Details

analyze334.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

889×	`associate-/r*_binary64_1386`
839×	`neg-mul-1_binary64_1438`
735×	`sub-neg_binary64_1435`
637×	`neg-sub0_binary64_1437`
568×	`associate-/l/_binary64_1389`
553×	`distribute-rgt-in_binary64_1392`
548×	`distribute-rgt-neg-out_binary64_1402`
516×	`unsub-neg_binary64_1436`
509×	`distribute-lft-neg-out_binary64_1401`
439×	`distribute-lft-in_binary64_1391`
421×	`distribute-rgt-neg-in_binary64_1400`
303×	`associate--r+_binary64_1378`
292×	`distribute-neg-in_binary64_1403`
243×	`distribute-lft-out--_binary64_1394`
221×	`remove-double-neg_binary64_1430`
220×	`distribute-lft-out_binary64_1393`
195×	`*-commutative_binary64_1373`
183×	`associate--l+_binary64_1379`
147×	`--rgt-identity_binary64_1428`
133×	`associate-l_binary64_1383`
124×	`distribute-rgt-out--_binary64_1396`
123×	`associate--l-_binary64_1380`
121×	`associate-r_binary64_1382`
114×	`*-lft-identity_binary64_1431`
110×	`*-rgt-identity_binary64_1432` `+-commutative_binary64_1372`
108×	`distribute-lft-neg-in_binary64_1399`
107×	`cancel-sign-sub-inv_binary64_1408`
103×	`associate--r-_binary64_1381`
91×	`sub0-neg_binary64_1429`
86×	`associate-+l-_binary64_1377`
68×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
53×	`distribute-rgt-out_binary64_1395`
47×	`+-lft-identity_binary64_1426`
46×	`distribute-neg-out_binary64_1404`
33×	`associate-+r+_binary64_1374`
28×	`distribute-rgt1-in_binary64_1398`
12×	`cancel-sign-sub_binary64_1407` `associate-+l+_binary64_1375`
11×	`/-rgt-identity_binary64_1433` `distribute-lft1-in_binary64_1397` `associate-+r-_binary64_1376`
10×	`+-rgt-identity_binary64_1427`
6×	`mul-1-neg_binary64_1434`
2×	`+-inverses_binary64_1421`
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` `div-sub_binary64_1447` `div0_binary64_1423` `-inverses_binary64_1422` `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` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `count-2_binary64_1390` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-l/_binary64_1385` `associate-r/_binary64_1384`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	102	28
3	247	28
4	623	28
5	883	28
6	1301	28
7	2726	28
8	3095	28
9	3370	28
10	3431	28
11	3460	28
12	3552	28
13	4935	28
14	4948	28
15	4655	28
16	4895	28
17	4843	28
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 21 to 17 computations (19% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify188.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

889×	`associate-/r*_binary64_1386`
839×	`neg-mul-1_binary64_1438`
735×	`sub-neg_binary64_1435`
637×	`neg-sub0_binary64_1437`
568×	`associate-/l/_binary64_1389`
553×	`distribute-rgt-in_binary64_1392`
548×	`distribute-rgt-neg-out_binary64_1402`
516×	`unsub-neg_binary64_1436`
509×	`distribute-lft-neg-out_binary64_1401`
439×	`distribute-lft-in_binary64_1391`
421×	`distribute-rgt-neg-in_binary64_1400`
303×	`associate--r+_binary64_1378`
292×	`distribute-neg-in_binary64_1403`
243×	`distribute-lft-out--_binary64_1394`
221×	`remove-double-neg_binary64_1430`
220×	`distribute-lft-out_binary64_1393`
195×	`*-commutative_binary64_1373`
183×	`associate--l+_binary64_1379`
147×	`--rgt-identity_binary64_1428`
133×	`associate-l_binary64_1383`
124×	`distribute-rgt-out--_binary64_1396`
123×	`associate--l-_binary64_1380`
121×	`associate-r_binary64_1382`
114×	`*-lft-identity_binary64_1431`
110×	`*-rgt-identity_binary64_1432` `+-commutative_binary64_1372`
108×	`distribute-lft-neg-in_binary64_1399`
107×	`cancel-sign-sub-inv_binary64_1408`
103×	`associate--r-_binary64_1381`
91×	`sub0-neg_binary64_1429`
86×	`associate-+l-_binary64_1377`
68×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
53×	`distribute-rgt-out_binary64_1395`
47×	`+-lft-identity_binary64_1426`
46×	`distribute-neg-out_binary64_1404`
33×	`associate-+r+_binary64_1374`
28×	`distribute-rgt1-in_binary64_1398`
12×	`cancel-sign-sub_binary64_1407` `associate-+l+_binary64_1375`
11×	`/-rgt-identity_binary64_1433` `distribute-lft1-in_binary64_1397` `associate-+r-_binary64_1376`
10×	`+-rgt-identity_binary64_1427`
6×	`mul-1-neg_binary64_1434`
2×	`+-inverses_binary64_1421`
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` `div-sub_binary64_1447` `div0_binary64_1423` `-inverses_binary64_1422` `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` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `count-2_binary64_1390` `associate-/r/_binary64_1388` `associate-/l_binary64_1387` `associate-l/_binary64_1385` `associate-r/_binary64_1384`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	102	28
3	247	28
4	623	28
5	883	28
6	1301	28
7	2726	28
8	3095	28
9	3370	28
10	3431	28
11	3460	28
12	3552	28
13	4935	28
14	4948	28
15	4655	28
16	4895	28
17	4843	28

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
0.0b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
0.2b	(.f64 (.f64 v v) 6)

rewrite210.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
18×	`add-sqr-sqrt_binary64_1464`
14×	`sqrt-div_binary64_1459`
13×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`pow1_binary64_1503` `-un-lft-identity_binary64_1442` `associate-r/_binary64_1384`
11×	`add-cube-cbrt_binary64_1477`
9×	`associate-r_binary64_1382`
8×	`frac-times_binary64_1452` `associate-/r/_binary64_1388`
7×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-prod_binary64_1458`
6×	`associate-l_binary64_1383`
4×	`pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `associate-*l/_binary64_1385`
3×	`unswap-sqr_binary64_1410` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
2×	`*-commutative_binary64_1373` `difference-of-squares_binary64_1411`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 97

Calls

4 calls:

16.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
10.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
7.0ms	(.f64 (.f64 v v) 6)
3.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))

Compiler

Compiled 3000 to 1909 computations (36.4% saved)

series362.0ms (7.1%)

Error

Counts

4 → 21

Calls

4 calls:

149.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
80.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
52.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
42.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1345 to 1161 computations (13.7% saved)

simplify151.0ms (3%)

Algorithm

1×	egg-herbie

Rules

412×	`distribute-rgt-in_binary64_1392`
384×	`distribute-lft-in_binary64_1391`
274×	`cancel-sign-sub-inv_binary64_1408`
227×	`associate-r_binary64_1382`
208×	`associate-l_binary64_1383`
204×	`distribute-rgt-neg-in_binary64_1400`
172×	`distribute-lft-neg-in_binary64_1399`
161×	`associate-/r*_binary64_1386`
154×	`times-frac_binary64_1448`
145×	`*-commutative_binary64_1373`
116×	`sub-neg_binary64_1435`
110×	`associate-/l*_binary64_1387`
84×	`+-commutative_binary64_1372`
66×	`associate-+r+_binary64_1374`
55×	`associate-+l+_binary64_1375`
54×	`distribute-neg-in_binary64_1403`
53×	`neg-sub0_binary64_1437` `distribute-neg-frac_binary64_1406`
50×	`neg-mul-1_binary64_1438`
45×	`sqr-pow_binary64_1414`
41×	`exp-prod_binary64_1494`
40×	`distribute-lft-neg-out_binary64_1401`
37×	`log-prod_binary64_1528` `associate-*r/_binary64_1384`
36×	`associate-*l/_binary64_1385` `associate--r+_binary64_1378`
29×	`associate--l+_binary64_1379`
27×	`unswap-sqr_binary64_1410`
26×	`distribute-rgt-out_binary64_1395`
25×	`unsub-neg_binary64_1436`
23×	`distribute-rgt-neg-out_binary64_1402`
21×	`*-lft-identity_binary64_1431`
20×	`cube-prod_binary64_1470`
19×	`swap-sqr_binary64_1409`
18×	`*-rgt-identity_binary64_1432`
17×	`log-div_binary64_1529` `unpow3_binary64_1508`
10×	`associate-/r/_binary64_1388`
7×	`cube-unmult_binary64_1479` `cube-mult_binary64_1472` `distribute-lft-out_binary64_1393`
6×	`pow-plus_binary64_1505` `cube-div_binary64_1471` `/-rgt-identity_binary64_1433`
5×	`exp-sum_binary64_1488` `distribute-rgt1-in_binary64_1398`
3×	`log-pow_binary64_1531` `unpow1/2_binary64_1506` `prod-exp_binary64_1491` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434`
2×	`exp-diff_binary64_1490` `rem-sqrt-square_binary64_1455`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `unpow-1_binary64_1499` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `pow-sqr_binary64_1415` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `count-2_binary64_1390`
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-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-neg_binary64_1489` `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` `div-sub_binary64_1447` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`

Counts

118 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	3198
1	688	2877
2	2667	2843
3	4952	2843
4	4992	2843
5	4943	2843

prune158.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Error

Counts

99 → 3

Compiler

Compiled 2739 to 1863 computations (32% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (+.f64 1 v) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) (-.f64 1 v)))))
0.0b	(.f64 (+.f64 1 v) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 v)))
0.0b	(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) (-.f64 1 v))
0.2b	(.f64 6 (.f64 v v))

rewrite468.0ms (9.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`frac-times_binary64_1452`
56×	`associate-*r/_binary64_1384`
42×	`flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
30×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
26×	`associate-/r/_binary64_1388`
25×	`add-sqr-sqrt_binary64_1464`
22×	`*-un-lft-identity_binary64_1442`
20×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
18×	`cancel-sign-sub-inv_binary64_1408` `associate-*l/_binary64_1385` `flip3-+_binary64_1445` `flip-+_binary64_1416`
17×	`add-cube-cbrt_binary64_1477`
16×	`pow1_binary64_1503`
13×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383`
8×	`associate-r_binary64_1382`
7×	`pow-prod-down_binary64_1513`
6×	`sub-neg_binary64_1435`
4×	`add-log-exp_binary64_1481` `sqrt-prod_binary64_1458` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
3×	`unswap-sqr_binary64_1410` `-commutative_binary64_1373` `times-frac_binary64_1448` `associate-/l_binary64_1387`
2×	`difference-of-squares_binary64_1411`
1×	`distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 172

Calls

4 calls:

20.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (+.f64 1 v) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) (-.f64 1 v)))))
16.0ms	(.f64 (+.f64 1 v) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 v)))
14.0ms	(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) (-.f64 1 v))
6.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 6612 to 4611 computations (30.3% saved)

series361.0ms (7.1%)

Error

Counts

4 → 21

Calls

4 calls:

158.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (+.f64 1 v) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) (-.f64 1 v)))))
82.0ms	(.f64 (+.f64 1 v) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 v)))
42.0ms	(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) (-.f64 1 v))
41.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1306 to 1144 computations (12.4% saved)

simplify209.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

561×	`associate-r_binary64_1382`
451×	`associate-l_binary64_1383`
312×	`*-commutative_binary64_1373`
285×	`associate-/r*_binary64_1386`
253×	`cancel-sign-sub-inv_binary64_1408`
238×	`distribute-rgt-in_binary64_1392`
230×	`distribute-lft-in_binary64_1391`
132×	`times-frac_binary64_1448`
122×	`sub-neg_binary64_1435`
100×	`associate-/l*_binary64_1387`
93×	`+-commutative_binary64_1372`
72×	`associate-+r+_binary64_1374`
66×	`neg-sub0_binary64_1437`
63×	`log-prod_binary64_1528`
58×	`neg-mul-1_binary64_1438`
57×	`*-lft-identity_binary64_1431` `associate-+l+_binary64_1375`
55×	`*-rgt-identity_binary64_1432`
47×	`sqr-pow_binary64_1414`
41×	`unsub-neg_binary64_1436`
38×	`exp-prod_binary64_1494`
37×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
36×	`swap-sqr_binary64_1409`
35×	`associate--r+_binary64_1378`
34×	`distribute-rgt-neg-in_binary64_1400`
33×	`cube-prod_binary64_1470`
32×	`associate--l+_binary64_1379`
28×	`distribute-lft-neg-in_binary64_1399`
26×	`unswap-sqr_binary64_1410`
25×	`unpow3_binary64_1508`
18×	`log-div_binary64_1529` `distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-out_binary64_1401`
15×	`distribute-neg-in_binary64_1403`
12×	`exp-sum_binary64_1488`
11×	`cube-unmult_binary64_1479`
10×	`associate-/r/_binary64_1388`
7×	`cube-div_binary64_1471`
6×	`distribute-rgt-out_binary64_1395`
5×	`cube-mult_binary64_1472`
4×	`rem-square-sqrt_binary64_1454`
3×	`log-pow_binary64_1531` `mul-1-neg_binary64_1434` `pow-sqr_binary64_1415`
2×	`pow-plus_binary64_1505` `rem-sqrt-square_binary64_1455` `distribute-rgt1-in_binary64_1398` `associate-+r-_binary64_1376`
1×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `exp-diff_binary64_1490` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-3cbrt-lft_binary64_1467` `div-sub_binary64_1447` `+-rgt-identity_binary64_1427` `difference-of-sqr--1_binary64_1413` `difference-of-squares_binary64_1411` `distribute-neg-frac_binary64_1406` `distribute-rgt-out--_binary64_1396` `count-2_binary64_1390` `associate-+l-_binary64_1377`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-rec_binary64_1530` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `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` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr-1_binary64_1412` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `associate-/l/_binary64_1389` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

193 → 156

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	420	6472
1	1104	5923
2	4252	5923
3	4976	5923
4	4951	5923

prune333.0ms (6.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	156	3	159

Error

Counts

159 → 3

Compiler

Compiled 5243 to 3716 computations (29.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
0.0b	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
0.2b	(.f64 6 (.f64 v v))
1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

rewrite237.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
23×	`pow1_binary64_1503`
18×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-*r/_binary64_1384`
13×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`add-sqr-sqrt_binary64_1464` `sqrt-div_binary64_1459` `pow-prod-down_binary64_1513` `associate-r_binary64_1382`
11×	`*-un-lft-identity_binary64_1442`
10×	`add-cube-cbrt_binary64_1477`
8×	`frac-times_binary64_1452` `associate-/r/_binary64_1388`
5×	`associate-l_binary64_1383`
4×	`div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `associate-*l/_binary64_1385`
3×	`times-frac_binary64_1448` `associate-/l_binary64_1387` `-commutative_binary64_1373` `sqrt-prod_binary64_1458`
2×	`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×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386` `unswap-sqr_binary64_1410`

Counts

4 → 110

Calls

4 calls:

14.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
13.0ms	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
8.0ms	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
6.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 3633 to 2392 computations (34.2% saved)

series457.0ms (9%)

Error

Counts

4 → 21

Calls

4 calls:

161.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
113.0ms	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
106.0ms	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
40.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1442 to 1225 computations (15% saved)

simplify117.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

505×	`distribute-rgt-in_binary64_1392`
434×	`associate-l_binary64_1383`
369×	`associate-r_binary64_1382`
286×	`cancel-sign-sub-inv_binary64_1408`
215×	`distribute-rgt-neg-in_binary64_1400`
210×	`*-commutative_binary64_1373`
194×	`distribute-lft-neg-in_binary64_1399`
180×	`associate-/r*_binary64_1386`
149×	`associate-/l*_binary64_1387`
144×	`times-frac_binary64_1448`
103×	`sub-neg_binary64_1435`
86×	`+-commutative_binary64_1372`
67×	`associate-+r+_binary64_1374`
64×	`distribute-neg-in_binary64_1403`
58×	`associate-+l+_binary64_1375`
53×	`neg-sub0_binary64_1437`
52×	`neg-mul-1_binary64_1438` `sqr-pow_binary64_1414`
51×	`log-prod_binary64_1528`
47×	`exp-prod_binary64_1494`
44×	`*-lft-identity_binary64_1431`
42×	`distribute-neg-frac_binary64_1406` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
38×	`swap-sqr_binary64_1409`
37×	`cube-prod_binary64_1470` `distribute-rgt-out_binary64_1395`
32×	`distribute-lft-neg-out_binary64_1401`
31×	`distribute-lft-in_binary64_1391` `associate--r+_binary64_1378`
28×	`*-rgt-identity_binary64_1432`
27×	`associate--l+_binary64_1379`
23×	`unswap-sqr_binary64_1410`
22×	`distribute-rgt-neg-out_binary64_1402`
20×	`unsub-neg_binary64_1436`
15×	`div-sub_binary64_1447`
12×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
9×	`log-div_binary64_1529` `/-rgt-identity_binary64_1433` `distribute-rgt-out--_binary64_1396`
8×	`cube-unmult_binary64_1479`
7×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `distribute-lft-out_binary64_1393`
4×	`exp-sum_binary64_1488` `cube-div_binary64_1471` `distribute-rgt1-in_binary64_1398`
3×	`rem-square-sqrt_binary64_1454` `pow-sqr_binary64_1415`
2×	`pow-plus_binary64_1505` `exp-lft-cube_binary64_1498` `exp-diff_binary64_1490` `rem-sqrt-square_binary64_1455`
1×	`log-pow_binary64_1531` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-rec_binary64_1530` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `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` `mul-1-neg_binary64_1434` `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` `associate--l-_binary64_1380` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`

Counts

131 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	3988
1	799	3326
2	3317	3280
3	5019	3280

prune183.0ms (3.6%)

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 3184 to 2176 computations (31.7% saved)

regimes188.0ms (3.7%)

Accuracy

Total 0.0b remaining (93.9%)

Threshold costs 0.0b (93.9%)

Compiler

Compiled 1884 to 1580 computations (16.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg_binary64_1435` `*-commutative_binary64_1373` `+-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	28
1	29	28
2	42	28
3	50	28
4	54	28
5	53	28

end0.0ms (0%)

sample1.1s (20.8%)

Algorithm

1×

intervals

Results

439.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 445 to 370 computations (16.9% saved)

Details

analyze334.0ms (6.6%)

sample23.0ms (0.4%)

simplify188.0ms (3.7%)

prune7.0ms (0.1%)

localize16.0ms (0.3%)

rewrite210.0ms (4.1%)

series362.0ms (7.1%)

simplify151.0ms (3%)

prune158.0ms (3.1%)

localize14.0ms (0.3%)

rewrite468.0ms (9.2%)

series361.0ms (7.1%)

simplify209.0ms (4.1%)

prune333.0ms (6.5%)

localize13.0ms (0.3%)

rewrite237.0ms (4.7%)

series457.0ms (9%)

simplify117.0ms (2.3%)

prune183.0ms (3.6%)

regimes188.0ms (3.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (20.8%)

Profiling