Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample28.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	75×	body	1024	valid
4.0ms	44×	body	512	valid
2.0ms	12×	body	2048	valid
2.0ms	98×	body	128	valid
1.0ms	27×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify110.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64_1392`
27×	`cancel-sign-sub-inv_binary64_1408`
26×	`distribute-lft-in_binary64_1391`
25×	`sub-neg_binary64_1435`
17×	`div-sub_binary64_1447`
16×	`distribute-lft-neg-out_binary64_1401`
15×	`unsub-neg_binary64_1436` `distribute-rgt-neg-in_binary64_1400`
14×	`associate-/l*_binary64_1387`
13×	`neg-mul-1_binary64_1438` `distribute-rgt-neg-out_binary64_1402` `associate-/r*_binary64_1386`
12×	`associate--r+_binary64_1378`
10×	`distribute-neg-frac_binary64_1406`
9×	`neg-sub0_binary64_1437`
8×	`distribute-neg-in_binary64_1403` `distribute-lft-neg-in_binary64_1399`
7×	`associate-l_binary64_1383` `*-commutative_binary64_1373`
6×	`-lft-identity_binary64_1431` `associate-l/_binary64_1385` `associate-r_binary64_1382` `associate--r-_binary64_1381` `+-commutative_binary64_1372`
5×	`sub0-neg_binary64_1429` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `associate-*r/_binary64_1384` `associate-+l-_binary64_1377`
3×	`*-rgt-identity_binary64_1432` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `associate--l+_binary64_1379` `associate-+l+_binary64_1375`
2×	`/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `div0_binary64_1423` `distribute-rgt1-in_binary64_1398` `associate--l-_binary64_1380`
1×	`1-exp_binary64_1486` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `associate-+r-_binary64_1376` `associate-+r+_binary64_1374`
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` `times-frac_binary64_1448` `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` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-rgt-out_binary64_1395` `count-2_binary64_1390`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

prune1.0ms (0.1%)

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

39.1b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.1b	(-.f64 (exp.f64 x) 1)

rewrite71.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

38.7b

Rules

35×	`add-sqr-sqrt_binary64_1464`
30×	`*-un-lft-identity_binary64_1442`
21×	`times-frac_binary64_1448`
15×	`add-cube-cbrt_binary64_1477`
10×	`difference-of-squares_binary64_1411`
7×	`associate-/l*_binary64_1387`
5×	`difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`cancel-sign-sub-inv_binary64_1408` `associate-/r*_binary64_1386`
2×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/l/_binary64_1389`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 893 to 496 computations (44.5% saved)

series64.0ms (2.6%)

Error

Counts

2 → 12

Calls

2 calls:

35.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
17.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify92.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-/l*_binary64_1387`
359×	`associate-*l/_binary64_1385`
294×	`associate-/l/_binary64_1389` `associate-/r*_binary64_1386`
268×	`distribute-rgt-in_binary64_1392`
267×	`associate-/r/_binary64_1388`
239×	`distribute-lft-in_binary64_1391`
185×	`div-sub_binary64_1447`
137×	`neg-mul-1_binary64_1438`
120×	`cube-div_binary64_1471`
116×	`exp-prod_binary64_1494`
111×	`log-div_binary64_1529`
86×	`times-frac_binary64_1448`
82×	`associate-l_binary64_1383`
81×	`distribute-rgt-out_binary64_1395`
78×	`associate-r_binary64_1382`
77×	`cube-prod_binary64_1470`
64×	`log-prod_binary64_1528`
58×	`*-commutative_binary64_1373`
57×	`distribute-lft-out_binary64_1393`
56×	`distribute-lft-neg-out_binary64_1401`
54×	`distribute-rgt-neg-out_binary64_1402`
50×	`associate-+l+_binary64_1375` `+-commutative_binary64_1372`
45×	`sub-neg_binary64_1435`
39×	`associate-+r+_binary64_1374`
38×	`exp-sum_binary64_1488` `distribute-frac-neg_binary64_1405`
32×	`associate-*r/_binary64_1384`
28×	`sqr-pow_binary64_1414` `distribute-neg-frac_binary64_1406`
26×	`exp-diff_binary64_1490` `cancel-sign-sub-inv_binary64_1408` `distribute-rgt-neg-in_binary64_1400`
23×	`unswap-sqr_binary64_1410`
21×	`neg-sub0_binary64_1437`
19×	`distribute-lft-neg-in_binary64_1399`
18×	`unpow3_binary64_1508` `distribute-neg-in_binary64_1403`
15×	`unsub-neg_binary64_1436`
14×	`cube-neg_binary64_1469` `sqr-neg_binary64_1456`
13×	`prod-exp_binary64_1491` `cube-unmult_binary64_1479` `/-rgt-identity_binary64_1433` `*-lft-identity_binary64_1431`
12×	`mul-1-neg_binary64_1434` `*-rgt-identity_binary64_1432` `distribute-rgt1-in_binary64_1398`
11×	`log-rec_binary64_1530`
10×	`cube-mult_binary64_1472`
9×	`div-exp_binary64_1493` `exp-neg_binary64_1489`
8×	`swap-sqr_binary64_1409`
7×	`pow-plus_binary64_1505` `rec-exp_binary64_1492`
6×	`rem-sqrt-square_binary64_1455`
5×	`distribute-lft1-in_binary64_1397` `associate-+r-_binary64_1376`
4×	`cancel-sign-sub_binary64_1407`
3×	`log-pow_binary64_1531` `unpow1/2_binary64_1506` `pow-sqr_binary64_1415` `difference-of-sqr-1_binary64_1412` `count-2_binary64_1390`
2×	`remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `associate--r+_binary64_1378` `associate-+l-_binary64_1377`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `exp-lft-sqr_binary64_1497` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `sub0-neg_binary64_1429` `div0_binary64_1423` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `associate--r-_binary64_1381` `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` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `e-exp-1_binary64_1487` `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` `rem-square-sqrt_binary64_1454` `--rgt-identity_binary64_1428` `+-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` `difference-of-squares_binary64_1411` `distribute-neg-out_binary64_1404` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate--l+_binary64_1379`

Counts

76 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1147
1	249	1094
2	556	1082
3	1324	1076
4	4324	1076
5	4961	1076

prune92.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Error

Counts

116 → 2

Compiler

Compiled 1745 to 883 computations (49.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.1b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.2b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.3b	(*.f64 x 1/24)

rewrite101.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1504 to 1164 computations (22.6% saved)

series157.0ms (6.4%)

Error

Counts

4 → 20

Calls

4 calls:

55.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
37.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
33.0ms	(+.f64 1/6 (*.f64 x 1/24))
18.0ms	(*.f64 x 1/24)

Compiler

Compiled 630 to 531 computations (15.7% saved)

simplify120.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-rgt-in_binary64_1392`
755×	`distribute-lft-in_binary64_1391`
285×	`*-commutative_binary64_1373`
254×	`sub-neg_binary64_1435`
163×	`associate-l_binary64_1383`
148×	`sqr-pow_binary64_1414`
138×	`associate--r+_binary64_1378`
132×	`associate-r_binary64_1382`
130×	`unswap-sqr_binary64_1410`
119×	`distribute-rgt-neg-in_binary64_1400`
117×	`neg-mul-1_binary64_1438`
113×	`neg-sub0_binary64_1437`
111×	`distribute-neg-in_binary64_1403`
103×	`unsub-neg_binary64_1436`
102×	`exp-prod_binary64_1494`
97×	`distribute-lft-neg-in_binary64_1399`
82×	`associate-+l+_binary64_1375`
81×	`cancel-sign-sub-inv_binary64_1408`
80×	`associate-+r+_binary64_1374`
60×	`*-lft-identity_binary64_1431`
58×	`*-rgt-identity_binary64_1432`
49×	`exp-sum_binary64_1488`
48×	`distribute-rgt-out_binary64_1395`
39×	`pow-sqr_binary64_1415`
32×	`swap-sqr_binary64_1409`
28×	`+-commutative_binary64_1372`
27×	`distribute-lft-neg-out_binary64_1401`
23×	`log-prod_binary64_1528`
20×	`distribute-rgt-neg-out_binary64_1402`
18×	`cube-prod_binary64_1470` `associate-+l-_binary64_1377`
15×	`associate--l+_binary64_1379`
12×	`unpow1/2_binary64_1506`
10×	`sub0-neg_binary64_1429`
9×	`distribute-rgt-out--_binary64_1396`
7×	`unpow3_binary64_1508` `associate-+r-_binary64_1376`
5×	`pow-plus_binary64_1505` `+-rgt-identity_binary64_1427`
4×	`log-pow_binary64_1531` `rem-sqrt-square_binary64_1455` `associate-/l*_binary64_1387`
3×	`cube-unmult_binary64_1479` `cube-mult_binary64_1472`
2×	`prod-exp_binary64_1491` `distribute-lft-out_binary64_1393` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate-*r/_binary64_1384`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `distribute-lft-out--_binary64_1394`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-rec_binary64_1530` `log-div_binary64_1529` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-square-sqrt_binary64_1454` `times-frac_binary64_1448` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `--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` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate-/r/_binary64_1388` `associate-/r_binary64_1386` `associate-*l/_binary64_1385` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

93 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1188
1	315	1089
2	1058	1083
3	3490	1083
4	4315	1083
5	4984	1083
6	4884	1083

prune136.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Error

Counts

123 → 2

Compiler

Compiled 2536 to 1949 computations (23.1% saved)

regimes111.0ms (4.6%)

Accuracy

Total 0.2b remaining (94.5%)

Threshold costs 0.2b (94.5%)

Compiler

Compiled 781 to 597 computations (23.6% saved)

bsearch20.0ms (0.8%)

Steps

Iters	Range		Point
10	-474830.7144211215	-4.2834160951288265e-11	-0.0016690370882446594

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64_1372`
5×	`*-commutative_binary64_1373`
2×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `sub-neg_binary64_1435` `*-rgt-identity_binary64_1432`
1×	`1-exp_binary64_1486` `unsub-neg_binary64_1436` `distribute-rgt-neg-out_binary64_1402`
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` `*-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-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	22	46
1	34	46
2	38	46
3	40	46
4	43	46
5	42	46
6	40	46

end0.0ms (0%)

sample1.3s (54%)

Algorithm

1×

intervals

Results

411.0ms	2669×	body	1024	valid
110.0ms	1332×	body	512	valid
73.0ms	3090×	body	128	valid
47.0ms	253×	body	2048	valid
35.0ms	656×	body	256	valid

Compiler

Compiled 433 to 328 computations (24.2% saved)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Details

analyze4.0ms (0.1%)

sample28.0ms (1.2%)

simplify110.0ms (4.5%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite71.0ms (2.9%)

series64.0ms (2.6%)

simplify92.0ms (3.8%)

prune92.0ms (3.8%)

localize8.0ms (0.3%)

rewrite101.0ms (4.1%)

series157.0ms (6.4%)

simplify120.0ms (4.9%)

prune136.0ms (5.6%)

regimes111.0ms (4.6%)

bsearch20.0ms (0.8%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.3s (54%)

Profiling

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9