Details

analyze328.0ms (6.1%)

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)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify185.0ms (3.5%)

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

prune6.0ms (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)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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 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)

rewrite229.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
22×	`associate-*r/_binary64_1384`
18×	`flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
17×	`add-sqr-sqrt_binary64_1464`
16×	`pow1_binary64_1503`
12×	`*-un-lft-identity_binary64_1442` `frac-times_binary64_1452`
11×	`add-cube-cbrt_binary64_1477`
10×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r_binary64_1382`
9×	`associate-l_binary64_1383`
8×	`associate-/r/_binary64_1388`
7×	`pow-prod-down_binary64_1513`
6×	`associate-*l/_binary64_1385`
4×	`add-log-exp_binary64_1481` `sqrt-prod_binary64_1458`
3×	`unswap-sqr_binary64_1410` `-commutative_binary64_1373` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `times-frac_binary64_1448` `associate-/l_binary64_1387`
2×	`difference-of-squares_binary64_1411`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 108

Calls

4 calls:

11.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
10.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
9.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 3487 to 2187 computations (37.3% saved)

series425.0ms (7.9%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

162.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
97.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
84.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
41.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1434 to 1240 computations (13.5% saved)

simplify136.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

428×	`distribute-rgt-in_binary64_1392`
359×	`cancel-sign-sub-inv_binary64_1408`
265×	`associate-r_binary64_1382`
238×	`associate-l_binary64_1383`
229×	`neg-mul-1_binary64_1438`
223×	`distribute-rgt-neg-in_binary64_1400`
184×	`distribute-lft-neg-in_binary64_1399`
175×	`times-frac_binary64_1448` `associate-/r*_binary64_1386`
163×	`*-commutative_binary64_1373`
150×	`associate-/l*_binary64_1387`
147×	`sub-neg_binary64_1435`
98×	`+-commutative_binary64_1372`
78×	`distribute-neg-in_binary64_1403`
75×	`associate-+r+_binary64_1374`
69×	`exp-prod_binary64_1494`
66×	`associate-+l+_binary64_1375`
61×	`neg-sub0_binary64_1437`
50×	`distribute-neg-frac_binary64_1406`
49×	`sqr-pow_binary64_1414`
48×	`associate--r+_binary64_1378`
47×	`distribute-lft-neg-out_binary64_1401`
46×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
40×	`log-prod_binary64_1528`
39×	`associate--l+_binary64_1379`
37×	`cube-prod_binary64_1470`
35×	`distribute-lft-in_binary64_1391`
31×	`unsub-neg_binary64_1436`
27×	`unswap-sqr_binary64_1410`
26×	`distribute-rgt-out_binary64_1395`
25×	`distribute-rgt-neg-out_binary64_1402`
24×	`*-lft-identity_binary64_1431`
21×	`*-rgt-identity_binary64_1432` `swap-sqr_binary64_1409`
18×	`exp-sum_binary64_1488` `div-sub_binary64_1447`
17×	`unpow3_binary64_1508`
16×	`cube-div_binary64_1471`
15×	`cube-mult_binary64_1472` `associate-/r/_binary64_1388`
14×	`log-div_binary64_1529`
9×	`cube-unmult_binary64_1479`
7×	`/-rgt-identity_binary64_1433` `distribute-lft-out_binary64_1393`
5×	`pow-plus_binary64_1505` `distribute-rgt1-in_binary64_1398`
4×	`exp-diff_binary64_1490` `distribute-rgt-out--_binary64_1396`
3×	`unpow1/2_binary64_1506` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434`
2×	`log-pow_binary64_1531` `exp-neg_binary64_1489` `pow-sqr_binary64_1415`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `sqr-neg_binary64_1456` `distribute-lft1-in_binary64_1397` `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-cube_binary64_1498` `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` `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

129 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	3874
1	772	3457
2	3063	3412
3	4829	3412
4	5077	3412

prune180.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Error

Counts

110 → 3

Compiler

Compiled 3152 to 2129 computations (32.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite277.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
15×	`add-sqr-sqrt_binary64_1464`
12×	`prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477` `cbrt-unprod_binary64_1475` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
10×	`associate-r_binary64_1382` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
9×	`times-frac_binary64_1448`
8×	`associate-/l/_binary64_1389`
6×	`associate-l_binary64_1383` `flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
5×	`associate-/r/_binary64_1388`
4×	`pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `associate-r/_binary64_1384` `frac-times_binary64_1452` `associate-/l_binary64_1387` `associate-/r*_binary64_1386`
3×	`div-inv_binary64_1439`
2×	`unswap-sqr_binary64_1410` `-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-l/_binary64_1385`

Counts

4 → 105

Calls

4 calls:

15.0ms	(.f64 PI.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v))))
14.0ms	(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
14.0ms	(/.f64 4/3 (.f64 PI.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))
6.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 4008 to 2718 computations (32.2% saved)

series462.0ms (8.6%)

Error

Counts

4 → 21

Calls

4 calls:

173.0ms	(/.f64 4/3 (.f64 PI.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))
108.0ms	(.f64 PI.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v))))
101.0ms	(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
44.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1488 to 1285 computations (13.6% saved)

simplify150.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

283×	`times-frac_binary64_1448`
271×	`associate-r_binary64_1382`
253×	`cancel-sign-sub-inv_binary64_1408` `associate-/l*_binary64_1387`
241×	`associate-l_binary64_1383`
190×	`associate-/r*_binary64_1386`
180×	`div-sub_binary64_1447`
157×	`sub-neg_binary64_1435`
155×	`*-commutative_binary64_1373`
139×	`distribute-rgt-neg-in_binary64_1400`
114×	`distribute-lft-neg-in_binary64_1399`
109×	`associate-*r/_binary64_1384`
98×	`distribute-rgt-in_binary64_1392`
96×	`+-commutative_binary64_1372`
94×	`distribute-lft-in_binary64_1391`
92×	`associate-*l/_binary64_1385`
85×	`distribute-neg-in_binary64_1403`
82×	`distribute-neg-frac_binary64_1406`
76×	`associate-+r+_binary64_1374`
67×	`associate-+l+_binary64_1375`
64×	`log-prod_binary64_1528`
56×	`log-div_binary64_1529` `associate-/r/_binary64_1388`
55×	`neg-sub0_binary64_1437`
52×	`cube-div_binary64_1471` `neg-mul-1_binary64_1438`
50×	`cube-prod_binary64_1470`
49×	`associate--r+_binary64_1378`
48×	`distribute-rgt-out_binary64_1395`
45×	`*-rgt-identity_binary64_1432`
42×	`*-lft-identity_binary64_1431`
41×	`sqr-pow_binary64_1414` `associate--l+_binary64_1379`
38×	`/-rgt-identity_binary64_1433`
33×	`unsub-neg_binary64_1436`
30×	`unswap-sqr_binary64_1410`
27×	`exp-prod_binary64_1494`
26×	`associate-/l/_binary64_1389`
25×	`distribute-lft-neg-out_binary64_1401`
24×	`unpow3_binary64_1508`
22×	`cube-mult_binary64_1472`
19×	`swap-sqr_binary64_1409`
12×	`cube-unmult_binary64_1479`
9×	`distribute-rgt-neg-out_binary64_1402`
5×	`pow-plus_binary64_1505` `distribute-rgt-out--_binary64_1396`
4×	`distribute-rgt1-in_binary64_1398`
3×	`rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `pow-sqr_binary64_1415`
2×	`log-pow_binary64_1531` `log-rec_binary64_1530` `unpow1/2_binary64_1506` `rem-sqrt-square_binary64_1455` `associate--r-_binary64_1381` `associate-+r-_binary64_1376`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `exp-diff_binary64_1490` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `sqr-neg_binary64_1456` `remove-double-neg_binary64_1430` `*-inverses_binary64_1422` `rgt-mult-inverse_binary64_1419` `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` `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` `exp-sum_binary64_1488` `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` `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_1421` `lft-mult-inverse_binary64_1420` `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-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `associate--l-_binary64_1380`

Counts

126 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	4889
1	845	4011
2	3689	3952
3	4601	3952
4	5081	3952

prune180.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Error

Counts

103 → 3

Compiler

Compiled 3302 to 2313 computations (30% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite326.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`add-exp-log_binary64_1480`
37×	`add-cbrt-cube_binary64_1478`
32×	`add-sqr-sqrt_binary64_1464`
22×	`associate-r_binary64_1382`
21×	`prod-exp_binary64_1491` `-un-lft-identity_binary64_1442` `associate-l*_binary64_1383`
19×	`add-cube-cbrt_binary64_1477`
18×	`flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
17×	`times-frac_binary64_1448`
16×	`div-exp_binary64_1493` `associate-/r/_binary64_1388`
13×	`pow1_binary64_1503` `cbrt-unprod_binary64_1475` `frac-times_binary64_1452`
9×	`cbrt-undiv_binary64_1476`
7×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
6×	`unswap-sqr_binary64_1410`
5×	`pow-prod-down_binary64_1513`
4×	`add-log-exp_binary64_1481` `sqrt-prod_binary64_1458`
3×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `div-inv_binary64_1439` `-commutative_binary64_1373` `associate-/l_binary64_1387`
2×	`difference-of-squares_binary64_1411`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/r*_binary64_1386`

Counts

4 → 141

Calls

4 calls:

18.0ms	(.f64 (/.f64 1 PI.f64) (/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))))
9.0ms	(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
9.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
6.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 4784 to 3151 computations (34.1% saved)

series434.0ms (8.1%)

Error

Counts

4 → 21

Calls

4 calls:

161.0ms	(.f64 (/.f64 1 PI.f64) (/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))))
122.0ms	(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
77.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
36.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1540 to 1368 computations (11.2% saved)

simplify195.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

321×	`cancel-sign-sub-inv_binary64_1408`
264×	`associate-r_binary64_1382`
243×	`distribute-rgt-in_binary64_1392`
242×	`times-frac_binary64_1448`
218×	`associate-l_binary64_1383`
205×	`distribute-rgt-neg-in_binary64_1400`
191×	`associate-/l*_binary64_1387`
187×	`associate-/r_binary64_1386` `-commutative_binary64_1373`
177×	`distribute-lft-neg-in_binary64_1399`
141×	`associate-*r/_binary64_1384`
140×	`associate-*l/_binary64_1385`
136×	`sub-neg_binary64_1435`
117×	`+-commutative_binary64_1372`
112×	`associate-+r+_binary64_1374`
87×	`associate-+l+_binary64_1375`
80×	`log-prod_binary64_1528`
61×	`exp-prod_binary64_1494`
57×	`distribute-neg-frac_binary64_1406`
54×	`*-lft-identity_binary64_1431`
51×	`distribute-neg-in_binary64_1403`
50×	`neg-sub0_binary64_1437` `sqr-pow_binary64_1414` `distribute-rgt-out_binary64_1395`
49×	`neg-mul-1_binary64_1438`
48×	`log-div_binary64_1529`
42×	`associate--l+_binary64_1379`
36×	`distribute-lft-neg-out_binary64_1401`
32×	`associate--r+_binary64_1378`
31×	`distribute-lft-in_binary64_1391`
30×	`*-rgt-identity_binary64_1432`
27×	`unsub-neg_binary64_1436`
23×	`unpow3_binary64_1508`
22×	`distribute-lft-out_binary64_1393`
21×	`unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `distribute-rgt-neg-out_binary64_1402`
19×	`cube-prod_binary64_1470`
16×	`cube-div_binary64_1471` `/-rgt-identity_binary64_1433` `associate-/l/_binary64_1389`
14×	`div-sub_binary64_1447`
11×	`associate-+r-_binary64_1376`
10×	`associate-+l-_binary64_1377`
8×	`cube-unmult_binary64_1479`
7×	`log-rec_binary64_1530` `distribute-rgt1-in_binary64_1398` `associate-/r/_binary64_1388`
6×	`cube-mult_binary64_1472`
5×	`exp-diff_binary64_1490` `exp-sum_binary64_1488`
4×	`unpow1/2_binary64_1506` `pow-plus_binary64_1505`
3×	`log-pow_binary64_1531` `rem-square-sqrt_binary64_1454` `pow-sqr_binary64_1415`
2×	`rem-sqrt-square_binary64_1455` `mul-1-neg_binary64_1434` `sub0-neg_binary64_1429` `+-rgt-identity_binary64_1427` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `associate--r-_binary64_1381`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `remove-double-neg_binary64_1430` `+-lft-identity_binary64_1426` `distribute-neg-out_binary64_1404` `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` `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-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `--rgt-identity_binary64_1428` `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-lft-out--_binary64_1394` `associate--l-_binary64_1380`

Counts

162 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	5100
1	891	4430
2	3519	4375
3	4880	4375
4	4989	4375
5	4940	4375

prune234.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	145	3	148

Error

Counts

148 → 3

Compiler

Compiled 4198 to 2878 computations (31.4% saved)

regimes271.0ms (5.1%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 3236 to 2596 computations (19.8% 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	28
1	29	28
2	41	28
3	49	28
4	54	28
5	55	28
6	54	28

end0.0ms (0%)

sample1.3s (23.7%)

Algorithm

1×

intervals

Results

389.0ms	8000×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 783 to 624 computations (20.3% saved)

Details

analyze328.0ms (6.1%)

sample24.0ms (0.5%)

simplify185.0ms (3.5%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite229.0ms (4.3%)

series425.0ms (7.9%)

simplify136.0ms (2.6%)

prune180.0ms (3.4%)

localize14.0ms (0.3%)

rewrite277.0ms (5.2%)

series462.0ms (8.6%)

simplify150.0ms (2.8%)

prune180.0ms (3.4%)

localize12.0ms (0.2%)

rewrite326.0ms (6.1%)

series434.0ms (8.1%)

simplify195.0ms (3.6%)

prune234.0ms (4.4%)

regimes271.0ms (5.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (23.7%)

Profiling