Details

analyze227.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

806×	`sub-neg_binary64_1435`
743×	`div-sub_binary64_1447`
502×	`associate-/l*_binary64_1387`
427×	`unsub-neg_binary64_1436`
423×	`distribute-rgt-in_binary64_1392`
347×	`distribute-lft-in_binary64_1391`
288×	`neg-mul-1_binary64_1438`
276×	`*-commutative_binary64_1373`
246×	`associate-/r*_binary64_1386`
237×	`neg-sub0_binary64_1437`
227×	`distribute-rgt-neg-out_binary64_1402`
217×	`associate-/r/_binary64_1388`
214×	`associate-l_binary64_1383`
200×	`distribute-lft-neg-out_binary64_1401`
188×	`associate-r_binary64_1382`
186×	`cancel-sign-sub-inv_binary64_1408`
159×	`distribute-rgt-neg-in_binary64_1400`
154×	`associate--r+_binary64_1378`
153×	`associate--r-_binary64_1381`
116×	`distribute-lft-neg-in_binary64_1399`
112×	`distribute-neg-in_binary64_1403`
108×	`associate-*l/_binary64_1385`
101×	`cancel-sign-sub_binary64_1407` `associate-*r/_binary64_1384`
100×	`distribute-rgt-out--_binary64_1396`
95×	`distribute-neg-frac_binary64_1406` `associate-/l/_binary64_1389`
93×	`associate--l-_binary64_1380`
76×	`distribute-frac-neg_binary64_1405`
58×	`associate--l+_binary64_1379`
55×	`mul0-rgt_binary64_1425`
54×	`mul0-lft_binary64_1424`
52×	`+-lft-identity_binary64_1426` `associate-+l-_binary64_1377`
48×	`+-commutative_binary64_1372`
44×	`sub0-neg_binary64_1429`
34×	`div0_binary64_1423`
29×	`*-rgt-identity_binary64_1432`
28×	`*-lft-identity_binary64_1431`
24×	`--rgt-identity_binary64_1428` `distribute-rgt-out_binary64_1395` `associate-+r-_binary64_1376`
19×	`associate-+r+_binary64_1374`
13×	`remove-double-neg_binary64_1430`
12×	`/-rgt-identity_binary64_1433`
11×	`distribute-lft-out--_binary64_1394` `associate-+l+_binary64_1375`
9×	`distribute-neg-out_binary64_1404`
8×	`+-rgt-identity_binary64_1427`
5×	`mul-1-neg_binary64_1434` `distribute-lft1-in_binary64_1397`
2×	`distribute-rgt1-in_binary64_1398` `distribute-lft-out_binary64_1393`
1×	`1-exp_binary64_1486` `sqr-neg_binary64_1456` `difference-of-sqr-1_binary64_1412`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow3_binary64_1508` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-prod_binary64_1494` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `*-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-squares_binary64_1411` `unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `count-2_binary64_1390`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	82	29
3	187	29
4	471	29
5	845	29
6	1231	29
7	2569	29
8	2876	29
9	4256	29
10	5039	29
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

806×	`sub-neg_binary64_1435`
743×	`div-sub_binary64_1447`
502×	`associate-/l*_binary64_1387`
427×	`unsub-neg_binary64_1436`
423×	`distribute-rgt-in_binary64_1392`
347×	`distribute-lft-in_binary64_1391`
288×	`neg-mul-1_binary64_1438`
276×	`*-commutative_binary64_1373`
246×	`associate-/r*_binary64_1386`
237×	`neg-sub0_binary64_1437`
227×	`distribute-rgt-neg-out_binary64_1402`
217×	`associate-/r/_binary64_1388`
214×	`associate-l_binary64_1383`
200×	`distribute-lft-neg-out_binary64_1401`
188×	`associate-r_binary64_1382`
186×	`cancel-sign-sub-inv_binary64_1408`
159×	`distribute-rgt-neg-in_binary64_1400`
154×	`associate--r+_binary64_1378`
153×	`associate--r-_binary64_1381`
116×	`distribute-lft-neg-in_binary64_1399`
112×	`distribute-neg-in_binary64_1403`
108×	`associate-*l/_binary64_1385`
101×	`cancel-sign-sub_binary64_1407` `associate-*r/_binary64_1384`
100×	`distribute-rgt-out--_binary64_1396`
95×	`distribute-neg-frac_binary64_1406` `associate-/l/_binary64_1389`
93×	`associate--l-_binary64_1380`
76×	`distribute-frac-neg_binary64_1405`
58×	`associate--l+_binary64_1379`
55×	`mul0-rgt_binary64_1425`
54×	`mul0-lft_binary64_1424`
52×	`+-lft-identity_binary64_1426` `associate-+l-_binary64_1377`
48×	`+-commutative_binary64_1372`
44×	`sub0-neg_binary64_1429`
34×	`div0_binary64_1423`
29×	`*-rgt-identity_binary64_1432`
28×	`*-lft-identity_binary64_1431`
24×	`--rgt-identity_binary64_1428` `distribute-rgt-out_binary64_1395` `associate-+r-_binary64_1376`
19×	`associate-+r+_binary64_1374`
13×	`remove-double-neg_binary64_1430`
12×	`/-rgt-identity_binary64_1433`
11×	`distribute-lft-out--_binary64_1394` `associate-+l+_binary64_1375`
9×	`distribute-neg-out_binary64_1404`
8×	`+-rgt-identity_binary64_1427`
5×	`mul-1-neg_binary64_1434` `distribute-lft1-in_binary64_1397`
2×	`distribute-rgt1-in_binary64_1398` `distribute-lft-out_binary64_1393`
1×	`1-exp_binary64_1486` `sqr-neg_binary64_1456` `difference-of-sqr-1_binary64_1412`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow3_binary64_1508` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-prod_binary64_1494` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `*-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-squares_binary64_1411` `unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `count-2_binary64_1390`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	82	29
3	187	29
4	471	29
5	845	29
6	1231	29
7	2569	29
8	2876	29
9	4256	29
10	5039	29

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 19 to 15 computations (21.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.1b	(.f64 3 (.f64 v v))

rewrite305.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_1464`
26×	`associate-l_binary64_1383`
23×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `*-un-lft-identity_binary64_1442`
22×	`add-cube-cbrt_binary64_1477` `times-frac_binary64_1448`
20×	`sqrt-prod_binary64_1458`
18×	`sqrt-div_binary64_1459` `frac-times_binary64_1452`
17×	`pow1_binary64_1503`
15×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`associate-r_binary64_1382`
10×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-*r/_binary64_1384`
9×	`associate-*l/_binary64_1385`
7×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
4×	`add-log-exp_binary64_1481`
3×	`*-commutative_binary64_1373`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `sub-neg_binary64_1435` `distribute-rgt-in_binary64_1392` `cancel-sign-sub-inv_binary64_1408` `distribute-lft-in_binary64_1391` `difference-of-squares_binary64_1411`
1×	`div-inv_binary64_1439` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 129

Calls

4 calls:

15.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 4142 to 2935 computations (29.1% saved)

series283.0ms (4.8%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

99.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
77.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
41.0ms	(.f64 3 (.f64 v v))
40.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 997 to 869 computations (12.8% saved)

simplify172.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

550×	`distribute-rgt-in_binary64_1392`
499×	`distribute-lft-in_binary64_1391`
361×	`associate-l_binary64_1383`
340×	`associate-r_binary64_1382`
310×	`cancel-sign-sub-inv_binary64_1408`
241×	`distribute-rgt-neg-in_binary64_1400`
221×	`*-commutative_binary64_1373`
212×	`distribute-lft-neg-in_binary64_1399`
134×	`exp-prod_binary64_1494`
73×	`sub-neg_binary64_1435`
71×	`associate-*l/_binary64_1385`
68×	`distribute-rgt-out_binary64_1395`
57×	`log-prod_binary64_1528` `distribute-lft-neg-out_binary64_1401`
51×	`neg-sub0_binary64_1437` `*-lft-identity_binary64_1431`
49×	`neg-mul-1_binary64_1438`
48×	`+-commutative_binary64_1372`
45×	`distribute-rgt-neg-out_binary64_1402`
39×	`associate-*r/_binary64_1384`
37×	`sqr-pow_binary64_1414`
31×	`*-rgt-identity_binary64_1432`
30×	`distribute-lft-out_binary64_1393`
29×	`associate-/l*_binary64_1387`
26×	`exp-sum_binary64_1488`
25×	`swap-sqr_binary64_1409`
24×	`cube-prod_binary64_1470` `distribute-neg-in_binary64_1403`
22×	`unswap-sqr_binary64_1410` `distribute-lft-out--_binary64_1394`
17×	`associate--r+_binary64_1378` `associate-+l+_binary64_1375`
16×	`unpow3_binary64_1508` `unsub-neg_binary64_1436`
12×	`associate-+r+_binary64_1374`
11×	`distribute-rgt1-in_binary64_1398`
10×	`log-div_binary64_1529` `exp-neg_binary64_1489`
8×	`exp-diff_binary64_1490`
7×	`pow-plus_binary64_1505` `cube-div_binary64_1471` `distribute-neg-frac_binary64_1406`
6×	`cube-unmult_binary64_1479` `distribute-rgt-out--_binary64_1396` `associate--l+_binary64_1379`
5×	`cube-mult_binary64_1472`
4×	`unpow1/2_binary64_1506`
3×	`log-pow_binary64_1531` `pow-sqr_binary64_1415` `distribute-lft1-in_binary64_1397` `associate-+l-_binary64_1377`
2×	`unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `prod-exp_binary64_1491` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `associate-+r-_binary64_1376`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `count-2_binary64_1390` `associate-/r/_binary64_1388`
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` `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-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` `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` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `associate-/l/_binary64_1389` `associate-/r_binary64_1386` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

150 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3914
1	706	3618
2	2379	3598
3	4938	3598
4	4878	3598
5	4922	3598

prune166.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	3	97

Error

Counts

97 → 3

Compiler

Compiled 2604 to 1949 computations (25.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (+.f64 v 1))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.1b	(.f64 3 (.f64 v v))

rewrite660.0ms (11.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

100×	`frac-times_binary64_1452`
52×	`sqrt-div_binary64_1459`
50×	`associate-*l/_binary64_1385`
44×	`add-sqr-sqrt_binary64_1464` `flip3--_binary64_1446` `flip--_binary64_1417`
37×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
36×	`associate-*r/_binary64_1384`
29×	`*-un-lft-identity_binary64_1442`
27×	`associate-l_binary64_1383`
25×	`pow1_binary64_1503`
24×	`add-cube-cbrt_binary64_1477` `flip3-+_binary64_1445` `flip-+_binary64_1416`
22×	`times-frac_binary64_1448`
19×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
17×	`associate-r_binary64_1382` `sqrt-prod_binary64_1458`
13×	`pow-prod-down_binary64_1513`
7×	`unswap-sqr_binary64_1410`
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`
3×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
2×	`sub-neg_binary64_1435` `difference-of-squares_binary64_1411`
1×	`div-inv_binary64_1439` `distribute-lft-out_binary64_1393` `distribute-lft-out--_binary64_1394`

Counts

4 → 198

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
15.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (+.f64 v 1))
13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 7814 to 5875 computations (24.8% saved)

series322.0ms (5.4%)

Error

Counts

4 → 21

Calls

4 calls:

111.0ms	(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
78.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
61.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (+.f64 v 1))
41.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1033 to 933 computations (9.7% saved)

simplify278.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

568×	`distribute-rgt-in_binary64_1392`
562×	`distribute-lft-in_binary64_1391`
521×	`*-commutative_binary64_1373`
287×	`associate-/l*_binary64_1387`
180×	`cancel-sign-sub-inv_binary64_1408`
138×	`associate-l_binary64_1383`
129×	`distribute-rgt-neg-in_binary64_1400`
114×	`distribute-lft-neg-in_binary64_1399`
102×	`associate-*l/_binary64_1385`
101×	`distribute-lft-neg-out_binary64_1401`
95×	`exp-prod_binary64_1494` `distribute-rgt-neg-out_binary64_1402`
77×	`*-rgt-identity_binary64_1432`
76×	`*-lft-identity_binary64_1431`
75×	`sub-neg_binary64_1435`
65×	`log-prod_binary64_1528`
58×	`+-commutative_binary64_1372`
55×	`associate-r_binary64_1382`
52×	`neg-mul-1_binary64_1438`
51×	`neg-sub0_binary64_1437`
48×	`distribute-rgt-out_binary64_1395`
45×	`sqr-pow_binary64_1414`
40×	`associate-*r/_binary64_1384`
38×	`swap-sqr_binary64_1409`
33×	`cube-prod_binary64_1470`
32×	`distribute-lft-out--_binary64_1394`
29×	`associate-+l+_binary64_1375`
26×	`distribute-neg-in_binary64_1403`
23×	`log-div_binary64_1529`
20×	`unsub-neg_binary64_1436`
17×	`unpow3_binary64_1508` `distribute-lft-out_binary64_1393`
15×	`mul-1-neg_binary64_1434` `unswap-sqr_binary64_1410`
14×	`associate--r+_binary64_1378`
13×	`associate-/r/_binary64_1388` `associate-+r+_binary64_1374`
12×	`associate--l+_binary64_1379`
11×	`exp-diff_binary64_1490` `exp-sum_binary64_1488` `distribute-rgt-out--_binary64_1396`
9×	`distribute-rgt1-in_binary64_1398`
8×	`cube-unmult_binary64_1479` `distribute-lft1-in_binary64_1397`
7×	`exp-neg_binary64_1489`
6×	`cube-div_binary64_1471`
5×	`log-pow_binary64_1531` `unpow1/2_binary64_1506` `associate-+l-_binary64_1377`
4×	`log-rec_binary64_1530` `pow-plus_binary64_1505` `cube-mult_binary64_1472` `pow-sqr_binary64_1415`
3×	`rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `distribute-neg-frac_binary64_1406` `associate-+r-_binary64_1376`
2×	`exp-lft-cube_binary64_1498`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `div-sub_binary64_1447` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `count-2_binary64_1390` `associate-/l/_binary64_1389`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `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-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `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` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `associate-/r_binary64_1386` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

219 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	7851
1	1304	7245
2	3523	7215
3	4827	7215
4	4999	7215
5	4926	7215

prune365.0ms (6.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	162	3	165

Error

Counts

165 → 3

Compiler

Compiled 5287 to 4013 computations (24.1% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 v 1))) (-.f64 1 v))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) (+.f64 v 1)))
0.1b	(.f64 3 (.f64 v v))

rewrite341.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`add-sqr-sqrt_binary64_1464`
29×	`-un-lft-identity_binary64_1442` `associate-l*_binary64_1383`
26×	`add-cube-cbrt_binary64_1477`
22×	`times-frac_binary64_1448`
17×	`add-exp-log_binary64_1480` `sqrt-prod_binary64_1458`
16×	`add-cbrt-cube_binary64_1478`
13×	`pow1_binary64_1503` `associate-r_binary64_1382`
8×	`unswap-sqr_binary64_1410` `log-prod_binary64_1528`
6×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `cancel-sign-sub-inv_binary64_1408`
5×	`pow-prod-down_binary64_1513`
4×	`add-log-exp_binary64_1481` `sqrt-div_binary64_1459` `associate-*r/_binary64_1384` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
3×	`*-commutative_binary64_1373` `unpow-prod-down_binary64_1521` `rem-log-exp_binary64_1483` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`log-pow_binary64_1531` `frac-times_binary64_1452` `sub-neg_binary64_1435` `difference-of-squares_binary64_1411`
1×	`unpow-prod-up_binary64_1520` `sqr-pow_binary64_1414` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-*l/_binary64_1385` `div-inv_binary64_1439` `distribute-lft-out--_binary64_1394`

Counts

4 → 122

Calls

4 calls:

14.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
9.0ms	(.f64 (log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 v 1))) (-.f64 1 v))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) (+.f64 v 1)))

Compiler

Compiled 4351 to 3454 computations (20.6% saved)

series725.0ms (12.2%)

Error

Counts

4 → 20

Calls

4 calls:

320.0ms	(.f64 (log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 v 1))) (-.f64 1 v))
247.0ms	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) (+.f64 v 1)))
80.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
43.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1286 to 1160 computations (9.8% saved)

simplify218.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

314×	`distribute-rgt-in_binary64_1392`
284×	`distribute-lft-in_binary64_1391`
246×	`log-prod_binary64_1528`
238×	`associate-*l/_binary64_1385`
228×	`associate-*r/_binary64_1384`
221×	`associate-l_binary64_1383`
220×	`associate-r_binary64_1382`
213×	`cancel-sign-sub-inv_binary64_1408`
173×	`distribute-rgt-neg-in_binary64_1400`
157×	`*-commutative_binary64_1373`
154×	`distribute-lft-neg-in_binary64_1399`
120×	`exp-prod_binary64_1494`
119×	`log-pow_binary64_1531`
109×	`associate-/l*_binary64_1387`
78×	`sqr-pow_binary64_1414`
71×	`log-div_binary64_1529`
61×	`distribute-rgt-out_binary64_1395`
53×	`exp-sum_binary64_1488`
51×	`sub-neg_binary64_1435`
45×	`neg-sub0_binary64_1437`
43×	`neg-mul-1_binary64_1438`
36×	`*-lft-identity_binary64_1431`
35×	`+-commutative_binary64_1372`
34×	`distribute-lft-neg-out_binary64_1401`
30×	`cube-prod_binary64_1470` `distribute-rgt-neg-out_binary64_1402`
28×	`*-rgt-identity_binary64_1432`
27×	`distribute-lft-out_binary64_1393`
26×	`associate-+l-_binary64_1377`
24×	`swap-sqr_binary64_1409`
23×	`unswap-sqr_binary64_1410`
21×	`associate--r+_binary64_1378`
20×	`unpow3_binary64_1508`
19×	`pow-sqr_binary64_1415` `associate-+r-_binary64_1376`
18×	`distribute-neg-in_binary64_1403`
17×	`associate--l+_binary64_1379`
16×	`distribute-lft-out--_binary64_1394`
15×	`cube-mult_binary64_1472`
12×	`exp-to-pow_binary64_1504` `cube-unmult_binary64_1479` `unsub-neg_binary64_1436` `associate-/r/_binary64_1388`
11×	`distribute-rgt1-in_binary64_1398` `count-2_binary64_1390`
10×	`exp-diff_binary64_1490`
9×	`exp-neg_binary64_1489` `associate-/r*_binary64_1386` `associate-+l+_binary64_1375`
8×	`rem-log-exp_binary64_1483`
7×	`distribute-rgt-out--_binary64_1396`
6×	`cube-div_binary64_1471` `rem-sqrt-square_binary64_1455` `associate-/l/_binary64_1389` `associate-+r+_binary64_1374`
5×	`unpow1/2_binary64_1506` `pow-plus_binary64_1505`
4×	`log-rec_binary64_1530` `pow-base-1_binary64_1502`
3×	`exp-lft-cube_binary64_1498` `rem-exp-log_binary64_1482` `rem-square-sqrt_binary64_1454`
2×	`unpow1_binary64_1500` `distribute-lft1-in_binary64_1397` `associate--l-_binary64_1380`
1×	`log-E_binary64_1532` `unpow2_binary64_1507` `exp-sqrt_binary64_1495` `prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `distribute-neg-frac_binary64_1406`
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` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `div-exp_binary64_1493` `rec-exp_binary64_1492` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `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` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `associate--r-_binary64_1381`

Counts

142 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	4417
1	600	3847
2	1730	3773
3	4534	3773
4	4959	3773
5	4912	3773
6	5014	3773

prune236.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Error

Counts

120 → 3

Compiler

Compiled 3600 to 2868 computations (20.3% saved)

regimes167.0ms (2.8%)

Accuracy

Total 0.0b remaining (97%)

Threshold costs 0.0b (97%)

Compiler

Compiled 1693 to 1461 computations (13.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64_1373`
6×	`sub-neg_binary64_1435` `+-commutative_binary64_1372`
4×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
3×	`cancel-sign-sub-inv_binary64_1408` `distribute-rgt-neg-in_binary64_1400`
2×	`distribute-lft-neg-out_binary64_1401`
1×	`1-exp_binary64_1486` `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` `unsub-neg_binary64_1436` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403` `distribute-rgt-neg-out_binary64_1402`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	30	29
2	43	29
3	51	29
4	55	29
5	54	29

end0.0ms (0%)

sample1.3s (22.2%)

Algorithm

1×

intervals

Results

493.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 588 to 507 computations (13.8% saved)

Details

analyze227.0ms (3.8%)

sample24.0ms (0.4%)

simplify83.0ms (1.4%)

prune2.0ms (0%)

localize14.0ms (0.2%)

rewrite305.0ms (5.1%)

series283.0ms (4.8%)

simplify172.0ms (2.9%)

prune166.0ms (2.8%)

localize17.0ms (0.3%)

rewrite660.0ms (11.1%)

series322.0ms (5.4%)

simplify278.0ms (4.7%)

prune365.0ms (6.1%)

localize21.0ms (0.3%)

rewrite341.0ms (5.7%)

series725.0ms (12.2%)

simplify218.0ms (3.7%)

prune236.0ms (4%)

regimes167.0ms (2.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (22.2%)

Profiling