54.0ms (0.7%)

localize7.0ms (0.1%)

rewrite90.0ms (1.2%)

series618.0ms (8.3%)

simplify113.0ms (1.5%)

prune77.0ms (1%)

localize7.0ms (0.1%)

rewrite76.0ms (1%)

series456.0ms (6.1%)

simplify82.0ms (1.1%)

prune56.0ms (0.8%)

localize11.0ms (0.1%)

rewrite265.0ms (3.6%)

series1.9s (24.9%)

simplify167.0ms (2.2%)

prune191.0ms (2.6%)

regimes497.0ms (6.7%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample1.2s (15.9%)

Profiling