Details

analyze0.0ms (0%)

Algorithm

1×

random

sample33.0ms (0%)

Algorithm

1×

intervals

Results

25.0ms

256×

body

128

valid

Compiler

Compiled 89 to 89 computations (0% saved)

simplify263.0ms (0%)

Algorithm

1×	egg-herbie

Rules

451×	`+-commutative_binary64_1372`
449×	`associate-+l+_binary64_1375`
436×	`distribute-rgt-in_binary64_1392`
378×	`associate-+r+_binary64_1374`
372×	`distribute-rgt-neg-in_binary64_1400`
366×	`cancel-sign-sub-inv_binary64_1408`
290×	`distribute-lft-in_binary64_1391`
259×	`associate-l_binary64_1383`
258×	`distribute-lft-neg-in_binary64_1399`
254×	`unsub-neg_binary64_1436`
232×	`associate--r+_binary64_1378`
222×	`*-commutative_binary64_1373`
204×	`unswap-sqr_binary64_1410` `associate-r_binary64_1382`
153×	`sub-neg_binary64_1435`
138×	`associate--l+_binary64_1379`
135×	`neg-mul-1_binary64_1438`
133×	`neg-sub0_binary64_1437`
99×	`associate-/l/_binary64_1389`
91×	`distribute-lft-neg-out_binary64_1401`
88×	`distribute-neg-in_binary64_1403`
68×	`associate-/l*_binary64_1387`
63×	`distribute-rgt-neg-out_binary64_1402`
56×	`distribute-rgt-out_binary64_1395`
55×	`sqr-pow_binary64_1414`
42×	`associate-*r/_binary64_1384`
37×	`pow-sqr_binary64_1415`
34×	`associate-+l-_binary64_1377`
33×	`associate-+r-_binary64_1376`
31×	`remove-double-neg_binary64_1430`
27×	`times-frac_binary64_1448` `associate--r-_binary64_1381`
20×	`distribute-rgt-out--_binary64_1396`
18×	`associate-/r/_binary64_1388`
17×	`cancel-sign-sub_binary64_1407`
16×	`associate--l-_binary64_1380`
15×	`distribute-lft-out_binary64_1393`
13×	`sub0-neg_binary64_1429` `associate-*l/_binary64_1385`
11×	`cube-unmult_binary64_1479`
8×	`mul0-lft_binary64_1424` `associate-/r*_binary64_1386`
7×	`pow-plus_binary64_1505` `/-rgt-identity_binary64_1433` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `mul0-rgt_binary64_1425` `distribute-lft-out--_binary64_1394`
4×	`distribute-rgt1-in_binary64_1398`
3×	`cube-prod_binary64_1470`
2×	`distribute-lft1-in_binary64_1397` `count-2_binary64_1390`
1×	`1-exp_binary64_1486` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `*-inverses_binary64_1422`
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` `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-mult_binary64_1472` `cube-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `+-lft-identity_binary64_1426` `div0_binary64_1423` `+-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` `swap-sqr_binary64_1409` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	64
1	83	64
2	241	64
3	751	64
4	2168	64
5	3290	64

prune16.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

58.1b

Counts

6 → 1

Compiler

Compiled 258 to 258 computations (0% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6))
1.0b	(*.f64 1335/4 (pow.f64 33096 6))
1.0b	(*.f64 11/2 (pow.f64 33096 8))
62.0b	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (.f64 77617 77617) (+.f64 (-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))

rewrite552.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

58.1b

Rules

22×	`add-sqr-sqrt_binary64_1464`
18×	`add-log-exp_binary64_1481`
14×	`add-exp-log_binary64_1480` `-un-lft-identity_binary64_1442` `associate-r*_binary64_1382`
12×	`add-cube-cbrt_binary64_1477`
11×	`unpow-prod-down_binary64_1521`
8×	`sum-log_binary64_1533` `add-cbrt-cube_binary64_1478`
7×	`cancel-sign-sub-inv_binary64_1408`
6×	`prod-exp_binary64_1491` `unswap-sqr_binary64_1410` `associate-l_binary64_1383`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `sqr-pow_binary64_1414`
4×	`pow1_binary64_1503` `frac-add_binary64_1450`
2×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`
1×	`distribute-lft-out_binary64_1393` `associate-+l+_binary64_1375` `associate-+r+_binary64_1374` `+-commutative_binary64_1372` `diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417`

Counts

4 → 89

Calls

4 calls:

30.0ms	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (.f64 77617 77617) (+.f64 (-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))
15.0ms	(-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6))
6.0ms	(*.f64 1335/4 (pow.f64 33096 6))
5.0ms	(*.f64 11/2 (pow.f64 33096 8))

Compiler

Compiled 5640 to 5640 computations (0% saved)

series1.0ms (0%)

Error

58.1b

Counts

4 → 0

Calls

4 calls:

0.0ms	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (.f64 77617 77617) (+.f64 (-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))
0.0ms	(*.f64 11/2 (pow.f64 33096 8))
0.0ms	(-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6))
0.0ms	(*.f64 1335/4 (pow.f64 33096 6))

Compiler

Compiled 0 to 0 computations (0% saved)

simplify399.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

261×	`associate-l_binary64_1383`
252×	`associate-*l/_binary64_1385`
241×	`associate-r_binary64_1382`
230×	`cancel-sign-sub-inv_binary64_1408`
164×	`distribute-rgt-in_binary64_1392`
154×	`unswap-sqr_binary64_1410`
152×	`distribute-lft-in_binary64_1391`
144×	`distribute-rgt-neg-in_binary64_1400`
133×	`sqr-pow_binary64_1414`
125×	`*-commutative_binary64_1373`
116×	`distribute-lft-neg-in_binary64_1399`
98×	`associate-/l*_binary64_1387`
86×	`exp-prod_binary64_1494`
85×	`sub-neg_binary64_1435`
84×	`distribute-lft-neg-out_binary64_1401`
83×	`distribute-neg-in_binary64_1403`
74×	`cube-prod_binary64_1470`
73×	`times-frac_binary64_1448`
69×	`pow-sqr_binary64_1415`
65×	`distribute-rgt-out_binary64_1395`
59×	`associate-/r*_binary64_1386`
55×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
49×	`distribute-rgt-neg-out_binary64_1402`
43×	`+-commutative_binary64_1372`
41×	`associate-+l+_binary64_1375`
39×	`swap-sqr_binary64_1409`
34×	`log-prod_binary64_1528`
33×	`exp-sum_binary64_1488`
31×	`distribute-neg-frac_binary64_1406`
30×	`associate-+r+_binary64_1374`
29×	`unpow3_binary64_1508`
28×	`distribute-lft-out_binary64_1393`
26×	`associate-/l/_binary64_1389`
22×	`cube-mult_binary64_1472` `associate-*r/_binary64_1384`
20×	`distribute-rgt-out--_binary64_1396`
19×	`*-lft-identity_binary64_1431`
16×	`*-rgt-identity_binary64_1432` `associate--r+_binary64_1378`
14×	`log-pow_binary64_1531` `associate--l+_binary64_1379`
13×	`prod-exp_binary64_1491`
10×	`unsub-neg_binary64_1436`
9×	`cube-unmult_binary64_1479` `distribute-lft-out--_binary64_1394`
8×	`difference-of-squares_binary64_1411`
7×	`pow-plus_binary64_1505`
6×	`pow-base-1_binary64_1502`
5×	`associate-/r/_binary64_1388` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
4×	`exp-diff_binary64_1490` `cube-div_binary64_1471` `rem-sqrt-square_binary64_1455`
2×	`div-sub_binary64_1447` `count-2_binary64_1390`
1×	`exp-sqrt_binary64_1495` `div-exp_binary64_1493` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-log-exp_binary64_1483` `rem-3cbrt-lft_binary64_1467` `rem-square-sqrt_binary64_1454` `+-rgt-identity_binary64_1427`
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` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `exp-to-pow_binary64_1504` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `rec-exp_binary64_1492` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `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` `mul-1-neg_binary64_1434` `/-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_1413` `difference-of-sqr-1_binary64_1412` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

89 → 204

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	3744
1	617	3559
2	2626	3400

prune4.2s (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	204	1	205

Error

58.1b

Counts

205 → 1

Compiler

Compiled 24316 to 24316 computations (0% saved)

localize41.0ms (0%)

Local error

Found 4 expressions with local error:

1.0b	(*.f64 1335/4 (pow.f64 33096 6))
1.0b	(.f64 (.f64 (-.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))) (-.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))))) (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))))
21.5b	(+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (*.f64 33096 2))))
62.0b	(+.f64 (.f64 1335/4 (pow.f64 33096 6)) (+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2)))))

rewrite3.8s (0.6%)

Algorithm

1×	rewrite-expression-head

Error

58.1b

Rules

32×	`associate-*r/_binary64_1384`
28×	`frac-times_binary64_1452`
23×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
22×	`flip3--_binary64_1446` `flip--_binary64_1417`
20×	`frac-add_binary64_1450`
18×	`add-log-exp_binary64_1481`
14×	`add-exp-log_binary64_1480` `associate-*l/_binary64_1385`
13×	`add-sqr-sqrt_binary64_1464`
11×	`add-cbrt-cube_binary64_1478`
10×	`associate-r_binary64_1382`
9×	`sum-log_binary64_1533` `pow1_binary64_1503`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`prod-exp_binary64_1491`
5×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
4×	`associate-+l+_binary64_1375` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `unpow-prod-down_binary64_1521`
3×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
2×	`associate-+r+_binary64_1374` `+-commutative_binary64_1372` `*-commutative_binary64_1373` `sqr-pow_binary64_1414`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510`

Counts

4 → 114

Calls

4 calls:

41.0ms	(.f64 (.f64 (-.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))) (-.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))))) (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))))
33.0ms	(+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (*.f64 33096 2))))
29.0ms	(+.f64 (.f64 1335/4 (pow.f64 33096 6)) (+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2)))))
6.0ms	(*.f64 1335/4 (pow.f64 33096 6))

Compiler

Compiled 23348 to 23348 computations (0% saved)

series1.0ms (0%)

Error

58.1b

Counts

4 → 0

Calls

4 calls:

0.0ms	(+.f64 (.f64 1335/4 (pow.f64 33096 6)) (+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2)))))
0.0ms	(.f64 (.f64 (-.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))) (-.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))))) (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))))
0.0ms	(+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (*.f64 33096 2))))
0.0ms	(*.f64 1335/4 (pow.f64 33096 6))

Compiler

Compiled 0 to 0 computations (0% saved)

simplify1.2s (0.2%)

Algorithm

1×	egg-herbie

Rules

727×	`distribute-rgt-in_binary64_1392`
711×	`distribute-lft-in_binary64_1391`
160×	`*-commutative_binary64_1373`
95×	`associate-l_binary64_1383`
65×	`cancel-sign-sub-inv_binary64_1408`
51×	`sqr-pow_binary64_1414`
44×	`distribute-rgt-neg-in_binary64_1400` `+-commutative_binary64_1372`
40×	`sub-neg_binary64_1435`
32×	`associate-r_binary64_1382`
31×	`distribute-lft-neg-in_binary64_1399`
30×	`associate--r+_binary64_1378`
27×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
26×	`swap-sqr_binary64_1409` `associate-*r/_binary64_1384`
23×	`cube-prod_binary64_1470`
22×	`pow-sqr_binary64_1415` `associate-*l/_binary64_1385`
21×	`unpow3_binary64_1508`
20×	`cube-mult_binary64_1472` `distribute-neg-in_binary64_1403`
17×	`exp-prod_binary64_1494`
16×	`associate--l+_binary64_1379`
13×	`distribute-lft-neg-out_binary64_1401`
10×	`log-prod_binary64_1528` `difference-of-squares_binary64_1411`
9×	`associate-+r+_binary64_1374`
8×	`associate-/r*_binary64_1386`
6×	`times-frac_binary64_1448` `distribute-neg-frac_binary64_1406` `distribute-rgt-out_binary64_1395`
5×	`prod-exp_binary64_1491` `cube-unmult_binary64_1479` `distribute-rgt-out--_binary64_1396` `associate-+r-_binary64_1376`
3×	`-rgt-identity_binary64_1432` `associate-/l_binary64_1387`
2×	`pow-base-1_binary64_1502` `cube-div_binary64_1471` `unswap-sqr_binary64_1410` `associate--l-_binary64_1380`
1×	`log-pow_binary64_1531` `exp-sqrt_binary64_1495` `exp-sum_binary64_1488` `1-exp_binary64_1486` `rem-sqrt-square_binary64_1455` `associate-/l/_binary64_1389` `associate--r-_binary64_1381` `associate-+l-_binary64_1377` `associate-+l+_binary64_1375`
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` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `exp-to-pow_binary64_1504` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `div-exp_binary64_1493` `rec-exp_binary64_1492` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `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-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` `div-sub_binary64_1447` `unsub-neg_binary64_1436` `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` `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` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt-neg-out_binary64_1402` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `count-2_binary64_1390` `associate-/r/_binary64_1388`

Counts

114 → 406

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	341	17521
1	1382	16471

prune35.4s (5.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	405	1	406
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	406	1	407

Error

58.1b

Counts

407 → 1

Compiler

Compiled 102702 to 102702 computations (0% saved)

localize60.0ms (0%)

Local error

Found 4 expressions with local error:

1.0b	(*.f64 11/2 (pow.f64 33096 8))
1.0b	(*.f64 11/2 (pow.f64 33096 8))
21.5b	(+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (*.f64 33096 2))))
62.3b	(+.f64 (.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (-.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))) (-.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (.f64 77617 77617) (+.f64 (-.f64 (.f64 77617 (.f64 77617 (.f64 (.f64 33096 33096) 11))) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))))) (.f64 (+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2)))) (.f64 (-.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))) (-.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2))))))))

rewrite9.2min (92.3%)

Algorithm

1×	rewrite-expression-head

Rules

3396×	`associate-*r/_binary64_1384`
2532×	`frac-add_binary64_1450`
1912×	`frac-times_binary64_1452`
1816×	`flip3--_binary64_1446` `flip--_binary64_1417`
950×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
620×	`associate-*l/_binary64_1385`
20×	`add-sqr-sqrt_binary64_1464` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
14×	`add-exp-log_binary64_1480` `associate-r_binary64_1382`
12×	`associate-+l+_binary64_1375`
11×	`add-log-exp_binary64_1481`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`associate-+r+_binary64_1374`
8×	`add-cbrt-cube_binary64_1478` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408` `unpow-prod-down_binary64_1521`
6×	`prod-exp_binary64_1491` `unswap-sqr_binary64_1410` `associate-l_binary64_1383`
4×	`sum-log_binary64_1533` `pow1_binary64_1503` `sqr-pow_binary64_1414`
2×	`+-commutative_binary64_1372` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 1178

Calls

4 calls:

84.0ms	(+.f64 (.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (-.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))) (-.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (.f64 77617 77617) (+.f64 (-.f64 (.f64 77617 (.f64 77617 (.f64 (.f64 33096 33096) 11))) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))))) (.f64 (+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2)))) (.f64 (-.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))) (-.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2))))))))
31.0ms	(+.f64 (.f64 77617 (.f64 77617 (+.f64 (-.f64 (.f64 77617 (.f64 (.f64 77617 (.f64 33096 33096)) 11)) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (*.f64 33096 2))))
6.0ms	(*.f64 11/2 (pow.f64 33096 8))
6.0ms	(*.f64 11/2 (pow.f64 33096 8))

Details

analyze0.0ms (0%)

sample33.0ms (0%)

simplify263.0ms (0%)

prune16.0ms (0%)

localize26.0ms (0%)

rewrite552.0ms (0.1%)

series1.0ms (0%)

simplify399.0ms (0.1%)

prune4.2s (0.7%)

localize41.0ms (0%)

rewrite3.8s (0.6%)

series1.0ms (0%)

simplify1.2s (0.2%)

prune35.4s (5.9%)

localize60.0ms (0%)

rewrite9.2min (92.3%)

Profiling