Details

analyze7.9s (18.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

683×	`sub-neg_binary64_1435`
661×	`cancel-sign-sub-inv_binary64_1408`
365×	`neg-mul-1_binary64_1438`
351×	`distribute-rgt-neg-in_binary64_1400`
316×	`distribute-neg-in_binary64_1403`
314×	`neg-sub0_binary64_1437`
302×	`unsub-neg_binary64_1436`
263×	`distribute-lft-neg-in_binary64_1399`
228×	`unswap-sqr_binary64_1410`
212×	`distribute-rgt-in_binary64_1392`
211×	`associate-r_binary64_1382`
190×	`distribute-lft-neg-out_binary64_1401`
180×	`distribute-lft-in_binary64_1391`
176×	`associate--r-_binary64_1381`
160×	`associate-l_binary64_1383`
153×	`*-commutative_binary64_1373`
136×	`sqr-pow_binary64_1414`
126×	`associate-+l-_binary64_1377`
115×	`remove-double-neg_binary64_1430`
111×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
100×	`+-commutative_binary64_1372`
83×	`sub0-neg_binary64_1429` `associate-+r-_binary64_1376`
81×	`div-sub_binary64_1447`
79×	`distribute-rgt-neg-out_binary64_1402`
61×	`associate-+l+_binary64_1375`
55×	`associate-+r+_binary64_1374`
52×	`difference-of-sqr--1_binary64_1413`
48×	`unpow3_binary64_1508` `distribute-neg-out_binary64_1404` `distribute-lft-out--_binary64_1394`
46×	`+-rgt-identity_binary64_1427`
40×	`pow-plus_binary64_1505` `cube-unmult_binary64_1479` `difference-of-sqr-1_binary64_1412`
38×	`associate--r+_binary64_1378`
34×	`associate-/l*_binary64_1387`
33×	`cancel-sign-sub_binary64_1407` `associate--l+_binary64_1379`
24×	`distribute-lft-out_binary64_1393`
20×	`swap-sqr_binary64_1409`
19×	`sqr-neg_binary64_1456`
18×	`+-lft-identity_binary64_1426`
16×	`unpow2_binary64_1507` `pow-sqr_binary64_1415`
14×	`sin-neg_binary64_1572`
13×	`distribute-neg-frac_binary64_1406`
12×	`cos-neg_binary64_1573`
10×	`*-lft-identity_binary64_1431`
9×	`sub-1-sin_binary64_1542` `1-sub-sin_binary64_1538`
8×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `cube-prod_binary64_1470` `rem-sqrt-square_binary64_1455` `--rgt-identity_binary64_1428`
5×	`associate-/r/_binary64_1388` `associate-/r*_binary64_1386`
2×	`distribute-frac-neg_binary64_1405`
1×	`1-exp_binary64_1486` `swap-lambda1-lambda2` `swap-phi1-phi2`
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` `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-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `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` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `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-squares_binary64_1411` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-rgt-out_binary64_1395` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `associate--l-_binary64_1380`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1101
1	386	1101
2	872	1101
3	1804	1101
4	3370	1101
5	4231	1069
6	3976	1069
7	4964	1069
8	4981	1069
9	4998	1069
10	4763	1069
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample458.0ms (1%)

Algorithm

1×

intervals

Results

299.0ms	164×	body	1024	valid
61.0ms	43×	body	512	valid
39.0ms	12×	body	2048	valid
13.0ms	10×	body	256	valid
10.0ms	27×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify106.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

521×	`distribute-rgt-neg-in_binary64_1400`
520×	`sub-neg_binary64_1435`
414×	`neg-mul-1_binary64_1438`
396×	`neg-sub0_binary64_1437`
364×	`distribute-lft-neg-in_binary64_1399`
322×	`unsub-neg_binary64_1436`
317×	`cancel-sign-sub-inv_binary64_1408`
278×	`unswap-sqr_binary64_1410`
237×	`distribute-lft-neg-out_binary64_1401`
189×	`sqr-pow_binary64_1414`
172×	`associate--r+_binary64_1378`
152×	`associate-l_binary64_1383`
144×	`distribute-rgt-in_binary64_1392`
140×	`remove-double-neg_binary64_1430`
132×	`distribute-neg-in_binary64_1403`
125×	`swap-sqr_binary64_1409`
120×	`sqr-neg_binary64_1456` `+-commutative_binary64_1372`
119×	`distribute-rgt-neg-out_binary64_1402` `*-commutative_binary64_1373`
117×	`cube-prod_binary64_1470`
94×	`distribute-lft-in_binary64_1391`
85×	`associate-r_binary64_1382`
84×	`associate--l+_binary64_1379`
82×	`associate--r-_binary64_1381` `associate-+l+_binary64_1375`
71×	`associate-+l-_binary64_1377`
70×	`difference-of-sqr--1_binary64_1413`
58×	`pow-sqr_binary64_1415`
56×	`div-sub_binary64_1447`
40×	`pow-plus_binary64_1505` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `associate--l-_binary64_1380` `associate-+r-_binary64_1376`
37×	`sub0-neg_binary64_1429`
32×	`unpow3_binary64_1508`
30×	`associate-/l*_binary64_1387`
28×	`cube-mult_binary64_1472`
22×	`cancel-sign-sub_binary64_1407`
20×	`--rgt-identity_binary64_1428`
18×	`rem-sqrt-square_binary64_1455`
16×	`associate-/r*_binary64_1386`
14×	`difference-of-sqr-1_binary64_1412` `associate-/r/_binary64_1388`
11×	`associate-+r+_binary64_1374`
10×	`unpow2_binary64_1507` `distribute-neg-frac_binary64_1406`
9×	`cube-neg_binary64_1469` `+-rgt-identity_binary64_1427` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396`
8×	`sin-neg_binary64_1572` `unpow1_binary64_1500`
7×	`cos-neg_binary64_1573` `cube-unmult_binary64_1479` `*-lft-identity_binary64_1431` `distribute-neg-out_binary64_1404`
6×	`*-rgt-identity_binary64_1432` `+-lft-identity_binary64_1426`
5×	`unpow1/2_binary64_1506`
3×	`distribute-rgt1-in_binary64_1398`
2×	`distribute-frac-neg_binary64_1405` `associate-/l/_binary64_1389`
1×	`sub-1-sin_binary64_1542` `1-sub-sin_binary64_1538` `1-exp_binary64_1486` `distribute-rgt-out_binary64_1395` `distribute-lft-out_binary64_1393`
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` `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-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `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` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `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-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390` `associate-l/_binary64_1385` `associate-*r/_binary64_1384`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	59	103
2	119	103
3	235	103
4	459	103
5	809	103
6	1296	103
7	2000	103
8	2952	103
9	4304	103
10	4591	103
11	4778	103

prune7.0ms (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

22.4b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite161.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

20.9b

Rules

4×	`div-sub_binary64_1447` `sin-diff_binary64_1578` `pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`

Counts

4 → 32

Calls

4 calls:

9.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series563.0ms (1.3%)

Error

21.2b

Counts

4 → 40

Calls

4 calls:

119.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
114.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
93.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
89.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 7028 to 4724 computations (32.8% saved)

simplify191.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

648×	`distribute-rgt-neg-in_binary64_1400`
619×	`cancel-sign-sub-inv_binary64_1408`
500×	`sub-neg_binary64_1435`
496×	`distribute-lft-neg-in_binary64_1399`
354×	`neg-mul-1_binary64_1438`
324×	`neg-sub0_binary64_1437`
302×	`*-commutative_binary64_1373`
229×	`unswap-sqr_binary64_1410`
197×	`distribute-neg-in_binary64_1403`
184×	`unsub-neg_binary64_1436`
173×	`distribute-lft-out--_binary64_1394`
151×	`distribute-lft-out_binary64_1393`
137×	`associate-r_binary64_1382`
119×	`associate-l_binary64_1383`
113×	`distribute-rgt-out--_binary64_1396`
91×	`distribute-lft-neg-out_binary64_1401`
88×	`distribute-rgt-out_binary64_1395`
81×	`remove-double-neg_binary64_1430` `associate-+l-_binary64_1377`
67×	`+-commutative_binary64_1372`
57×	`associate-+l+_binary64_1375`
56×	`sqr-pow_binary64_1414` `distribute-rgt-neg-out_binary64_1402`
43×	`sub0-neg_binary64_1429` `associate--l+_binary64_1379` `associate-+r+_binary64_1374`
40×	`associate-+r-_binary64_1376`
33×	`div-sub_binary64_1447` `distribute-neg-out_binary64_1404`
30×	`cube-prod_binary64_1470`
29×	`+-rgt-identity_binary64_1427` `cancel-sign-sub_binary64_1407`
28×	`unpow3_binary64_1508`
27×	`associate--r+_binary64_1378`
26×	`distribute-rgt-in_binary64_1392`
20×	`sin-neg_binary64_1572` `pow-plus_binary64_1505` `cube-unmult_binary64_1479`
16×	`distribute-lft-in_binary64_1391`
12×	`pow-sqr_binary64_1415`
10×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `associate-/l*_binary64_1387`
8×	`difference-of-squares_binary64_1411` `associate--l-_binary64_1380`
7×	`associate--r-_binary64_1381`
6×	`cos-neg_binary64_1573` `unpow2_binary64_1507` `cube-mult_binary64_1472` `cube-neg_binary64_1469`
5×	`sqr-neg_binary64_1456`
4×	`exp-neg_binary64_1489` `--rgt-identity_binary64_1428` `distribute-neg-frac_binary64_1406`
3×	`*-lft-identity_binary64_1431`
2×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `rem-sqrt-square_binary64_1455` `+-lft-identity_binary64_1426` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `associate-/r/_binary64_1388` `associate-/r*_binary64_1386`
1×	`1-exp_binary64_1486` `div0_binary64_1423` `distribute-lft1-in_binary64_1397`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `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-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` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-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` `swap-sqr_binary64_1409` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-l/_binary64_1385` `associate-r/_binary64_1384`

Counts

72 → 18

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1268
1	208	1192
2	459	1134
3	1101	1120
4	2454	1120
5	4209	1120
6	4947	1120
7	4985	1120
8	4998	1120
9	4926	1120

prune104.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	11	7	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	7	19

Error

22.3b

Counts

19 → 7

Compiler

Compiled 1868 to 1183 computations (36.7% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
6.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite235.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

20.9b

Rules

12×	`cbrt-prod_binary64_1473`
7×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470` `div-sub_binary64_1447` `sin-diff_binary64_1578`
1×	`pow1/3_binary64_1524` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `rem-cbrt-cube_binary64_1466`

Counts

4 → 45

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 3459 to 2059 computations (40.5% saved)

series585.0ms (1.3%)

Error

21.2b

Counts

4 → 40

Calls

4 calls:

119.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
118.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
97.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
97.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 7244 to 4940 computations (31.8% saved)

simplify117.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

646×	`unswap-sqr_binary64_1410`
619×	`cancel-sign-sub-inv_binary64_1408`
422×	`*-commutative_binary64_1373`
312×	`sub-neg_binary64_1435`
301×	`neg-mul-1_binary64_1438`
271×	`neg-sub0_binary64_1437`
208×	`associate-l_binary64_1383`
206×	`associate-r_binary64_1382`
197×	`distribute-neg-in_binary64_1403`
182×	`distribute-rgt-neg-in_binary64_1400`
176×	`distribute-lft-neg-in_binary64_1399`
103×	`rem-sqrt-square_binary64_1455`
97×	`sqr-pow_binary64_1414`
82×	`unsub-neg_binary64_1436`
81×	`associate-+l-_binary64_1377`
72×	`distribute-rgt-out--_binary64_1396`
67×	`+-commutative_binary64_1372`
58×	`associate-+l+_binary64_1375`
57×	`distribute-rgt-out_binary64_1395`
56×	`distribute-rgt-neg-out_binary64_1402`
48×	`pow-plus_binary64_1505`
44×	`associate-+r+_binary64_1374`
43×	`sub0-neg_binary64_1429` `associate--l+_binary64_1379`
41×	`distribute-lft-out--_binary64_1394`
40×	`associate-+r-_binary64_1376`
33×	`distribute-neg-out_binary64_1404`
31×	`distribute-lft-out_binary64_1393`
29×	`log-prod_binary64_1528` `cube-unmult_binary64_1479` `remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `cancel-sign-sub_binary64_1407`
27×	`cube-prod_binary64_1470` `div-sub_binary64_1447` `distribute-rgt-in_binary64_1392` `associate--r+_binary64_1378`
26×	`exp-prod_binary64_1494`
24×	`unpow3_binary64_1508`
21×	`pow-sqr_binary64_1415`
17×	`distribute-lft-in_binary64_1391`
16×	`sin-neg_binary64_1572`
13×	`distribute-lft-neg-out_binary64_1401`
12×	`associate-/l*_binary64_1387`
10×	`log-pow_binary64_1531` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
9×	`cube-mult_binary64_1472`
8×	`associate--l-_binary64_1380`
7×	`unpow2_binary64_1507` `associate--r-_binary64_1381`
6×	`cos-neg_binary64_1573` `difference-of-squares_binary64_1411`
4×	`unpow1_binary64_1500` `rem-cbrt-cube_binary64_1466` `--rgt-identity_binary64_1428` `swap-sqr_binary64_1409` `distribute-neg-frac_binary64_1406` `count-2_binary64_1390`
3×	`*-lft-identity_binary64_1431`
2×	`unpow1/2_binary64_1506` `cube-neg_binary64_1469` `sqr-neg_binary64_1456` `+-lft-identity_binary64_1426` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `associate-/r/_binary64_1388` `associate-/r*_binary64_1386`
1×	`1-exp_binary64_1486` `rem-3cbrt-lft_binary64_1467` `rem-cube-cbrt_binary64_1465` `rem-square-sqrt_binary64_1454` `distribute-lft1-in_binary64_1397`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `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-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-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` `sqr-abs_binary64_1457` `times-frac_binary64_1448` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `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` `associate-/l/_binary64_1389` `associate-l/_binary64_1385` `associate-r/_binary64_1384`

Counts

85 → 34

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	1503
1	244	1423
2	567	1365
3	1435	1351
4	3076	1337
5	4636	1337
6	4934	1337

prune179.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	30	11	41

Error

22.2b

Counts

41 → 11

Compiler

Compiled 3375 to 2112 computations (37.4% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.9b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite201.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

20.9b

Rules

6×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
5×	`pow1_binary64_1503`
4×	`log-pow_binary64_1531` `div-sub_binary64_1447` `sin-diff_binary64_1578` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`exp-prod_binary64_1494` `log-prod_binary64_1528`
1×	`exp-diff_binary64_1490` `log-div_binary64_1529` `rem-log-exp_binary64_1483`

Counts

4 → 40

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
8.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 3002 to 1770 computations (41% saved)

series798.0ms (1.8%)

Error

21.1b

Counts

4 → 40

Calls

4 calls:

338.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
119.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
93.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
90.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 7228 to 4924 computations (31.9% saved)

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

648×	`distribute-rgt-neg-in_binary64_1400`
632×	`cancel-sign-sub-inv_binary64_1408`
540×	`sub-neg_binary64_1435`
496×	`distribute-lft-neg-in_binary64_1399`
359×	`neg-mul-1_binary64_1438`
331×	`neg-sub0_binary64_1437`
308×	`*-commutative_binary64_1373`
197×	`distribute-neg-in_binary64_1403`
173×	`distribute-lft-out--_binary64_1394`
155×	`unsub-neg_binary64_1436`
137×	`associate-r_binary64_1382`
120×	`associate-l_binary64_1383`
113×	`distribute-rgt-out--_binary64_1396`
92×	`distribute-rgt-out_binary64_1395`
91×	`distribute-lft-neg-out_binary64_1401`
83×	`associate-+l-_binary64_1377`
76×	`unswap-sqr_binary64_1410`
69×	`+-commutative_binary64_1372`
63×	`sqr-pow_binary64_1414`
56×	`distribute-rgt-neg-out_binary64_1402` `associate-+l+_binary64_1375`
49×	`log-pow_binary64_1531`
47×	`associate--l+_binary64_1379`
42×	`log-prod_binary64_1528`
41×	`sub0-neg_binary64_1429` `associate-+r-_binary64_1376` `associate-+r+_binary64_1374`
40×	`exp-prod_binary64_1494`
35×	`distribute-neg-out_binary64_1404`
30×	`cancel-sign-sub_binary64_1407` `distribute-lft-out_binary64_1393`
29×	`remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `associate--r+_binary64_1378`
27×	`div-sub_binary64_1447`
26×	`distribute-rgt-in_binary64_1392`
24×	`exp-sum_binary64_1488`
23×	`pow-sqr_binary64_1415`
18×	`sin-neg_binary64_1572`
16×	`cube-unmult_binary64_1479` `distribute-lft-in_binary64_1391`
15×	`rem-log-exp_binary64_1483`
14×	`pow-plus_binary64_1505`
11×	`associate--l-_binary64_1380`
10×	`unpow3_binary64_1508` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `associate-/l*_binary64_1387`
9×	`rem-exp-log_binary64_1482`
8×	`cube-prod_binary64_1470`
7×	`exp-to-pow_binary64_1504` `associate--r-_binary64_1381`
6×	`cos-neg_binary64_1573` `exp-sqrt_binary64_1495` `difference-of-squares_binary64_1411`
4×	`exp-neg_binary64_1489` `--rgt-identity_binary64_1428` `distribute-neg-frac_binary64_1406` `count-2_binary64_1390`
3×	`exp-lft-sqr_binary64_1497` `-lft-identity_binary64_1431` `associate-/l/_binary64_1389` `associate-r/_binary64_1384`
2×	`log-rec_binary64_1530` `log-div_binary64_1529` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `exp-diff_binary64_1490` `cube-mult_binary64_1472` `rem-sqrt-square_binary64_1455` `+-lft-identity_binary64_1426` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `associate-/r/_binary64_1388` `associate-/r*_binary64_1386`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `distribute-lft1-in_binary64_1397`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `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` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `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` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `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` `swap-sqr_binary64_1409` `associate-*l/_binary64_1385`

Counts

80 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1400
1	248	1312
2	515	1254
3	1190	1240
4	2624	1240
5	4304	1240
6	5019	1240

prune175.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	35	11	46

Error

21.8b

Counts

46 → 11

Compiler

Compiled 3365 to 2092 computations (37.8% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.9b	(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))
6.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite335.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

20.9b

Rules

24×	`cbrt-prod_binary64_1473`
16×	`log-pow_binary64_1531`
15×	`exp-prod_binary64_1494`
12×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
6×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
5×	`pow1_binary64_1503`
4×	`add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`log-prod_binary64_1528`
2×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `div-sub_binary64_1447` `sin-diff_binary64_1578`
1×	`pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466` `rem-log-exp_binary64_1483`

Counts

4 → 64

Calls

4 calls:

9.0ms	(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))
8.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 5122 to 3112 computations (39.2% saved)

series800.0ms (1.8%)

Error

21.1b

Counts

4 → 40

Calls

4 calls:

338.0ms	(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))
115.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
96.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
95.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 7360 to 5056 computations (31.3% saved)

simplify160.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

646×	`unswap-sqr_binary64_1410`
632×	`cancel-sign-sub-inv_binary64_1408`
423×	`*-commutative_binary64_1373`
323×	`sub-neg_binary64_1435`
209×	`associate-l_binary64_1383`
206×	`associate-r_binary64_1382`
197×	`distribute-neg-in_binary64_1403`
182×	`distribute-rgt-neg-in_binary64_1400`
176×	`distribute-lft-neg-in_binary64_1399`
173×	`neg-mul-1_binary64_1438`
169×	`neg-sub0_binary64_1437`
102×	`sqr-pow_binary64_1414`
99×	`log-prod_binary64_1528`
83×	`associate-+l-_binary64_1377`
80×	`unsub-neg_binary64_1436`
72×	`distribute-rgt-out--_binary64_1396`
69×	`+-commutative_binary64_1372`
66×	`log-pow_binary64_1531`
57×	`distribute-rgt-out_binary64_1395` `associate-+l+_binary64_1375`
47×	`associate--l+_binary64_1379`
42×	`distribute-rgt-in_binary64_1392` `associate-+r+_binary64_1374`
41×	`sub0-neg_binary64_1429` `distribute-lft-out--_binary64_1394` `associate-+r-_binary64_1376`
35×	`distribute-neg-out_binary64_1404`
32×	`distribute-lft-in_binary64_1391`
31×	`distribute-lft-out_binary64_1393`
30×	`pow-plus_binary64_1505` `cancel-sign-sub_binary64_1407`
29×	`remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `associate--r+_binary64_1378`
26×	`unpow3_binary64_1508`
25×	`pow-sqr_binary64_1415`
23×	`rem-sqrt-square_binary64_1455`
20×	`cube-unmult_binary64_1479`
19×	`div-sub_binary64_1447`
18×	`rem-log-exp_binary64_1483` `cube-prod_binary64_1470`
16×	`exp-prod_binary64_1494`
14×	`sin-neg_binary64_1572`
13×	`distribute-lft-neg-out_binary64_1401`
12×	`distribute-rgt-neg-out_binary64_1402` `associate-/l*_binary64_1387`
11×	`exp-sum_binary64_1488` `associate--l-_binary64_1380`
10×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
7×	`cube-mult_binary64_1472` `associate--r-_binary64_1381`
6×	`cos-neg_binary64_1573` `difference-of-squares_binary64_1411` `swap-sqr_binary64_1409` `count-2_binary64_1390`
4×	`log-div_binary64_1529` `unpow2_binary64_1507` `exp-to-pow_binary64_1504` `rem-cbrt-cube_binary64_1466` `--rgt-identity_binary64_1428` `distribute-neg-frac_binary64_1406`
3×	`*-lft-identity_binary64_1431`
2×	`log-rec_binary64_1530` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `exp-neg_binary64_1489` `rem-exp-log_binary64_1482` `+-lft-identity_binary64_1426` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `associate-/r/_binary64_1388` `associate-/r*_binary64_1386`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `rem-cube-cbrt_binary64_1465` `rem-square-sqrt_binary64_1454` `distribute-lft1-in_binary64_1397` `associate-/l/_binary64_1389` `associate-*r/_binary64_1384`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `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` `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` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `times-frac_binary64_1448` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `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` `associate-*l/_binary64_1385`

Counts

104 → 62

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	1765
1	273	1643
2	596	1585
3	1475	1571
4	3212	1547
5	4875	1547
6	4961	1547
7	4921	1547

prune239.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	60	13	73

Error

21.8b

Counts

73 → 13

Compiler

Compiled 4615 to 2727 computations (40.9% saved)

regimes8.3s (19%)

Accuracy

Total 1.0b remaining (4.1%)

Threshold costs 1.0b (4.1%)

Compiler

Compiled 121192 to 88192 computations (27.2% saved)

bsearch0.0ms (0%)

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64_1373`
19×	`+-commutative_binary64_1372`
17×	`sub-neg_binary64_1435`
13×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
8×	`distribute-rgt-neg-in_binary64_1400`
7×	`distribute-lft-neg-in_binary64_1399`
2×	`unsub-neg_binary64_1436` `cancel-sign-sub-inv_binary64_1408` `distribute-neg-in_binary64_1403`
1×	`1-exp_binary64_1486` `distribute-lft-neg-out_binary64_1401`
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` `-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-rgt-neg-out_binary64_1402`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	124
1	60	124
2	82	124
3	106	124
4	126	124
5	141	124
6	149	124
7	154	124
8	156	124
9	155	124

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 312 to 232 computations (25.6% saved)

end0.0ms (0%)

sample21.8s (49.8%)

Algorithm

1×

intervals

Results

9.8s	5236×	body	1024	valid
1.6s	1263×	body	512	valid
1.4s	431×	body	2048	valid
292.0ms	373×	body	256	valid
244.0ms	697×	body	128	valid
1.0ms	1×	body	512	invalid

Compiler

Compiled 10204 to 7425 computations (27.2% saved)

Iter	Nodes	Cost
0	38	124
1	60	124
2	82	124
3	106	124
4	126	124
5	141	124
6	149	124
7	154	124
8	156	124
9	155	124

Iter	Nodes	Cost
0	38	124
1	60	124
2	82	124
3	106	124
4	126	124
5	141	124
6	149	124
7	154	124
8	156	124
9	155	124

Details

analyze7.9s (18.1%)

sample458.0ms (1%)

simplify106.0ms (0.2%)

prune7.0ms (0%)

localize33.0ms (0.1%)

rewrite161.0ms (0.4%)

series563.0ms (1.3%)

simplify191.0ms (0.4%)

prune104.0ms (0.2%)

localize41.0ms (0.1%)

rewrite235.0ms (0.5%)

series585.0ms (1.3%)

simplify117.0ms (0.3%)

prune179.0ms (0.4%)

localize39.0ms (0.1%)

rewrite201.0ms (0.5%)

series798.0ms (1.8%)

simplify112.0ms (0.3%)

prune175.0ms (0.4%)

localize43.0ms (0.1%)

rewrite335.0ms (0.8%)

series800.0ms (1.8%)

simplify160.0ms (0.4%)

prune239.0ms (0.5%)

regimes8.3s (19%)

bsearch0.0ms (0%)

simplify47.0ms (0.1%)

end0.0ms (0%)

sample21.8s (49.8%)

Profiling

Iter	Nodes	Cost
0	38	124
1	60	124
2	82	124
3	106	124
4	126	124
5	141	124
6	149	124
7	154	124
8	156	124
9	155	124